centering
wheel:
draggable
plot2d
Ver.3
Ver.2
Ver.1
Ver.0
0digit
1digit
2digit
3digit
4digit
5digit
6digit
7digit
8digit
9digit
|
last:
y:
decimal
round-off-0digit
round-off-1digit
round-off-2digit
round-off-3digit
round-off-4digit
round-off-5digit
round-off-6digit
round-off-7digit
5
10
15
20
25
30
35
40
45
50
x:
decimal
round-off-0digit
round-off-1digit
round-off-2digit
round-off-3digit
round-off-4digit
round-off-5digit
round-off-6digit
round-off-7digit
5
10
15
20
25
30
35
40
45
50
test case
a*x
pow
-2
ln
Nrshift
sin
-2
-3
circle
cone
spiral
tan
sinh
csch
asin
asinh
atanh
acsch
acoth
-c
incircle
-2
finv
-2
-3
catenary
sigmoid
clothoid
trochoid
-epi
-hypo
cycloid
-asteroid
-cardioid
-deltoid
crystal
-2
-3
-projection
+cut
Bruijn
-tile
-2
-3
-4
Erdős
-2
-3
-4
-pairs
Gielis
Fay
-2
Lissajous
rose
heart
cherry
-2
clover
-2
lemniscate
-abs
-pi
polar
-2
-3
poly
star
-2
-3
-4
-golden
-5
root2
-x
fraction
-pi
-e
-golden
-silver
-bronze
Napier
Fibonacci
golden
-decagon
-triangle
-p
-sw=0
=1
=2
-2
-3
-4
-5
-5n
-6
-6n
-gnomon
-p
-sw=0
=1
=2
-2
-3
-4
-5
-5n
-6
-7
-7n
-rectangle
-carpet
-2
-3
sum
prod
integral
-2
-io()
Kahaner
-2
-3
-4
-5
-6
-7
-8
-9
-10
-real
-comp
-2
F
E
Pi
Si
Shi
Ci
Chi
Ei
li
E0
E1
-Ein
E2
E3
differential
-2
-do(,1)
-do(,3)
calculus
-2
Maclaurin
-2
-3
-ln
Taylor
-ln
Fourier
-ω*2
-ω*3
-sin
-ω*2
-ω*3
-cos
-ω*2
-ω*3
-sawtooth
-sym
-triangle
-sym
-square
-sym
DFT
IDFT
recurrence
-2
-3
mod
N-ary
Mandelbrot
Julia
BShip
recursive
-2
Cantor
Takagi-Landsberg
Weierstrass
Dirichlet
Dirac
-DE
Heaviside
Seki-Aitken
-e
-zeta
-err
-2
-err
-3
-err
-4
-err
-5
-err
-6
-err
-7
-err
Seki-Bernoulli
-Bn
-poly
-Euler
-poly
-gf
Faulhaber
-mod
Apéry
zeta_p
Euler
divisor
phi(n)
penta
sphere
residue
-gamma
-ac
-1/zeta
arg
-gamma
dlog
Bessel
Jn
-z
-2
-Hansen
-z
-2
-Poisson
-z
-2
-_t45
-gamma
-z
-2
Yn
Ya
-gamma
-z
-2
-Schläfli
Ia
Ka
-_t45
jn
-Whittaker
yn
Airy
-_t45
-z
-2
-3
-4
-5
heat
-2
Collatz
3n-1
quality
-lim
-max
-num
-n'
-ε'
-L
pi_(x)
o(x)
-real
Goldbach
Mertens
Fermat
-n=3
=4
=5
=7
=11
=13
=17
=19
-little
Frey-Hellegouarch
Szpiro
Weierstrass-form
elliptic
-add
-2
-3
-4
-5
-O
-2
-3
-4
-5
-scalar
-p
-aff
-Np
-ap
-Fp
-an
-BSD
-je*4
-L
-je*4
-Aitken
-an
zeros
-G
-aff
-bp
-2
-aff
-bp
-3
-aff
-bp
=G+
-4
-aff
-bp
-5
-6
-7
-8
-9
-bp
vacuum
-V4
-real(E4')
-spurious-residual
-convergence-speed
-|D|
-imag(E4')
-E4'→0@cusp
-ZPE4
-ZPE10
-s_pq
-1/s_pq
-DOS
-modular-X
Hardy-Littlewood⇒Polignac
-pin_(x)
Lambert
-2
-3
-4
-5
-cusp
Klein-j(τ)
-theta1k
-j(n+i)=1728
-E2k
Eisenstein
-2
-3
-4
-5
-cusp
-E2
-ra
-2
-3
-4
-5
Jacobi
-2
-3
-4
-5
-cusp
-g
-pendulum
-theta
→-1/τ
-identity
-z=pi/4
-s=i
-elliptic
-2
-z
Weierstrass-P
Dedekind
-2
Ramanujan
-2
-tau
genus-X0
genus-X
Klein-j
McKay-Thompson-t2a
Möbius
zeta
-2
-3
-f1
-f2
-ac
eta
-2
-3
-ac
-zero
-z
completed
-ex
Riemann
-z
-obvious
-zero
-z
-EM
-2
-abs
-2
-x=1
-xi
-2
-x
-2
-f(x)
-z
-g(x)
-z
-ex
-p
-x
-n
-ave
-2
-diff
-2
-sym
-2
-3
-4
-5
-6
-xi
-x
-2
-3
-z
-4
-5
-6
-7
-z
-7'
-z
-7"
-z
-8
-z
-9
-z
-9"
-z
-zero
-z
-7
-x=1
-8
-x=1
-9
-x=1
-y
beta
-ac
-x
gammai
gamma
-f
-ac
-inf
-ref
-x
digamma
-psi
BD
GD
-old
CD
-old
ED
Nukiyama-Tanasawa
-fN
Rosin-Rammler
-fN
-d32_old
-fN
Weibull
Rayleigh
Fréchet
Pareto
Zipf
power-law
LD
Laplace
Poisson
Cauchy
Planck
-frequency
Compton
BEC
Bose-Einstein
Maxwell-Boltzmann
MD
Fermi-Dirac
BMF
Legendre
Laguerre
Hermite
Chebyshev
Gegenbauer
Stirling
SND
-log
P(x)
erf(x)
erfc(x)
cSND
cP(z)
cP(r)
w(z)
rand
rand_table
rand_Pinv
leastsq
Lambert
Runge
Rump
Monte
bino
prob
state
methods
-Order
Newton-Raphson
-2
-3
-4
rainbow
MIDI
wave
-rms
-overtone
-interpolation
fade_o1.
_o1
_o2
ADSR
E(M)
M(E)
stress
-(step,ns)
BMI
ODE-solver
-v
-ext
-v
-stiff
-2
-PID
-out
-_t12
-_t23
-_t45
pendulum
-_t
-_t12
-_t23
-_t45
-t
-w
-2
-3
-physical
-_t
-_t12
-_t23
-_t45
-t
-w
-2
-3
galaxy-rotation-problem
-r_bulge*2
-Milky
-20kpc
-M_halo/5
+lambda_dB/5
-M31
-DMDG
-SLAB
3body
-m1
-r_eps
-dt
-dt/4
-sym
-2
-4body
-dt
-dt/4
-sym
-2
-5body
-dt
-dt/4
-sym
-2
-1r
-2r
-_t5
-_t1
-_t2
-_t3
-_t12
-_t23
-_t45
-_t0
-N=5
-sym
=7
-sym
=9
-sym
-_t12
-_t23
-_t45
=11
-sym
=13
-sym
-_t12
-_t23
-_t45
-_t0
period
orbit
-_o
-_t5
-_t2
-moon
-3body
-(t,r)
-10cycle
-kdrm=0.36
=1
=1.2
-(t,r)
-_o
-_t5
-_t2
physics
-dt/10
-ODE
logistic
-dt/10
Lorenz
-beta/2
-dt/10
Kepler
-a*2
billiard
-laminar
-v
-w
-long
-w
-Cd*10
-w
baseball
-laminar
-z
-Gamma*2
-tMagnus/4
-tMagnus*5/4
-Cf=1
-v
-w
-z_u
-s
-Gamma*300
BB
-laminar
-v
-w
beam-I
-delta
-SFD
-BMD
-2
-3
-4
circuit
seriRLC
-reso
-2
-3
-4
paraRLC
-reso
-2
-3
-4
switching
-IGBT
-fon/off
-4retry
-2
-duty
-load
Arrhenius
Butler
-ce1
-ce2
R0
R1
OCP
EIS
-IV
solar
-W
-2
-3
cell0d
-C*10
-Tout
-Tin
-Trise
-charge
-ce2
-cse2
-heavy
-Tout
-Tin
-Trise
-AS
-discharge
-ce2
-cse2
-heavy
-Tout
-Tin
-Trise
-AS
-pulse_cd Ta=-30
=-15
=0
=15
=30
=45
=60
-4csv
-pulse_dc Ta=-30
=-15
=0
=15
=30
=45
=60
-4csv
Carnot
-TS
-2
-TS
Otto
-TS
Diesel
-TS
Paris
-span
CO2
-2
Milankovitch
system
sea
-Tc
=100
=500
=900
=900
=999
-2
-3
-mod
-2
heat0d
GHG
-2
glacial
-2
-3
Toba
Yucatan
heat1d
-(ny,T)
Dyson
-0.7B
-2.3B
-2.9B
Friedmann
-k=0
-dR/dt
-quality
-phalf
→nhalf
-Collatz
-abc
-scale
-tunnel
-d
-Siegel
-o(x)
-Skewes
-f(t)
-q_eff
-d
-pilot
-L∞
-Shannon
-d=2
-Szpiro
-C_q
-Mordell
-AD
-capa_eff
-Nsol
-α
-ZPE
-capa0
-P≠NP
Schrödinger3d-center
-4th
-imag
-4th
-z
-4th
-abs
-4th
-y
-4th
-imag
-4th
-z
-4th
-abs
-4th
-z
-4th
-imag
-4th
-z
-4th
-abs
-4th
-side1
-4th
-imag
-4th
-z
-4th
-abs
-4th
-y
-4th
-imag
-4th
-z
-4th
-abs
-4th
-z
-4th
-imag
-4th
-z
-4th
-abs
-4th
-side2
-4th
-imag
-4th
-z
-4th
-abs
-4th
-y
-4th
-imag
-4th
-z
-4th
-abs
-4th
-z
-4th
-imag
-4th
-z
-4th
-abs
-4th
Schrödinger2d-center
-4th
-imag
-4th
-z
-4th
-abs
-4th
-y
-4th
-imag
-4th
-z
-4th
-abs
-4th
-side1
-4th
-imag
-4th
-z
-4th
-abs
-4th
-y
-4th
-imag
-4th
-z
-4th
-abs
-4th
-side2
-4th
-imag
-4th
-z
-4th
-abs
-4th
-y
-4th
-imag
-4th
-z
-4th
-abs
-4th
Schrödinger1d
-4th
-imag
-4th
-z
-4th
-abs
-4th
-Gauss
-4th
-imag
-4th
-z
-4th
-abs
-4th
-2
-4th
-imag
-4th
-z
-4th
-abs
-4th
-3
-4th
-imag
-4th
-z
-4th
-abs
-4th
-4
-4th
-imag
-4th
-z
-4th
-abs
-4th
-5
-4th
-imag
-4th
-z
-4th
-abs
-4th
-6
-4th
-imag
-4th
-z
-4th
-abs
-4th
-7
-4th
-imag
-4th
-z
-4th
-abs
-4th
-8
-4th
-imag
-4th
-z
-4th
-abs
-4th
-9
-4th
-imag
-4th
-z
-4th
-abs
-4th
-10
-4th
-imag
-4th
-z
-4th
-abs
-4th
-11
-4th
-imag
-4th
-z
-4th
-abs
-4th
-V=0
-4th
-imag
-4th
-z
-4th
-abs
-4th
-dx/2
-4th
-imag
-4th
-z
-4th
-abs
-4th
-Gauss
-4th
-imag
-4th
-z
-4th
-abs
-4th
-tunnel
-4th
-imag
-4th
-z
-4th
-abs
-4th
-step/8
-4th
-imag
-4th
-z
-4th
-abs
-4th
-V0*2
-4th
-imag
-4th
-z
-4th
-abs
-4th
-step/8
-4th
-imag
-4th
-z
-4th
-abs
-4th
-V0*4
-4th
-imag
-4th
-z
-4th
-abs
-4th
-step/8
-4th
-imag
-4th
-z
-4th
-abs
-4th
-periodic-cos
-4th
-imag
-4th
-z
-4th
-abs
-4th
-periodic-exp
-4th
-imag
-4th
-z
-4th
-abs
-4th
-V(x,t)-cos(fV=10)
-4th
-imag
-4th
-z
-4th
-abs
-4th
-fV=-10
-4th
-imag
-4th
-z
-4th
-abs
-4th
-fV=-1 -> breaking
-4th
-imag
-4th
-z
-4th
-abs
-4th
-fV=-0.1
-4th
-imag
-4th
-z
-4th
-abs
-4th
-fV=-0.01 -> localization
-4th
-imag
-4th
-z
-4th
-abs
-4th
-fV=0.01,V0=0
-4th
-imag
-4th
-z
-4th
-abs
-4th
-V(x,t)-exp(fV=10)
-4th
-imag
-4th
-z
-4th
-abs
-4th
-fV=-10
-4th
-imag
-4th
-z
-4th
-abs
-4th
-fV=-1 -> breaking
-4th
-imag
-4th
-z
-4th
-abs
-4th
-fV=-0.1
-4th
-imag
-4th
-z
-4th
-abs
-4th
-fV=-0.01 -> localization
-4th
-imag
-4th
-z
-4th
-abs
-4th
-fV=0.01,V0=0
-4th
-imag
-4th
-z
-4th
-abs
-4th
Gross-Pitaevskii
-4th
-imag
-4th
-z
-4th
-abs
-4th
-Gauss
-4th
-imag
-4th
-z
-4th
-abs
-4th
-V=0
-4th
-imag
-4th
-z
-4th
-abs
-4th
(φ,A)-fA=1
-4th
-imag
-4th
-z
-4th
-abs
-4th
-Gauss
-4th
-imag
-4th
-z
-4th
-abs
-4th
-fA=0.1
-4th
-imag
-4th
-z
-4th
-abs
-4th
-fA=0.01 -> asymmetry
-4th
-imag
-4th
-z
-4th
-abs
-4th
-fA=0.001
-4th
-imag
-4th
-z
-4th
-abs
-4th
-fA=0
-4th
-imag
-4th
-z
-4th
-abs
-4th
-A(x,t)-fA=1
-4th
-imag
-4th
-z
-4th
-abs
-4th
-fA=0.1
-4th
-imag
-4th
-z
-4th
-abs
-4th
-fA=0.01 -> breaking
-4th
-imag
-4th
-z
-4th
-abs
-4th
-fA=0.001
-4th
-imag
-4th
-z
-4th
-abs
-4th
-fA=0
-4th
-imag
-4th
-z
-4th
-abs
-4th
-2-fA=1
-4th
-imag
-4th
-z
-4th
-abs
-4th
-fA=0.1
-4th
-imag
-4th
-z
-4th
-abs
-4th
-fA=0.01 -> breaking
-4th
-imag
-4th
-z
-4th
-abs
-4th
-fA=0.001
-4th
-imag
-4th
-z
-4th
-abs
-4th
-fA=0
-4th
-imag
-4th
-z
-4th
-abs
-4th
-3-fA=1
-4th
-imag
-4th
-z
-4th
-abs
-4th
-fA=0.1
-4th
-imag
-4th
-z
-4th
-abs
-4th
-fA=0.01 -> breaking
-4th
-imag
-4th
-z
-4th
-abs
-4th
-fA=0.001
-4th
-imag
-4th
-z
-4th
-abs
-4th
-fA=0
-4th
-imag
-4th
-z
-4th
-abs
-4th
Dirac
-4th
-imag
-4th
-z
-4th
-abs
-4th
-Gauss
-4th
-imag
-4th
-z
-4th
-abs -> fluctuation
-4th
-dx/5
-4th
-imag
-4th
-z
-4th
-abs
-4th
-flux=0
-4th
-imag
-4th
-z
-4th
-abs
-4th
-mirror
-4th
-imag
-4th
-z
-4th
-abs
-4th
-periodic-ψ1
-4th
-imag
-4th
-z
-4th
-abs
-4th
-ψ2
-4th
-imag
-4th
-z
-4th
-abs
-4th
-ψ3
-4th
-imag
-4th
-z
-4th
-abs
-4th
-ψ4
-4th
-imag
-4th
-z
-4th
-abs
-4th
-Weyl-ψ1
-4th
-imag
-4th
-z
-4th
-abs
-4th
-ψ2
-4th
-imag
-4th
-z
-4th
-abs -> |ψ2|=|ψ3|
-4th
-ψ3
-4th
-imag
-4th
-z
-4th
-abs
-4th
-ψ4
-4th
-imag
-4th
-z
-4th
-abs -> |ψ4|=|ψ1|
-4th
-Majorana-ψ1
-4th
-imag
-4th
-z
-4th
-abs -> |ψ1|=|ψ3|
-4th
-ψ2
-4th
-imag
-4th
-z
-4th
-abs -> |ψ2|=|ψ4|
-4th
-ψ3
-4th
-imag
-4th
-z
-4th
-abs -> |ψ3|=|ψ3_Weyl|
-4th
-ψ4
-4th
-imag
-4th
-z
-4th
-abs
-4th
-V(x,t)-exp(fV=0)
-4th
-imag
-4th
-z
-4th
-abs
-4th
-2
-4th
-imag
-4th
-z
-4th
-abs
-4th
-3
-4th
-imag
-4th
-z
-4th
-abs
-4th
-V=0
-4th
-imag
-4th
-z
-4th
-abs
-4th
-V(x,t)-cos(fV=1)
-4th
-imag
-4th
-z
-4th
-abs
-4th
-V(x,t)-cos(fV=0)
-4th
-imag
-4th
-z
-4th
-abs
-4th
-2
-4th
-imag
-4th
-z
-4th
-abs
-4th
-3
-4th
-imag
-4th
-z
-4th
-abs
-4th
-V=0
-4th
-imag
-4th
-z
-4th
-abs
-4th
wave-check
-imag
-abs
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-variant
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Hilbert
Moore
pinwheel
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p-trans
tone-curve
post
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p-DFT
p-DWT
p:
:rel.
x0.1
x0.5
x 1
x 2
x10
:snap
plot
l:
stop
t:
~
N:
x(t):
log:
i:
~
y(t):
log:
i:
~
z:
v:
vx:
vy:
vz:
path:
plot-config
Nthread:
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canvas-width:
canvas-height:
bg-color:
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transparent
black
white
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auto
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kx-adj:
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2
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marker-colors:
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Ver.1
H*0.50
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H*1.00
rainbow
red-green
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r-orange-g
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g-orange-b
g-orange-r
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legend-kx:
0
0.05
0.1
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legend-ky:
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canvas-globalCompositeOperationLayer:
source-over
source-in
source-out
source-atop
destination-over
destination-in
destination-out
destination-atop
xor
darker
lighter
copy
multiply
screen
overlay
soft-light
hard-light
color-dodge
color-burn
darken
lighten
difference
exclusion
hue
saturation
color
luminosity
canvas-globalCompositeOperation(bg<-grid<-plot):
source-over
source-in
source-out
source-atop
destination-over
destination-in
destination-out
destination-atop
xor
darker
lighter
copy
multiply
screen
overlay
soft-light
hard-light
color-dodge
color-burn
darken
lighten
difference
exclusion
hue
saturation
color
luminosity
bg-image-file:
csv-file:
auto-real
real
complex
:matrix
:strict
decimal
exponential-0digit
exponential-1digit
exponential-2digit
exponential-3digit
exponential-4digit
exponential-5digit
exponential-6digit
exponential-7digit
exponential-8digit
exponential-9digit
exponential-10digit
exponential-11digit
exponential-12digit
exponential-13digit
exponential-14digit
exponential-15digit
exponential-16digit
exponential-17digit
exponential-18digit
exponential-19digit
exponential-20digit
:shared storage
cancel
C-input
plot2d{}
plot2d()
,
=
list-vars
list-eqns
<<
<
>
>>
:O(error)
C
BS
DEL
i
()
{}
ans
strict-mode equation-list
template
scope_NG
short-circuit
matching
list
scope2storage
has4test
test4useMutex
test4useStatic
Call-by-Reference
args
curried
closure
counter
push
map
arr_ext
reshapez
Rump
Fibonacci
fact
gcd/lcm
random
average
average_asym
Gaussian
Pythagorean
instrument
plot2d{}_multi
_interp
_fft1d
plot2d()_multi
_circle
_evolution
_Lagrange
_nspline
_bspline
SND/P(x)/erf(x)
cSND/cP
residue
integral
integral_DE_quadrature
matrix_product
rotationx/y/z-RHS
rotationx/y/z-LHS
quaternion
solvex_Gauss
-Gauss_coo
solvex_pivotting
solvex_no_pivotting
solvex_iteration
solveAinv
solvex_linear
solvex_non_linear
solvex_bisection
solvex_polynomial
implicit||explicit Euler_method
explicit ODE_RK4
explicit ODE_fixed
explicit ODE_adaptive
DFT1d
DFT2d_xy
DFT2d_yx
DWT1d
DWT2d_xy
DWT2d_yx
MaclaurinN
TaylorN
FourierN
fact_m
gamma_EM
zeta_EM
xi_EM
spacetime
Seki-Aitken
primes
Pythagoras
Fermat
magic-square
plot2d_EIS
plot2d_EIS_DFT
plot2d_IV
heat0d_evolution
heat1d_evolution
calc-config
right-associativity:
/prior2omitted*:
comma:
use$let:
useMutex:
useFunc:
FuNc
func
FUNC
Func
useScopeWith:
false
=<
(args)=<
useScope:
false
[]
()
{}
(){}
{}[]
[]()
[](){}
useStaticScopes2dArray:
precedence:
Multi-thread:
[manual]Calculator