Spherical density estimation
Usage
# S3 method for class 'spherical'
density(x, ...)
density_calc(
x,
FUN = exponential_kamb,
n = 128L,
sigma = 3,
weights = NULL,
upper.hem = FALSE,
r = 1
)Arguments
- x
object of class
"Vec3","Line","Ray", or"Plane", where the rows are the observations and the columns are the coordinates.- ...
arguments passed to
density_calc()- FUN
density estimation function if
kamb=TRUE; one ofexponential_kamb()(the default), kamb_count, andschmidt_count().- n
integer. Grid size.
128by default.- sigma
numeric. Radius for Kamb circle used for counting. 3 by default.
- weights
(optional) numeric vector of length of
nrow(x). The relative weight to be applied to each input measurement. The array will be normalized to sum to 1, so absolute value of theweightsdo not affect the result. Defaults toNULL- upper.hem
logical. Whether the projection is shown for upper hemisphere (
TRUE) or lower hemisphere (FALSE, the default).- r
numeric. radius of stereonet circle
Examples
set.seed(20250411)
test <- rfb(100, mu = Line(120, 10), k = 5, A = diag(c(-1, 0, 1)))
density(x = test, n = 100, sigma = 3, weights = runif(100))
#> $x
#> [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
#>
#> $y
#> [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
#>
#> $density
#> [,1] [,2] [,3] [,4] [,5] [,6] [,7]
#> [1,] NA NA NA NA NA NA NA
#> [2,] NA NA NA NA NA NA NA
#> [3,] NA NA NA NA NA NA NA
#> [4,] NA NA NA NA NA NA NA
#> [5,] NA NA NA NA NA NA NA
#> [6,] NA NA NA NA NA NA NA
#> [7,] NA NA NA NA NA NA NA
#> [8,] NA NA NA NA NA NA NA
#> [9,] NA NA NA NA NA NA NA
#> [10,] NA NA NA NA NA NA NA
#> [11,] NA NA NA NA NA NA NA
#> [12,] NA NA NA NA NA NA NA
#> [13,] NA NA NA NA NA NA NA
#> [14,] NA NA NA NA NA NA NA
#> [15,] NA NA NA NA NA NA NA
#> [16,] NA NA NA NA NA NA NA
#> [17,] NA NA NA NA NA NA NA
#> [18,] NA NA NA NA NA NA NA
#> [19,] NA NA NA NA NA NA NA
#> [20,] NA NA NA NA NA NA NA
#> [21,] NA NA NA NA NA NA NA
#> [22,] NA NA NA NA NA NA NA
#> [23,] NA NA NA NA NA NA NA
#> [24,] NA NA NA NA NA NA NA
#> [25,] NA NA NA NA NA NA NA
#> [26,] NA NA NA NA NA NA NA
#> [27,] NA NA NA NA NA NA 0.08965782
#> [28,] NA NA NA NA NA NA 0.10396280
#> [29,] NA NA NA NA NA 0.13645864 0.11920441
#> [30,] NA NA NA NA NA 0.15184762 0.13465630
#> [31,] NA NA NA NA NA 0.16673915 0.14948328
#> [32,] NA NA NA NA 0.1948567 0.18035959 0.16280492
#> [33,] NA NA NA NA 0.2067149 0.19192837 0.17376686
#> [34,] NA NA NA 0.2291764 0.2161612 0.20072518 0.18161140
#> [35,] NA NA NA 0.2365972 0.2226473 0.20615410 0.18574030
#> [36,] NA NA NA 0.2411161 0.2257677 0.20779819 0.18576438
#> [37,] NA NA 0.2587407 0.2425335 0.2253056 0.20546007 0.18153645
#> [38,] NA NA 0.2595658 0.2408359 0.2212628 0.19918550 0.17316618
#> [39,] NA NA 0.2579703 0.2362165 0.2138742 0.18926971 0.16101745
#> [40,] NA NA 0.2543145 0.2290809 0.2036064 0.17624729 0.14569041
#> [41,] NA 0.2798474 0.2491405 0.2200382 0.1911407 0.16086856 0.12799158
#> [42,] NA 0.2785149 0.2431577 0.2098796 0.1773460 0.14406591 0.10889608
#> [43,] NA 0.2774863 0.2372186 0.1995484 0.1632420 0.12691427 0.08950632
#> [44,] NA 0.2776182 0.2322877 0.1901035 0.1499603 0.11058971 0.07101104
#> [45,] NA 0.2798370 0.2294063 0.1826807 0.1387041 0.09632981 0.05464804
#> [46,] NA 0.2851064 0.2296566 0.1784556 0.1307106 0.08539854 0.04167291
#> [47,] NA 0.2943957 0.2341279 0.1786091 0.1272187 0.07905740 0.03333507
#> [48,] NA 0.3086497 0.2438860 0.1842985 0.1294433 0.07854359 0.03086126
#> [49,] NA 0.3287630 0.2599481 0.1966340 0.1385547 0.08505482 0.03544582
#> [50,] NA 0.3555585 0.2832619 0.2166606 0.1556650 0.09973980 0.04824612
#> [51,] NA 0.3897693 0.3146900 0.2453452 0.1818184 0.12369265 0.07038126
#> [52,] NA 0.4320252 0.3549968 0.2835662 0.2179835 0.15794900 0.10293164
#> [53,] NA 0.4828401 0.4048380 0.3321046 0.2650473 0.20348186 0.14693719
#> [54,] NA 0.5426009 0.4647499 0.3916342 0.3238068 0.26119480 0.20339190
#> [55,] NA 0.6115550 0.5351368 0.4627100 0.3949570 0.33191065 0.27323289
#> [56,] NA 0.6897960 0.6162553 0.5457511 0.4790742 0.41635389 0.35732229
#> [57,] NA 0.7772449 0.7081940 0.6410188 0.5765917 0.51512534 0.45642069
#> [58,] NA 0.8736283 0.8108465 0.7485868 0.6877683 0.62866812 0.57115106
#> [59,] NA 0.9784508 0.9238799 0.8683043 0.8126474 0.75722410 0.70195272
#> [60,] NA 1.0909656 1.0466970 0.9997529 0.9510082 0.90078088 0.84902489
#> [61,] NA NA 1.1783950 1.1421962 1.1023096 1.05900981 1.01226051
#> [62,] NA NA 1.3177252 1.2945281 1.2656277 1.23119698 1.19117146
#> [63,] NA NA 1.4630560 1.4552225 1.4395940 1.41617054 1.38480818
#> [64,] NA NA 1.6123484 1.6222907 1.6223373 1.61222971 1.59167815
#> [65,] NA NA NA 1.7932564 1.8114390 1.81708311 1.80967017
#> [66,] NA NA NA 1.9651562 2.0039118 2.02780659 2.03599409
#> [67,] NA NA NA 2.1345760 2.1962128 2.24083218 2.26714752
#> [68,] NA NA NA NA 2.3843024 2.45198116 2.49892315
#> [69,] NA NA NA NA 2.5637568 2.65655271 2.72647029
#> [70,] NA NA NA NA NA 2.84947702 2.94442215
#> [71,] NA NA NA NA NA 3.02553509 3.14709597
#> [72,] NA NA NA NA NA 3.17963916 3.32876520
#> [73,] NA NA NA NA NA NA 3.48399262
#> [74,] NA NA NA NA NA NA 3.60800107
#> [75,] NA NA NA NA NA NA NA
#> [76,] NA NA NA NA NA NA NA
#> [77,] NA NA NA NA NA NA NA
#> [78,] NA NA NA NA NA NA NA
#> [79,] NA NA NA NA NA NA NA
#> [80,] NA NA NA NA NA NA NA
#> [81,] NA NA NA NA NA NA NA
#> [82,] NA NA NA NA NA NA NA
#> [83,] NA NA NA NA NA NA NA
#> [84,] NA NA NA NA NA NA NA
#> [85,] NA NA NA NA NA NA NA
#> [86,] NA NA NA NA NA NA NA
#> [87,] NA NA NA NA NA NA NA
#> [88,] NA NA NA NA NA NA NA
#> [89,] NA NA NA NA NA NA NA
#> [90,] NA NA NA NA NA NA NA
#> [91,] NA NA NA NA NA NA NA
#> [92,] NA NA NA NA NA NA NA
#> [93,] NA NA NA NA NA NA NA
#> [94,] NA NA NA NA NA NA NA
#> [95,] NA NA NA NA NA NA NA
#> [96,] NA NA NA NA NA NA NA
#> [97,] NA NA NA NA NA NA NA
#> [98,] NA NA NA NA NA NA NA
#> [99,] NA NA NA NA NA NA NA
#> [100,] NA NA NA NA NA NA NA
#> [,8] [,9] [,10] [,11] [,12] [,13]
#> [1,] NA NA NA NA NA NA
#> [2,] NA NA NA NA NA NA
#> [3,] NA NA NA NA NA NA
#> [4,] NA NA NA NA NA NA
#> [5,] NA NA NA NA NA NA
#> [6,] NA NA NA NA NA NA
#> [7,] NA NA NA NA NA NA
#> [8,] NA NA NA NA NA NA
#> [9,] NA NA NA NA NA NA
#> [10,] NA NA NA NA NA NA
#> [11,] NA NA NA NA NA NA
#> [12,] NA NA NA NA NA NA
#> [13,] NA NA NA NA NA NA
#> [14,] NA NA NA NA NA NA
#> [15,] NA NA NA NA NA NA
#> [16,] NA NA NA NA NA NA
#> [17,] NA NA NA NA NA NA
#> [18,] NA NA NA NA NA NA
#> [19,] NA NA NA NA NA 0.00000000
#> [20,] NA NA NA NA 0.000000000 0.00000000
#> [21,] NA NA NA 0.000000000 0.000000000 0.00000000
#> [22,] NA NA NA 0.000000000 0.000000000 0.00000000
#> [23,] NA NA 0.000000000 0.000000000 0.000000000 0.00000000
#> [24,] NA 0.019389805 0.000000000 0.000000000 0.000000000 0.00000000
#> [25,] NA 0.026346933 0.003398964 0.000000000 0.000000000 0.00000000
#> [26,] 0.0575642496 0.036022366 0.012312002 0.000000000 0.000000000 0.00000000
#> [27,] 0.0700293758 0.048001123 0.023552653 0.000000000 0.000000000 0.00000000
#> [28,] 0.0841470744 0.061654802 0.036392541 0.008504367 0.000000000 0.00000000
#> [29,] 0.0992178775 0.076175082 0.049945476 0.020727402 0.000000000 0.00000000
#> [30,] 0.1143958023 0.090630545 0.063234129 0.032494441 0.000000000 0.00000000
#> [31,] 0.1287500667 0.104037603 0.075264913 0.042839464 0.007595553 0.00000000
#> [32,] 0.1413376046 0.115436499 0.085102696 0.050884694 0.013774812 0.00000000
#> [33,] 0.1512776632 0.123964321 0.091938348 0.055900027 0.016995027 0.00000000
#> [34,] 0.1578208231 0.128918428 0.095143816 0.057348255 0.016815637 0.00000000
#> [35,] 0.1604063625 0.129805486 0.094311252 0.054913893 0.013011228 0.00000000
#> [36,] 0.1587037910 0.126373261 0.089274631 0.048515131 0.005575014 0.00000000
#> [37,] 0.1526364148 0.118624297 0.080114027 0.038299962 0.000000000 0.00000000
#> [38,] 0.1423867665 0.106812356 0.067144311 0.024628792 0.000000000 0.00000000
#> [39,] 0.1283854818 0.091424018 0.050891182 0.008046812 0.000000000 0.00000000
#> [40,] 0.1112865822 0.073148925 0.032058299 0.000000000 0.000000000 0.00000000
#> [41,] 0.0919330371 0.052842760 0.011489608 0.000000000 0.000000000 0.00000000
#> [42,] 0.0713168880 0.031487220 0.000000000 0.000000000 0.000000000 0.00000000
#> [43,] 0.0505381366 0.010150915 0.000000000 0.000000000 0.000000000 0.00000000
#> [44,] 0.0307660924 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000
#> [45,] 0.0132060467 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000
#> [46,] 0.0000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000
#> [47,] 0.0000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000
#> [48,] 0.0000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000
#> [49,] 0.0000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000
#> [50,] 0.0006417985 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000
#> [51,] 0.0213290986 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000
#> [52,] 0.0523725444 0.005794649 0.000000000 0.000000000 0.000000000 0.00000000
#> [53,] 0.0948614476 0.046744753 0.002181917 0.000000000 0.000000000 0.00000000
#> [54,] 0.1498647048 0.100087903 0.053626053 0.010175276 0.000000000 0.00000000
#> [55,] 0.2184202072 0.166949424 0.118377127 0.072400299 0.028881595 0.00000000
#> [56,] 0.3015162567 0.248431810 0.197639447 0.148862387 0.102015987 0.05720775
#> [57,] 0.4000638026 0.345585977 0.292592658 0.240857832 0.190376737 0.14137232
#> [58,] 0.5148586305 0.459371854 0.404351035 0.349644411 0.295353179 0.24184400
#> [59,] 0.6465329344 0.590607809 0.533910985 0.476387250 0.418268636 0.36009251
#> [60,] 0.7954960670 0.739908754 0.682086591 0.622091925 0.560311244 0.49747826
#> [61,] 0.9618647673 0.907613195 0.849433542 0.787525148 0.722451302 0.65516630
#> [62,] 1.1453839568 1.093700195 1.036162402 0.973124138 0.905346331 0.83402667
#> [63,] 1.3453403872 1.297698249 1.242043157 1.178896703 1.109236182 1.03452386
#> [64,] 1.5604731071 1.518589580 1.466304373 1.404315459 1.333831893 1.25659949
#> [65,] 1.7888868919 1.754715360 1.707532055 1.648211262 1.578203711 1.49955429
#> [66,] 2.0279773089 2.003689721 1.963575546 1.908672913 1.840675513 1.76193716
#> [67,] 2.2743786654 2.262333032 2.231470124 2.182962342 2.118734706 2.04145082
#> [68,] 2.5239482223 2.526637224 2.507388284 2.467456434 2.408968347 2.33488480
#> [69,] 2.7718010871 2.791777485 2.786633347 2.757628236 2.707037272 2.63808682
#> [70,] 3.0124094062 3.052184747 3.063689588 3.048080815 3.007700331 2.94598364
#> [71,] 3.2397761607 3.301691242 3.332341814 3.332646207 3.304899838 3.25266069
#> [72,] 3.4476875605 3.533756576 3.585873722 3.604559131 3.591916956 3.55150731
#> [73,] 3.6300386890 3.741773855 3.817347981 3.856710053 3.861601490 3.83543033
#> [74,] 3.7812152353 3.919444692 4.019961831 4.081974689 4.106674508 4.09713406
#> [75,] 3.8965011748 4.061199253 4.187460497 4.273607270 4.320094314 4.32945793
#> [76,] NA 4.162624511 4.314578096 4.425673583 4.495466948 4.52575651
#> [77,] NA 4.220852796 4.397463664 4.533488247 4.627472428 4.68029852
#> [78,] NA NA 4.434041016 4.594010750 4.712268598 4.78865417
#> [79,] NA NA NA 4.606148841 4.747827499 4.84803401
#> [80,] NA NA NA 4.570918390 4.734156816 4.85753882
#> [81,] NA NA NA NA 4.673363175 4.81828121
#> [82,] NA NA NA NA NA 4.73334695
#> [83,] NA NA NA NA NA NA
#> [84,] NA NA NA NA NA NA
#> [85,] NA NA NA NA NA NA
#> [86,] NA NA NA NA NA NA
#> [87,] NA NA NA NA NA NA
#> [88,] NA NA NA NA NA NA
#> [89,] NA NA NA NA NA NA
#> [90,] NA NA NA NA NA NA
#> [91,] NA NA NA NA NA NA
#> [92,] NA NA NA NA NA NA
#> [93,] NA NA NA NA NA NA
#> [94,] NA NA NA NA NA NA
#> [95,] NA NA NA NA NA NA
#> [96,] NA NA NA NA NA NA
#> [97,] NA NA NA NA NA NA
#> [98,] NA NA NA NA NA NA
#> [99,] NA NA NA NA NA NA
#> [100,] NA NA NA NA NA NA
#> [,14] [,15] [,16] [,17] [,18] [,19]
#> [1,] NA NA NA NA NA NA
#> [2,] NA NA NA NA NA NA
#> [3,] NA NA NA NA NA NA
#> [4,] NA NA NA NA NA NA
#> [5,] NA NA NA NA NA NA
#> [6,] NA NA NA NA NA NA
#> [7,] NA NA NA NA NA NA
#> [8,] NA NA NA NA NA NA
#> [9,] NA NA NA NA NA NA
#> [10,] NA NA NA NA NA NA
#> [11,] NA NA NA NA NA NA
#> [12,] NA NA NA NA NA NA
#> [13,] NA NA NA NA NA 0.00000000
#> [14,] NA NA NA NA 0.000000000 0.00000000
#> [15,] NA NA NA 0.00000000 0.000000000 0.00000000
#> [16,] NA NA 0.00000000 0.00000000 0.000000000 0.00000000
#> [17,] NA 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000
#> [18,] 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000
#> [19,] 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000
#> [20,] 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000
#> [21,] 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000
#> [22,] 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000
#> [23,] 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000
#> [24,] 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000
#> [25,] 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000
#> [26,] 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000
#> [27,] 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000
#> [28,] 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000
#> [29,] 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000
#> [30,] 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000
#> [31,] 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000
#> [32,] 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000
#> [33,] 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000
#> [34,] 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000
#> [35,] 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000
#> [36,] 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000
#> [37,] 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000
#> [38,] 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000
#> [39,] 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000
#> [40,] 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000
#> [41,] 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000
#> [42,] 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000
#> [43,] 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000
#> [44,] 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000
#> [45,] 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000
#> [46,] 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000
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#> [83,] 4.75577252 4.8719863 4.95714793 5.01406297 5.047153069 5.06200399
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#> [86,] NA NA NA 4.68080837 4.793497955 4.89082757
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#> [88,] NA NA NA NA NA 4.60502907
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#> [90,] NA NA NA NA NA NA
#> [91,] NA NA NA NA NA NA
#> [92,] NA NA NA NA NA NA
#> [93,] NA NA NA NA NA NA
#> [94,] NA NA NA NA NA NA
#> [95,] NA NA NA NA NA NA
#> [96,] NA NA NA NA NA NA
#> [97,] NA NA NA NA NA NA
#> [98,] NA NA NA NA NA NA
#> [99,] NA NA NA NA NA NA
#> [100,] NA NA NA NA NA NA
#> [,20] [,21] [,22] [,23] [,24] [,25]
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#> [2,] NA NA NA NA NA NA
#> [3,] NA NA NA NA NA NA
#> [4,] NA NA NA NA NA NA
#> [5,] NA NA NA NA NA NA
#> [6,] NA NA NA NA NA NA
#> [7,] NA NA NA NA NA NA
#> [8,] NA NA NA NA NA NA
#> [9,] NA NA NA NA 0.04034522 0.0204195
#> [10,] NA NA NA 0.008039683 0.00000000 0.0000000
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#> [61,] 0.23984476 0.20126910 0.16847353 0.140751453 0.11720456 0.0968568
#> [62,] 0.37857396 0.33560932 0.29908154 0.268210857 0.24197326 0.2192339
#> [63,] 0.54049857 0.49325191 0.45312338 0.419261411 0.39050980 0.3655617
#> [64,] 0.72682987 0.67553856 0.63206448 0.595489015 0.56452034 0.5376687
#> [65,] 0.93809239 0.88311322 0.83666180 0.797761692 0.76498628 0.7366556
#> [66,] 1.17394668 1.11573198 1.06676053 1.026012873 0.99193409 0.9626517
#> [67,] 1.43304314 1.37210499 1.32112320 1.279056977 1.24423682 1.2146022
#> [68,] 1.71292921 1.64979509 1.59731835 1.554466792 1.51947881 1.4901189
#> [69,] 2.01003092 1.94519682 1.89169513 1.848541579 1.81391524 1.7854293
#> [70,] 2.31972416 2.25361352 2.19946418 2.156389295 2.12255284 2.0954523
#> [71,] 2.63650237 2.56944097 2.51489516 2.472135377 2.43936682 2.4140197
#> [72,] 2.95423488 2.88645185 2.83162602 2.789254635 2.75765213 2.7342434
#> [73,] 3.26649669 3.19816020 3.14306218 3.101003702 3.07048683 3.0490053
#> [74,] 3.56693753 3.49822974 3.44282589 3.400911896 3.37126327 3.3515271
#> [75,] 3.84964855 3.78087829 3.72520261 3.683272049 3.65422437 3.6359510
#> [76,] 4.10948118 4.04122525 3.98552377 3.943563546 3.91493040 3.8978525
#> [77,] 4.34227653 4.27553221 4.22042751 4.178740797 4.15058131 4.1346011
#> [78,] 4.54497489 4.48129933 4.42795216 4.387333333 4.36013208 4.3454986
#> [79,] 4.71559280 4.65720050 4.60743973 4.569328069 4.54416385 4.5316489
#> [80,] 4.85307650 4.80286595 4.75925626 4.725837191 4.70450992 4.6955525
#> [81,] 4.95706135 4.91854703 4.88436694 4.858591137 4.84367572 4.8404639
#> [82,] 5.02758312 5.00471978 4.98383129 4.969328926 4.96413062 4.9695936
#> [83,] 5.06479555 5.06169611 5.05830124 5.059180934 5.06757723 5.0852678
#> [84,] 5.06874706 5.08931317 5.10760900 5.128147159 5.15431646 5.1881812
#> [85,] 5.03925945 5.08675966 5.13052119 5.174764789 5.22281939 5.2768675
#> [86,] 4.97593337 5.05257736 5.12471192 5.196033629 5.26959067 5.3474916
#> [87,] 4.87828529 4.98484873 5.08697528 5.187630967 5.28936781 5.3940185
#> [88,] 4.74599950 4.88155316 5.01366163 5.144405077 5.27565163 5.4087649
#> [89,] 4.57926189 4.74104921 4.90128949 5.061095788 5.22151546 5.3832790
#> [90,] NA 4.56262077 4.74725780 4.933196941 5.12059989 5.3094499
#> [91,] NA NA NA 4.757852935 4.96817150 5.1807130
#> [92,] NA NA NA NA 4.76211107 4.9932010
#> [93,] NA NA NA NA NA NA
#> [94,] NA NA NA NA NA NA
#> [95,] NA NA NA NA NA NA
#> [96,] NA NA NA NA NA NA
#> [97,] NA NA NA NA NA NA
#> [98,] NA NA NA NA NA NA
#> [99,] NA NA NA NA NA NA
#> [100,] NA NA NA NA NA NA
#> [,26] [,27] [,28] [,29] [,30] [,31]
#> [1,] NA NA NA NA NA NA
#> [2,] NA NA NA NA NA NA
#> [3,] NA NA NA NA NA NA
#> [4,] NA NA NA NA NA NA
#> [5,] NA NA NA NA NA NA
#> [6,] NA NA NA 0.219614239 0.22992978 0.2498093529
#> [7,] NA 0.13236734 0.12722114 0.130536029 0.14262920 0.1636001514
#> [8,] 0.067860040 0.05774218 0.05513004 0.060505401 0.07413599 0.0960586523
#> [9,] 0.006252231 0.00000000 0.00000000 0.005374304 0.02033622 0.0430438589
#> [10,] 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000 0.0007179003
#> [11,] 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000 0.0000000000
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#> [38,] 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000 0.0000000000
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#> [41,] 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000 0.0000000000
#> [42,] 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000 0.0000000000
#> [43,] 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000 0.0000000000
#> [44,] 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000 0.0000000000
#> [45,] 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000 0.0000000000
#> [46,] 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000 0.0000000000
#> [47,] 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000 0.0000000000
#> [48,] 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000 0.0000000000
#> [49,] 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000 0.0000000000
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#> [51,] 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000 0.0000000000
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#> [53,] 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000 0.0000000000
#> [54,] 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000 0.0000000000
#> [55,] 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000 0.0000000000
#> [56,] 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000 0.0000000000
#> [57,] 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000 0.0000000000
#> [58,] 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000 0.0000000000
#> [59,] 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000 0.0000000000
#> [60,] 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000 0.0000000000
#> [61,] 0.078759758 0.06207905 0.04615599 0.030542049 0.01500714 0.0000000000
#> [62,] 0.198872466 0.17988864 0.16147895 0.143082494 0.12439546 0.1053576285
#> [63,] 0.343107224 0.32196005 0.30115240 0.279994405 0.25809678 0.2353602321
#> [64,] 0.513418040 0.49037568 0.46738849 0.443618209 0.41857475 0.3921101263
#> [65,] 0.711032816 0.68649966 0.66169552 0.635611820 0.60763837 0.5775639686
#> [66,] 0.936197580 0.91071050 0.88460051 0.856664810 0.82615001 0.7927616901
#> [67,] 1.187948880 1.16215919 1.13539360 1.106230461 1.07374671 1.0375393180
#> [68,] 1.463949700 1.43858945 1.41193247 1.382314377 1.34861395 1.3102892067
#> [69,] 1.760425520 1.73625907 1.71054725 1.681362059 1.64735526 1.6078120454
#> [70,] 2.072232696 2.04999732 2.02608398 1.998285578 1.96500015 1.9253046634
#> [71,] 2.393080025 2.37342238 2.35211344 2.326659656 2.29518352 2.2565196020
#> [72,] 2.715906410 2.69932471 2.68131458 2.659099482 2.63051235 2.5941156733
#> [73,] 3.033394308 3.02019778 3.00601663 2.987807403 2.96311025 2.9301937681
#> [74,] 3.338573094 3.32887094 3.31885532 3.305246037 3.28530011 3.2569813501
#> [75,] 3.625443040 3.61917286 3.61347131 3.604865677 3.59035362 3.5675966273
#> [76,] 3.889534091 3.88653554 3.88515693 3.881789956 3.87321066 3.8567951348
#> [77,] 4.128308914 4.12844144 4.13134798 4.133351394 4.13105610 4.1215838795
#> [78,] 4.341330060 4.34462514 4.35186398 4.359372863 4.36364374 4.3615872471
#> [79,] 4.530137473 4.53696686 4.54882519 4.562114763 4.57327876 4.5790684594
#> [80,] 4.697822752 4.70905688 4.72621753 4.745850078 4.76441205 4.7785510758
#> [81,] 4.848334984 4.86546132 4.88913011 4.916085783 4.94285729 4.9660431299
#> [82,] 4.985601582 5.01077324 5.04274847 5.078510703 5.11470656 5.1479339301
#> [83,] 5.112587078 5.14857821 5.19123688 5.237805879 5.28508125 5.3296988408
#> [84,] 5.230434860 5.28049079 5.33667628 5.396492242 5.45689929 5.5145974775
#> [85,] 5.337835664 5.40542102 5.47823133 5.554002445 5.62985749 5.7025738686
#> [86,] 5.430740969 5.51920588 5.61169801 5.706144086 5.79981140 5.8895554217
#> [87,] 5.502492857 5.61469169 5.72953284 5.845071430 5.95868588 6.0672996198
#> [88,] 5.544382231 5.68228923 5.82139645 5.959809761 6.09497335 6.2238594482
#> [89,] 5.546584870 5.71095363 5.87516701 6.037293436 6.19478755 6.3446437721
#> [90,] 5.499369954 5.68947885 5.87830974 6.063800700 6.24335450 6.4139547900
#> [91,] 5.394436369 5.60795132 5.81943630 6.026609085 6.22675517 6.4168091887
#> [92,] 5.226212500 5.45918427 5.68986136 5.915664044 6.13369772 6.3408065081
#> [93,] 4.992955428 5.23995444 5.48496352 5.725052801 5.95709525 6.1778037204
#> [94,] NA 4.95188307 5.20518110 5.454101763 5.69525417 5.9251865650
#> [95,] NA NA NA 5.107961250 5.35252987 5.5865859912
#> [96,] NA NA NA NA NA NA
#> [97,] NA NA NA NA NA NA
#> [98,] NA NA NA NA NA NA
#> [99,] NA NA NA NA NA NA
#> [100,] NA NA NA NA NA NA
#> [,32] [,33] [,34] [,35] [,36] [,37]
#> [1,] NA NA NA NA NA NA
#> [2,] NA NA NA NA NA NA
#> [3,] NA NA NA NA NA 0.99829263
#> [4,] NA NA 0.61261819 0.67285442 0.74239330 0.82030371
#> [5,] 0.38781450 0.42683736 0.47549450 0.53313302 0.59893762 0.67196338
#> [6,] 0.27917484 0.31773030 0.36497130 0.42020412 0.48257384 0.55110070
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#> [43,] 0.491521828 0.609708806 0.72722880 0.83928782 0.940868555 1.02717072
#> [44,] 0.453314149 0.568615786 0.68361585 0.79346970 0.893049445 0.97739923
#> [45,] 0.418275236 0.530350356 0.64250935 0.74990324 0.847340026 0.92974726
#> [46,] 0.385318689 0.493824641 0.60280865 0.70746019 0.802569080 0.88298883
#> [47,] 0.353628325 0.458242021 0.56372561 0.66534472 0.757914672 0.83625868
#> [48,] 0.322645579 0.423083981 0.52477127 0.62308101 0.712893669 0.78904517
#> [49,] 0.292046528 0.388084866 0.48572878 0.58048496 0.667333518 0.74116362
#> [50,] 0.261712601 0.353198843 0.44661684 0.53762478 0.621331040 0.69271465
#> [51,] 0.231698022 0.318562457 0.40764746 0.49477450 0.575202514 0.64403227
#> [52,] 0.202195973 0.284455179 0.36918091 0.45236354 0.529428669 0.59562528
#> [53,] 0.173504679 0.251259514 0.33167977 0.41092497 0.484597539 0.54811575
#> [54,] 0.145994013 0.219421677 0.29566359 0.37104413 0.441347588 0.50217729
#> [55,] 0.120072964 0.189413527 0.26166522 0.33330950 0.400313216 0.45847584
#> [56,] 0.096158280 0.161696407 0.23018984 0.29826695 0.362074549 0.41761534
#> [57,] 0.074644699 0.136687643 0.20167785 0.26637914 0.327113425 0.38009069
#> [58,] 0.055877444 0.114730655 0.17647279 0.23799139 0.295777479 0.34625019
#> [59,] 0.040127821 0.096069805 0.15479578 0.21330589 0.268254139 0.31626943
#> [60,] 0.027572924 0.080831209 0.13672772 0.19236551 0.244556138 0.29013833
#> [61,] 0.018280519 0.069010693 0.12220062 0.17504864 0.224519670 0.26766236
#> [62,] 0.012200082 0.060469888 0.11099898 0.16107565 0.207815670 0.24847790
#> [63,] 0.009160825 0.054941125 0.10277141 0.15002702 0.193973767 0.23208112
#> [64,] 0.008877252 0.052041275 0.09705241 0.14137236 0.182417465 0.21786797
#> [65,] 0.010962399 0.051294107 0.09329304 0.13450827 0.172507966 0.20518234
#> [66,] 0.014948439 0.052160008 0.09089854 0.12880249 0.163593077 0.19336790
#> [67,] 0.020313727 0.054071176 0.08927010 0.12364047 0.155056789 0.18181882
#> [68,] 0.026514632 0.056469597 0.08784714 0.11847009 0.146364635 0.17002413
#> [69,] 0.033019816 0.058844500 0.08614603 0.11283993 0.137099937 0.15760070
#> [70,] 0.039343808 0.060765398 0.08379094 0.10642657 0.126986565 0.14431106
#> [71,] 0.045076218 0.061906754 0.08053284 0.09904716 0.115895020 0.13006339
#> [72,] 0.049902704 0.062060528 0.07625333 0.09065490 0.103830364 0.11489343
#> [73,] 0.053614080 0.061133865 0.07095171 0.08131687 0.090902802 0.09893030
#> [74,] 0.056100997 0.059130677 0.06471552 0.07117605 0.077284185 0.08235076
#> [75,] 0.057333308 0.056118145 0.05767740 0.06040203 0.063156194 0.06532842
#> [76,] 0.057325636 0.052181691 0.04996356 0.04913711 0.048657910 0.04798618
#> [77,] 0.056093407 0.047374649 0.04164164 0.03744639 0.033841602 0.03036023
#> [78,] 0.053606243 0.041671005 0.03267705 0.02528110 0.018645312 0.01238291
#> [79,] 0.049747647 0.034930687 0.02290710 0.01246348 0.002889071 NA
#> [80,] 0.044290557 0.026886458 0.01204059 0.00000000 0.000000000 NA
#> [81,] 0.036897299 0.017159140 0.00000000 0.00000000 NA NA
#> [82,] 0.027149325 0.005303699 0.00000000 NA NA NA
#> [83,] 0.014607197 0.000000000 NA NA NA NA
#> [84,] 0.000000000 NA NA NA NA NA
#> [85,] NA NA NA NA NA NA
#> [86,] NA NA NA NA NA NA
#> [87,] NA NA NA NA NA NA
#> [88,] NA NA NA NA NA NA
#> [89,] NA NA NA NA NA NA
#> [90,] NA NA NA NA NA NA
#> [91,] NA NA NA NA NA NA
#> [92,] NA NA NA NA NA NA
#> [93,] NA NA NA NA NA NA
#> [94,] NA NA NA NA NA NA
#> [95,] NA NA NA NA NA NA
#> [96,] NA NA NA NA NA NA
#> [97,] NA NA NA NA NA NA
#> [98,] NA NA NA NA NA NA
#> [99,] NA NA NA NA NA NA
#> [100,] NA NA NA NA NA NA
#> [,92] [,93] [,94] [,95] [,96] [,97] [,98]
#> [1,] NA NA NA NA NA NA NA
#> [2,] NA NA NA NA NA NA NA
#> [3,] NA NA NA NA NA NA NA
#> [4,] NA NA NA NA NA NA NA
#> [5,] NA NA NA NA NA NA NA
#> [6,] NA NA NA NA NA NA NA
#> [7,] NA NA NA NA NA NA NA
#> [8,] NA NA NA NA NA NA NA
#> [9,] NA NA NA NA NA NA NA
#> [10,] NA NA NA NA NA NA NA
#> [11,] NA NA NA NA NA NA NA
#> [12,] NA NA NA NA NA NA NA
#> [13,] NA NA NA NA NA NA NA
#> [14,] NA NA NA NA NA NA NA
#> [15,] NA NA NA NA NA NA NA
#> [16,] NA NA NA NA NA NA NA
#> [17,] NA NA NA NA NA NA NA
#> [18,] NA NA NA NA NA NA NA
#> [19,] NA NA NA NA NA NA NA
#> [20,] NA NA NA NA NA NA NA
#> [21,] NA NA NA NA NA NA NA
#> [22,] NA NA NA NA NA NA NA
#> [23,] NA NA NA NA NA NA NA
#> [24,] 4.13713278 NA NA NA NA NA NA
#> [25,] 3.92568740 NA NA NA NA NA NA
#> [26,] 3.70170215 3.77666209 NA NA NA NA NA
#> [27,] 3.46985996 3.55176698 3.59419673 NA NA NA NA
#> [28,] 3.23480634 3.32121419 3.37225336 NA NA NA NA
#> [29,] 3.00102231 3.08982969 3.14689144 3.1657117 NA NA NA
#> [30,] 2.77269058 2.86212334 2.92289408 2.9489820 NA NA NA
#> [31,] 2.55355877 2.64214443 2.70459315 2.7354582 NA NA NA
#> [32,] 2.34680913 2.43335130 2.49573115 2.5291362 2.5295153 NA NA
#> [33,] 2.15494747 2.23850393 2.29935079 2.3333358 2.3369459 NA NA
#> [34,] 1.97972421 2.05958905 2.11771868 2.1506179 2.1553637 2.1299448 NA
#> [35,] 1.82209751 1.89778560 1.95228901 1.9827425 1.9868364 1.9630646 NA
#> [36,] 1.68224400 1.75347518 1.80371056 1.8306685 1.8326514 1.8087022 NA
#> [37,] 1.55961665 1.62629728 1.67187645 1.6945955 1.6933462 1.6677403 1.6181747
#> [38,] 1.45304452 1.51524448 1.55601280 1.5740432 1.5687766 1.5403913 1.4897856
#> [39,] 1.36086415 1.41878924 1.45479839 1.4679614 1.4582146 1.4262814 1.3735745
#> [40,] 1.28107046 1.33503076 1.36650537 1.3748622 1.3604695 1.3245582 1.2690491
#> [41,] 1.21147355 1.26184970 1.28914959 1.2929632 1.2740214 1.2340127 1.1753419
#> [42,] 1.14984919 1.19705886 1.22063933 1.2203318 1.1971585 1.1532063 1.0913255
#> [43,] 1.09407242 1.13853952 1.15891243 1.1550204 1.1281078 1.0805948 1.0157273
#> [44,] 1.04222705 1.08435572 1.10205389 1.0951858 1.0651528 1.0146418 0.9472359
#> [45,] 0.99268682 1.03284169 1.04838866 1.0391851 1.0067313 0.9539157 0.8845949
#> [46,] 0.94416681 0.98266034 0.99654678 0.9856466 0.9515101 0.8971655 0.8266773
#> [47,] 0.89574660 0.93283326 0.94550049 0.9335137 0.8984341 0.8433740 0.7725408
#> [48,] 0.84686796 0.88274451 0.89457490 0.8820626 0.8467505 0.7917871 0.7214606
#> [49,] 0.79731137 0.83212185 0.84343518 0.8308958 0.7960097 0.7419209 0.6729415
#> [50,] 0.74715570 0.78099948 0.79205393 0.7799159 0.7460445 0.6935477 0.6267097
#> [51,] 0.69672575 0.72966690 0.74066321 0.7292817 0.6969332 0.6466652 0.5826887
#> [52,] 0.64653176 0.67860821 0.68969546 0.6793532 0.6489486 0.6014516 0.5409611
#> [53,] 0.59720468 0.62843596 0.63971780 0.6306278 0.6024987 0.5582117 0.5017208
#> [54,] 0.54943078 0.57982347 0.59136382 0.5836735 0.5580631 0.5173182 0.4652204
#> [55,] 0.50388860 0.53343924 0.54526701 0.5390632 0.5161296 0.4791524 0.4317174
#> [56,] 0.46119125 0.48988691 0.50199965 0.4973139 0.4771356 0.4440490 0.4014241
#> [57,] 0.42183684 0.44965386 0.46202056 0.4588348 0.4414179 0.4122490 0.3744648
#> [58,] 0.38616951 0.41307134 0.42563494 0.4238877 0.4091739 0.3838638 0.3508435
#> [59,] 0.35435336 0.38028846 0.39296862 0.3925617 0.3804385 0.3588529 0.3304244
#> [60,] 0.32636078 0.35126157 0.36395825 0.3647643 0.3550748 0.3370170 0.3129266
#> [61,] 0.30197612 0.32575971 0.33835787 0.3402284 0.3327824 0.3180056 0.2979324
#> [62,] 0.28081436 0.30338559 0.31576107 0.3185345 0.3131185 0.3013382 0.2849086
#> [63,] 0.26235354 0.28361011 0.29563628 0.2991462 0.2955324 0.2864369 0.2732379
#> [64,] 0.24597813 0.26581747 0.27737193 0.2814533 0.2794071 0.2726664 0.2622565
#> [65,] 0.23102963 0.24935636 0.26032681 0.2648209 0.2641050 0.2593762 NA
#> [66,] 0.21685951 0.23359237 0.24388042 0.2486365 0.2490123 0.2459433 NA
#> [67,] 0.20287937 0.21795609 0.22747812 0.2323517 0.2335779 0.2318080 NA
#> [68,] 0.18860288 0.20198174 0.21066622 0.2155146 0.2173429 NA NA
#> [69,] 0.17367484 0.18533228 0.19311354 0.1977883 0.1999581 NA NA
#> [70,] 0.15788416 0.16780814 0.17461733 0.1789559 NA NA NA
#> [71,] 0.14115883 0.14933908 0.15509391 0.1589120 NA NA NA
#> [72,] 0.12354395 0.12996055 0.13455603 0.1376434 NA NA NA
#> [73,] 0.10516558 0.10977868 0.11308153 NA NA NA NA
#> [74,] 0.08618603 0.08892945 0.09077867 NA NA NA NA
#> [75,] 0.06675736 0.06753906 NA NA NA NA NA
#> [76,] 0.04698130 NA NA NA NA NA NA
#> [77,] 0.02688264 NA NA NA NA NA NA
#> [78,] NA NA NA NA NA NA NA
#> [79,] NA NA NA NA NA NA NA
#> [80,] NA NA NA NA NA NA NA
#> [81,] NA NA NA NA NA NA NA
#> [82,] NA NA NA NA NA NA NA
#> [83,] NA NA NA NA NA NA NA
#> [84,] NA NA NA NA NA NA NA
#> [85,] NA NA NA NA NA NA NA
#> [86,] NA NA NA NA NA NA NA
#> [87,] NA NA NA NA NA NA NA
#> [88,] NA NA NA NA NA NA NA
#> [89,] NA NA NA NA NA NA NA
#> [90,] NA NA NA NA NA NA NA
#> [91,] NA NA NA NA NA NA NA
#> [92,] NA NA NA NA NA NA NA
#> [93,] NA NA NA NA NA NA NA
#> [94,] NA NA NA NA NA NA NA
#> [95,] NA NA NA NA NA NA NA
#> [96,] NA NA NA NA NA NA NA
#> [97,] NA NA NA NA NA NA NA
#> [98,] NA NA NA NA NA NA NA
#> [99,] NA NA NA NA NA NA NA
#> [100,] NA NA NA NA NA NA NA
#> [,99] [,100]
#> [1,] NA NA
#> [2,] NA NA
#> [3,] NA NA
#> [4,] NA NA
#> [5,] NA NA
#> [6,] NA NA
#> [7,] NA NA
#> [8,] NA NA
#> [9,] NA NA
#> [10,] NA NA
#> [11,] NA NA
#> [12,] NA NA
#> [13,] NA NA
#> [14,] NA NA
#> [15,] NA NA
#> [16,] NA NA
#> [17,] NA NA
#> [18,] NA NA
#> [19,] NA NA
#> [20,] NA NA
#> [21,] NA NA
#> [22,] NA NA
#> [23,] NA NA
#> [24,] NA NA
#> [25,] NA NA
#> [26,] NA NA
#> [27,] NA NA
#> [28,] NA NA
#> [29,] NA NA
#> [30,] NA NA
#> [31,] NA NA
#> [32,] NA NA
#> [33,] NA NA
#> [34,] NA NA
#> [35,] NA NA
#> [36,] NA NA
#> [37,] NA NA
#> [38,] NA NA
#> [39,] NA NA
#> [40,] NA NA
#> [41,] 1.1008749 NA
#> [42,] 1.0148040 NA
#> [43,] 0.9371847 NA
#> [44,] 0.8669626 NA
#> [45,] 0.8030904 NA
#> [46,] 0.7445999 NA
#> [47,] 0.6906560 NA
#> [48,] 0.6405915 NA
#> [49,] 0.5939232 NA
#> [50,] 0.5503484 NA
#> [51,] 0.5097267 NA
#> [52,] 0.4720489 NA
#> [53,] 0.4373957 NA
#> [54,] 0.4058919 NA
#> [55,] 0.3776597 NA
#> [56,] 0.3527745 NA
#> [57,] 0.3312277 NA
#> [58,] 0.3128988 NA
#> [59,] 0.2975403 NA
#> [60,] 0.2847744 NA
#> [61,] NA NA
#> [62,] NA NA
#> [63,] NA NA
#> [64,] NA NA
#> [65,] NA NA
#> [66,] NA NA
#> [67,] NA NA
#> [68,] NA NA
#> [69,] NA NA
#> [70,] NA NA
#> [71,] NA NA
#> [72,] NA NA
#> [73,] NA NA
#> [74,] NA NA
#> [75,] NA NA
#> [76,] NA NA
#> [77,] NA NA
#> [78,] NA NA
#> [79,] NA NA
#> [80,] NA NA
#> [81,] NA NA
#> [82,] NA NA
#> [83,] NA NA
#> [84,] NA NA
#> [85,] NA NA
#> [86,] NA NA
#> [87,] NA NA
#> [88,] NA NA
#> [89,] NA NA
#> [90,] NA NA
#> [91,] NA NA
#> [92,] NA NA
#> [93,] NA NA
#> [94,] NA NA
#> [95,] NA NA
#> [96,] NA NA
#> [97,] NA NA
#> [98,] NA NA
#> [99,] NA NA
#> [100,] NA NA
#>
#> attr(,"class")
#> [1] "list" "sph_density"