diff --git a/R/mfft_real_ter.R b/R/mfft_real_ter.R index 503f4497c1d28f2626a097de179bcd1e73836a3b..5e9880bdd8f3ee50b6502d7c5b48c72323dc0ee3 100644 --- a/R/mfft_real_ter.R +++ b/R/mfft_real_ter.R @@ -1,19 +1,41 @@ -### t <- seq(1024) -### -### x_orig <- cos(t*0.54423167+0.00) + 1.3 * cos(t*0.441332+2.314) + 0.134994 + 0.4*cos(t*0.653167) + 0.11 * cos(t*0.78913498) -### # x_orig <- 1.4*cos(t*0.54423167+0.41) -### xdata <- x_orig -### -analyse <- function(xdata, nfreq){ + +Q <- function(wT) {sin(wT)/(wT)*(pi^2)/(pi^2-(wT)^2)} +Qprime <- function(y) {pi^2/(pi^2-y^2)/y*(cos(y)+(sin(y)/y)*(3*y^2-pi^2)/(pi^2-y^2))} +Qsecond0 <- 2/pi^2 - 1./3. + +analyse <- function(xdata, nfreq, fast = TRUE, nu = NULL){ + + + # nu can be provided, in which case the frequencies + # are considered to be given N <- length(xdata) - hann <- function(N) {return (1-cos(2*pi*seq(0,(N-1))/(N-1)))}; + T <- N / 2 + hann <- function(N) {return (1-cos(2*pi*seq(0,(N-1))/(N)))}; hN <- hann(N) - t <- seq(N) + t <- seq(N)-1 power <- function(x) (Mod(fft(x))^2)[1:floor((N-1)/2)] hprod <- function(x,y) sum(x * hN * y)/N + if (fast){ + quarto <- function(f1,f2){ + fm <- (f1-f2)*T + fp <- (f1+f2)*T + Qm <- ifelse(fm == 0, 1 , Q(fm)) + Qp <- ifelse(fp == 0, 1 , Q(fp)) + cosm <- cos(fm)*Qm + cosp <- cos(fp)*Qp + sinm <- sin(fm)*Qm + sinp <- sin(fp)*Qp + M <- 0.5 * matrix(c( + cosm + cosp , + -sinm + sinp , + sinm + sinp , + cosm - cosp ), 2 , 2 ) + return(M) + }} else + { quarto <- function(f1,f2){ M <- matrix(c(sum(cos(f1*t)*cos(f2*t)*hN), sum(cos(f1*t)*sin(f2*t)*hN), @@ -22,16 +44,15 @@ analyse <- function(xdata, nfreq){ M <- M/N return(M) } + } # B_i = sum[m<= i](A_im) f_m the orthogonal base signals # x_m what remains of the signal at time step m - nu <- rep(0,nfreq) S <- rep(0,nfreq) - nu <- rep(0,nfreq) - phi <- rep(0,nfreq) + if (is.null(nu)) nu <- rep(NA,nfreq) phase <- rep(0,nfreq) amp <- rep(0,nfreq) A <- matrix(0,nfreq,nfreq) @@ -43,19 +64,40 @@ analyse <- function(xdata, nfreq){ freqs = 2.*pi*seq(0,(N-1))/N x[[1]] = xdata - + for (m in seq(nfreq)){ - hx <- hN*x[[m]] + hx <- hN*x[[m]] + if (is.na(nu[m])){ + # are frequencies already provided ? fbase <- freqs[which.max(power(hx))] brackets <- c(fbase-pi/N, fbase+pi/N); thx <- t(hx) + # after profiling, the fastest seems the first option below + # this is the weak link + # coding the function in c might be an option fmax = cmna::goldsectmax(function(f) - (thx %*% cos(f*t))^2 + (thx %*% sin(f*t))^2, + { + ft <- f*t + (thx %*% cos(f*t))^2 + (thx %*% sin(f*t))^2}, brackets[1], brackets[2], tol=1.e-10, m=9999) - nu[m] = fmax + # fmax = cmna::goldsectmax(function(f) { + # ft <- f*t + # (sum(hx * cos(ft)))^2 + (sum(hx %*% sin(ft)))^2}, + # brackets[1], brackets[2], tol=1.e-10, m=9999) + + # fmax = cmna::goldsectmax(function(f) { + # ft <- f*t + # Mod(sum(hx * exp(1i*ft)))}, + # brackets[1], brackets[2], tol=1.e-10, m=9999) + + + + nu[m] <- fmax +} else { + fmax <- nu[m] } # else, use the provided frequency # determine amplitude and phase @@ -64,31 +106,52 @@ analyse <- function(xdata, nfreq){ # Be X the signal for which we look for amplitude and phase # We are looking at the projection of U in the space spanned by C and S. This is + fmax <- 0.0429 q <- quarto(fmax, fmax) if (fmax > freqs[2]/2){ xx <- rbind(cos(fmax*t), sin(fmax*t)) prod <- xx %*% hx/N + + # to do : techincally given that q is only 2x2 we do not need the solve function + # it is pretty easy to o the diagonalisation by hand. a <- solve(q, prod) phase[m] <- -atan(a[2]/a[1]) - phi[m] <- prod[1]*cos(phase[m]) - prod[2]*sin(phase[m]) # must be a way to be faster } else { phase[m] = 0. - phi[m] = 0. nu[m] = 0. } - # phi[m] is < - f[[m]] <- cos(fmax*t + phase[m]) - # should be equivalent to - ## phi_test <- sum(f[[m]] * hx)/N # to be verifed - -> ok - - for (i in seq(m)) Q[m,i] = hprod(f[[m]],f[[i]]) # so remember the convetion + if (fast) # we use analytical forms of the products + { + + for (i in seq(m)) + { + + num <- (nu[m] - nu[i])*T + nup <- (nu[m] + nu[i])*T + phim <- (phase[m] - phase[i]) + phip <- (phase[m] + phase[i]) + + Qm <- ifelse(num == 0, 1 , Q(num)) + Qp <- ifelse(nup == 0, 1 , Q(nup)) + cosm <- cos(phim) * cos(num) * Qm + sinm <- sin(phim) * sin(num) * Qm + cosp <- cos(phip) * cos(nup) * Qp + sinp <- sin(phip) * sin(nup) * Qp + + Q[m,i] = 0.5 * (cosm + cosp - sinm - sinp) + } + } else { + for (i in seq(m)) + {Q[m,i] = hprod(f[[m]],f[[i]]) # so remember the convetion # these are symmetric matrices # and we only populate the j <= m + } + } - # again, in principle, the hprod can be approximated with its analytical limit + # # before normalisation # B[[m]] = sum_j=1,m A[m,j]*f[j] et @@ -163,7 +226,7 @@ analyse <- function(xdata, nfreq){ for (j in seq(m)) amp[m] = amp[m] + A[m,j]*S[m] } - OUT = data.frame(Freq=nu, Amp=amp, Phases=phase) + OUT = data.frame(nu=nu, amp=amp, phase=phase) return(OUT) } @@ -197,6 +260,8 @@ analyse <- function(xdata, nfreq){ #' @importFrom cmna goldsectmax #' @param xdata The data provided either as a time series (advised), or as a vector. #' @param nfreq is the number of frequencies returned, must be smaller that the length of xdata. +#' @param fast (default = TRUE) uses analytical formulations for the crossproducts involving sines and cosines +#' @param correction: 0: no frequency correction (equivalent to Laskar); 1 : frequency correction using linear approximation ; 2: frequency correction using sythetic data #' @author Michel Crucifix #' @references #' \insertRef{sidlichovsky97aa}{gtseries} @@ -210,38 +275,77 @@ analyse <- function(xdata, nfreq){ #' #' @export mfft_real_ter # will withold the definitive frequencies -mfft_real_ter <- function(xdata, nfreq=5, correction=TRUE){ +mfft_real_ter <- function(xdata, nfreq=5, correction=1, fast=TRUE){ N <- length(xdata) - + N2 <- N/2. xdata = stats::as.ts(xdata) dt = deltat(xdata) startx = stats::start(xdata)[1] N <- length(xdata) - OUT <- analyse(xdata, nfreq) + OUT <- analyse(xdata, nfreq, fast) # correction (methode 2) # } - if (correction){ + if (correction == 2){ xdata_synthetic <- rep(0,N) - for (i in seq(nfreq)) xdata_synthetic = xdata_synthetic + OUT$Amp[i]*cos(OUT$Freq[i]*seq(N) + OUT$Phases[i]) - OUT2 <- analyse(xdata_synthetic, nfreq) -# print ('Synthetic') -# print(OUT2) -# print ('Corrections') -# print(OUT$freqs - OUT2$freqs) - # adjust to units - OUT$Freq = OUT$Freq + (OUT$Freq - OUT2$Freq) - OUT$Amp = OUT$Amp + (OUT$Amp - OUT2$Amp) - OUT$Phases = OUT$Phases + (OUT$Phases - OUT2$Phases) + t <- seq(N)-1 + for (i in seq(nfreq)) xdata_synthetic = xdata_synthetic + OUT$amp[i]*cos(OUT$nu[i]*t + OUT$phase[i]) + OUT2 <- analyse(xdata_synthetic, nfreq, fast) + OUT$nu = OUT$nu + (OUT$nu - OUT2$nu) + OUT$amp = OUT$amp + (OUT$amp - OUT2$amp) + OUT$phase = OUT$phase + (OUT$phase - OUT2$phase) + } else if (correction == 1){ + + for (j in seq(nfreq-1)){ + epsilon = 0 * OUT$amp[j] * Qprime(-2 * OUT$nu[j] * N2)*cos(2 * OUT$nu[j] * N2 + 2 * OUT$phase[j]) + for (s in seq(j+1, nfreq)) { + epsilon = epsilon + OUT$amp[s] * + ( + Qprime( (OUT$nu[s] - OUT$nu[j])*N2)*cos((OUT$nu[j] - OUT$nu[s])*N2 + OUT$phase[j] - OUT$phase[s] ) - + Qprime(( OUT$nu[s] + OUT$nu[j])*N2)*cos((OUT$nu[j] + OUT$nu[s])*N2 + OUT$phase[j] + OUT$phase[s] ) ) + } + epsilon = epsilon / Qsecond0 / N2 / OUT$amp[j] + + OUT$nu[j] = OUT$nu[j] - epsilon + } + OUT <- analyse(xdata, nfreq, fast, nu = OUT$nu) } - OUT$Freq <- OUT$Freq/dt - OUT$Phases <- OUT$Phases - startx*OUT$Freq + + # account for tseries scaling + OUT$nu <- OUT$nu/dt + OUT$phase <- OUT$phase - startx*OUT$nu + + # rearrange terms to avoid negative amplitudes and have phases in the right quandrant + # these are cosines so even functions + + to_be_corrected <- which (OUT$amp < 0) + if (length(to_be_corrected)){ + OUT$amp[to_be_corrected] <- - OUT$amp[to_be_corrected] + OUT$phase[to_be_corrected] <- OUT$phase[to_be_corrected] + pi + } + + to_be_corrected <- which (OUT$nu < 0) + if (length(to_be_corrected)){ + OUT$nu[to_be_corrected] <- - OUT$nu[to_be_corrected] + OUT$phase[to_be_corrected] <- - OUT$phase[to_be_corrected] + } + + # finally, order termes by decreasing amplitude + o <- order(OUT$amp, decreasing = TRUE) + OUT$amp <- OUT$amp[o] + OUT$nu <- OUT$nu[o] + OUT$phase <- OUT$phase[o] + + OUT$phase <- (OUT$phase + (2*pi)) %% (2*pi) + + + # rename for class compatibility + names(OUT) <- c("Freq","Amp","Phases") + attr(OUT, "class") <- "mfft_deco" attr(OUT, "data") <- xdata attr(OUT, "nfreq") <- nfreq -# print ('After corrections') -# print(OUT) return(OUT) } diff --git a/notebook/Untitled.ipynb b/notebook/Untitled.ipynb index 13da31e4e07bc04fc583f2f1c131d85504b0bfdf..c00fdc0668d7ec6bd9a313623a504955ea4fa0cb 100644 --- a/notebook/Untitled.ipynb +++ b/notebook/Untitled.ipynb @@ -10,7 +10,7 @@ }, { "cell_type": "code", - "execution_count": 249, + "execution_count": 1, "id": "cf4e6e41", "metadata": {}, "outputs": [], @@ -30,7 +30,7 @@ }, { "cell_type": "code", - "execution_count": 84, + "execution_count": 2, "id": "20d32dda", "metadata": {}, "outputs": [], @@ -44,7 +44,7 @@ }, { "cell_type": "code", - "execution_count": 85, + "execution_count": 3, "id": "285d9179", "metadata": {}, "outputs": [ @@ -86,10 +86,46 @@ }, { "cell_type": "code", - "execution_count": 86, + "execution_count": 4, "id": "15010567", "metadata": {}, "outputs": [ + { + "data": { + "text/html": [ + "50.05" + ], + "text/latex": [ + "50.05" + ], + "text/markdown": [ + "50.05" + ], + "text/plain": [ + "[1] 50.05" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "500.5" + ], + "text/latex": [ + "500.5" + ], + "text/markdown": [ + "500.5" + ], + "text/plain": [ + "[1] 500.5" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, { "data": { "text/html": [ @@ -111,6 +147,8 @@ ], "source": [ "T <- (diff(times)[1] * length(times))/2 \n", + "T\n", + "length(times)/2. \n", "analytical_estimate <- exp(1i*(w1-w2)*T) * Q((w1-w2)*T)\n", "analytical_estimate" ] @@ -125,7 +163,7 @@ }, { "cell_type": "code", - "execution_count": 87, + "execution_count": 5, "id": "0045eb04", "metadata": {}, "outputs": [ @@ -170,7 +208,7 @@ }, { "cell_type": "code", - "execution_count": 137, + "execution_count": 6, "id": "3d958631", "metadata": {}, "outputs": [ @@ -326,7 +364,7 @@ }, { "cell_type": "code", - "execution_count": 89, + "execution_count": 7, "id": "ed1c7bf3", "metadata": {}, "outputs": [ @@ -360,7 +398,7 @@ }, { "cell_type": "code", - "execution_count": 90, + "execution_count": 8, "id": "7908feb2", "metadata": {}, "outputs": [ @@ -471,7 +509,7 @@ }, { "cell_type": "code", - "execution_count": 93, + "execution_count": 9, "id": "b677cd5a", "metadata": {}, "outputs": [ @@ -581,7 +619,7 @@ }, { "cell_type": "code", - "execution_count": 95, + "execution_count": 10, "id": "43830f81", "metadata": {}, "outputs": [ @@ -691,7 +729,7 @@ }, { "cell_type": "code", - "execution_count": 98, + "execution_count": 11, "id": "bf3bccfc", "metadata": {}, "outputs": [ @@ -789,8 +827,8 @@ "eiw1 <- cos(omega*times)\n", "eiw2 <- sin(omega2*times) \n", "hprod(eiw1, eiw2, times)})\n", - "analytical_estimates <- sapply(omegas, function (omega){ -0.5 * (\n", - " sin((omega-omega2)*T) * Q((omega-omega2)*T) -\n", + "analytical_estimates <- sapply(omegas, function (omega){ 0.5 * (\n", + " -sin((omega-omega2)*T) * Q((omega-omega2)*T) +\n", " sin((omega+omega2)*T) * Q((omega+omega2)*T))})\n", "\n", "\n", @@ -801,7 +839,7 @@ }, { "cell_type": "code", - "execution_count": 110, + "execution_count": 12, "id": "76775be8", "metadata": {}, "outputs": [ @@ -925,7 +963,7 @@ }, { "cell_type": "code", - "execution_count": 119, + "execution_count": 13, "id": "c522181b", "metadata": {}, "outputs": [ @@ -1047,7 +1085,7 @@ }, { "cell_type": "code", - "execution_count": 127, + "execution_count": 14, "id": "e2a55ee7", "metadata": {}, "outputs": [ @@ -1176,7 +1214,7 @@ }, { "cell_type": "code", - "execution_count": 230, + "execution_count": 15, "id": "40c35ca9", "metadata": {}, "outputs": [ @@ -1256,13 +1294,13 @@ }, { "cell_type": "code", - "execution_count": 359, + "execution_count": 16, "id": "2c7353b1", "metadata": {}, "outputs": [ { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAMAAADKOT/pAAADAFBMVEUAAAABAQECAgIDAwME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\n/+infwDOZQibAAAAAElFTkSuQmCC", + "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAMAAADKOT/pAAADAFBMVEUAAAABAQECAgIDAwME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\nAAAASUVORK5CYII=", "text/plain": [ "plot without title" ] @@ -1277,7 +1315,7 @@ }, { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAMAAADKOT/pAAADAFBMVEUAAAABAQECAgIDAwME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", + "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAMAAADKOT/pAAADAFBMVEUAAAABAQECAgIDAwME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\nPMYAAAAASUVORK5CYII=", "text/plain": [ "plot without title" ] @@ -1292,12 +1330,14 @@ } ], "source": [ + "times <- seq(0,100, 0.1) # repeated to be self-contained. \n", "omega1 <- 0.429\n", "omega2 <- 0.186\n", "amp1 <- 1.1\n", "amp2 <- 0.3\n", "omegas <- seq(100)*0.0000005 + 0.42872\n", "phi1 <- 0.4\n", + "phi2 <- 0.1234\n", "signal <- amp1*cos(omega1*times + phi1) + amp2*cos(omega2*times + phi2)\n", "power_with_exponential <- sapply(omegas, function(omega){\n", " Mod(hprod(signal, exp(1i*omega*times), times))^2})\n", @@ -1332,23 +1372,50 @@ }, { "cell_type": "code", - "execution_count": 364, + "execution_count": 17, "id": "3a5fb26c", "metadata": {}, "outputs": [ { "data": { "text/html": [ - "-0.000249974029680519" + "'epsilon1_self'" + ], + "text/latex": [ + "'epsilon1\\_self'" + ], + "text/markdown": [ + "'epsilon1_self'" + ], + "text/plain": [ + "[1] \"epsilon1_self\"" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1] -0.0005282845\n", + "[1] 42.9429\n", + "[1] 7.106881e-05 9.714811e-01\n" + ] + }, + { + "data": { + "text/html": [ + "-0.000248220160793655" ], "text/latex": [ - "-0.000249974029680519" + "-0.000248220160793655" ], "text/markdown": [ - "-0.000249974029680519" + "-0.000248220160793655" ], "text/plain": [ - "[1] -0.000249974" + "[1] -0.0002482202" ] }, "metadata": {}, @@ -1357,16 +1424,16 @@ { "data": { "text/html": [ - "-0.0002726114068446" + "-0.00027100684418512" ], "text/latex": [ - "-0.0002726114068446" + "-0.00027100684418512" ], "text/markdown": [ - "-0.0002726114068446" + "-0.00027100684418512" ], "text/plain": [ - "[1] -0.0002726114" + "[1] -0.0002710068" ] }, "metadata": {}, @@ -1375,16 +1442,16 @@ { "data": { "text/html": [ - "0.00336076195459364" + "0.00333718216178136" ], "text/latex": [ - "0.00336076195459364" + "0.00333718216178136" ], "text/markdown": [ - "0.00336076195459364" + "0.00333718216178136" ], "text/plain": [ - "[1] 0.003360762" + "[1] 0.003337182" ] }, "metadata": {}, @@ -1393,16 +1460,16 @@ { "data": { "text/html": [ - "0.00215319123218884" + "0.00234318979099445" ], "text/latex": [ - "0.00215319123218884" + "0.00234318979099445" ], "text/markdown": [ - "0.00215319123218884" + "0.00234318979099445" ], "text/plain": [ - "[1] 0.002153191" + "[1] 0.00234319" ] }, "metadata": {}, @@ -1423,6 +1490,15 @@ "\n", "# full versions \n", "\n", + "epsilon1_self <- (\n", + " Qprime((-omega1-omega1)*T)*cos((omega1+omega1)*T + phi1 + phi1)\n", + " ) / (Qsecond0) / T\n", + "\n", + "\"epsilon1_self\"\n", + "print(epsilon1_self * T)\n", + "print(2*omega1*T)\n", + "print(c(Qprime((-omega1-omega1)*T), cos((omega1+omega1)*T + 2*phi1)))\n", + "\n", "epsilon1_full <- (\n", " amp2 * Qprime((omega2-omega1)*T)*cos((omega1-omega2)*T + phi1 - phi2) +\n", " amp2 * Qprime((-omega2-omega1)*T)*cos((omega1+omega2)*T + phi1 + phi2) +\n", @@ -1445,13 +1521,13 @@ }, { "cell_type": "code", - "execution_count": 381, + "execution_count": 18, "id": "0be8a53a", "metadata": {}, "outputs": [ { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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", + "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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\ngg==", "text/plain": [ "plot without title" ] @@ -1502,7 +1578,7 @@ }, { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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\nVl4AAAAASUVORK5CYII=", + "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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\noBAEOwAAAIX4f5NFGTEAhhKTAAAAAElFTkSuQmCC", "text/plain": [ "plot without title" ] @@ -1540,26 +1616,1727 @@ "So the analytical method works, but only when deviations are really very small. " ] }, + { + "cell_type": "markdown", + "id": "a1754a25-7397-489f-bda6-289b8a9ac32a", + "metadata": {}, + "source": [ + "We still have a problem with inferring the phase. So consider a simple signal" + ] + }, { "cell_type": "code", - "execution_count": null, - "id": "db00d95b", + "execution_count": 19, + "id": "071e0de9", "metadata": {}, "outputs": [], - "source": [] + "source": [ + "signal <- cos ( omega1 * times + phi1 )" + ] }, { "cell_type": "code", - "execution_count": null, - "id": "071e0de9", + "execution_count": 20, + "id": "5039b290", "metadata": {}, "outputs": [], - "source": [] + "source": [ + " quarto <- function(f1,f2){\n", + " fm <- (f1-f2)*T\n", + " fp <- (f1+f2)*T\n", + " Qm <- ifelse(fm == 0, 1 , Q(fm))\n", + " Qp <- ifelse(fp == 0, 1 , Q(fp))\n", + " cosm <- cos(fm)*Qm\n", + " cosp <- cos(fp)*Qp\n", + " sinm <- sin(fm)*Qm\n", + " sinp <- sin(fp)*Qp\n", + " M <- 0.5 * matrix(c( \n", + " cosm + cosp , \n", + " -sinm + sinp , \n", + " sinm + sinp , \n", + " cosm - cosp ), 2 , 2 )\n", + " return(M)\n", + " }\n", + "\n", + "M <- quarto(omega1, omega1)\n", + " " + ] + }, + { + "cell_type": "markdown", + "id": "44ba64f1-3955-42f7-8772-c0c2b23ca519", + "metadata": {}, + "source": [ + "The matrix M is simply made of the combinations of dot products of sin / cos at same frequencies" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "8753f163-5575-487e-99da-390c1e6bf290", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "-6.15074657872583e-12" + ], + "text/latex": [ + "-6.15074657872583e-12" + ], + "text/markdown": [ + "-6.15074657872583e-12" + ], + "text/plain": [ + "[1] -6.150747e-12" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "1.04640939129256e-11" + ], + "text/latex": [ + "1.04640939129256e-11" + ], + "text/markdown": [ + "1.04640939129256e-11" + ], + "text/plain": [ + "[1] 1.046409e-11" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "1.04640939129256e-11" + ], + "text/latex": [ + "1.04640939129256e-11" + ], + "text/markdown": [ + "1.04640939129256e-11" + ], + "text/plain": [ + "[1] 1.046409e-11" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "6.15080208987706e-12" + ], + "text/latex": [ + "6.15080208987706e-12" + ], + "text/markdown": [ + "6.15080208987706e-12" + ], + "text/plain": [ + "[1] 6.150802e-12" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "hprod(cos(omega1*times), cos(omega1*times), times) - M[1,1]\n", + "hprod(cos(omega1*times), sin(omega1*times), times) - M[1,2]\n", + "hprod(sin(omega1*times), cos(omega1*times), times) - M[2,1]\n", + "hprod(sin(omega1*times), sin(omega1*times), times) - M[2,2]\n" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "05c3de2d-4dda-482d-b057-cb589771e388", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "0.00108724098323193" + ], + "text/latex": [ + "0.00108724098323193" + ], + "text/markdown": [ + "0.00108724098323193" + ], + "text/plain": [ + "[1] 0.001087241" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "-0.000631702378540738" + ], + "text/latex": [ + "-0.000631702378540738" + ], + "text/markdown": [ + "-0.000631702378540738" + ], + "text/plain": [ + "[1] -0.0006317024" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1] \"prod\"\n", + "[1] 0.4616611 -0.1953731\n", + "[1] \"vector\"\n", + "[1] 0.9232352 -0.3906816\n", + "[1] 0.921061\n", + "[1] -0.3894183\n", + "[1] 0.4003161\n", + "[1] 0.4\n" + ] + }, + { + "data": { + "text/html": [ + "0.429" + ], + "text/latex": [ + "0.429" + ], + "text/markdown": [ + "0.429" + ], + "text/plain": [ + "[1] 0.429" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "test1 <- hprod(cos(omega1*times + phi1) + 1*cos(omega2*times + phi2), cos((omega1-0.0000)*times), times)\n", + "test2 <- hprod(cos(omega1*times + phi1) + 1*cos(omega2*times + phi2), sin((omega1-0.0000)*times), times)\n", + "\n", + "# we verified that cos(omega1*times + phi1) = ((cos(omega1*times)*cos(phi1) - sin(omega1*times)*sin(phi1)))\n", + "\n", + "\n", + "test3 <- hprod(cos(omega1*times), cos(omega1*times), times)*cos(phi1) - \n", + "hprod(sin(omega1*times), cos(omega1*times), times) * sin(phi1)\n", + "\n", + "test4 <- M[1,1]*cos(phi1) - M[2,1]*sin(phi1)\n", + "test5 <- M[1,2]*cos(phi1) - M[2,2]*sin(phi1)\n", + "\n", + "\n", + "test1 - test4\n", + "test2 - test5\n", + "\n", + "ProdMat <- c(test1, test2)\n", + "ProdMat_test <- M %*% matrix(c(cos(phi1), -sin(phi1)), 2, 1)\n", + "\n", + "vector <- solve( M, ProdMat)\n", + "\n", + "print('prod')\n", + "print(ProdMat)\n", + "\n", + "print ('vector')\n", + "print (vector)\n", + "print (cos(phi1))\n", + "print (-sin(phi1))\n", + "\n", + "Phase <- -atan(vector[2] / vector[1])\n", + "\n", + "print(Phase)\n", + "print(phi1)\n", + "\n", + "omega1\n" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "f9db79a1-7d4f-483e-a799-95073eac1c8e", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "<table class=\"dataframe\">\n", + "<caption>A matrix: 2 × 2 of type dbl</caption>\n", + "<tbody>\n", + "\t<tr><td> 5.000274e-01</td><td>-4.656294e-05</td></tr>\n", + "\t<tr><td>-4.656294e-05</td><td> 4.999726e-01</td></tr>\n", + "</tbody>\n", + "</table>\n" + ], + "text/latex": [ + "A matrix: 2 × 2 of type dbl\n", + "\\begin{tabular}{ll}\n", + "\t 5.000274e-01 & -4.656294e-05\\\\\n", + "\t -4.656294e-05 & 4.999726e-01\\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "A matrix: 2 × 2 of type dbl\n", + "\n", + "| 5.000274e-01 | -4.656294e-05 |\n", + "| -4.656294e-05 | 4.999726e-01 |\n", + "\n" + ], + "text/plain": [ + " [,1] [,2] \n", + "[1,] 5.000274e-01 -4.656294e-05\n", + "[2,] -4.656294e-05 4.999726e-01" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "M" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "7e6b0310-fb9d-4d5d-abdb-ba0d6bc5d331", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "21.47145" + ], + "text/latex": [ + "21.47145" + ], + "text/markdown": [ + "21.47145" + ], + "text/plain": [ + "[1] 21.47145" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "omega1*T" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "fa60bdf6-7211-432f-91fd-cff8b1d8253a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "50.05" + ], + "text/latex": [ + "50.05" + ], + "text/markdown": [ + "50.05" + ], + "text/plain": [ + "[1] 50.05" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "T" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "a2022719-e821-4124-bc81-3d1df326120b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "0.429" + ], + "text/latex": [ + "0.429" + ], + "text/markdown": [ + "0.429" + ], + "text/plain": [ + "[1] 0.429" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "omega1" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "c50e05f5-919f-4fce-b03f-1333956b3460", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "0.500027369601001" + ], + "text/latex": [ + "0.500027369601001" + ], + "text/markdown": [ + "0.500027369601001" + ], + "text/plain": [ + "[1] 0.5000274" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "hprod(cos(omega1*times), cos(omega1*times), times)" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "8b438f78-5a24-476e-b929-2db5360e64bc", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "<table class=\"dataframe\">\n", + "<caption>A matrix: 2 × 2 of type dbl</caption>\n", + "<tbody>\n", + "\t<tr><td> 4.995265e-02</td><td>-4.651630e-06</td></tr>\n", + "\t<tr><td>-4.651630e-06</td><td> 4.994718e-02</td></tr>\n", + "</tbody>\n", + "</table>\n" + ], + "text/latex": [ + "A matrix: 2 × 2 of type dbl\n", + "\\begin{tabular}{ll}\n", + "\t 4.995265e-02 & -4.651630e-06\\\\\n", + "\t -4.651630e-06 & 4.994718e-02\\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "A matrix: 2 × 2 of type dbl\n", + "\n", + "| 4.995265e-02 | -4.651630e-06 |\n", + "| -4.651630e-06 | 4.994718e-02 |\n", + "\n" + ], + "text/plain": [ + " [,1] [,2] \n", + "[1,] 4.995265e-02 -4.651630e-06\n", + "[2,] -4.651630e-06 4.994718e-02" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "M*4995265/50002740" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "cd62aed5-f81f-46b1-9925-a520ecd46017", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "<style>\n", + ".list-inline {list-style: none; margin:0; padding: 0}\n", + ".list-inline>li {display: inline-block}\n", + ".list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n", + "</style>\n", + "<ol class=list-inline><li>1</li><li>0.999079936120883</li><li>0.996321437518614</li><li>0.991729580183044</li><li>0.985312813718316</li><li>0.977082945794521</li><li>0.967055120420072</li><li>0.955247790074796</li><li>0.94168268175501</li><li>0.926384756993079</li><li>0.909382165924999</li><li>0.890706195490557</li><li>0.870391211861362</li><li>0.848474597202697</li><li>0.824996680885562</li><li>0.800000665275479</li><li>0.773532546234616</li><li>0.745641028483529</li><li>0.716377435978251</li><li>0.685795617467657</li><li>0.653951847404885</li><li>0.620904722395154</li><li>0.586715053370525</li><li>0.551445753690015</li><li>0.515161723370979</li><li>0.477929729664789</li><li>0.439818284196557</li><li>0.400897516894995</li><li>0.361239046944388</li><li>0.32091585099614</li><li>0.280002128882418</li><li>0.238573167078973</li><li>0.196705200168417</li><li>0.154475270558841</li><li>0.11196108671595</li><li>0.0692408801695507</li><li>0.0263932615575467</li><li>-0.01650292402768</li><li>-0.059368742124311</li><li>-0.102125314150588</li><li>-0.144693962551477</li><li>-0.186996355575427</li><li>-0.228954651414794</li><li>-0.270491641444715</li><li>-0.311530892296844</li><li>-0.35199688650651</li><li>-0.391815161474503</li><li>-0.43091244648777</li><li>-0.469216797546886</li><li>-0.506657729752205</li><li>-0.543166347005084</li><li>-0.5786754687855</li><li>-0.613119753772794</li><li>-0.646435820082049</li><li>-0.678562361894854</li><li>-0.709440262269843</li><li>-0.73901270192542</li><li>-0.767225263794497</li><li>-0.794026033158846</li><li>-0.819365693178819</li><li>-0.843197615642628</li><li>-0.865477946768217</li><li>-0.886165687899817</li><li>-0.905222770950718</li><li>-0.922614128453406</li><li>-0.938307758088188</li><li>-0.952274781571545</li><li>-0.964489497795866</li><li>-0.974929430122767</li><li>-0.983575367742979</li><li>-0.990411401026692</li><li>-0.995424950799303</li><li>-0.99860679148871</li><li>-0.999951068101537</li><li>-0.999455306997073</li><li>-0.99712042043909</li><li>-0.992950704917154</li><li>-0.986953833240542</li><li>-0.979140840419288</li><li>-0.969526103358357</li><li>-0.958127314402303</li><li>-0.944965448779096</li><li>-0.930064726003017</li><li>-0.913452565307665</li><li>-0.89515953519106</li><li>-0.875219297165702</li><li>-0.853668543817087</li><li>-0.830546931284662</li><li>-0.805897006289464</li><li>-0.779764127842714</li><li>-0.752196383779446</li><li>-0.723244502270742</li><li>-0.692961758477418</li><li>-0.661403876516926</li><li>-0.62862892692385</li><li>-0.594697219792713</li><li>-0.55967119379969</li><li>-0.523615301307472</li><li>-0.486595889764683</li><li>-0.448681079618095</li><li>-0.409940638962306</li><li>-0.370445855157534</li><li>-0.330269403651764</li><li>-0.289485214248639</li><li>-0.248168335067177</li><li>-0.206394794443643</li><li>-0.164241461029697</li><li>-0.121785902344259</li><li>-0.0791062420393542</li><li>-0.0362810161426243</li><li>0.00661097145900751</li><li>0.0494907940285487</li><li>0.09227954721422</li><li>0.134898494243546</li><li>0.177269210809069</li><li>0.219313729379103</li><li>0.260954682667946</li><li>0.302115446001568</li><li>0.342720278316812</li><li>0.382694461534615</li><li>0.421964438050826</li><li>0.460457946091593</li><li>0.498104152684256</li><li>0.534833783999072</li><li>0.570579252821911</li><li>0.605274782923359</li><li>0.638856530095391</li><li>0.671262699632865</li><li>0.702433660043676</li><li>0.732312052778324</li><li>0.760842897776964</li><li>0.787973694639749</li><li>0.813654519234269</li><li>0.837838115562333</li><li>0.860479982717044</li><li>0.881538456770152</li><li>0.900974787439006</li><li>0.918753209392024</li><li>0.934841008061474</li><li>0.949208579842452</li><li>0.961829486567309</li><li>0.972680504155245</li><li>0.981741665347591</li><li>0.988996296450116</li><li>0.994431048014751</li><li>0.998035919404285</li><li>0.999804277194807</li><li>0.999732867382062</li><li>0.997821821369228</li><li>0.99407465572512</li><li>0.988498265713255</li><li>0.981102912603684</li><li>0.971902204790947</li><li>0.960913072752884</li><li>0.948155737896398</li><li>0.93365367534748</li><li>0.917433570753978</li><li>0.899525271180594</li><li>0.879961730186478</li><li>0.858778947186462</li><li>0.836015901207541</li><li>0.811714479162481</li><li>0.785919398772555</li><li>0.758678126281212</li><li>0.730040789110133</li><li>0.70006008361837</li><li>0.668791178134308</li><li>0.6362916114389</li><li>0.60262118688695</li><li>0.56784186236131</li><li>0.532017636262451</li><li>0.495214429743235</li><li>0.457499965405572</li><li>0.418943642682172</li><li>0.379616410132738</li><li>0.339590634889538</li><li>0.29893996949264</li><li>0.257739216359835</li><li>0.216064190140618</li><li>0.173991578207564</li><li>0.131598799541752</li><li>0.0889638622719511</li><li>0.0461652201297063</li><li>0.00328162808443396</li><li>-0.0396080025757696</li><li>-0.0824247494509826</li><li>-0.125089824256767</li><li>-0.167524717804663</li><li>-0.209651344469138</li><li>-0.251392185875103</li><li>-0.292670433541635</li><li>-0.333410130219395</li><li>-0.373536309661659</li><li>-0.412975134571807</li><li>-0.45165403247337</li><li>-0.489501829252658</li><li>-0.526448880128234</li><li>-0.562427197806194</li><li>-0.597370577585482</li><li>-0.631214719183006</li><li>⋯</li><li>-0.981121386747115</li><li>-0.988512704384468</li><li>-0.994085032355116</li><li>-0.997828116863683</li><li>-0.999735070156461</li><li>-0.999802383195764</li><li>-0.998029932117</li><li>-0.994420978456598</li><li>-0.988982163150368</li><li>-0.981723494313325</li><li>-0.972658328823485</li><li>-0.9618033477435</li><li>-0.949178525625368</li><li>-0.934807093754715</li><li>-0.91871549740225</li><li>-0.900933347161089</li><li>-0.881493364459503</li><li>-0.860431321349273</li><li>-0.837785974680577</li><li>-0.813598994784412</li><li>-0.787914888793869</li><li>-0.760780918745329</li><li>-0.732247014610271</li><li>-0.702365682417749</li><li>-0.671191907636579</li><li>-0.63878305399506</li><li>-0.6051987579244</li><li>-0.570500818820022</li><li>-0.53475308532285</li><li>-0.498021337829574</li><li>-0.460373167448359</li><li>-0.421877851622581</li><li>-0.382606226651443</li><li>-0.342630557342169</li><li>-0.302024404033518</li><li>-0.260862487235333</li><li>-0.219220550133312</li><li>-0.177175219211807</li><li>-0.134803863251367</li><li>-0.0921844509602341</li><li>-0.0493954075020113</li><li>-0.00651547018332186</li><li>0.036376456432917</li><li>0.0792014457219203</li><li>0.121880694232165</li><li>0.164335666693761</li><li>0.206488240533399</li><li>0.248260849629889</li><li>0.289576627045685</li><li>0.330359546471918</li><li>0.370534562126505</li><li>0.410027746847923</li><li>0.448766428130727</li><li>0.486679321852158</li><li>0.52369666344409</li><li>0.559750336268729</li><li>0.59477399696192</li><li>0.628703197513424</li><li>0.661475503859488</li><li>0.693030610769508</li><li>0.72331045281535</li><li>0.75225931121914</li><li>0.779823916382975</li><li>0.805953545911729</li><li>0.830600117948804</li><li>0.853718279652852</li><li>0.875265490652795</li><li>0.895202101327567</li><li>0.913491425766456</li><li>0.93009980927588</li><li>0.944996690308329</li><li>0.9581546566995</li><li>0.969549496110199</li><li>0.979160240580121</li><li>0.986969205111594</li><li>0.992962020212218</li><li>0.997127658336576</li><li>0.999458454178327</li><li>0.999950118775341</li><li>0.998601747401947</li><li>0.995415821233737</li><li>0.990398202781889</li><li>0.983558125105396</li><li>0.974908174821061</li><li>0.964464268942509</li><li>0.952245625590845</li><li>0.938274728630879</li><li>0.922577286297907</li><li>0.905182183891304</li><li>0.886121430621864</li><li>0.865430100710767</li><li>0.843146268848539</li><li>0.819310940132752</li><li>0.793967974613405</li><li>0.767164006584824</li><li>0.738948358772602</li><li>0.709372951573506</li><li>0.678492207515269</li><li>0.646362951112247</li><li>0.61304430430099</li><li>0.578597577648355</li><li>0.543086157532248</li><li>0.506575389502547</li><li>0.469132458036984</li><li>0.430826262913104</li><li>0.391727292423855</li><li>0.351907493670166</li><li>0.311440140169036</li><li>0.270399697020961</li><li>0.228861683884571</li><li>0.18690253601087</li><li>0.144599463592577</li><li>0.102030309687495</li><li>0.0592734069773824</li><li>0.0164074336257588</li><li>-0.026488731499921</li><li>-0.0693361539754803</li><li>-0.112055989069467</li><li>-0.154569626827484</li><li>-0.196798836724595</li><li>-0.238665911619469</li><li>-0.280093810745427</li><li>-0.321006301475322</li><li>-0.361328099599298</li><li>-0.400985007857371</li><li>-0.439904052471857</li><li>-0.478013617428429</li><li>-0.515243576258756</li><li>-0.551525421082152</li><li>-0.586792388668843</li><li>-0.62097958329283</li><li>-0.654024096148297</li><li>-0.685865121109897</li><li>-0.716444066623728</li><li>-0.745704663523343</li><li>-0.773593068572168</li><li>-0.800057963541931</li><li>-0.825050649644788</li><li>-0.848525137145285</li><li>-0.870438229987357</li><li>-0.890749605280604</li><li>-0.909421887499535</li><li>-0.926420717259334</li><li>-0.941714814541499</li><li>-0.955276036253088</li><li>-0.967079428013591</li><li>-0.977103270074187</li><li>-0.985329117284859</li><li>-0.991741833035817</li><li>-0.996329617110805</li><li>-0.999084027400996</li><li>-0.999999995439557</li><li>-0.999075835728275</li><li>-0.996313248839089</li><li>-0.991717318284818</li><li>-0.985296501164848</li><li>-0.977062612602993</li><li>-0.967030804006154</li><li>-0.955219535183797</li><li>-0.941650540379541</li><li>-0.926348788277374</li><li>-0.90934243605609</li><li>-0.890662777576479</li><li>-0.870344185796626</li><li>-0.848424049521271</li><li>-0.824942704601635</li><li>-0.799943359712312</li><li>-0.773472016841758</li><li>-0.745577386642805</li><li>-0.716310798798779</li><li>-0.685726107570356</li><li>-0.653879592696851</li><li>-0.620829855834276</li><li>-0.58663771272084</li><li>-0.551366081268205</li><li>-0.515079865784473</li><li>-0.477845837542009</li><li>-0.439732511909722</li><li>-0.400810022276078</li><li>-0.361149990994658</li><li>-0.320825397589923</li><li>-0.279910444465543</li><li>-0.238480420362475</li><li>-0.19661156181811</li><li>-0.154380912881246</li><li>-0.111866183341248</li><li>-0.0691456057320828</li><li>-0.0262977913744432</li><li>0.0165984142790776</li><li>0.0594640767297409</li><li>0.102220317682203</li><li>0.144788460190643</li><li>0.187090173434413</li><li>0.229047616856748</li><li>0.270583583401346</li><li>0.311621641583212</li><li>0.352086276132335</li><li>0.391903026951452</li><li>0.430998626132134</li><li>0.469301132777109</li></ol>\n" + ], + "text/latex": [ + "\\begin{enumerate*}\n", + "\\item 1\n", + "\\item 0.999079936120883\n", + "\\item 0.996321437518614\n", + "\\item 0.991729580183044\n", + "\\item 0.985312813718316\n", + "\\item 0.977082945794521\n", + "\\item 0.967055120420072\n", + "\\item 0.955247790074796\n", + "\\item 0.94168268175501\n", + "\\item 0.926384756993079\n", + "\\item 0.909382165924999\n", + "\\item 0.890706195490557\n", + "\\item 0.870391211861362\n", + "\\item 0.848474597202697\n", + "\\item 0.824996680885562\n", + "\\item 0.800000665275479\n", + "\\item 0.773532546234616\n", + "\\item 0.745641028483529\n", + "\\item 0.716377435978251\n", + "\\item 0.685795617467657\n", + "\\item 0.653951847404885\n", + "\\item 0.620904722395154\n", + "\\item 0.586715053370525\n", + "\\item 0.551445753690015\n", + "\\item 0.515161723370979\n", + "\\item 0.477929729664789\n", + "\\item 0.439818284196557\n", + "\\item 0.400897516894995\n", + "\\item 0.361239046944388\n", + "\\item 0.32091585099614\n", + "\\item 0.280002128882418\n", + "\\item 0.238573167078973\n", + "\\item 0.196705200168417\n", + "\\item 0.154475270558841\n", + "\\item 0.11196108671595\n", + "\\item 0.0692408801695507\n", + "\\item 0.0263932615575467\n", + "\\item -0.01650292402768\n", + "\\item -0.059368742124311\n", + "\\item -0.102125314150588\n", + "\\item -0.144693962551477\n", + "\\item -0.186996355575427\n", + "\\item -0.228954651414794\n", + "\\item -0.270491641444715\n", + "\\item -0.311530892296844\n", + "\\item -0.35199688650651\n", + "\\item -0.391815161474503\n", + "\\item -0.43091244648777\n", + "\\item -0.469216797546886\n", + "\\item -0.506657729752205\n", + "\\item -0.543166347005084\n", + "\\item -0.5786754687855\n", + "\\item -0.613119753772794\n", + "\\item -0.646435820082049\n", + "\\item -0.678562361894854\n", + "\\item -0.709440262269843\n", + "\\item -0.73901270192542\n", + "\\item -0.767225263794497\n", + "\\item -0.794026033158846\n", + "\\item -0.819365693178819\n", + "\\item -0.843197615642628\n", + "\\item -0.865477946768217\n", + "\\item -0.886165687899817\n", + "\\item -0.905222770950718\n", + "\\item -0.922614128453406\n", + "\\item -0.938307758088188\n", + "\\item -0.952274781571545\n", + "\\item -0.964489497795866\n", + "\\item -0.974929430122767\n", + "\\item -0.983575367742979\n", + "\\item -0.990411401026692\n", + "\\item -0.995424950799303\n", + "\\item -0.99860679148871\n", + "\\item -0.999951068101537\n", + "\\item -0.999455306997073\n", + "\\item -0.99712042043909\n", + "\\item -0.992950704917154\n", + "\\item -0.986953833240542\n", + "\\item -0.979140840419288\n", + "\\item -0.969526103358357\n", + "\\item -0.958127314402303\n", + "\\item -0.944965448779096\n", + "\\item -0.930064726003017\n", + "\\item -0.913452565307665\n", + "\\item -0.89515953519106\n", + "\\item -0.875219297165702\n", + "\\item -0.853668543817087\n", + "\\item -0.830546931284662\n", + "\\item -0.805897006289464\n", + "\\item -0.779764127842714\n", + "\\item -0.752196383779446\n", + "\\item -0.723244502270742\n", + "\\item -0.692961758477418\n", + "\\item -0.661403876516926\n", + "\\item -0.62862892692385\n", + "\\item -0.594697219792713\n", + "\\item -0.55967119379969\n", + "\\item -0.523615301307472\n", + "\\item -0.486595889764683\n", + "\\item -0.448681079618095\n", + "\\item -0.409940638962306\n", + "\\item -0.370445855157534\n", + "\\item -0.330269403651764\n", + "\\item -0.289485214248639\n", + "\\item -0.248168335067177\n", + "\\item -0.206394794443643\n", + "\\item -0.164241461029697\n", + "\\item -0.121785902344259\n", + "\\item -0.0791062420393542\n", + "\\item -0.0362810161426243\n", + "\\item 0.00661097145900751\n", + "\\item 0.0494907940285487\n", + "\\item 0.09227954721422\n", + "\\item 0.134898494243546\n", + "\\item 0.177269210809069\n", + "\\item 0.219313729379103\n", + "\\item 0.260954682667946\n", + "\\item 0.302115446001568\n", + "\\item 0.342720278316812\n", + "\\item 0.382694461534615\n", + "\\item 0.421964438050826\n", + "\\item 0.460457946091593\n", + "\\item 0.498104152684256\n", + "\\item 0.534833783999072\n", + "\\item 0.570579252821911\n", + "\\item 0.605274782923359\n", + "\\item 0.638856530095391\n", + "\\item 0.671262699632865\n", + "\\item 0.702433660043676\n", + "\\item 0.732312052778324\n", + "\\item 0.760842897776964\n", + "\\item 0.787973694639749\n", + "\\item 0.813654519234269\n", + "\\item 0.837838115562333\n", + "\\item 0.860479982717044\n", + "\\item 0.881538456770152\n", + "\\item 0.900974787439006\n", + "\\item 0.918753209392024\n", + "\\item 0.934841008061474\n", + "\\item 0.949208579842452\n", + "\\item 0.961829486567309\n", + "\\item 0.972680504155245\n", + "\\item 0.981741665347591\n", + "\\item 0.988996296450116\n", + "\\item 0.994431048014751\n", + "\\item 0.998035919404285\n", + "\\item 0.999804277194807\n", + "\\item 0.999732867382062\n", + "\\item 0.997821821369228\n", + "\\item 0.99407465572512\n", + "\\item 0.988498265713255\n", + "\\item 0.981102912603684\n", + "\\item 0.971902204790947\n", + "\\item 0.960913072752884\n", + "\\item 0.948155737896398\n", + "\\item 0.93365367534748\n", + "\\item 0.917433570753978\n", + "\\item 0.899525271180594\n", + "\\item 0.879961730186478\n", + "\\item 0.858778947186462\n", + "\\item 0.836015901207541\n", + "\\item 0.811714479162481\n", + "\\item 0.785919398772555\n", + "\\item 0.758678126281212\n", + "\\item 0.730040789110133\n", + "\\item 0.70006008361837\n", + "\\item 0.668791178134308\n", + "\\item 0.6362916114389\n", + "\\item 0.60262118688695\n", + "\\item 0.56784186236131\n", + "\\item 0.532017636262451\n", + "\\item 0.495214429743235\n", + "\\item 0.457499965405572\n", + "\\item 0.418943642682172\n", + "\\item 0.379616410132738\n", + "\\item 0.339590634889538\n", + "\\item 0.29893996949264\n", + "\\item 0.257739216359835\n", + "\\item 0.216064190140618\n", + "\\item 0.173991578207564\n", + "\\item 0.131598799541752\n", + "\\item 0.0889638622719511\n", + "\\item 0.0461652201297063\n", + "\\item 0.00328162808443396\n", + "\\item -0.0396080025757696\n", + "\\item -0.0824247494509826\n", + "\\item -0.125089824256767\n", + "\\item -0.167524717804663\n", + "\\item -0.209651344469138\n", + "\\item -0.251392185875103\n", + "\\item -0.292670433541635\n", + "\\item -0.333410130219395\n", + "\\item -0.373536309661659\n", + "\\item -0.412975134571807\n", + "\\item -0.45165403247337\n", + "\\item -0.489501829252658\n", + "\\item -0.526448880128234\n", + "\\item -0.562427197806194\n", + "\\item -0.597370577585482\n", + "\\item -0.631214719183006\n", + "\\item ⋯\n", + "\\item -0.981121386747115\n", + "\\item -0.988512704384468\n", + "\\item -0.994085032355116\n", + "\\item -0.997828116863683\n", + "\\item -0.999735070156461\n", + "\\item -0.999802383195764\n", + "\\item -0.998029932117\n", + "\\item -0.994420978456598\n", + "\\item -0.988982163150368\n", + "\\item -0.981723494313325\n", + "\\item -0.972658328823485\n", + "\\item -0.9618033477435\n", + "\\item -0.949178525625368\n", + "\\item -0.934807093754715\n", + "\\item -0.91871549740225\n", + "\\item -0.900933347161089\n", + "\\item -0.881493364459503\n", + "\\item -0.860431321349273\n", + "\\item -0.837785974680577\n", + "\\item -0.813598994784412\n", + "\\item -0.787914888793869\n", + "\\item -0.760780918745329\n", + "\\item -0.732247014610271\n", + "\\item -0.702365682417749\n", + "\\item -0.671191907636579\n", + "\\item -0.63878305399506\n", + "\\item -0.6051987579244\n", + "\\item -0.570500818820022\n", + "\\item -0.53475308532285\n", + "\\item -0.498021337829574\n", + "\\item -0.460373167448359\n", + "\\item -0.421877851622581\n", + "\\item -0.382606226651443\n", + "\\item -0.342630557342169\n", + "\\item -0.302024404033518\n", + "\\item -0.260862487235333\n", + "\\item -0.219220550133312\n", + "\\item -0.177175219211807\n", + "\\item -0.134803863251367\n", + "\\item -0.0921844509602341\n", + "\\item -0.0493954075020113\n", + "\\item -0.00651547018332186\n", + "\\item 0.036376456432917\n", + "\\item 0.0792014457219203\n", + "\\item 0.121880694232165\n", + "\\item 0.164335666693761\n", + "\\item 0.206488240533399\n", + "\\item 0.248260849629889\n", + "\\item 0.289576627045685\n", + "\\item 0.330359546471918\n", + "\\item 0.370534562126505\n", + "\\item 0.410027746847923\n", + "\\item 0.448766428130727\n", + "\\item 0.486679321852158\n", + "\\item 0.52369666344409\n", + "\\item 0.559750336268729\n", + "\\item 0.59477399696192\n", + "\\item 0.628703197513424\n", + "\\item 0.661475503859488\n", + "\\item 0.693030610769508\n", + "\\item 0.72331045281535\n", + "\\item 0.75225931121914\n", + "\\item 0.779823916382975\n", + "\\item 0.805953545911729\n", + "\\item 0.830600117948804\n", + "\\item 0.853718279652852\n", + "\\item 0.875265490652795\n", + "\\item 0.895202101327567\n", + "\\item 0.913491425766456\n", + "\\item 0.93009980927588\n", + "\\item 0.944996690308329\n", + "\\item 0.9581546566995\n", + "\\item 0.969549496110199\n", + "\\item 0.979160240580121\n", + "\\item 0.986969205111594\n", + "\\item 0.992962020212218\n", + "\\item 0.997127658336576\n", + "\\item 0.999458454178327\n", + "\\item 0.999950118775341\n", + "\\item 0.998601747401947\n", + "\\item 0.995415821233737\n", + "\\item 0.990398202781889\n", + "\\item 0.983558125105396\n", + "\\item 0.974908174821061\n", + "\\item 0.964464268942509\n", + "\\item 0.952245625590845\n", + "\\item 0.938274728630879\n", + "\\item 0.922577286297907\n", + "\\item 0.905182183891304\n", + "\\item 0.886121430621864\n", + "\\item 0.865430100710767\n", + "\\item 0.843146268848539\n", + "\\item 0.819310940132752\n", + "\\item 0.793967974613405\n", + "\\item 0.767164006584824\n", + "\\item 0.738948358772602\n", + "\\item 0.709372951573506\n", + "\\item 0.678492207515269\n", + "\\item 0.646362951112247\n", + "\\item 0.61304430430099\n", + "\\item 0.578597577648355\n", + "\\item 0.543086157532248\n", + "\\item 0.506575389502547\n", + "\\item 0.469132458036984\n", + "\\item 0.430826262913104\n", + "\\item 0.391727292423855\n", + "\\item 0.351907493670166\n", + "\\item 0.311440140169036\n", + "\\item 0.270399697020961\n", + "\\item 0.228861683884571\n", + "\\item 0.18690253601087\n", + "\\item 0.144599463592577\n", + "\\item 0.102030309687495\n", + "\\item 0.0592734069773824\n", + "\\item 0.0164074336257588\n", + "\\item -0.026488731499921\n", + "\\item -0.0693361539754803\n", + "\\item -0.112055989069467\n", + "\\item -0.154569626827484\n", + "\\item -0.196798836724595\n", + "\\item -0.238665911619469\n", + "\\item -0.280093810745427\n", + "\\item -0.321006301475322\n", + "\\item -0.361328099599298\n", + "\\item -0.400985007857371\n", + "\\item -0.439904052471857\n", + "\\item -0.478013617428429\n", + "\\item -0.515243576258756\n", + "\\item -0.551525421082152\n", + "\\item -0.586792388668843\n", + "\\item -0.62097958329283\n", + "\\item -0.654024096148297\n", + "\\item -0.685865121109897\n", + "\\item -0.716444066623728\n", + "\\item -0.745704663523343\n", + "\\item -0.773593068572168\n", + "\\item -0.800057963541931\n", + "\\item -0.825050649644788\n", + "\\item -0.848525137145285\n", + "\\item -0.870438229987357\n", + "\\item -0.890749605280604\n", + "\\item -0.909421887499535\n", + "\\item -0.926420717259334\n", + "\\item -0.941714814541499\n", + "\\item -0.955276036253088\n", + "\\item -0.967079428013591\n", + "\\item -0.977103270074187\n", + "\\item -0.985329117284859\n", + "\\item -0.991741833035817\n", + "\\item -0.996329617110805\n", + "\\item -0.999084027400996\n", + "\\item -0.999999995439557\n", + "\\item -0.999075835728275\n", + "\\item -0.996313248839089\n", + "\\item -0.991717318284818\n", + "\\item -0.985296501164848\n", + "\\item -0.977062612602993\n", + "\\item -0.967030804006154\n", + "\\item -0.955219535183797\n", + "\\item -0.941650540379541\n", + "\\item -0.926348788277374\n", + "\\item -0.90934243605609\n", + "\\item -0.890662777576479\n", + "\\item -0.870344185796626\n", + "\\item -0.848424049521271\n", + "\\item -0.824942704601635\n", + "\\item -0.799943359712312\n", + "\\item -0.773472016841758\n", + "\\item -0.745577386642805\n", + "\\item -0.716310798798779\n", + "\\item -0.685726107570356\n", + "\\item -0.653879592696851\n", + "\\item -0.620829855834276\n", + "\\item -0.58663771272084\n", + "\\item -0.551366081268205\n", + "\\item -0.515079865784473\n", + "\\item -0.477845837542009\n", + "\\item -0.439732511909722\n", + "\\item -0.400810022276078\n", + "\\item -0.361149990994658\n", + "\\item -0.320825397589923\n", + "\\item -0.279910444465543\n", + "\\item -0.238480420362475\n", + "\\item -0.19661156181811\n", + "\\item -0.154380912881246\n", + "\\item -0.111866183341248\n", + "\\item -0.0691456057320828\n", + "\\item -0.0262977913744432\n", + "\\item 0.0165984142790776\n", + "\\item 0.0594640767297409\n", + "\\item 0.102220317682203\n", + "\\item 0.144788460190643\n", + "\\item 0.187090173434413\n", + "\\item 0.229047616856748\n", + "\\item 0.270583583401346\n", + "\\item 0.311621641583212\n", + "\\item 0.352086276132335\n", + "\\item 0.391903026951452\n", + "\\item 0.430998626132134\n", + "\\item 0.469301132777109\n", + "\\end{enumerate*}\n" + ], + "text/markdown": [ + "1. 1\n", + "2. 0.999079936120883\n", + "3. 0.996321437518614\n", + "4. 0.991729580183044\n", + "5. 0.985312813718316\n", + "6. 0.977082945794521\n", + "7. 0.967055120420072\n", + "8. 0.955247790074796\n", + "9. 0.94168268175501\n", + "10. 0.926384756993079\n", + "11. 0.909382165924999\n", + "12. 0.890706195490557\n", + "13. 0.870391211861362\n", + "14. 0.848474597202697\n", + "15. 0.824996680885562\n", + "16. 0.800000665275479\n", + "17. 0.773532546234616\n", + "18. 0.745641028483529\n", + "19. 0.716377435978251\n", + "20. 0.685795617467657\n", + "21. 0.653951847404885\n", + "22. 0.620904722395154\n", + "23. 0.586715053370525\n", + "24. 0.551445753690015\n", + "25. 0.515161723370979\n", + "26. 0.477929729664789\n", + "27. 0.439818284196557\n", + "28. 0.400897516894995\n", + "29. 0.361239046944388\n", + "30. 0.32091585099614\n", + "31. 0.280002128882418\n", + "32. 0.238573167078973\n", + "33. 0.196705200168417\n", + "34. 0.154475270558841\n", + "35. 0.11196108671595\n", + "36. 0.0692408801695507\n", + "37. 0.0263932615575467\n", + "38. -0.01650292402768\n", + "39. -0.059368742124311\n", + "40. -0.102125314150588\n", + "41. -0.144693962551477\n", + "42. -0.186996355575427\n", + "43. -0.228954651414794\n", + "44. -0.270491641444715\n", + "45. -0.311530892296844\n", + "46. -0.35199688650651\n", + "47. -0.391815161474503\n", + "48. -0.43091244648777\n", + "49. -0.469216797546886\n", + "50. -0.506657729752205\n", + "51. -0.543166347005084\n", + "52. -0.5786754687855\n", + "53. -0.613119753772794\n", + "54. -0.646435820082049\n", + "55. -0.678562361894854\n", + "56. -0.709440262269843\n", + "57. -0.73901270192542\n", + "58. -0.767225263794497\n", + "59. -0.794026033158846\n", + "60. -0.819365693178819\n", + "61. -0.843197615642628\n", + "62. -0.865477946768217\n", + "63. -0.886165687899817\n", + "64. -0.905222770950718\n", + "65. -0.922614128453406\n", + "66. -0.938307758088188\n", + "67. -0.952274781571545\n", + "68. -0.964489497795866\n", + "69. -0.974929430122767\n", + "70. -0.983575367742979\n", + "71. -0.990411401026692\n", + "72. -0.995424950799303\n", + "73. -0.99860679148871\n", + "74. -0.999951068101537\n", + "75. -0.999455306997073\n", + "76. -0.99712042043909\n", + "77. -0.992950704917154\n", + "78. -0.986953833240542\n", + "79. -0.979140840419288\n", + "80. -0.969526103358357\n", + "81. -0.958127314402303\n", + "82. -0.944965448779096\n", + "83. -0.930064726003017\n", + "84. -0.913452565307665\n", + "85. -0.89515953519106\n", + "86. -0.875219297165702\n", + "87. -0.853668543817087\n", + "88. -0.830546931284662\n", + "89. -0.805897006289464\n", + "90. -0.779764127842714\n", + "91. -0.752196383779446\n", + "92. -0.723244502270742\n", + "93. -0.692961758477418\n", + "94. -0.661403876516926\n", + "95. -0.62862892692385\n", + "96. -0.594697219792713\n", + "97. -0.55967119379969\n", + "98. -0.523615301307472\n", + "99. -0.486595889764683\n", + "100. -0.448681079618095\n", + "101. -0.409940638962306\n", + "102. -0.370445855157534\n", + "103. -0.330269403651764\n", + "104. -0.289485214248639\n", + "105. -0.248168335067177\n", + "106. -0.206394794443643\n", + "107. -0.164241461029697\n", + "108. -0.121785902344259\n", + "109. -0.0791062420393542\n", + "110. -0.0362810161426243\n", + "111. 0.00661097145900751\n", + "112. 0.0494907940285487\n", + "113. 0.09227954721422\n", + "114. 0.134898494243546\n", + "115. 0.177269210809069\n", + "116. 0.219313729379103\n", + "117. 0.260954682667946\n", + "118. 0.302115446001568\n", + "119. 0.342720278316812\n", + "120. 0.382694461534615\n", + "121. 0.421964438050826\n", + "122. 0.460457946091593\n", + "123. 0.498104152684256\n", + "124. 0.534833783999072\n", + "125. 0.570579252821911\n", + "126. 0.605274782923359\n", + "127. 0.638856530095391\n", + "128. 0.671262699632865\n", + "129. 0.702433660043676\n", + "130. 0.732312052778324\n", + "131. 0.760842897776964\n", + "132. 0.787973694639749\n", + "133. 0.813654519234269\n", + "134. 0.837838115562333\n", + "135. 0.860479982717044\n", + "136. 0.881538456770152\n", + "137. 0.900974787439006\n", + "138. 0.918753209392024\n", + "139. 0.934841008061474\n", + "140. 0.949208579842452\n", + "141. 0.961829486567309\n", + "142. 0.972680504155245\n", + "143. 0.981741665347591\n", + "144. 0.988996296450116\n", + "145. 0.994431048014751\n", + "146. 0.998035919404285\n", + "147. 0.999804277194807\n", + "148. 0.999732867382062\n", + "149. 0.997821821369228\n", + "150. 0.99407465572512\n", + "151. 0.988498265713255\n", + "152. 0.981102912603684\n", + "153. 0.971902204790947\n", + "154. 0.960913072752884\n", + "155. 0.948155737896398\n", + "156. 0.93365367534748\n", + "157. 0.917433570753978\n", + "158. 0.899525271180594\n", + "159. 0.879961730186478\n", + "160. 0.858778947186462\n", + "161. 0.836015901207541\n", + "162. 0.811714479162481\n", + "163. 0.785919398772555\n", + "164. 0.758678126281212\n", + "165. 0.730040789110133\n", + "166. 0.70006008361837\n", + "167. 0.668791178134308\n", + "168. 0.6362916114389\n", + "169. 0.60262118688695\n", + "170. 0.56784186236131\n", + "171. 0.532017636262451\n", + "172. 0.495214429743235\n", + "173. 0.457499965405572\n", + "174. 0.418943642682172\n", + "175. 0.379616410132738\n", + "176. 0.339590634889538\n", + "177. 0.29893996949264\n", + "178. 0.257739216359835\n", + "179. 0.216064190140618\n", + "180. 0.173991578207564\n", + "181. 0.131598799541752\n", + "182. 0.0889638622719511\n", + "183. 0.0461652201297063\n", + "184. 0.00328162808443396\n", + "185. -0.0396080025757696\n", + "186. -0.0824247494509826\n", + "187. -0.125089824256767\n", + "188. -0.167524717804663\n", + "189. -0.209651344469138\n", + "190. -0.251392185875103\n", + "191. -0.292670433541635\n", + "192. -0.333410130219395\n", + "193. -0.373536309661659\n", + "194. -0.412975134571807\n", + "195. -0.45165403247337\n", + "196. -0.489501829252658\n", + "197. -0.526448880128234\n", + "198. -0.562427197806194\n", + "199. -0.597370577585482\n", + "200. -0.631214719183006\n", + "201. ⋯\n", + "202. -0.981121386747115\n", + "203. -0.988512704384468\n", + "204. -0.994085032355116\n", + "205. -0.997828116863683\n", + "206. -0.999735070156461\n", + "207. -0.999802383195764\n", + "208. -0.998029932117\n", + "209. -0.994420978456598\n", + "210. -0.988982163150368\n", + "211. -0.981723494313325\n", + "212. -0.972658328823485\n", + "213. -0.9618033477435\n", + "214. -0.949178525625368\n", + "215. -0.934807093754715\n", + "216. -0.91871549740225\n", + "217. -0.900933347161089\n", + "218. -0.881493364459503\n", + "219. -0.860431321349273\n", + "220. -0.837785974680577\n", + "221. -0.813598994784412\n", + "222. -0.787914888793869\n", + "223. -0.760780918745329\n", + "224. -0.732247014610271\n", + "225. -0.702365682417749\n", + "226. -0.671191907636579\n", + "227. -0.63878305399506\n", + "228. -0.6051987579244\n", + "229. -0.570500818820022\n", + "230. -0.53475308532285\n", + "231. -0.498021337829574\n", + "232. -0.460373167448359\n", + "233. -0.421877851622581\n", + "234. -0.382606226651443\n", + "235. -0.342630557342169\n", + "236. -0.302024404033518\n", + "237. -0.260862487235333\n", + "238. -0.219220550133312\n", + "239. -0.177175219211807\n", + "240. -0.134803863251367\n", + "241. -0.0921844509602341\n", + "242. -0.0493954075020113\n", + "243. -0.00651547018332186\n", + "244. 0.036376456432917\n", + "245. 0.0792014457219203\n", + "246. 0.121880694232165\n", + "247. 0.164335666693761\n", + "248. 0.206488240533399\n", + "249. 0.248260849629889\n", + "250. 0.289576627045685\n", + "251. 0.330359546471918\n", + "252. 0.370534562126505\n", + "253. 0.410027746847923\n", + "254. 0.448766428130727\n", + "255. 0.486679321852158\n", + "256. 0.52369666344409\n", + "257. 0.559750336268729\n", + "258. 0.59477399696192\n", + "259. 0.628703197513424\n", + "260. 0.661475503859488\n", + "261. 0.693030610769508\n", + "262. 0.72331045281535\n", + "263. 0.75225931121914\n", + "264. 0.779823916382975\n", + "265. 0.805953545911729\n", + "266. 0.830600117948804\n", + "267. 0.853718279652852\n", + "268. 0.875265490652795\n", + "269. 0.895202101327567\n", + "270. 0.913491425766456\n", + "271. 0.93009980927588\n", + "272. 0.944996690308329\n", + "273. 0.9581546566995\n", + "274. 0.969549496110199\n", + "275. 0.979160240580121\n", + "276. 0.986969205111594\n", + "277. 0.992962020212218\n", + "278. 0.997127658336576\n", + "279. 0.999458454178327\n", + "280. 0.999950118775341\n", + "281. 0.998601747401947\n", + "282. 0.995415821233737\n", + "283. 0.990398202781889\n", + "284. 0.983558125105396\n", + "285. 0.974908174821061\n", + "286. 0.964464268942509\n", + "287. 0.952245625590845\n", + "288. 0.938274728630879\n", + "289. 0.922577286297907\n", + "290. 0.905182183891304\n", + "291. 0.886121430621864\n", + "292. 0.865430100710767\n", + "293. 0.843146268848539\n", + "294. 0.819310940132752\n", + "295. 0.793967974613405\n", + "296. 0.767164006584824\n", + "297. 0.738948358772602\n", + "298. 0.709372951573506\n", + "299. 0.678492207515269\n", + "300. 0.646362951112247\n", + "301. 0.61304430430099\n", + "302. 0.578597577648355\n", + "303. 0.543086157532248\n", + "304. 0.506575389502547\n", + "305. 0.469132458036984\n", + "306. 0.430826262913104\n", + "307. 0.391727292423855\n", + "308. 0.351907493670166\n", + "309. 0.311440140169036\n", + "310. 0.270399697020961\n", + "311. 0.228861683884571\n", + "312. 0.18690253601087\n", + "313. 0.144599463592577\n", + "314. 0.102030309687495\n", + "315. 0.0592734069773824\n", + "316. 0.0164074336257588\n", + "317. -0.026488731499921\n", + "318. -0.0693361539754803\n", + "319. -0.112055989069467\n", + "320. -0.154569626827484\n", + "321. -0.196798836724595\n", + "322. -0.238665911619469\n", + "323. -0.280093810745427\n", + "324. -0.321006301475322\n", + "325. -0.361328099599298\n", + "326. -0.400985007857371\n", + "327. -0.439904052471857\n", + "328. -0.478013617428429\n", + "329. -0.515243576258756\n", + "330. -0.551525421082152\n", + "331. -0.586792388668843\n", + "332. -0.62097958329283\n", + "333. -0.654024096148297\n", + "334. -0.685865121109897\n", + "335. -0.716444066623728\n", + "336. -0.745704663523343\n", + "337. -0.773593068572168\n", + "338. -0.800057963541931\n", + "339. -0.825050649644788\n", + "340. -0.848525137145285\n", + "341. -0.870438229987357\n", + "342. -0.890749605280604\n", + "343. -0.909421887499535\n", + "344. -0.926420717259334\n", + "345. -0.941714814541499\n", + "346. -0.955276036253088\n", + "347. -0.967079428013591\n", + "348. -0.977103270074187\n", + "349. -0.985329117284859\n", + "350. -0.991741833035817\n", + "351. -0.996329617110805\n", + "352. -0.999084027400996\n", + "353. -0.999999995439557\n", + "354. -0.999075835728275\n", + "355. -0.996313248839089\n", + "356. -0.991717318284818\n", + "357. -0.985296501164848\n", + "358. -0.977062612602993\n", + "359. -0.967030804006154\n", + "360. -0.955219535183797\n", + "361. -0.941650540379541\n", + "362. -0.926348788277374\n", + "363. -0.90934243605609\n", + "364. -0.890662777576479\n", + "365. -0.870344185796626\n", + "366. -0.848424049521271\n", + "367. -0.824942704601635\n", + "368. -0.799943359712312\n", + "369. -0.773472016841758\n", + "370. -0.745577386642805\n", + "371. -0.716310798798779\n", + "372. -0.685726107570356\n", + "373. -0.653879592696851\n", + "374. -0.620829855834276\n", + "375. -0.58663771272084\n", + "376. -0.551366081268205\n", + "377. -0.515079865784473\n", + "378. -0.477845837542009\n", + "379. -0.439732511909722\n", + "380. -0.400810022276078\n", + "381. -0.361149990994658\n", + "382. -0.320825397589923\n", + "383. -0.279910444465543\n", + "384. -0.238480420362475\n", + "385. -0.19661156181811\n", + "386. -0.154380912881246\n", + "387. -0.111866183341248\n", + "388. -0.0691456057320828\n", + "389. -0.0262977913744432\n", + "390. 0.0165984142790776\n", + "391. 0.0594640767297409\n", + "392. 0.102220317682203\n", + "393. 0.144788460190643\n", + "394. 0.187090173434413\n", + "395. 0.229047616856748\n", + "396. 0.270583583401346\n", + "397. 0.311621641583212\n", + "398. 0.352086276132335\n", + "399. 0.391903026951452\n", + "400. 0.430998626132134\n", + "401. 0.469301132777109\n", + "\n", + "\n" + ], + "text/plain": [ + " [1] 1.000000e+00 9.990799e-01 9.963214e-01 9.917296e-01 9.853128e-01\n", + " [6] 9.770829e-01 9.670551e-01 9.552478e-01 9.416827e-01 9.263848e-01\n", + " [11] 9.093822e-01 8.907062e-01 8.703912e-01 8.484746e-01 8.249967e-01\n", + " [16] 8.000007e-01 7.735325e-01 7.456410e-01 7.163774e-01 6.857956e-01\n", + " [21] 6.539518e-01 6.209047e-01 5.867151e-01 5.514458e-01 5.151617e-01\n", + " [26] 4.779297e-01 4.398183e-01 4.008975e-01 3.612390e-01 3.209159e-01\n", + " [31] 2.800021e-01 2.385732e-01 1.967052e-01 1.544753e-01 1.119611e-01\n", + " [36] 6.924088e-02 2.639326e-02 -1.650292e-02 -5.936874e-02 -1.021253e-01\n", + " [41] -1.446940e-01 -1.869964e-01 -2.289547e-01 -2.704916e-01 -3.115309e-01\n", + " [46] -3.519969e-01 -3.918152e-01 -4.309124e-01 -4.692168e-01 -5.066577e-01\n", + " [51] -5.431663e-01 -5.786755e-01 -6.131198e-01 -6.464358e-01 -6.785624e-01\n", + " [56] -7.094403e-01 -7.390127e-01 -7.672253e-01 -7.940260e-01 -8.193657e-01\n", + " [61] -8.431976e-01 -8.654779e-01 -8.861657e-01 -9.052228e-01 -9.226141e-01\n", + " [66] -9.383078e-01 -9.522748e-01 -9.644895e-01 -9.749294e-01 -9.835754e-01\n", + " [71] -9.904114e-01 -9.954250e-01 -9.986068e-01 -9.999511e-01 -9.994553e-01\n", + " [76] -9.971204e-01 -9.929507e-01 -9.869538e-01 -9.791408e-01 -9.695261e-01\n", + " [81] -9.581273e-01 -9.449654e-01 -9.300647e-01 -9.134526e-01 -8.951595e-01\n", + " [86] -8.752193e-01 -8.536685e-01 -8.305469e-01 -8.058970e-01 -7.797641e-01\n", + " [91] -7.521964e-01 -7.232445e-01 -6.929618e-01 -6.614039e-01 -6.286289e-01\n", + " [96] -5.946972e-01 -5.596712e-01 -5.236153e-01 -4.865959e-01 -4.486811e-01\n", + " [101] -4.099406e-01 -3.704459e-01 -3.302694e-01 -2.894852e-01 -2.481683e-01\n", + " [106] -2.063948e-01 -1.642415e-01 -1.217859e-01 -7.910624e-02 -3.628102e-02\n", + " [111] 6.610971e-03 4.949079e-02 9.227955e-02 1.348985e-01 1.772692e-01\n", + " [116] 2.193137e-01 2.609547e-01 3.021154e-01 3.427203e-01 3.826945e-01\n", + " [121] 4.219644e-01 4.604579e-01 4.981042e-01 5.348338e-01 5.705793e-01\n", + " [126] 6.052748e-01 6.388565e-01 6.712627e-01 7.024337e-01 7.323121e-01\n", + " [131] 7.608429e-01 7.879737e-01 8.136545e-01 8.378381e-01 8.604800e-01\n", + " [136] 8.815385e-01 9.009748e-01 9.187532e-01 9.348410e-01 9.492086e-01\n", + " [141] 9.618295e-01 9.726805e-01 9.817417e-01 9.889963e-01 9.944310e-01\n", + " [146] 9.980359e-01 9.998043e-01 9.997329e-01 9.978218e-01 9.940747e-01\n", + " [151] 9.884983e-01 9.811029e-01 9.719022e-01 9.609131e-01 9.481557e-01\n", + " [156] 9.336537e-01 9.174336e-01 8.995253e-01 8.799617e-01 8.587789e-01\n", + " [161] 8.360159e-01 8.117145e-01 7.859194e-01 7.586781e-01 7.300408e-01\n", + " [166] 7.000601e-01 6.687912e-01 6.362916e-01 6.026212e-01 5.678419e-01\n", + " [171] 5.320176e-01 4.952144e-01 4.575000e-01 4.189436e-01 3.796164e-01\n", + " [176] 3.395906e-01 2.989400e-01 2.577392e-01 2.160642e-01 1.739916e-01\n", + " [181] 1.315988e-01 8.896386e-02 4.616522e-02 3.281628e-03 -3.960800e-02\n", + " [186] -8.242475e-02 -1.250898e-01 -1.675247e-01 -2.096513e-01 -2.513922e-01\n", + " [191] -2.926704e-01 -3.334101e-01 -3.735363e-01 -4.129751e-01 -4.516540e-01\n", + " [196] -4.895018e-01 -5.264489e-01 -5.624272e-01 -5.973706e-01 -6.312147e-01\n", + " [201] -6.638973e-01 -6.953583e-01 -7.255397e-01 -7.543861e-01 -7.818442e-01\n", + " [206] -8.078637e-01 -8.323966e-01 -8.553978e-01 -8.768250e-01 -8.966386e-01\n", + " [211] -9.148024e-01 -9.312828e-01 -9.460495e-01 -9.590753e-01 -9.703364e-01\n", + " [216] -9.798119e-01 -9.874844e-01 -9.933398e-01 -9.973674e-01 -9.995596e-01\n", + " [221] -9.999126e-01 -9.984256e-01 -9.951013e-01 -9.899460e-01 -9.829690e-01\n", + " [226] -9.741832e-01 -9.636048e-01 -9.512532e-01 -9.371513e-01 -9.213248e-01\n", + " [231] -9.038030e-01 -8.846180e-01 -8.638053e-01 -8.414031e-01 -8.174525e-01\n", + " [236] -7.919978e-01 -7.650856e-01 -7.367656e-01 -7.070899e-01 -6.761130e-01\n", + " [241] -6.438920e-01 -6.104862e-01 -5.759570e-01 -5.403679e-01 -5.037845e-01\n", + " [246] -4.662741e-01 -4.279056e-01 -3.887498e-01 -3.488786e-01 -3.083655e-01\n", + " [251] -2.672849e-01 -2.257124e-01 -1.837247e-01 -1.413988e-01 -9.881278e-02\n", + " [256] -5.604491e-02 -1.317391e-02 2.972133e-02 7.256189e-02 1.152689e-01\n", + " [261] 1.577638e-01 1.999684e-01 2.418051e-01 2.831968e-01 3.240674e-01\n", + " [266] 3.643416e-01 4.039454e-01 4.428059e-01 4.808516e-01 5.180125e-01\n", + " [271] 5.542201e-01 5.894079e-01 6.235111e-01 6.564670e-01 6.882149e-01\n", + " [276] 7.186964e-01 7.478554e-01 7.756383e-01 8.019939e-01 8.268737e-01\n", + " [281] 8.502319e-01 8.720256e-01 8.922147e-01 9.107620e-01 9.276334e-01\n", + " [286] 9.427978e-01 9.562273e-01 9.678973e-01 9.777862e-01 9.858759e-01\n", + " [291] 9.921514e-01 9.966012e-01 9.992172e-01 9.999945e-01 9.989316e-01\n", + " [296] 9.960306e-01 9.912968e-01 9.847388e-01 9.763688e-01 9.662022e-01\n", + " [301] 9.542576e-01 9.405571e-01 9.251259e-01 9.079922e-01 8.891878e-01\n", + " [306] 8.687471e-01 8.467079e-01 8.231106e-01 7.979986e-01 7.714182e-01\n", + " [311] 7.434184e-01 7.140505e-01 6.833687e-01 6.514294e-01 6.182914e-01\n", + " [316] 5.840157e-01 5.486653e-01 5.123053e-01 4.750026e-01 4.368258e-01\n", + " [321] 3.978452e-01 3.581325e-01 3.177608e-01 2.768044e-01 2.353386e-01\n", + " [326] 1.934398e-01 1.511850e-01 1.086520e-01 6.591911e-02 2.306490e-02\n", + " [331] -1.983176e-02 -6.269192e-02 -1.054367e-01 -1.479875e-01 -1.902660e-01\n", + " [336] -2.321943e-01 -2.736954e-01 -3.146929e-01 -3.551112e-01 -3.948762e-01\n", + " [341] -4.339145e-01 -4.721543e-01 -5.095253e-01 -5.459588e-01 -5.813876e-01\n", + " [346] -6.157465e-01 -6.489724e-01 -6.810042e-01 -7.117828e-01 -7.412516e-01\n", + " [351] -7.693564e-01 -7.960455e-01 -8.212698e-01 -8.449828e-01 -8.671410e-01\n", + " [356] -8.877035e-01 -9.066325e-01 -9.238932e-01 -9.394539e-01 -9.532858e-01\n", + " [361] -9.653635e-01 -9.756649e-01 -9.841709e-01 -9.908659e-01 -9.957375e-01\n", + " [366] -9.987769e-01 -9.999785e-01 -9.993399e-01 -9.968624e-01 -9.925506e-01\n", + " [371] -9.864123e-01 -9.784589e-01 -9.687051e-01 -9.571687e-01 -9.438709e-01\n", + " [376] -9.288364e-01 -9.120926e-01 -8.936705e-01 -8.736039e-01 -8.519298e-01\n", + " [381] -8.286880e-01 -8.039214e-01 -7.776754e-01 -7.499984e-01 -7.209413e-01\n", + " [386] -6.905575e-01 -6.589031e-01 -6.260362e-01 -5.920173e-01 -5.569090e-01\n", + " [391] -5.207759e-01 -4.836846e-01 -4.457032e-01 -4.069016e-01 -3.673513e-01\n", + " [396] -3.271250e-01 -2.862968e-01 -2.449417e-01 -2.031360e-01 -1.609564e-01\n", + " [401] -1.184806e-01 -7.578686e-02 -3.295363e-02 9.940242e-03 5.281582e-02\n", + " [406] 9.559421e-02 1.381967e-01 1.805449e-01 2.225608e-01 2.641673e-01\n", + " [411] 3.052876e-01 3.458461e-01 3.857683e-01 4.249806e-01 4.634108e-01\n", + " [416] 5.009884e-01 5.376440e-01 5.733103e-01 6.079217e-01 6.414144e-01\n", + " [421] 6.737268e-01 7.047995e-01 7.345752e-01 7.629992e-01 7.900193e-01\n", + " [426] 8.155855e-01 8.396510e-01 8.621715e-01 8.831054e-01 9.024143e-01\n", + " [431] 9.200627e-01 9.360180e-01 9.502509e-01 9.627352e-01 9.734480e-01\n", + " [436] 9.823695e-01 9.894834e-01 9.947764e-01 9.982390e-01 9.998646e-01\n", + " [441] 9.996504e-01 9.975967e-01 9.937072e-01 9.879893e-01 9.804533e-01\n", + " [446] 9.711131e-01 9.599860e-01 9.470924e-01 9.324560e-01 9.161038e-01\n", + " [451] 8.980658e-01 8.783752e-01 8.570684e-01 8.341844e-01 8.097654e-01\n", + " [456] 7.838564e-01 7.565049e-01 7.277614e-01 6.976787e-01 6.663122e-01\n", + " [461] 6.337196e-01 5.999609e-01 5.650982e-01 5.291956e-01 4.923192e-01\n", + " [466] 4.545369e-01 4.159182e-01 3.765342e-01 3.364572e-01 2.957612e-01\n", + " [471] 2.545209e-01 2.128123e-01 1.707120e-01 1.282976e-01 8.564719e-02\n", + " [476] 4.283913e-02 -4.775167e-05 -4.293455e-02 -8.574234e-02 -1.283924e-01\n", + " [481] -1.708061e-01 -2.129056e-01 -2.546133e-01 -2.958524e-01 -3.365472e-01\n", + " [486] -3.766226e-01 -4.160051e-01 -4.546220e-01 -4.924023e-01 -5.292766e-01\n", + " [491] -5.651770e-01 -6.000373e-01 -6.337935e-01 -6.663835e-01 -6.977472e-01\n", + " [496] -7.278269e-01 -7.565674e-01 -7.839157e-01 -8.098215e-01 -8.342371e-01\n", + " [501] -8.571176e-01 -8.784209e-01 -8.981078e-01 -9.161420e-01 -9.324905e-01\n", + " [506] -9.471230e-01 -9.600127e-01 -9.711359e-01 -9.804721e-01 -9.880040e-01\n", + " [511] -9.937179e-01 -9.976033e-01 -9.996529e-01 -9.998630e-01 -9.982333e-01\n", + " [516] -9.947667e-01 -9.894695e-01 -9.823517e-01 -9.734262e-01 -9.627094e-01\n", + " [521] -9.502211e-01 -9.359844e-01 -9.200252e-01 -9.023732e-01 -8.830606e-01\n", + " [526] -8.621231e-01 -8.395992e-01 -8.155303e-01 -7.899607e-01 -7.629375e-01\n", + " [531] -7.345104e-01 -7.047317e-01 -6.736562e-01 -6.413411e-01 -6.078458e-01\n", + " [536] -5.732321e-01 -5.375635e-01 -5.009057e-01 -4.633262e-01 -4.248941e-01\n", + " [541] -3.856802e-01 -3.457565e-01 -3.051966e-01 -2.640751e-01 -2.224677e-01\n", + " [546] -1.804509e-01 -1.381021e-01 -9.549914e-02 -5.272045e-02 -9.844743e-03\n", + " [551] 3.304908e-02 7.588209e-02 1.185755e-01 1.610506e-01 2.032295e-01\n", + " [556] 2.450343e-01 2.863883e-01 3.272153e-01 3.674401e-01 4.069888e-01\n", + " [561] 4.457886e-01 4.837681e-01 5.208574e-01 5.569883e-01 5.920942e-01\n", + " [566] 6.261106e-01 6.589749e-01 6.906266e-01 7.210074e-01 7.500615e-01\n", + " [571] 7.777354e-01 8.039782e-01 8.287415e-01 8.519798e-01 8.736504e-01\n", + " [576] 8.937134e-01 9.121318e-01 9.288718e-01 9.439025e-01 9.571963e-01\n", + " [581] 9.687288e-01 9.784787e-01 9.864280e-01 9.925622e-01 9.968700e-01\n", + " [586] 9.993434e-01 9.999778e-01 9.987722e-01 9.957287e-01 9.908530e-01\n", + " [591] 9.841539e-01 9.756439e-01 9.653386e-01 9.532569e-01 9.394211e-01\n", + " [596] 9.238567e-01 9.065922e-01 8.876595e-01 8.670934e-01 8.449318e-01\n", + " [601] 8.212153e-01 7.959877e-01 7.692954e-01 7.411875e-01 7.117157e-01\n", + " [606] 6.809342e-01 6.488998e-01 6.156713e-01 5.813099e-01 5.458788e-01\n", + " [611] 5.094432e-01 4.720701e-01 4.338284e-01 3.947884e-01 3.550220e-01\n", + " [616] 3.146022e-01 2.736036e-01 2.321014e-01 1.901722e-01 1.478931e-01\n", + " [621] 1.053417e-01 6.259660e-02 1.973627e-02 -2.316037e-02 -6.601440e-02\n", + " [626] -1.087470e-01 -1.512794e-01 -1.935335e-01 -2.354314e-01 -2.768961e-01\n", + " [631] -3.178513e-01 -3.582217e-01 -3.979328e-01 -4.369117e-01 -4.750866e-01\n", + " [636] -5.123873e-01 -5.487451e-01 -5.840932e-01 -6.183665e-01 -6.515019e-01\n", + " [641] -6.834384e-01 -7.141174e-01 -7.434822e-01 -7.714790e-01 -7.980562e-01\n", + " [646] -8.231648e-01 -8.467587e-01 -8.687944e-01 -8.892315e-01 -9.080322e-01\n", + " [651] -9.251621e-01 -9.405896e-01 -9.542862e-01 -9.662268e-01 -9.763895e-01\n", + " [656] -9.847554e-01 -9.913093e-01 -9.960391e-01 -9.989360e-01 -9.999948e-01\n", + " [661] -9.992134e-01 -9.965934e-01 -9.921394e-01 -9.858599e-01 -9.777662e-01\n", + " [666] -9.678733e-01 -9.561994e-01 -9.427660e-01 -9.275977e-01 -9.107226e-01\n", + " [671] -8.921716e-01 -8.719789e-01 -8.501816e-01 -8.268200e-01 -8.019368e-01\n", + " [676] -7.755780e-01 -7.477920e-01 -7.186300e-01 -6.881456e-01 -6.563950e-01\n", + " [681] -6.234365e-01 -5.893308e-01 -5.541406e-01 -5.179308e-01 -4.807679e-01\n", + " [686] -4.427203e-01 -4.038580e-01 -3.642527e-01 -3.239770e-01 -2.831052e-01\n", + " [691] -2.417124e-01 -1.998749e-01 -1.576695e-01 -1.151740e-01 -7.246663e-02\n", + " [696] -2.962587e-02 1.326940e-02 5.614026e-02 9.890781e-02 1.414934e-01\n", + " [701] 1.838185e-01 2.258055e-01 2.673769e-01 3.084563e-01 3.489681e-01\n", + " [706] 3.888378e-01 4.279920e-01 4.663586e-01 5.038670e-01 5.404483e-01\n", + " [711] 5.760350e-01 6.105618e-01 6.439651e-01 6.761834e-01 7.071574e-01\n", + " [716] 7.368302e-01 7.651471e-01 7.920561e-01 8.175075e-01 8.414547e-01\n", + " [721] 8.638534e-01 8.846626e-01 9.038438e-01 9.213619e-01 9.371846e-01\n", + " [726] 9.512827e-01 9.636303e-01 9.742047e-01 9.829865e-01 9.899595e-01\n", + " [731] 9.951108e-01 9.984309e-01 9.999138e-01 9.995568e-01 9.973604e-01\n", + " [736] 9.933288e-01 9.874693e-01 9.797928e-01 9.703133e-01 9.590483e-01\n", + " [741] 9.460185e-01 9.312480e-01 9.147638e-01 8.965963e-01 8.767790e-01\n", + " [746] 8.553483e-01 8.323437e-01 8.078074e-01 7.817847e-01 7.543234e-01\n", + " [751] 7.254740e-01 6.952897e-01 6.638259e-01 6.311406e-01 5.972940e-01\n", + " [756] 5.623482e-01 5.263677e-01 4.894185e-01 4.515688e-01 4.128882e-01\n", + " [761] 3.734477e-01 3.333201e-01 2.925791e-01 2.512997e-01 2.095580e-01\n", + " [766] 1.674306e-01 1.249951e-01 8.232957e-02 3.951257e-02 -3.377131e-03\n", + " [771] -4.626062e-02 -8.905899e-02 -1.316935e-01 -1.740856e-01 -2.161574e-01\n", + " [776] -2.578315e-01 -2.990311e-01 -3.396805e-01 -3.797048e-01 -4.190304e-01\n", + " [781] -4.575849e-01 -4.952974e-01 -5.320985e-01 -5.679205e-01 -6.026974e-01\n", + " [786] -6.363653e-01 -6.688622e-01 -7.001283e-01 -7.301061e-01 -7.587403e-01\n", + " [791] -7.859784e-01 -8.117703e-01 -8.360683e-01 -8.588279e-01 -8.800071e-01\n", + " [796] -8.995670e-01 -9.174716e-01 -9.336879e-01 -9.481861e-01 -9.609395e-01\n", + " [801] -9.719247e-01 -9.811214e-01 -9.885127e-01 -9.940850e-01 -9.978281e-01\n", + " [806] -9.997351e-01 -9.998024e-01 -9.980299e-01 -9.944210e-01 -9.889822e-01\n", + " [811] -9.817235e-01 -9.726583e-01 -9.618033e-01 -9.491785e-01 -9.348071e-01\n", + " [816] -9.187155e-01 -9.009333e-01 -8.814934e-01 -8.604313e-01 -8.377860e-01\n", + " [821] -8.135990e-01 -7.879149e-01 -7.607809e-01 -7.322470e-01 -7.023657e-01\n", + " [826] -6.711919e-01 -6.387831e-01 -6.051988e-01 -5.705008e-01 -5.347531e-01\n", + " [831] -4.980213e-01 -4.603732e-01 -4.218779e-01 -3.826062e-01 -3.426306e-01\n", + " [836] -3.020244e-01 -2.608625e-01 -2.192206e-01 -1.771752e-01 -1.348039e-01\n", + " [841] -9.218445e-02 -4.939541e-02 -6.515470e-03 3.637646e-02 7.920145e-02\n", + " [846] 1.218807e-01 1.643357e-01 2.064882e-01 2.482608e-01 2.895766e-01\n", + " [851] 3.303595e-01 3.705346e-01 4.100277e-01 4.487664e-01 4.866793e-01\n", + " [856] 5.236967e-01 5.597503e-01 5.947740e-01 6.287032e-01 6.614755e-01\n", + " [861] 6.930306e-01 7.233105e-01 7.522593e-01 7.798239e-01 8.059535e-01\n", + " [866] 8.306001e-01 8.537183e-01 8.752655e-01 8.952021e-01 9.134914e-01\n", + " [871] 9.300998e-01 9.449967e-01 9.581547e-01 9.695495e-01 9.791602e-01\n", + " [876] 9.869692e-01 9.929620e-01 9.971277e-01 9.994585e-01 9.999501e-01\n", + " [881] 9.986017e-01 9.954158e-01 9.903982e-01 9.835581e-01 9.749082e-01\n", + " [886] 9.644643e-01 9.522456e-01 9.382747e-01 9.225773e-01 9.051822e-01\n", + " [891] 8.861214e-01 8.654301e-01 8.431463e-01 8.193109e-01 7.939680e-01\n", + " [896] 7.671640e-01 7.389484e-01 7.093730e-01 6.784922e-01 6.463630e-01\n", + " [901] 6.130443e-01 5.785976e-01 5.430862e-01 5.065754e-01 4.691325e-01\n", + " [906] 4.308263e-01 3.917273e-01 3.519075e-01 3.114401e-01 2.703997e-01\n", + " [911] 2.288617e-01 1.869025e-01 1.445995e-01 1.020303e-01 5.927341e-02\n", + " [916] 1.640743e-02 -2.648873e-02 -6.933615e-02 -1.120560e-01 -1.545696e-01\n", + " [921] -1.967988e-01 -2.386659e-01 -2.800938e-01 -3.210063e-01 -3.613281e-01\n", + " [926] -4.009850e-01 -4.399041e-01 -4.780136e-01 -5.152436e-01 -5.515254e-01\n", + " [931] -5.867924e-01 -6.209796e-01 -6.540241e-01 -6.858651e-01 -7.164441e-01\n", + " [936] -7.457047e-01 -7.735931e-01 -8.000580e-01 -8.250506e-01 -8.485251e-01\n", + " [941] -8.704382e-01 -8.907496e-01 -9.094219e-01 -9.264207e-01 -9.417148e-01\n", + " [946] -9.552760e-01 -9.670794e-01 -9.771033e-01 -9.853291e-01 -9.917418e-01\n", + " [951] -9.963296e-01 -9.990840e-01 -1.000000e+00 -9.990758e-01 -9.963132e-01\n", + " [956] -9.917173e-01 -9.852965e-01 -9.770626e-01 -9.670308e-01 -9.552195e-01\n", + " [961] -9.416505e-01 -9.263488e-01 -9.093424e-01 -8.906628e-01 -8.703442e-01\n", + " [966] -8.484240e-01 -8.249427e-01 -7.999434e-01 -7.734720e-01 -7.455774e-01\n", + " [971] -7.163108e-01 -6.857261e-01 -6.538796e-01 -6.208299e-01 -5.866377e-01\n", + " [976] -5.513661e-01 -5.150799e-01 -4.778458e-01 -4.397325e-01 -4.008100e-01\n", + " [981] -3.611500e-01 -3.208254e-01 -2.799104e-01 -2.384804e-01 -1.966116e-01\n", + " [986] -1.543809e-01 -1.118662e-01 -6.914561e-02 -2.629779e-02 1.659841e-02\n", + " [991] 5.946408e-02 1.022203e-01 1.447885e-01 1.870902e-01 2.290476e-01\n", + " [996] 2.705836e-01 3.116216e-01 3.520863e-01 3.919030e-01 4.309986e-01\n", + "[1001] 4.693011e-01" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "cos(omega1*times)" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "579c47bd-3334-4836-bd1d-f232c572b20a", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " [1] 0.000000e+00 1.969972e-05 7.879812e-05 1.772929e-04 3.151801e-04\n", + " [6] 4.924543e-04 7.091086e-04 9.651344e-04 1.260522e-03 1.595259e-03\n", + " [11] 1.969332e-03 2.382728e-03 2.835429e-03 3.327418e-03 3.858675e-03\n", + " [16] 4.429179e-03 5.038909e-03 5.687839e-03 6.375945e-03 7.103199e-03\n", + " [21] 7.869572e-03 8.675035e-03 9.519556e-03 1.040310e-02 1.132564e-02\n", + " [26] 1.228712e-02 1.328753e-02 1.432681e-02 1.540492e-02 1.652183e-02\n", + " [31] 1.767748e-02 1.887184e-02 2.010485e-02 2.137647e-02 2.268665e-02\n", + " [36] 2.403534e-02 2.542247e-02 2.684801e-02 2.831188e-02 2.981404e-02\n", + " [41] 3.135443e-02 3.293298e-02 3.454963e-02 3.620432e-02 3.789698e-02\n", + " [46] 3.962755e-02 4.139596e-02 4.320213e-02 4.504600e-02 4.692750e-02\n", + " [51] 4.884655e-02 5.080307e-02 5.279699e-02 5.482823e-02 5.689671e-02\n", + " [56] 5.900234e-02 6.114506e-02 6.332476e-02 6.554136e-02 6.779479e-02\n", + " [61] 7.008494e-02 7.241173e-02 7.477507e-02 7.717485e-02 7.961100e-02\n", + " [66] 8.208341e-02 8.459199e-02 8.713663e-02 8.971724e-02 9.233372e-02\n", + " [71] 9.498595e-02 9.767385e-02 1.003973e-01 1.031562e-01 1.059504e-01\n", + " [76] 1.087799e-01 1.116444e-01 1.145440e-01 1.174784e-01 1.204476e-01\n", + " [81] 1.234515e-01 1.264899e-01 1.295628e-01 1.326699e-01 1.358112e-01\n", + " [86] 1.389865e-01 1.421958e-01 1.454388e-01 1.487156e-01 1.520258e-01\n", + " [91] 1.553695e-01 1.587465e-01 1.621566e-01 1.655997e-01 1.690757e-01\n", + " [96] 1.725844e-01 1.761257e-01 1.796995e-01 1.833056e-01 1.869439e-01\n", + " [101] 1.906142e-01 1.943164e-01 1.980504e-01 2.018159e-01 2.056129e-01\n", + " [106] 2.094412e-01 2.133006e-01 2.171911e-01 2.211124e-01 2.250643e-01\n", + " [111] 2.290468e-01 2.330597e-01 2.371028e-01 2.411759e-01 2.452790e-01\n", + " [116] 2.494118e-01 2.535741e-01 2.577659e-01 2.619869e-01 2.662370e-01\n", + " [121] 2.705160e-01 2.748237e-01 2.791600e-01 2.835247e-01 2.879176e-01\n", + " [126] 2.923386e-01 2.967875e-01 3.012641e-01 3.057682e-01 3.102997e-01\n", + " [131] 3.148583e-01 3.194439e-01 3.240564e-01 3.286954e-01 3.333610e-01\n", + " [136] 3.380527e-01 3.427706e-01 3.475144e-01 3.522838e-01 3.570788e-01\n", + " [141] 3.618992e-01 3.667446e-01 3.716150e-01 3.765102e-01 3.814299e-01\n", + " [146] 3.863740e-01 3.913423e-01 3.963346e-01 4.013506e-01 4.063903e-01\n", + " [151] 4.114533e-01 4.165395e-01 4.216487e-01 4.267807e-01 4.319353e-01\n", + " [156] 4.371122e-01 4.423113e-01 4.475324e-01 4.527753e-01 4.580397e-01\n", + " [161] 4.633255e-01 4.686324e-01 4.739603e-01 4.793089e-01 4.846780e-01\n", + " [166] 4.900674e-01 4.954769e-01 5.009063e-01 5.063553e-01 5.118238e-01\n", + " [171] 5.173115e-01 5.228183e-01 5.283438e-01 5.338879e-01 5.394504e-01\n", + " [176] 5.450310e-01 5.506296e-01 5.562459e-01 5.618796e-01 5.675306e-01\n", + " [181] 5.731987e-01 5.788835e-01 5.845850e-01 5.903028e-01 5.960368e-01\n", + " [186] 6.017867e-01 6.075522e-01 6.133333e-01 6.191295e-01 6.249408e-01\n", + " [191] 6.307668e-01 6.366074e-01 6.424624e-01 6.483314e-01 6.542142e-01\n", + " [196] 6.601107e-01 6.660206e-01 6.719436e-01 6.778796e-01 6.838282e-01\n", + " [201] 6.897893e-01 6.957626e-01 7.017480e-01 7.077450e-01 7.137536e-01\n", + " [206] 7.197735e-01 7.258043e-01 7.318461e-01 7.378983e-01 7.439609e-01\n", + " [211] 7.500336e-01 7.561161e-01 7.622083e-01 7.683098e-01 7.744204e-01\n", + " [216] 7.805399e-01 7.866681e-01 7.928047e-01 7.989494e-01 8.051021e-01\n", + " [221] 8.112624e-01 8.174302e-01 8.236051e-01 8.297871e-01 8.359757e-01\n", + " [226] 8.421708e-01 8.483721e-01 8.545794e-01 8.607924e-01 8.670109e-01\n", + " [231] 8.732346e-01 8.794633e-01 8.856968e-01 8.919348e-01 8.981770e-01\n", + " [236] 9.044233e-01 9.106733e-01 9.169268e-01 9.231836e-01 9.294435e-01\n", + " [241] 9.357061e-01 9.419712e-01 9.482386e-01 9.545081e-01 9.607794e-01\n", + " [246] 9.670522e-01 9.733263e-01 9.796015e-01 9.858774e-01 9.921539e-01\n", + " [251] 9.984308e-01 1.004708e+00 1.010984e+00 1.017261e+00 1.023536e+00\n", + " [256] 1.029811e+00 1.036084e+00 1.042356e+00 1.048627e+00 1.054895e+00\n", + " [261] 1.061162e+00 1.067426e+00 1.073687e+00 1.079945e+00 1.086200e+00\n", + " [266] 1.092452e+00 1.098700e+00 1.104945e+00 1.111185e+00 1.117421e+00\n", + " [271] 1.123652e+00 1.129878e+00 1.136099e+00 1.142315e+00 1.148525e+00\n", + " [276] 1.154729e+00 1.160928e+00 1.167119e+00 1.173305e+00 1.179483e+00\n", + " [281] 1.185655e+00 1.191819e+00 1.197975e+00 1.204124e+00 1.210265e+00\n", + " [286] 1.216397e+00 1.222521e+00 1.228636e+00 1.234742e+00 1.240839e+00\n", + " [291] 1.246926e+00 1.253004e+00 1.259072e+00 1.265129e+00 1.271176e+00\n", + " [296] 1.277212e+00 1.283238e+00 1.289252e+00 1.295255e+00 1.301246e+00\n", + " [301] 1.307226e+00 1.313193e+00 1.319148e+00 1.325090e+00 1.331020e+00\n", + " [306] 1.336936e+00 1.342839e+00 1.348729e+00 1.354605e+00 1.360467e+00\n", + " [311] 1.366315e+00 1.372148e+00 1.377967e+00 1.383770e+00 1.389559e+00\n", + " [316] 1.395333e+00 1.401090e+00 1.406832e+00 1.412558e+00 1.418268e+00\n", + " [321] 1.423961e+00 1.429637e+00 1.435297e+00 1.440939e+00 1.446564e+00\n", + " [326] 1.452172e+00 1.457762e+00 1.463333e+00 1.468886e+00 1.474421e+00\n", + " [331] 1.479937e+00 1.485435e+00 1.490913e+00 1.496372e+00 1.501811e+00\n", + " [336] 1.507230e+00 1.512630e+00 1.518009e+00 1.523368e+00 1.528706e+00\n", + " [341] 1.534024e+00 1.539320e+00 1.544595e+00 1.549849e+00 1.555081e+00\n", + " [346] 1.560291e+00 1.565479e+00 1.570645e+00 1.575788e+00 1.580909e+00\n", + " [351] 1.586006e+00 1.591081e+00 1.596132e+00 1.601160e+00 1.606165e+00\n", + " [356] 1.611145e+00 1.616101e+00 1.621033e+00 1.625940e+00 1.630823e+00\n", + " [361] 1.635681e+00 1.640514e+00 1.645322e+00 1.650104e+00 1.654861e+00\n", + " [366] 1.659592e+00 1.664296e+00 1.668975e+00 1.673627e+00 1.678253e+00\n", + " [371] 1.682852e+00 1.687424e+00 1.691969e+00 1.696487e+00 1.700978e+00\n", + " [376] 1.705440e+00 1.709875e+00 1.714282e+00 1.718661e+00 1.723012e+00\n", + " [381] 1.727334e+00 1.731627e+00 1.735892e+00 1.740127e+00 1.744334e+00\n", + " [386] 1.748511e+00 1.752658e+00 1.756776e+00 1.760864e+00 1.764923e+00\n", + " [391] 1.768951e+00 1.772948e+00 1.776915e+00 1.780852e+00 1.784758e+00\n", + " [396] 1.788633e+00 1.792477e+00 1.796290e+00 1.800071e+00 1.803821e+00\n", + " [401] 1.807539e+00 1.811225e+00 1.814879e+00 1.818501e+00 1.822091e+00\n", + " [406] 1.825649e+00 1.829174e+00 1.832666e+00 1.836126e+00 1.839553e+00\n", + " [411] 1.842946e+00 1.846306e+00 1.849633e+00 1.852927e+00 1.856187e+00\n", + " [416] 1.859413e+00 1.862605e+00 1.865764e+00 1.868888e+00 1.871978e+00\n", + " [421] 1.875034e+00 1.878055e+00 1.881041e+00 1.883993e+00 1.886910e+00\n", + " [426] 1.889792e+00 1.892639e+00 1.895451e+00 1.898228e+00 1.900969e+00\n", + " [431] 1.903675e+00 1.906345e+00 1.908979e+00 1.911578e+00 1.914140e+00\n", + " [436] 1.916667e+00 1.919157e+00 1.921612e+00 1.924030e+00 1.926411e+00\n", + " [441] 1.928756e+00 1.931065e+00 1.933337e+00 1.935572e+00 1.937770e+00\n", + " [446] 1.939931e+00 1.942055e+00 1.944142e+00 1.946192e+00 1.948205e+00\n", + " [451] 1.950180e+00 1.952118e+00 1.954018e+00 1.955881e+00 1.957706e+00\n", + " [456] 1.959493e+00 1.961242e+00 1.962954e+00 1.964628e+00 1.966263e+00\n", + " [461] 1.967861e+00 1.969421e+00 1.970942e+00 1.972425e+00 1.973870e+00\n", + " [466] 1.975276e+00 1.976644e+00 1.977973e+00 1.979264e+00 1.980516e+00\n", + " [471] 1.981730e+00 1.982905e+00 1.984041e+00 1.985139e+00 1.986198e+00\n", + " [476] 1.987218e+00 1.988198e+00 1.989141e+00 1.990044e+00 1.990908e+00\n", + " [481] 1.991733e+00 1.992519e+00 1.993265e+00 1.993973e+00 1.994642e+00\n", + " [486] 1.995271e+00 1.995861e+00 1.996412e+00 1.996923e+00 1.997396e+00\n", + " [491] 1.997829e+00 1.998223e+00 1.998577e+00 1.998892e+00 1.999168e+00\n", + " [496] 1.999404e+00 1.999601e+00 1.999759e+00 1.999877e+00 1.999956e+00\n", + " [501] 1.999995e+00 1.999995e+00 1.999956e+00 1.999877e+00 1.999759e+00\n", + " [506] 1.999601e+00 1.999404e+00 1.999168e+00 1.998892e+00 1.998577e+00\n", + " [511] 1.998223e+00 1.997829e+00 1.997396e+00 1.996923e+00 1.996412e+00\n", + " [516] 1.995861e+00 1.995271e+00 1.994642e+00 1.993973e+00 1.993265e+00\n", + " [521] 1.992519e+00 1.991733e+00 1.990908e+00 1.990044e+00 1.989141e+00\n", + " [526] 1.988198e+00 1.987218e+00 1.986198e+00 1.985139e+00 1.984041e+00\n", + " [531] 1.982905e+00 1.981730e+00 1.980516e+00 1.979264e+00 1.977973e+00\n", + " [536] 1.976644e+00 1.975276e+00 1.973870e+00 1.972425e+00 1.970942e+00\n", + " [541] 1.969421e+00 1.967861e+00 1.966263e+00 1.964628e+00 1.962954e+00\n", + " [546] 1.961242e+00 1.959493e+00 1.957706e+00 1.955881e+00 1.954018e+00\n", + " [551] 1.952118e+00 1.950180e+00 1.948205e+00 1.946192e+00 1.944142e+00\n", + " [556] 1.942055e+00 1.939931e+00 1.937770e+00 1.935572e+00 1.933337e+00\n", + " [561] 1.931065e+00 1.928756e+00 1.926411e+00 1.924030e+00 1.921612e+00\n", + " [566] 1.919157e+00 1.916667e+00 1.914140e+00 1.911578e+00 1.908979e+00\n", + " [571] 1.906345e+00 1.903675e+00 1.900969e+00 1.898228e+00 1.895451e+00\n", + " [576] 1.892639e+00 1.889792e+00 1.886910e+00 1.883993e+00 1.881041e+00\n", + " [581] 1.878055e+00 1.875034e+00 1.871978e+00 1.868888e+00 1.865764e+00\n", + " [586] 1.862605e+00 1.859413e+00 1.856187e+00 1.852927e+00 1.849633e+00\n", + " [591] 1.846306e+00 1.842946e+00 1.839553e+00 1.836126e+00 1.832666e+00\n", + " [596] 1.829174e+00 1.825649e+00 1.822091e+00 1.818501e+00 1.814879e+00\n", + " [601] 1.811225e+00 1.807539e+00 1.803821e+00 1.800071e+00 1.796290e+00\n", + " [606] 1.792477e+00 1.788633e+00 1.784758e+00 1.780852e+00 1.776915e+00\n", + " [611] 1.772948e+00 1.768951e+00 1.764923e+00 1.760864e+00 1.756776e+00\n", + " [616] 1.752658e+00 1.748511e+00 1.744334e+00 1.740127e+00 1.735892e+00\n", + " [621] 1.731627e+00 1.727334e+00 1.723012e+00 1.718661e+00 1.714282e+00\n", + " [626] 1.709875e+00 1.705440e+00 1.700978e+00 1.696487e+00 1.691969e+00\n", + " [631] 1.687424e+00 1.682852e+00 1.678253e+00 1.673627e+00 1.668975e+00\n", + " [636] 1.664296e+00 1.659592e+00 1.654861e+00 1.650104e+00 1.645322e+00\n", + " [641] 1.640514e+00 1.635681e+00 1.630823e+00 1.625940e+00 1.621033e+00\n", + " [646] 1.616101e+00 1.611145e+00 1.606165e+00 1.601160e+00 1.596132e+00\n", + " [651] 1.591081e+00 1.586006e+00 1.580909e+00 1.575788e+00 1.570645e+00\n", + " [656] 1.565479e+00 1.560291e+00 1.555081e+00 1.549849e+00 1.544595e+00\n", + " [661] 1.539320e+00 1.534024e+00 1.528706e+00 1.523368e+00 1.518009e+00\n", + " [666] 1.512630e+00 1.507230e+00 1.501811e+00 1.496372e+00 1.490913e+00\n", + " [671] 1.485435e+00 1.479937e+00 1.474421e+00 1.468886e+00 1.463333e+00\n", + " [676] 1.457762e+00 1.452172e+00 1.446564e+00 1.440939e+00 1.435297e+00\n", + " [681] 1.429637e+00 1.423961e+00 1.418268e+00 1.412558e+00 1.406832e+00\n", + " [686] 1.401090e+00 1.395333e+00 1.389559e+00 1.383770e+00 1.377967e+00\n", + " [691] 1.372148e+00 1.366315e+00 1.360467e+00 1.354605e+00 1.348729e+00\n", + " [696] 1.342839e+00 1.336936e+00 1.331020e+00 1.325090e+00 1.319148e+00\n", + " [701] 1.313193e+00 1.307226e+00 1.301246e+00 1.295255e+00 1.289252e+00\n", + " [706] 1.283238e+00 1.277212e+00 1.271176e+00 1.265129e+00 1.259072e+00\n", + " [711] 1.253004e+00 1.246926e+00 1.240839e+00 1.234742e+00 1.228636e+00\n", + " [716] 1.222521e+00 1.216397e+00 1.210265e+00 1.204124e+00 1.197975e+00\n", + " [721] 1.191819e+00 1.185655e+00 1.179483e+00 1.173305e+00 1.167119e+00\n", + " [726] 1.160928e+00 1.154729e+00 1.148525e+00 1.142315e+00 1.136099e+00\n", + " [731] 1.129878e+00 1.123652e+00 1.117421e+00 1.111185e+00 1.104945e+00\n", + " [736] 1.098700e+00 1.092452e+00 1.086200e+00 1.079945e+00 1.073687e+00\n", + " [741] 1.067426e+00 1.061162e+00 1.054895e+00 1.048627e+00 1.042356e+00\n", + " [746] 1.036084e+00 1.029811e+00 1.023536e+00 1.017261e+00 1.010984e+00\n", + " [751] 1.004708e+00 9.984308e-01 9.921539e-01 9.858774e-01 9.796015e-01\n", + " [756] 9.733263e-01 9.670522e-01 9.607794e-01 9.545081e-01 9.482386e-01\n", + " [761] 9.419712e-01 9.357061e-01 9.294435e-01 9.231836e-01 9.169268e-01\n", + " [766] 9.106733e-01 9.044233e-01 8.981770e-01 8.919348e-01 8.856968e-01\n", + " [771] 8.794633e-01 8.732346e-01 8.670109e-01 8.607924e-01 8.545794e-01\n", + " [776] 8.483721e-01 8.421708e-01 8.359757e-01 8.297871e-01 8.236051e-01\n", + " [781] 8.174302e-01 8.112624e-01 8.051021e-01 7.989494e-01 7.928047e-01\n", + " [786] 7.866681e-01 7.805399e-01 7.744204e-01 7.683098e-01 7.622083e-01\n", + " [791] 7.561161e-01 7.500336e-01 7.439609e-01 7.378983e-01 7.318461e-01\n", + " [796] 7.258043e-01 7.197735e-01 7.137536e-01 7.077450e-01 7.017480e-01\n", + " [801] 6.957626e-01 6.897893e-01 6.838282e-01 6.778796e-01 6.719436e-01\n", + " [806] 6.660206e-01 6.601107e-01 6.542142e-01 6.483314e-01 6.424624e-01\n", + " [811] 6.366074e-01 6.307668e-01 6.249408e-01 6.191295e-01 6.133333e-01\n", + " [816] 6.075522e-01 6.017867e-01 5.960368e-01 5.903028e-01 5.845850e-01\n", + " [821] 5.788835e-01 5.731987e-01 5.675306e-01 5.618796e-01 5.562459e-01\n", + " [826] 5.506296e-01 5.450310e-01 5.394504e-01 5.338879e-01 5.283438e-01\n", + " [831] 5.228183e-01 5.173115e-01 5.118238e-01 5.063553e-01 5.009063e-01\n", + " [836] 4.954769e-01 4.900674e-01 4.846780e-01 4.793089e-01 4.739603e-01\n", + " [841] 4.686324e-01 4.633255e-01 4.580397e-01 4.527753e-01 4.475324e-01\n", + " [846] 4.423113e-01 4.371122e-01 4.319353e-01 4.267807e-01 4.216487e-01\n", + " [851] 4.165395e-01 4.114533e-01 4.063903e-01 4.013506e-01 3.963346e-01\n", + " [856] 3.913423e-01 3.863740e-01 3.814299e-01 3.765102e-01 3.716150e-01\n", + " [861] 3.667446e-01 3.618992e-01 3.570788e-01 3.522838e-01 3.475144e-01\n", + " [866] 3.427706e-01 3.380527e-01 3.333610e-01 3.286954e-01 3.240564e-01\n", + " [871] 3.194439e-01 3.148583e-01 3.102997e-01 3.057682e-01 3.012641e-01\n", + " [876] 2.967875e-01 2.923386e-01 2.879176e-01 2.835247e-01 2.791600e-01\n", + " [881] 2.748237e-01 2.705160e-01 2.662370e-01 2.619869e-01 2.577659e-01\n", + " [886] 2.535741e-01 2.494118e-01 2.452790e-01 2.411759e-01 2.371028e-01\n", + " [891] 2.330597e-01 2.290468e-01 2.250643e-01 2.211124e-01 2.171911e-01\n", + " [896] 2.133006e-01 2.094412e-01 2.056129e-01 2.018159e-01 1.980504e-01\n", + " [901] 1.943164e-01 1.906142e-01 1.869439e-01 1.833056e-01 1.796995e-01\n", + " [906] 1.761257e-01 1.725844e-01 1.690757e-01 1.655997e-01 1.621566e-01\n", + " [911] 1.587465e-01 1.553695e-01 1.520258e-01 1.487156e-01 1.454388e-01\n", + " [916] 1.421958e-01 1.389865e-01 1.358112e-01 1.326699e-01 1.295628e-01\n", + " [921] 1.264899e-01 1.234515e-01 1.204476e-01 1.174784e-01 1.145440e-01\n", + " [926] 1.116444e-01 1.087799e-01 1.059504e-01 1.031562e-01 1.003973e-01\n", + " [931] 9.767385e-02 9.498595e-02 9.233372e-02 8.971724e-02 8.713663e-02\n", + " [936] 8.459199e-02 8.208341e-02 7.961100e-02 7.717485e-02 7.477507e-02\n", + " [941] 7.241173e-02 7.008494e-02 6.779479e-02 6.554136e-02 6.332476e-02\n", + " [946] 6.114506e-02 5.900234e-02 5.689671e-02 5.482823e-02 5.279699e-02\n", + " [951] 5.080307e-02 4.884655e-02 4.692750e-02 4.504600e-02 4.320213e-02\n", + " [956] 4.139596e-02 3.962755e-02 3.789698e-02 3.620432e-02 3.454963e-02\n", + " [961] 3.293298e-02 3.135443e-02 2.981404e-02 2.831188e-02 2.684801e-02\n", + " [966] 2.542247e-02 2.403534e-02 2.268665e-02 2.137647e-02 2.010485e-02\n", + " [971] 1.887184e-02 1.767748e-02 1.652183e-02 1.540492e-02 1.432681e-02\n", + " [976] 1.328753e-02 1.228712e-02 1.132564e-02 1.040310e-02 9.519556e-03\n", + " [981] 8.675035e-03 7.869572e-03 7.103199e-03 6.375945e-03 5.687839e-03\n", + " [986] 5.038909e-03 4.429179e-03 3.858675e-03 3.327418e-03 2.835429e-03\n", + " [991] 2.382728e-03 1.969332e-03 1.595259e-03 1.260522e-03 9.651344e-04\n", + " [996] 7.091086e-04 4.924543e-04 3.151801e-04 1.772929e-04 7.879812e-05\n", + "[1001] 1.969972e-05\n" + ] + } + ], + "source": [ + "print(haan(times, T))" + ] }, { "cell_type": "code", "execution_count": null, - "id": "5039b290", + "id": "563ee16f-8066-41b2-b678-52d366b56d51", "metadata": {}, "outputs": [], "source": []