2 Chapter 2: Basics of R Programming
This chapter contains instructions on setting up and using R on your personal computer. I will be using this space to play with ClojisR.
Right now, the space below follows the text of the book and I’ve not gotten to the exercises yet.
2.1 Basics
(r "1+4")[1] 5
(r "2+pi/4-0.8")[1] 1.985398
Learning “<-”, the assignment operator.
(r "x<-1")[1] 1
(r "y<-2")[1] 2
(r "z<-4")[1] 4
(r "t<-2*x^y-z")[1] -2
(r "t")[1] -2
(r "tmax <- c(77, 72, 75, 73, 66, 64, 59)")[1] 77 72 75 73 66 64 59
Generating sequences
(r "1: 8")[1] 1 2 3 4 5 6 7 8
(r "seq(1,8, by=1)")[1] 1 2 3 4 5 6 7 8
(r "seq(1,8, len=8)")[1] 1 2 3 4 5 6 7 8
(r/colon 1 8)[1] 1 2 3 4 5 6 7 8
2.2 Functions
(def f (r "function(x) x*10"))(r->clj (f 5 ))[50.0](let [f (r "function(x,y,z) x+y-z/2")]
(->> [(f 1 2 3)
(f 4 5 6)]
(map r->clj)))([1.5] [6.0])(require-r '[graphics :as gr :refer [plot hist]])nil(require-r '[ggplot2 :refer [ggplot aes geom_point geom_path geom_line geom_tile xlab ylab labs]])nil(r "plot(1:7, c(77, 72, 75, 73, 66, 64, 59))")NULL
2.2.1 Using basic graphics plot
(plot->svg
#(gr/plot-default (r->clj (r "1:7")) (r->clj (r "c(77,72,75,73,66,64,59)"))))2.2.2 Using ggplot
(plot->svg
(let [x (r->clj (r "1: 7"))
y (r->clj (r "c(77, 72, 75, 73, 66, 64, 59)"))]
(-> {:x x :y y}
dataset/->dataset
(ggplot (aes :x x
:y y))
(r/r+ (geom_point)
(xlab "x")
(ylab "y")))))(plot->svg
(let [{:keys [x y] :as sin-data} (r->clj (r "plot(sin, -pi, 2*pi)"))]
(-> sin-data
dataset/->dataset
sin-data
(ggplot (aes :x x
:y y))
(r/r+ (geom_path)
(xlab "x")
(ylab "y")))))(r "square <- function(x) x*x")function (x)
x * x
(def x (r->clj (r "x <- seq(-3, 2, length=100)")))(def y (r->clj (r "y <- square(x)")))(plot->svg
(-> {:x (r->clj x) :y (r->clj y)}
dataset/->dataset
(ggplot (aes :x x
:y y))
(r/r+ (geom_line)
(xlab "x")
(ylab "y"))))2.2.3 3D Plots
(r "x <- seq(-1, 1, length=100)") [1] -1.00000000 -0.97979798 -0.95959596 -0.93939394 -0.91919192 -0.89898990
[7] -0.87878788 -0.85858586 -0.83838384 -0.81818182 -0.79797980 -0.77777778
[13] -0.75757576 -0.73737374 -0.71717172 -0.69696970 -0.67676768 -0.65656566
[19] -0.63636364 -0.61616162 -0.59595960 -0.57575758 -0.55555556 -0.53535354
[25] -0.51515152 -0.49494949 -0.47474747 -0.45454545 -0.43434343 -0.41414141
[31] -0.39393939 -0.37373737 -0.35353535 -0.33333333 -0.31313131 -0.29292929
[37] -0.27272727 -0.25252525 -0.23232323 -0.21212121 -0.19191919 -0.17171717
[43] -0.15151515 -0.13131313 -0.11111111 -0.09090909 -0.07070707 -0.05050505
[49] -0.03030303 -0.01010101 0.01010101 0.03030303 0.05050505 0.07070707
[55] 0.09090909 0.11111111 0.13131313 0.15151515 0.17171717 0.19191919
[61] 0.21212121 0.23232323 0.25252525 0.27272727 0.29292929 0.31313131
[67] 0.33333333 0.35353535 0.37373737 0.39393939 0.41414141 0.43434343
[73] 0.45454545 0.47474747 0.49494949 0.51515152 0.53535354 0.55555556
[79] 0.57575758 0.59595960 0.61616162 0.63636364 0.65656566 0.67676768
[85] 0.69696970 0.71717172 0.73737374 0.75757576 0.77777778 0.79797980
[91] 0.81818182 0.83838384 0.85858586 0.87878788 0.89898990 0.91919192
[97] 0.93939394 0.95959596 0.97979798 1.00000000
(r "y <- seq(-1, 1, length=100)") [1] -1.00000000 -0.97979798 -0.95959596 -0.93939394 -0.91919192 -0.89898990
[7] -0.87878788 -0.85858586 -0.83838384 -0.81818182 -0.79797980 -0.77777778
[13] -0.75757576 -0.73737374 -0.71717172 -0.69696970 -0.67676768 -0.65656566
[19] -0.63636364 -0.61616162 -0.59595960 -0.57575758 -0.55555556 -0.53535354
[25] -0.51515152 -0.49494949 -0.47474747 -0.45454545 -0.43434343 -0.41414141
[31] -0.39393939 -0.37373737 -0.35353535 -0.33333333 -0.31313131 -0.29292929
[37] -0.27272727 -0.25252525 -0.23232323 -0.21212121 -0.19191919 -0.17171717
[43] -0.15151515 -0.13131313 -0.11111111 -0.09090909 -0.07070707 -0.05050505
[49] -0.03030303 -0.01010101 0.01010101 0.03030303 0.05050505 0.07070707
[55] 0.09090909 0.11111111 0.13131313 0.15151515 0.17171717 0.19191919
[61] 0.21212121 0.23232323 0.25252525 0.27272727 0.29292929 0.31313131
[67] 0.33333333 0.35353535 0.37373737 0.39393939 0.41414141 0.43434343
[73] 0.45454545 0.47474747 0.49494949 0.51515152 0.53535354 0.55555556
[79] 0.57575758 0.59595960 0.61616162 0.63636364 0.65656566 0.67676768
[85] 0.69696970 0.71717172 0.73737374 0.75757576 0.77777778 0.79797980
[91] 0.81818182 0.83838384 0.85858586 0.87878788 0.89898990 0.91919192
[97] 0.93939394 0.95959596 0.97979798 1.00000000
(r "z <- outer(x, y, function(x,y) (1-x^2-y^2))") [,1] [,2] [,3] [,4] [,5]
[1,] -1.0000000000 -0.960004081 -0.920824406 -0.882460973 -0.8449137843
[2,] -0.9600040812 -0.920008162 -0.880828487 -0.842465055 -0.8049178655
[3,] -0.9208244057 -0.880828487 -0.841648811 -0.803285379 -0.7657381900
[4,] -0.8824609734 -0.842465055 -0.803285379 -0.764921947 -0.7273747577
[5,] -0.8449137843 -0.804917866 -0.765738190 -0.727374758 -0.6898275686
[6,] -0.8081828385 -0.768186920 -0.729007244 -0.690643812 -0.6530966228
[7,] -0.7722681359 -0.732272217 -0.693092542 -0.654729109 -0.6171819202
[8,] -0.7371696766 -0.697173758 -0.657994082 -0.619630650 -0.5820834609
[9,] -0.7028874605 -0.662891542 -0.623711866 -0.585348434 -0.5478012448
[10,] -0.6694214876 -0.629425569 -0.590245893 -0.551882461 -0.5143352719
[11,] -0.6367717580 -0.596775839 -0.557596164 -0.519232731 -0.4816855423
[12,] -0.6049382716 -0.564942353 -0.525762677 -0.487399245 -0.4498520559
[13,] -0.5739210285 -0.533925110 -0.494745434 -0.456382002 -0.4188348128
[14,] -0.5437200286 -0.503724110 -0.464544434 -0.426181002 -0.3886338129
[15,] -0.5143352719 -0.474339353 -0.435159678 -0.396796245 -0.3592490562
[16,] -0.4857667585 -0.445770840 -0.406591164 -0.368227732 -0.3306805428
[17,] -0.4580144883 -0.418018570 -0.378838894 -0.340475462 -0.3029282726
[18,] -0.4310784614 -0.391082543 -0.351902867 -0.313539435 -0.2759922457
[19,] -0.4049586777 -0.364962759 -0.325783083 -0.287419651 -0.2498724620
[20,] -0.3796551372 -0.339659218 -0.300479543 -0.262116111 -0.2245689215
[21,] -0.3551678400 -0.315171921 -0.275992246 -0.237628813 -0.2000816243
[22,] -0.3314967860 -0.291500867 -0.252321192 -0.213957759 -0.1764105703
[23,] -0.3086419753 -0.268646057 -0.229466381 -0.191102949 -0.1535557596
[24,] -0.2866034078 -0.246607489 -0.207427813 -0.169064381 -0.1315171921
[25,] -0.2653810836 -0.225385165 -0.186205489 -0.147842057 -0.1102948679
[26,] -0.2449750026 -0.204979084 -0.165799408 -0.127435976 -0.0898887869
[27,] -0.2253851648 -0.185389246 -0.146209570 -0.107846138 -0.0702989491
[28,] -0.2066115702 -0.166615651 -0.127435976 -0.089072544 -0.0515253546
[29,] -0.1886542190 -0.148658300 -0.109478625 -0.071115192 -0.0335680033
[30,] -0.1715131109 -0.131517192 -0.092337517 -0.053974084 -0.0164268952
[31,] -0.1551882461 -0.115192327 -0.076012652 -0.037649219 -0.0001020304
[32,] -0.1396796245 -0.099683706 -0.060504030 -0.022140598 0.0154065912
[33,] -0.1249872462 -0.084991327 -0.045811652 -0.007448220 0.0300989695
[34,] -0.1111111111 -0.071115192 -0.031935517 0.006427916 0.0439751046
[35,] -0.0980512193 -0.058055300 -0.018875625 0.019487807 0.0570349964
[36,] -0.0858075707 -0.045811652 -0.006631976 0.031731456 0.0692786450
[37,] -0.0743801653 -0.034384247 0.004795429 0.043158861 0.0807060504
[38,] -0.0637690032 -0.023773084 0.015406591 0.053770023 0.0913172125
[39,] -0.0539740843 -0.013978165 0.025201510 0.063564942 0.1011121314
[40,] -0.0449954086 -0.004999490 0.034180186 0.072543618 0.1100908071
[41,] -0.0368329762 0.003162943 0.042342618 0.080706050 0.1182532395
[42,] -0.0294867871 0.010509132 0.049688807 0.088052240 0.1255994286
[43,] -0.0229568411 0.017039078 0.056218753 0.094582185 0.1321293746
[44,] -0.0172431385 0.022752780 0.061932456 0.100295888 0.1378430772
[45,] -0.0123456790 0.027650240 0.066829915 0.105193348 0.1427405367
[46,] -0.0082644628 0.031731456 0.070911132 0.109274564 0.1468217529
[47,] -0.0049994898 0.034996429 0.074176104 0.112539537 0.1500867258
[48,] -0.0025507601 0.037445159 0.076624834 0.114988267 0.1525354556
[49,] -0.0009182736 0.039077645 0.078257321 0.116620753 0.1541679420
[50,] -0.0001020304 0.039893888 0.079073564 0.117436996 0.1549841853
[51,] -0.0001020304 0.039893888 0.079073564 0.117436996 0.1549841853
[52,] -0.0009182736 0.039077645 0.078257321 0.116620753 0.1541679420
[53,] -0.0025507601 0.037445159 0.076624834 0.114988267 0.1525354556
[54,] -0.0049994898 0.034996429 0.074176104 0.112539537 0.1500867258
[55,] -0.0082644628 0.031731456 0.070911132 0.109274564 0.1468217529
[56,] -0.0123456790 0.027650240 0.066829915 0.105193348 0.1427405367
[57,] -0.0172431385 0.022752780 0.061932456 0.100295888 0.1378430772
[58,] -0.0229568411 0.017039078 0.056218753 0.094582185 0.1321293746
[59,] -0.0294867871 0.010509132 0.049688807 0.088052240 0.1255994286
[60,] -0.0368329762 0.003162943 0.042342618 0.080706050 0.1182532395
[61,] -0.0449954086 -0.004999490 0.034180186 0.072543618 0.1100908071
[62,] -0.0539740843 -0.013978165 0.025201510 0.063564942 0.1011121314
[63,] -0.0637690032 -0.023773084 0.015406591 0.053770023 0.0913172125
[64,] -0.0743801653 -0.034384247 0.004795429 0.043158861 0.0807060504
[65,] -0.0858075707 -0.045811652 -0.006631976 0.031731456 0.0692786450
[66,] -0.0980512193 -0.058055300 -0.018875625 0.019487807 0.0570349964
[67,] -0.1111111111 -0.071115192 -0.031935517 0.006427916 0.0439751046
[68,] -0.1249872462 -0.084991327 -0.045811652 -0.007448220 0.0300989695
[69,] -0.1396796245 -0.099683706 -0.060504030 -0.022140598 0.0154065912
[70,] -0.1551882461 -0.115192327 -0.076012652 -0.037649219 -0.0001020304
[71,] -0.1715131109 -0.131517192 -0.092337517 -0.053974084 -0.0164268952
[72,] -0.1886542190 -0.148658300 -0.109478625 -0.071115192 -0.0335680033
[73,] -0.2066115702 -0.166615651 -0.127435976 -0.089072544 -0.0515253546
[74,] -0.2253851648 -0.185389246 -0.146209570 -0.107846138 -0.0702989491
[75,] -0.2449750026 -0.204979084 -0.165799408 -0.127435976 -0.0898887869
[76,] -0.2653810836 -0.225385165 -0.186205489 -0.147842057 -0.1102948679
[77,] -0.2866034078 -0.246607489 -0.207427813 -0.169064381 -0.1315171921
[78,] -0.3086419753 -0.268646057 -0.229466381 -0.191102949 -0.1535557596
[79,] -0.3314967860 -0.291500867 -0.252321192 -0.213957759 -0.1764105703
[80,] -0.3551678400 -0.315171921 -0.275992246 -0.237628813 -0.2000816243
[81,] -0.3796551372 -0.339659218 -0.300479543 -0.262116111 -0.2245689215
[82,] -0.4049586777 -0.364962759 -0.325783083 -0.287419651 -0.2498724620
[83,] -0.4310784614 -0.391082543 -0.351902867 -0.313539435 -0.2759922457
[84,] -0.4580144883 -0.418018570 -0.378838894 -0.340475462 -0.3029282726
[85,] -0.4857667585 -0.445770840 -0.406591164 -0.368227732 -0.3306805428
[86,] -0.5143352719 -0.474339353 -0.435159678 -0.396796245 -0.3592490562
[87,] -0.5437200286 -0.503724110 -0.464544434 -0.426181002 -0.3886338129
[88,] -0.5739210285 -0.533925110 -0.494745434 -0.456382002 -0.4188348128
[89,] -0.6049382716 -0.564942353 -0.525762677 -0.487399245 -0.4498520559
[90,] -0.6367717580 -0.596775839 -0.557596164 -0.519232731 -0.4816855423
[91,] -0.6694214876 -0.629425569 -0.590245893 -0.551882461 -0.5143352719
[92,] -0.7028874605 -0.662891542 -0.623711866 -0.585348434 -0.5478012448
[93,] -0.7371696766 -0.697173758 -0.657994082 -0.619630650 -0.5820834609
[94,] -0.7722681359 -0.732272217 -0.693092542 -0.654729109 -0.6171819202
[95,] -0.8081828385 -0.768186920 -0.729007244 -0.690643812 -0.6530966228
[96,] -0.8449137843 -0.804917866 -0.765738190 -0.727374758 -0.6898275686
[97,] -0.8824609734 -0.842465055 -0.803285379 -0.764921947 -0.7273747577
[98,] -0.9208244057 -0.880828487 -0.841648811 -0.803285379 -0.7657381900
[99,] -0.9600040812 -0.920008162 -0.880828487 -0.842465055 -0.8049178655
[100,] -1.0000000000 -0.960004081 -0.920824406 -0.882460973 -0.8449137843
[,6] [,7] [,8] [,9] [,10]
[1,] -0.808182838 -0.772268136 -0.73716968 -0.70288746 -0.6694214876
[2,] -0.768186920 -0.732272217 -0.69717376 -0.66289154 -0.6294255688
[3,] -0.729007244 -0.693092542 -0.65799408 -0.62371187 -0.5902458933
[4,] -0.690643812 -0.654729109 -0.61963065 -0.58534843 -0.5518824610
[5,] -0.653096623 -0.617181920 -0.58208346 -0.54780124 -0.5143352719
[6,] -0.616365677 -0.580450974 -0.54535252 -0.51107030 -0.4776043261
[7,] -0.580450974 -0.544536272 -0.50943781 -0.47515560 -0.4416896235
[8,] -0.545352515 -0.509437812 -0.47433935 -0.44005714 -0.4065911642
[9,] -0.511070299 -0.475155596 -0.44005714 -0.40577492 -0.3723089481
[10,] -0.477604326 -0.441689624 -0.40659116 -0.37230895 -0.3388429752
[11,] -0.444954596 -0.409039894 -0.37394143 -0.33965922 -0.3061932456
[12,] -0.413121110 -0.377206408 -0.34210795 -0.30782573 -0.2743597592
[13,] -0.382103867 -0.346189164 -0.31109071 -0.27680849 -0.2433425161
[14,] -0.351902867 -0.315988164 -0.28088971 -0.24660749 -0.2131415162
[15,] -0.322518110 -0.286603408 -0.25150495 -0.21722273 -0.1837567595
[16,] -0.293949597 -0.258034894 -0.22293644 -0.18865422 -0.1551882461
[17,] -0.266197327 -0.230282624 -0.19518416 -0.16090195 -0.1274359759
[18,] -0.239261300 -0.203346597 -0.16824814 -0.13396592 -0.1004999490
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[20,] -0.187837976 -0.151923273 -0.11682481 -0.08254260 -0.0490766248
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[22,] -0.139679625 -0.103764922 -0.06866646 -0.03438425 -0.0009182736
[23,] -0.116824814 -0.080910111 -0.04581165 -0.01152944 0.0219365371
[24,] -0.094786246 -0.058871544 -0.02377308 0.01050913 0.0439751046
[25,] -0.073563922 -0.037649219 -0.00255076 0.03173146 0.0651974288
[26,] -0.053157841 -0.017243138 0.01785532 0.05213754 0.0856035098
[27,] -0.033568003 0.002346699 0.03744516 0.07172737 0.1051933476
[28,] -0.014794409 0.021120294 0.05621875 0.09050097 0.1239669421
[29,] 0.003162943 0.039077645 0.07417610 0.10845832 0.1419242934
[30,] 0.020304051 0.056218753 0.09131721 0.12559943 0.1590654015
[31,] 0.036628915 0.072543618 0.10764208 0.14192429 0.1753902663
[32,] 0.052137537 0.088052240 0.12315070 0.15743292 0.1908988879
[33,] 0.066829915 0.102744618 0.13784308 0.17212529 0.2055912662
[34,] 0.080706050 0.116620753 0.15171921 0.18600143 0.2194674013
[35,] 0.093765942 0.129680645 0.16477910 0.19906132 0.2325272931
[36,] 0.106009591 0.141924293 0.17702275 0.21130497 0.2447709417
[37,] 0.117436996 0.153351699 0.18845016 0.22273237 0.2561983471
[38,] 0.128048158 0.163962861 0.19906132 0.23334354 0.2668095092
[39,] 0.137843077 0.173757780 0.20885624 0.24313846 0.2766044281
[40,] 0.146821753 0.182736455 0.21783491 0.25211713 0.2855831038
[41,] 0.154984185 0.190898888 0.22599735 0.26027956 0.2937455362
[42,] 0.162330374 0.198245077 0.23334354 0.26762575 0.3010917253
[43,] 0.168860320 0.204775023 0.23987348 0.27415570 0.3076216713
[44,] 0.174574023 0.210488726 0.24558718 0.27986940 0.3133353739
[45,] 0.179471483 0.215386185 0.25048464 0.28476686 0.3182328334
[46,] 0.183552699 0.219467401 0.25456586 0.28884808 0.3223140496
[47,] 0.186817672 0.222732374 0.25783083 0.29211305 0.3255790225
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Create a data frame
(r "data <- expand.grid(x=x, y=y)") x y
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1960 0.19191919 -0.61616162
1961 0.21212121 -0.61616162
1962 0.23232323 -0.61616162
1963 0.25252525 -0.61616162
1964 0.27272727 -0.61616162
1965 0.29292929 -0.61616162
1966 0.31313131 -0.61616162
1967 0.33333333 -0.61616162
1968 0.35353535 -0.61616162
1969 0.37373737 -0.61616162
1970 0.39393939 -0.61616162
1971 0.41414141 -0.61616162
1972 0.43434343 -0.61616162
1973 0.45454545 -0.61616162
1974 0.47474747 -0.61616162
1975 0.49494949 -0.61616162
1976 0.51515152 -0.61616162
1977 0.53535354 -0.61616162
1978 0.55555556 -0.61616162
1979 0.57575758 -0.61616162
1980 0.59595960 -0.61616162
1981 0.61616162 -0.61616162
1982 0.63636364 -0.61616162
1983 0.65656566 -0.61616162
1984 0.67676768 -0.61616162
1985 0.69696970 -0.61616162
1986 0.71717172 -0.61616162
1987 0.73737374 -0.61616162
1988 0.75757576 -0.61616162
1989 0.77777778 -0.61616162
1990 0.79797980 -0.61616162
1991 0.81818182 -0.61616162
1992 0.83838384 -0.61616162
1993 0.85858586 -0.61616162
1994 0.87878788 -0.61616162
1995 0.89898990 -0.61616162
1996 0.91919192 -0.61616162
1997 0.93939394 -0.61616162
1998 0.95959596 -0.61616162
1999 0.97979798 -0.61616162
2000 1.00000000 -0.61616162
2001 -1.00000000 -0.59595960
2002 -0.97979798 -0.59595960
2003 -0.95959596 -0.59595960
2004 -0.93939394 -0.59595960
2005 -0.91919192 -0.59595960
2006 -0.89898990 -0.59595960
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2008 -0.85858586 -0.59595960
2009 -0.83838384 -0.59595960
2010 -0.81818182 -0.59595960
2011 -0.79797980 -0.59595960
2012 -0.77777778 -0.59595960
2013 -0.75757576 -0.59595960
2014 -0.73737374 -0.59595960
2015 -0.71717172 -0.59595960
2016 -0.69696970 -0.59595960
2017 -0.67676768 -0.59595960
2018 -0.65656566 -0.59595960
2019 -0.63636364 -0.59595960
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2021 -0.59595960 -0.59595960
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[1686] 0.0276502398 -0.0017345169 -0.0319355168 -0.0629527599 -0.0947862463
[1691] -0.1274359759 -0.1609019488 -0.1951841649 -0.2302826242 -0.2661973268
[1696] -0.3029282726 -0.3404754617 -0.3788388940 -0.4180185695 -0.4580144883
[1701] -0.4310784614 -0.3910825426 -0.3519028671 -0.3135394348 -0.2759922457
[1706] -0.2392612999 -0.2033465973 -0.1682481379 -0.1339659218 -0.1004999490
[1711] -0.0678502194 -0.0360167330 -0.0049994898 0.0252015100 0.0545862667
[1716] 0.0831547801 0.1109070503 0.1378430772 0.1639628609 0.1892664014
[1721] 0.2137536986 0.2374247526 0.2602795633 0.2823181308 0.3035404551
[1726] 0.3239465361 0.3435363738 0.3623099684 0.3802673197 0.3974084277
[1731] 0.4137332925 0.4292419141 0.4439342924 0.4578104275 0.4708703194
[1736] 0.4831139680 0.4945413733 0.5051525355 0.5149474543 0.5239261300
[1741] 0.5320885624 0.5394347516 0.5459646975 0.5516784002 0.5565758596
[1746] 0.5606570758 0.5639220488 0.5663707785 0.5680032650 0.5688195082
[1751] 0.5688195082 0.5680032650 0.5663707785 0.5639220488 0.5606570758
[1756] 0.5565758596 0.5516784002 0.5459646975 0.5394347516 0.5320885624
[1761] 0.5239261300 0.5149474543 0.5051525355 0.4945413733 0.4831139680
[1766] 0.4708703194 0.4578104275 0.4439342924 0.4292419141 0.4137332925
[1771] 0.3974084277 0.3802673197 0.3623099684 0.3435363738 0.3239465361
[1776] 0.3035404551 0.2823181308 0.2602795633 0.2374247526 0.2137536986
[1781] 0.1892664014 0.1639628609 0.1378430772 0.1109070503 0.0831547801
[1786] 0.0545862667 0.0252015100 -0.0049994898 -0.0360167330 -0.0678502194
[1791] -0.1004999490 -0.1339659218 -0.1682481379 -0.2033465973 -0.2392612999
[1796] -0.2759922457 -0.3135394348 -0.3519028671 -0.3910825426 -0.4310784614
[1801] -0.4049586777 -0.3649627589 -0.3257830834 -0.2874196511 -0.2498724620
[1806] -0.2131415162 -0.1772268136 -0.1421283542 -0.1078461381 -0.0743801653
[1811] -0.0417304357 -0.0098969493 0.0211202938 0.0513212937 0.0807060504
[1816] 0.1092745638 0.1370268340 0.1639628609 0.1900826446 0.2153861851
[1821] 0.2398734823 0.2635445363 0.2863993470 0.3084379145 0.3296602388
[1826] 0.3500663198 0.3696561575 0.3884297521 0.4063871034 0.4235282114
[1831] 0.4398530762 0.4553616978 0.4700540761 0.4839302112 0.4969901031
[1836] 0.5092337517 0.5206611570 0.5312723192 0.5410672380 0.5500459137
[1841] 0.5582083461 0.5655545353 0.5720844812 0.5777981839 0.5826956433
[1846] 0.5867768595 0.5900418325 0.5924905622 0.5941230487 0.5949392919
[1851] 0.5949392919 0.5941230487 0.5924905622 0.5900418325 0.5867768595
[1856] 0.5826956433 0.5777981839 0.5720844812 0.5655545353 0.5582083461
[1861] 0.5500459137 0.5410672380 0.5312723192 0.5206611570 0.5092337517
[1866] 0.4969901031 0.4839302112 0.4700540761 0.4553616978 0.4398530762
[1871] 0.4235282114 0.4063871034 0.3884297521 0.3696561575 0.3500663198
[1876] 0.3296602388 0.3084379145 0.2863993470 0.2635445363 0.2398734823
[1881] 0.2153861851 0.1900826446 0.1639628609 0.1370268340 0.1092745638
[1886] 0.0807060504 0.0513212937 0.0211202938 -0.0098969493 -0.0417304357
[1891] -0.0743801653 -0.1078461381 -0.1421283542 -0.1772268136 -0.2131415162
[1896] -0.2498724620 -0.2874196511 -0.3257830834 -0.3649627589 -0.4049586777
[1901] -0.3796551372 -0.3396592184 -0.3004795429 -0.2621161106 -0.2245689215
[1906] -0.1878379757 -0.1519232731 -0.1168248138 -0.0825425977 -0.0490766248
[1911] -0.0164268952 0.0154065912 0.0464238343 0.0766248342 0.1060095909
[1916] 0.1345781043 0.1623303745 0.1892664014 0.2153861851 0.2406897255
[1921] 0.2651770228 0.2888480767 0.3117028875 0.3337414550 0.3549637792
[1926] 0.3753698602 0.3949596980 0.4137332925 0.4316906438 0.4488317519
[1931] 0.4651566167 0.4806652382 0.4953576166 0.5092337517 0.5222936435
[1936] 0.5345372921 0.5459646975 0.5565758596 0.5663707785 0.5753494541
[1941] 0.5835118865 0.5908580757 0.5973880216 0.6031017243 0.6079991838
[1946] 0.6120804000 0.6153453729 0.6177941026 0.6194265891 0.6202428324
[1951] 0.6202428324 0.6194265891 0.6177941026 0.6153453729 0.6120804000
[1956] 0.6079991838 0.6031017243 0.5973880216 0.5908580757 0.5835118865
[1961] 0.5753494541 0.5663707785 0.5565758596 0.5459646975 0.5345372921
[1966] 0.5222936435 0.5092337517 0.4953576166 0.4806652382 0.4651566167
[1971] 0.4488317519 0.4316906438 0.4137332925 0.3949596980 0.3753698602
[1976] 0.3549637792 0.3337414550 0.3117028875 0.2888480767 0.2651770228
[1981] 0.2406897255 0.2153861851 0.1892664014 0.1623303745 0.1345781043
[1986] 0.1060095909 0.0766248342 0.0464238343 0.0154065912 -0.0164268952
[1991] -0.0490766248 -0.0825425977 -0.1168248138 -0.1519232731 -0.1878379757
[1996] -0.2245689215 -0.2621161106 -0.3004795429 -0.3396592184 -0.3796551372
[2001] -0.3551678400 -0.3151719212 -0.2759922457 -0.2376288134 -0.2000816243
[2006] -0.1633506785 -0.1274359759 -0.0923375166 -0.0580553005 -0.0245893276
[2011] 0.0080604020 0.0398938884 0.0709111315 0.1011121314 0.1304968881
[2016] 0.1590654015 0.1868176717 0.2137536986 0.2398734823 0.2651770228
[2021] 0.2896643200 0.3133353739 0.3361901847 0.3582287522 0.3794510764
[2026] 0.3998571574 0.4194469952 0.4382205897 0.4561779410 0.4733190491
[2031] 0.4896439139 0.5051525355 0.5198449138 0.5337210489 0.5467809407
[2036] 0.5590245893 0.5704519947 0.5810631568 0.5908580757 0.5998367514
[2041] 0.6079991838 0.6153453729 0.6218753188 0.6275890215 0.6324864810
[2046] 0.6365676972 0.6398326701 0.6422813999 0.6439138863 0.6447301296
[2051] 0.6447301296 0.6439138863 0.6422813999 0.6398326701 0.6365676972
[2056] 0.6324864810 0.6275890215 0.6218753188 0.6153453729 0.6079991838
[2061] 0.5998367514 0.5908580757 0.5810631568 0.5704519947 0.5590245893
[2066] 0.5467809407 0.5337210489 0.5198449138 0.5051525355 0.4896439139
[2071] 0.4733190491 0.4561779410 0.4382205897 0.4194469952 0.3998571574
[2076] 0.3794510764 0.3582287522 0.3361901847 0.3133353739 0.2896643200
[2081] 0.2651770228 0.2398734823 0.2137536986 0.1868176717 0.1590654015
[2086] 0.1304968881 0.1011121314 0.0709111315 0.0398938884 0.0080604020
[2091] -0.0245893276 -0.0580553005 -0.0923375166 -0.1274359759 -0.1633506785
[2096] -0.2000816243 -0.2376288134 -0.2759922457 -0.3151719212 -0.3551678400
[2101] -0.3314967860 -0.2915008673 -0.2523211917 -0.2139577594 -0.1764105703
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[2116] 0.1827364555 0.2104887256 0.2374247526 0.2635445363 0.2888480767
[2121] 0.3133353739 0.3370064279 0.3598612386 0.3818998061 0.4031221304
[2126] 0.4235282114 0.4431180492 0.4618916437 0.4798489950 0.4969901031
[2131] 0.5133149679 0.5288235894 0.5435159678 0.5573921028 0.5704519947
[2136] 0.5826956433 0.5941230487 0.6047342108 0.6145291297 0.6235078053
[2141] 0.6316702377 0.6390164269 0.6455463728 0.6512600755 0.6561575349
[2146] 0.6602387511 0.6635037241 0.6659524538 0.6675849403 0.6684011836
[2151] 0.6684011836 0.6675849403 0.6659524538 0.6635037241 0.6602387511
[2156] 0.6561575349 0.6512600755 0.6455463728 0.6390164269 0.6316702377
[2161] 0.6235078053 0.6145291297 0.6047342108 0.5941230487 0.5826956433
[2166] 0.5704519947 0.5573921028 0.5435159678 0.5288235894 0.5133149679
[2171] 0.4969901031 0.4798489950 0.4618916437 0.4431180492 0.4235282114
[2176] 0.4031221304 0.3818998061 0.3598612386 0.3370064279 0.3133353739
[2181] 0.2888480767 0.2635445363 0.2374247526 0.2104887256 0.1827364555
[2186] 0.1541679420 0.1247831854 0.0945821855 0.0635649424 0.0317314560
[2191] -0.0009182736 -0.0343842465 -0.0686664626 -0.1037649219 -0.1396796245
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[2216] 0.2055912662 0.2333435364 0.2602795633 0.2863993470 0.3117028875
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[2386] 0.1990613203 0.1696765636 0.1394755637 0.1084583206 0.0766248342
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[9146] 0.2888480767 0.2921130497 0.2945617794 0.2961942659 0.2970105091
[9151] 0.2970105091 0.2961942659 0.2945617794 0.2921130497 0.2888480767
[9156] 0.2847668605 0.2798694011 0.2741556984 0.2676257525 0.2602795633
[9161] 0.2521171309 0.2431384553 0.2333435364 0.2227323742 0.2113049689
[9166] 0.1990613203 0.1860014284 0.1721252933 0.1574329150 0.1419242934
[9171] 0.1255994286 0.1084583206 0.0905009693 0.0717273748 0.0521375370
[9176] 0.0317314560 0.0105091317 -0.0115294358 -0.0343842465 -0.0580553005
[9181] -0.0825425977 -0.1078461381 -0.1339659218 -0.1609019488 -0.1886542190
[9186] -0.2172227324 -0.2466074890 -0.2768084889 -0.3078257321 -0.3396592184
[9191] -0.3723089481 -0.4057749209 -0.4400571370 -0.4751555964 -0.5110702989
[9196] -0.5478012448 -0.5853484338 -0.6237118661 -0.6628915417 -0.7028874605
[9201] -0.7371696766 -0.6971737578 -0.6579940822 -0.6196306499 -0.5820834609
[9206] -0.5453525150 -0.5094378125 -0.4743393531 -0.4400571370 -0.4065911642
[9211] -0.3739414345 -0.3421079482 -0.3110907050 -0.2808897051 -0.2515049485
[9216] -0.2229364351 -0.1951841649 -0.1682481379 -0.1421283542 -0.1168248138
[9221] -0.0923375166 -0.0686664626 -0.0458116519 -0.0237730844 -0.0025507601
[9226] 0.0178553209 0.0374451587 0.0562187532 0.0741761045 0.0913172125
[9231] 0.1076420773 0.1231506989 0.1378430772 0.1517192123 0.1647791042
[9236] 0.1770227528 0.1884501581 0.1990613203 0.2088562392 0.2178349148
[9241] 0.2259973472 0.2333435364 0.2398734823 0.2455871850 0.2504846444
[9246] 0.2545658606 0.2578308336 0.2602795633 0.2619120498 0.2627282930
[9251] 0.2627282930 0.2619120498 0.2602795633 0.2578308336 0.2545658606
[9256] 0.2504846444 0.2455871850 0.2398734823 0.2333435364 0.2259973472
[9261] 0.2178349148 0.2088562392 0.1990613203 0.1884501581 0.1770227528
[9266] 0.1647791042 0.1517192123 0.1378430772 0.1231506989 0.1076420773
[9271] 0.0913172125 0.0741761045 0.0562187532 0.0374451587 0.0178553209
[9276] -0.0025507601 -0.0237730844 -0.0458116519 -0.0686664626 -0.0923375166
[9281] -0.1168248138 -0.1421283542 -0.1682481379 -0.1951841649 -0.2229364351
[9286] -0.2515049485 -0.2808897051 -0.3110907050 -0.3421079482 -0.3739414345
[9291] -0.4065911642 -0.4400571370 -0.4743393531 -0.5094378125 -0.5453525150
[9296] -0.5820834609 -0.6196306499 -0.6579940822 -0.6971737578 -0.7371696766
[9301] -0.7722681359 -0.7322722171 -0.6930925416 -0.6547291093 -0.6171819202
[9306] -0.5804509744 -0.5445362718 -0.5094378125 -0.4751555964 -0.4416896235
[9311] -0.4090398939 -0.3772064075 -0.3461891644 -0.3159881645 -0.2866034078
[9316] -0.2580348944 -0.2302826242 -0.2033465973 -0.1772268136 -0.1519232731
[9321] -0.1274359759 -0.1037649219 -0.0809101112 -0.0588715437 -0.0376492195
[9326] -0.0172431385 0.0023466993 0.0211202938 0.0390776451 0.0562187532
[9331] 0.0725436180 0.0880522396 0.1027446179 0.1166207530 0.1296806448
[9336] 0.1419242934 0.1533516988 0.1639628609 0.1737577798 0.1827364555
[9341] 0.1908988879 0.1982450770 0.2047750230 0.2104887256 0.2153861851
[9346] 0.2194674013 0.2227323742 0.2251811040 0.2268135904 0.2276298337
[9351] 0.2276298337 0.2268135904 0.2251811040 0.2227323742 0.2194674013
[9356] 0.2153861851 0.2104887256 0.2047750230 0.1982450770 0.1908988879
[9361] 0.1827364555 0.1737577798 0.1639628609 0.1533516988 0.1419242934
[9366] 0.1296806448 0.1166207530 0.1027446179 0.0880522396 0.0725436180
[9371] 0.0562187532 0.0390776451 0.0211202938 0.0023466993 -0.0172431385
[9376] -0.0376492195 -0.0588715437 -0.0809101112 -0.1037649219 -0.1274359759
[9381] -0.1519232731 -0.1772268136 -0.2033465973 -0.2302826242 -0.2580348944
[9386] -0.2866034078 -0.3159881645 -0.3461891644 -0.3772064075 -0.4090398939
[9391] -0.4416896235 -0.4751555964 -0.5094378125 -0.5445362718 -0.5804509744
[9396] -0.6171819202 -0.6547291093 -0.6930925416 -0.7322722171 -0.7722681359
[9401] -0.8081828385 -0.7681869197 -0.7290072442 -0.6906438119 -0.6530966228
[9406] -0.6163656770 -0.5804509744 -0.5453525150 -0.5110702989 -0.4776043261
[9411] -0.4449545965 -0.4131211101 -0.3821038670 -0.3519028671 -0.3225181104
[9416] -0.2939495970 -0.2661973268 -0.2392612999 -0.2131415162 -0.1878379757
[9421] -0.1633506785 -0.1396796245 -0.1168248138 -0.0947862463 -0.0735639220
[9426] -0.0531578410 -0.0335680033 -0.0147944087 0.0031629426 0.0203040506
[9431] 0.0366289154 0.0521375370 0.0668299153 0.0807060504 0.0937659423
[9436] 0.1060095909 0.1174369962 0.1280481584 0.1378430772 0.1468217529
[9441] 0.1549841853 0.1623303745 0.1688603204 0.1745740231 0.1794714825
[9446] 0.1835526987 0.1868176717 0.1892664014 0.1908988879 0.1917151311
[9451] 0.1917151311 0.1908988879 0.1892664014 0.1868176717 0.1835526987
[9456] 0.1794714825 0.1745740231 0.1688603204 0.1623303745 0.1549841853
[9461] 0.1468217529 0.1378430772 0.1280481584 0.1174369962 0.1060095909
[9466] 0.0937659423 0.0807060504 0.0668299153 0.0521375370 0.0366289154
[9471] 0.0203040506 0.0031629426 -0.0147944087 -0.0335680033 -0.0531578410
[9476] -0.0735639220 -0.0947862463 -0.1168248138 -0.1396796245 -0.1633506785
[9481] -0.1878379757 -0.2131415162 -0.2392612999 -0.2661973268 -0.2939495970
[9486] -0.3225181104 -0.3519028671 -0.3821038670 -0.4131211101 -0.4449545965
[9491] -0.4776043261 -0.5110702989 -0.5453525150 -0.5804509744 -0.6163656770
[9496] -0.6530966228 -0.6906438119 -0.7290072442 -0.7681869197 -0.8081828385
[9501] -0.8449137843 -0.8049178655 -0.7657381900 -0.7273747577 -0.6898275686
[9506] -0.6530966228 -0.6171819202 -0.5820834609 -0.5478012448 -0.5143352719
[9511] -0.4816855423 -0.4498520559 -0.4188348128 -0.3886338129 -0.3592490562
[9516] -0.3306805428 -0.3029282726 -0.2759922457 -0.2498724620 -0.2245689215
[9521] -0.2000816243 -0.1764105703 -0.1535557596 -0.1315171921 -0.1102948679
[9526] -0.0898887869 -0.0702989491 -0.0515253546 -0.0335680033 -0.0164268952
[9531] -0.0001020304 0.0154065912 0.0300989695 0.0439751046 0.0570349964
[9536] 0.0692786450 0.0807060504 0.0913172125 0.1011121314 0.1100908071
[9541] 0.1182532395 0.1255994286 0.1321293746 0.1378430772 0.1427405367
[9546] 0.1468217529 0.1500867258 0.1525354556 0.1541679420 0.1549841853
[9551] 0.1549841853 0.1541679420 0.1525354556 0.1500867258 0.1468217529
[9556] 0.1427405367 0.1378430772 0.1321293746 0.1255994286 0.1182532395
[9561] 0.1100908071 0.1011121314 0.0913172125 0.0807060504 0.0692786450
[9566] 0.0570349964 0.0439751046 0.0300989695 0.0154065912 -0.0001020304
[9571] -0.0164268952 -0.0335680033 -0.0515253546 -0.0702989491 -0.0898887869
[9576] -0.1102948679 -0.1315171921 -0.1535557596 -0.1764105703 -0.2000816243
[9581] -0.2245689215 -0.2498724620 -0.2759922457 -0.3029282726 -0.3306805428
[9586] -0.3592490562 -0.3886338129 -0.4188348128 -0.4498520559 -0.4816855423
[9591] -0.5143352719 -0.5478012448 -0.5820834609 -0.6171819202 -0.6530966228
[9596] -0.6898275686 -0.7273747577 -0.7657381900 -0.8049178655 -0.8449137843
[9601] -0.8824609734 -0.8424650546 -0.8032853790 -0.7649219467 -0.7273747577
[9606] -0.6906438119 -0.6547291093 -0.6196306499 -0.5853484338 -0.5518824610
[9611] -0.5192327314 -0.4873992450 -0.4563820018 -0.4261810019 -0.3967962453
[9616] -0.3682277319 -0.3404754617 -0.3135394348 -0.2874196511 -0.2621161106
[9621] -0.2376288134 -0.2139577594 -0.1911029487 -0.1690643812 -0.1478420569
[9626] -0.1274359759 -0.1078461381 -0.0890725436 -0.0711151923 -0.0539740843
[9631] -0.0376492195 -0.0221405979 -0.0074482196 0.0064279155 0.0194878074
[9636] 0.0317314560 0.0431588613 0.0537700235 0.0635649424 0.0725436180
[9641] 0.0807060504 0.0880522396 0.0945821855 0.1002958882 0.1051933476
[9646] 0.1092745638 0.1125395368 0.1149882665 0.1166207530 0.1174369962
[9651] 0.1174369962 0.1166207530 0.1149882665 0.1125395368 0.1092745638
[9656] 0.1051933476 0.1002958882 0.0945821855 0.0880522396 0.0807060504
[9661] 0.0725436180 0.0635649424 0.0537700235 0.0431588613 0.0317314560
[9666] 0.0194878074 0.0064279155 -0.0074482196 -0.0221405979 -0.0376492195
[9671] -0.0539740843 -0.0711151923 -0.0890725436 -0.1078461381 -0.1274359759
[9676] -0.1478420569 -0.1690643812 -0.1911029487 -0.2139577594 -0.2376288134
[9681] -0.2621161106 -0.2874196511 -0.3135394348 -0.3404754617 -0.3682277319
[9686] -0.3967962453 -0.4261810019 -0.4563820018 -0.4873992450 -0.5192327314
[9691] -0.5518824610 -0.5853484338 -0.6196306499 -0.6547291093 -0.6906438119
[9696] -0.7273747577 -0.7649219467 -0.8032853790 -0.8424650546 -0.8824609734
[9701] -0.9208244057 -0.8808284869 -0.8416488113 -0.8032853790 -0.7657381900
[9706] -0.7290072442 -0.6930925416 -0.6579940822 -0.6237118661 -0.5902458933
[9711] -0.5575961637 -0.5257626773 -0.4947454341 -0.4645444342 -0.4351596776
[9716] -0.4065911642 -0.3788388940 -0.3519028671 -0.3257830834 -0.3004795429
[9721] -0.2759922457 -0.2523211917 -0.2294663810 -0.2074278135 -0.1862054892
[9726] -0.1657994082 -0.1462095705 -0.1274359759 -0.1094786246 -0.0923375166
[9731] -0.0760126518 -0.0605040302 -0.0458116519 -0.0319355168 -0.0188756249
[9736] -0.0066319763 0.0047954290 0.0154065912 0.0252015100 0.0341801857
[9741] 0.0423426181 0.0496888073 0.0562187532 0.0619324559 0.0668299153
[9746] 0.0709111315 0.0741761045 0.0766248342 0.0782573207 0.0790735639
[9751] 0.0790735639 0.0782573207 0.0766248342 0.0741761045 0.0709111315
[9756] 0.0668299153 0.0619324559 0.0562187532 0.0496888073 0.0423426181
[9761] 0.0341801857 0.0252015100 0.0154065912 0.0047954290 -0.0066319763
[9766] -0.0188756249 -0.0319355168 -0.0458116519 -0.0605040302 -0.0760126518
[9771] -0.0923375166 -0.1094786246 -0.1274359759 -0.1462095705 -0.1657994082
[9776] -0.1862054892 -0.2074278135 -0.2294663810 -0.2523211917 -0.2759922457
[9781] -0.3004795429 -0.3257830834 -0.3519028671 -0.3788388940 -0.4065911642
[9786] -0.4351596776 -0.4645444342 -0.4947454341 -0.5257626773 -0.5575961637
[9791] -0.5902458933 -0.6237118661 -0.6579940822 -0.6930925416 -0.7290072442
[9796] -0.7657381900 -0.8032853790 -0.8416488113 -0.8808284869 -0.9208244057
[9801] -0.9600040812 -0.9200081624 -0.8808284869 -0.8424650546 -0.8049178655
[9806] -0.7681869197 -0.7322722171 -0.6971737578 -0.6628915417 -0.6294255688
[9811] -0.5967758392 -0.5649423528 -0.5339251097 -0.5037241098 -0.4743393531
[9816] -0.4457708397 -0.4180185695 -0.3910825426 -0.3649627589 -0.3396592184
[9821] -0.3151719212 -0.2915008673 -0.2686460565 -0.2466074890 -0.2253851648
[9826] -0.2049790838 -0.1853892460 -0.1666156515 -0.1486583002 -0.1315171921
[9831] -0.1151923273 -0.0996837057 -0.0849913274 -0.0711151923 -0.0580553005
[9836] -0.0458116519 -0.0343842465 -0.0237730844 -0.0139781655 -0.0049994898
[9841] 0.0031629426 0.0105091317 0.0170390776 0.0227527803 0.0276502398
[9846] 0.0317314560 0.0349964289 0.0374451587 0.0390776451 0.0398938884
[9851] 0.0398938884 0.0390776451 0.0374451587 0.0349964289 0.0317314560
[9856] 0.0276502398 0.0227527803 0.0170390776 0.0105091317 0.0031629426
[9861] -0.0049994898 -0.0139781655 -0.0237730844 -0.0343842465 -0.0458116519
[9866] -0.0580553005 -0.0711151923 -0.0849913274 -0.0996837057 -0.1151923273
[9871] -0.1315171921 -0.1486583002 -0.1666156515 -0.1853892460 -0.2049790838
[9876] -0.2253851648 -0.2466074890 -0.2686460565 -0.2915008673 -0.3151719212
[9881] -0.3396592184 -0.3649627589 -0.3910825426 -0.4180185695 -0.4457708397
[9886] -0.4743393531 -0.5037241098 -0.5339251097 -0.5649423528 -0.5967758392
[9891] -0.6294255688 -0.6628915417 -0.6971737578 -0.7322722171 -0.7681869197
[9896] -0.8049178655 -0.8424650546 -0.8808284869 -0.9200081624 -0.9600040812
[9901] -1.0000000000 -0.9600040812 -0.9208244057 -0.8824609734 -0.8449137843
[9906] -0.8081828385 -0.7722681359 -0.7371696766 -0.7028874605 -0.6694214876
[9911] -0.6367717580 -0.6049382716 -0.5739210285 -0.5437200286 -0.5143352719
[9916] -0.4857667585 -0.4580144883 -0.4310784614 -0.4049586777 -0.3796551372
[9921] -0.3551678400 -0.3314967860 -0.3086419753 -0.2866034078 -0.2653810836
[9926] -0.2449750026 -0.2253851648 -0.2066115702 -0.1886542190 -0.1715131109
[9931] -0.1551882461 -0.1396796245 -0.1249872462 -0.1111111111 -0.0980512193
[9936] -0.0858075707 -0.0743801653 -0.0637690032 -0.0539740843 -0.0449954086
[9941] -0.0368329762 -0.0294867871 -0.0229568411 -0.0172431385 -0.0123456790
[9946] -0.0082644628 -0.0049994898 -0.0025507601 -0.0009182736 -0.0001020304
[9951] -0.0001020304 -0.0009182736 -0.0025507601 -0.0049994898 -0.0082644628
[9956] -0.0123456790 -0.0172431385 -0.0229568411 -0.0294867871 -0.0368329762
[9961] -0.0449954086 -0.0539740843 -0.0637690032 -0.0743801653 -0.0858075707
[9966] -0.0980512193 -0.1111111111 -0.1249872462 -0.1396796245 -0.1551882461
[9971] -0.1715131109 -0.1886542190 -0.2066115702 -0.2253851648 -0.2449750026
[9976] -0.2653810836 -0.2866034078 -0.3086419753 -0.3314967860 -0.3551678400
[9981] -0.3796551372 -0.4049586777 -0.4310784614 -0.4580144883 -0.4857667585
[9986] -0.5143352719 -0.5437200286 -0.5739210285 -0.6049382716 -0.6367717580
[9991] -0.6694214876 -0.7028874605 -0.7371696766 -0.7722681359 -0.8081828385
[9996] -0.8449137843 -0.8824609734 -0.9208244057 -0.9600040812 -1.0000000000
Create a contour plot using ggplot2
(r "p_contour <- ggplot(data, aes(x=x, y=y, z=z)) +
geom_contour() +
ggtitle('Contour Plot')")
Display the contour plot
(plot->svg (r "p_contour"))Create a filled contour plot using ggplot2
(r "p_filled_contour <- ggplot(data, aes(x=x, y=y, z=z)) +
geom_raster(aes(fill=z)) +
geom_contour(color='white') +
ggtitle('Filled Contour Plot') +
theme_minimal()")
Display the filled contour plot
(plot->svg (r "p_filled_contour"))2.3 Symbolic Caclulations by R
(r "D(expression(x^2, 'x'), 'x')")2 * x
(r "fx= expression(x^2 * sin(x), 'x')")expression(x^2 * sin(x), "x")
(r "D(fx, 'x')")2 * x * sin(x) + x^2 * cos(x)
Skipping the matrices section for now.
2.4 Simple Statistics
(r "x=rnorm(10)") [1] 1.40010706 -0.52672643 0.06978118 0.32484395 0.66363302 -0.27002348
[7] -0.82926688 -0.48165173 -0.06731342 0.20717587
(r "x") [1] 1.40010706 -0.52672643 0.06978118 0.32484395 0.66363302 -0.27002348
[7] -0.82926688 -0.48165173 -0.06731342 0.20717587
(r "mean(x)")[1] 0.04905591
(r "var(x)")[1] 0.4227239
(r "sd(x)")[1] 0.6501722
(r "median(x)")[1] 0.001233879
(r "quantile(x)") 0% 25% 50% 75% 100%
-0.829266884 -0.428744668 0.001233879 0.295426932 1.400107055
(r "range(x)")[1] -0.8292669 1.4001071
(r "max(x)")[1] 1.400107
(r "boxplot(x)")$stats
[,1]
[1,] -0.829266884
[2,] -0.481651729
[3,] 0.001233879
[4,] 0.324843951
[5,] 1.400107055
$n
[1] 10
$conf
[,1]
[1,] -0.4017235
[2,] 0.4041913
$out
numeric(0)
$group
numeric(0)
$names
[1] "1"
source: notebooks/climate_mathematics/chapter_2.clj