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Manual
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Color Names
White
Snow
Honeydew
MintCream
Azure
AliceBlue
GhostWhite
WhiteSmoke
Seashell
Beige
OldLace
FloralWhite
Ivory
AntiqueWhite
Linen
LavenderBlush
MistyRose
Gainsboro
LightGray
Silver
DarkGray
Gray
DimGray
LightSlateGray
SlateGray
DarkSlateGray
Black
Pink
LightPink
HotPink
DeepPink
PaleVioletRed
MediumVioletRed
LightSalmon
Salmon
DarkSalmon
LightCoral
IndianRed
Crimson
FireBrick
DarkRed
Red
OrangeRed
Tomato
Coral
DarkOrange
Orange
Yellow
LightYellow
LemonChiffon
LightGoldenrodYellow
PapayaWhip
Moccasin
PeachPuff
PaleGoldenrod
Khaki
DarkKhaki
Gold
Cornsilk
BlanchedAlmond
Bisque
NavajoWhite
Wheat
BurlyWood
Tan
RosyBrown
SandyBrown
Goldenrod
DarkGoldenrod
Peru
Chocolate
SaddleBrown
Sienna
Brown
Maroon
DarkOliveGreen
Olive
OliveDrab
YellowGreen
LimeGreen
Lime
LawnGreen
Chartreuse
GreenYellow
SpringGreen
MediumSpringGreen
LightGreen
PaleGreen
DarkSeaGreen
MediumSeaGreen
SeaGreen
ForestGreen
Green
DarkGreen
MediumAquamarine
Aqua
Cyan
LightCyan
PaleTurquoise
Aquamarine
Turquoise
MediumTurquoise
DarkTurquoise
LightSeaGreen
CadetBlue
DarkCyan
Teal
LightSteelBlue
PowderBlue
LightBlue
SkyBlue
LightSkyBlue
DeepSkyBlue
DodgerBlue
CornflowerBlue
SteelBlue
RoyalBlue
Blue
MediumBlue
DarkBlue
Navy
MidnightBlue
Lavender
Thistle
Plum
Violet
Orchid
Fuchsia
Magenta
MediumOrchid
MediumPurple
BlueViolet
DarkViolet
DarkOrchid
DarkMagenta
Purple
Indigo
DarkSlateBlue
SlateBlue
MediumSlateBlue
Examples
Plot(sin(x), tan(x), shade=[bottom, none], color=[coral, teal])
Plot(sin(x^2)*x, color=lime, gridColor=DarkSlateGray, backgroundColor=black)
ParametricPlot3D((3+sin(v)+cos(u))*sin(2*v), (3+sin(v)+cos(u))*cos(2*v), sin(u)+2*cos(v), u=[0, 2@pi, 40], v=[0, 2@pi, 80], colors=[DeepPink, Gold], lines=0)
© 2024 Pomegranate Apps
MathStudio
MathStudio Express
Using MathStudio
The Basics
1.
Introduction
2.
Trigonometric Functions
3.
Special Values
4.
Lists
5.
Matrices
6.
Algebra
7.
Calculus
8.
Fourier Analysis
9.
Units
10.
Base Conversions
11.
Regression Analysis
12.
Natural Language
13.
Constants
14.
Dynamic Variables
Operators
1.
Basic Operators
2.
Double Power Operator
3.
Comparison Operators
4.
Logical Operators
5.
Compound Assignment Operators
6.
Type Comparison Operators
7.
Size Operator
8.
Range Operator
9.
Transformation Operator
10.
Index Operator
11.
Union Operator
12.
Intersection Operator
13.
Difference Operator
14.
Double Modulo Operator
15.
Matrix Operator
16.
Matrix Size Operator
17.
Angle Operator
18.
Choose Operator
19.
String Concatenation Operator
20.
Conditional Operator
21.
Append Operator
22.
Element Operator
Graphing
1.
2D Graphing
2.
Plot Styles
3.
Min, Max and Zero Values
4.
3D Graphing
5.
Multiple Plots
6.
Color Names
7.
Time Graphing
Scripting Language
Variables
1.
Creating Variables
2.
Unicode Characters
3.
Variable Functions
4.
Strings
5.
Wildcards
Scripts
1.
Creating Scripts
2.
Semicolons
3.
Comments
4.
Variable Controls
5.
Conditional Statements
6.
For-In Loops
7.
While Loops
8.
Timing
9.
Objects
10.
Working with JSON
Functions
A
abs
(
z
)
AiryAi
(
z
)
AiryBi
(
z
)
AlternatingSeries
(
n, [terms]
)
Angle
(
A, B
)
Animate
(
variable, start, end, [step], [value], [fps]
)
Apart
(
f(x), x
)
Append
(
expression1, expression2
)
Arg
(
z
)
B
BarPlot
(
list1, frequency1, ...
)
Bernoulli
(
n, [z]
)
BesselI
(
v, z
)
BesselJ
(
v, z
)
BesselK
(
v, z
)
BesselY
(
v, z
)
Beta
(
m, n
)
Binomial
(
n, r
)
BinomialCDF
(
n, p, x
)
BinomialPDF
(
n, p, x
)
BodePlot
(
function, variable, minimum, maximum, mode
)
BoxPlot
(
x, [frequency1], [x2], [frequency2], ...
)
Button
(
name, [list], [value]
)
C
Call
(
function, parameter1, parameter2, ...
)
Caps
(
string, index, [mode]
)
Catalan
(
n
)
Ceil
(
z
)
cFrac
(
n, [terms]
)
Char
(
x
)
ChebyshevT
(
n, z
)
ChebyshevU
(
n, z
)
CheckBox
(
variable, [value]
)
Chi
(
z
)
ChiSquareCDF
(
lower, upper, df
)
ChiSquarePDF
(
x, df
)
Cholesky
(
A
)
Choose
(
test1, value1, test2, value2, ...
)
Ci
(
z
)
Clear
(
variable, ...
)
clip
(
x, [min], [max]
)
Coefficient
(
f(x), x, degree
)
coFactor
(
matrix, i, j
)
Command
(
setting
)
Conj
(
z
)
ContourPlot
(
expression, ...
)
Convergents
(
n, [mode=0], [terms]
)
Cross
(
A, B
)
CubicFit
(
[x], y
)
CubicFitModel
(
[x], y
)
CubicFitPlot
(
[x], y
)
Curl
(
vector, [varlist], [mode]
)
CylindricalPlot3D
(
expression, ...
)
D
D
(
f(x), x, [n]
)
Date
(
letter
)
Dawson
(
z
)
Degree
(
expression
)
DEGtoDMS
(
angle, [digits]
)
Delete
(
expression, position, [length]
)
Denominator
(
expression
)
Det
(
A
)
Diff
(
f(x), x
)
DiGamma
(
z
)
DiLog
(
z
)
Dirichlet_Eta
(
z
)
Dirichlet_Lambda
(
z
)
Divergence
(
[varlist], vector, [mode]
)
Divisors
(
n
)
DivisorSigma
(
n
)
Dot
(
A, B
)
DSolve
(
equation, dependent(independent), values, mode=1
)
Duf
(
function, [varlist], [point], [direction]
)
dynamic
(
name, value
)
E
Ei
(
z
)
Eigenvalues
(
A
)
Eigenvectors
(
A
)
Else If
(
condition
)
Erf
(
z
)
Erfc
(
z
)
Error
(
string
)
Euler
(
n, [z]
)
Eulerian
(
n, k
)
Eval
(
function, variable, value
)
Exp
(
z
)
Expand
(
expression
)
ExpConvert
(
expression
)
ExpFit
(
[x], y
)
ExpFitModel
(
[x], y
)
ExpFitPlot
(
[x], y
)
ExponentialFit
(
[x], y
)
ExponentialFitModel
(
[x], y
)
ExponentialFitPlot
(
[x], y
)
Extract
(
expression, position, [length]
)
F
Factor
(
expression
)
Factorial
(
n
)
Fcdf
(
lower, upperbound, numerator, denominator
)
fDiff
(
f(x,y,z,..), (x,y,z,...)
)
Fibonacci
(
n, [z]
)
Finance
(
PV, FV, Pmt, i, n, [mode=0]
)
FindFit
(
function, variable, [x], y
)
FindFitModel
(
function, variable, [x], y
)
FindFitPlot
(
function, variable, [x], y
)
Flatten
(
matrix
)
Floor
(
z
)
FourierCos
(
f(x), x, w
)
FourierExpSeries
(
f(x), x, n
)
FourierSeries
(
f(x), x, [n], [mode]
)
FourierSin
(
f(x), x, w
)
FourierTrigSeries
(
f(x), x, n
)
fPart
(
z
)
Fpdf
(
x, d1, d2
)
FractalPlot
(
expression, ...
)
FresnelCos
(
z
)
FresnelSin
(
z
)
FullRectSineWave
(
x, [T]
)
Function
(
function, parameter1, parameter2, ...
)
G
Gamma
(
z
)
GCD
(
n1, n2
)
GegenbauerC
(
n, a, z
)
GeoCDF
(
p, x
)
GeoPDF
(
p, x
)
Gradient
(
function, [varlist], [mode]
)
Gudermannian
(
z
)
H
HalfRectSineWave
(
x, [T]
)
HankelH1
(
v, z
)
HankelH2
(
v, z
)
Harmonic
(
z
)
Heaviside
(
x
)
HermiteH
(
n, z
)
Hessian
(
function, [varlist], [mode]
)
HRStoHMS
(
hours, [digits]
)
http
(
url, [filter]
)
Hypergeom_2F1
(
a, b, c, z, [mode]
)
I
Identity
(
n
)
iDiff
(
f(x,y,z,..), dependant_variables, independant_variables
)
If
(
condition
)
iLaplace
(
F(s), s
)
Im
(
z
)
ImagePlot
(
data
)
ImaginaryPart
(
expression
)
ImplicitPlot
(
expression, ...
)
Include
(
filename
)
Insert
(
expression, item, position
)
Integrate
(
f(x), x, [a], [b]
)
Inverse
(
A
)
InverseNormal
(
p, [mu], [sigma]
)
invGudermannian
(
z
)
iPart
(
z
)
IsList
(
expression
)
IsMatrix
(
expression
)
IsNumber
(
expression
)
IsPoly
(
expression, variable
)
IsPrime
(
n
)
J
Jacobian
(
function, [varlist], [point]
)
json
(
data, [filter]
)
JuliaPlot
(
expression, ...
)
K
KelvinBei
(
v, z
)
KelvinBer
(
v, z
)
KelvinKei
(
v, z
)
KelvinKer
(
v, z
)
L
LaguerreL
(
n, z
)
LambertW
(
z
)
Laplace
(
f(t), t
)
Laplacian
(
function, [varlist], [mode]
)
LCM
(
n1, n2
)
Left
(
expression
)
LegendreP
(
n, z
)
LegendreQ
(
n, z
)
Length
(
expression
)
Li
(
x
)
Limit
(
function, variable, point, [direction]
)
LinearFit
(
[x], y
)
LinearFitModel
(
[x], y
)
LinearFitPlot
(
[x], y
)
List
(
length
)
ListMap
(
list, name, [value]
)
ListPlot
(
x, [y], [x2], [y2]
)
ListPlot3D
(
x, y, z, [x2], [y2], [z2], ...
)
Ln
(
z
)
LnFit
(
[x], y
)
LnFitModel
(
[x], y
)
LnFitPlot
(
[x], y
)
LnGamma
(
z
)
local
(
name, value
)
Log
(
[n], z
)
LogisticFit
(
[x], y
)
LogisticFitModel
(
[x], y
)
LogisticFitPlot
(
[x], y
)
Lucas
(
n, [z]
)
M
Matrix
(
rows, [columns]
)
MatrixLU
(
matrix, [mode]
)
MatrixMap
(
matrix, name, [value]
)
MatrixQR
(
A
)
MatrixSVD
(
A
)
Max
(
number, ...
)
Mean
(
list
)
MedianFit
(
[x], y
)
MedianFitModel
(
[x], y
)
MedianFitPlot
(
[x], y
)
Message
(
string
)
Min
(
list
)
Mod
(
m, n
)
Multinomial
(
nList
)
MultiPlot
(
plot1, plot2, ...
)
MultiPlot3D
(
expression, ...
)
N
nCr
(
n, r
)
NIntegrate
(
f(x), x, a, b
)
Norm
(
z
)
NormalCDF
(
lower, upper, [mu], [sigma]
)
NormalPDF
(
x, mu, sigma
)
nPr
(
n, r
)
nPrimes
(
n
)
nRoot
(
z, n, [mode]
)
P
ParametricPlot
(
expression, ...
)
ParametricPlot3D
(
expression, ...
)
Part
(
expression, n
)
pDiff
(
f(x,y,z,..), dependent_variables, dependent_equations, independent_variables
)
Pi_Digits
(
n
)
Plot
(
expression, ...
)
Plot3D
(
expression, ...
)
Pochhammer
(
n, k
)
PoissonCDF
(
mu, x
)
PoissonPDF
(
mu, x
)
PolarPlot
(
expression, ...
)
PolyDivide
(
f(z), g(z)
)
PolyFit
(
pList, var
)
PolyGamma
(
n, z
)
PolyGCD
(
polynomial1, polynomial2
)
PolyLCM
(
polynomial1, polynomial2, [mode=1]
)
PolyLog
(
n, z
)
PowerExpand
(
expression
)
PowerFit
(
[x], y
)
PowerFitModel
(
[x], y
)
PowerFitPlot
(
[x], y
)
Prime
(
n
)
Primorial
(
n
)
Product
(
f(n), n, start, end
)
Psi
(
z
)
Q
QuadraticFit
(
[x], y
)
QuadraticFitModel
(
[x], y
)
QuadraticFitPlot
(
[x], y
)
QuarticFit
(
[x], y
)
QuarticFitModel
(
[x], y
)
QuarticFitPlot
(
[x], y
)
Quotient
(
f(x), g(x)
)
R
Random
(
min, max, [size1], [size2]
)
Re
(
z
)
RealPart
(
expression
)
Remainder
(
f(x), g(x)
)
Replace
(
expression, old, new
)
Reshape
(
matrix
)
Return
(
expression
)
Reverse
(
list
)
Right
(
expression
)
RK4
(
function, t, y, a, b, y0, N=10
)
RK45
(
function, t, y, a, b, y0, Tol=10E-5, hmax=0.25, hmin=10E-6, N=20
)
Round
(
number, digits
)
RowReduce
(
A
)
S
SawToothWave
(
x, [T]
)
Sequence
(
f(x), x, start, end, [step], [start term], [number of terms]
)
Series
(
f(z), z, n
)
Shi
(
z
)
Si
(
z
)
Sign
(
z
)
SimplifyFunction
(
expression
)
SimplifyPoly
(
f(x)/g(x), [variable]
)
sin
(
z
)
SinFit
(
[x], y
)
SinFitModel
(
[x], y
)
SinFitPlot
(
[x], y
)
Size
(
list
)
Slider
(
variable, start, end, [step], [initial value]
)
Solve
(
f(x), x, [guess]
)
SolveSystem
(
equations, [variables], [guesses]
)
Sort
(
list
)
SphericalPlot3D
(
expression, ...
)
Sqrt
(
z
)
SquareWave
(
x, [T]
)
StaircaseWave
(
x, [T]
)
StandardDeviation
(
list
)
String
(
expression1, expression2, ...
)
StudentTCDF
(
x, df
)
StudentTPDF
(
x, df
)
Sum
(
f(n), n, start, end
)
SurfaceNormal
(
function, [varlist], [point]
)
T
Together
(
expression
)
Trace
(
variable
)
Transpose
(
A
)
TriangleWave
(
x, [T]
)
TrigConvert
(
expression
)
TrigExpand
(
expression
)
TrigReduce
(
expression
)
V
Variables
(
expression
)
Variance
(
list
)
VectorPlot
(
list, ...
)
VectorPlot3D
(
list, ...
)
W
While
(
condition
)
Z
Zeta
(
z, [a]
)
Computing
