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For-In Loops
Iterates over a list, matrix or range.
Examples
Iterate over a list
numbers = 1:10 sum = 0 for number in numbers sum += number end sum
Iterate over a range
sum = 0 for i in 1..10 sum += i end sum
Using the transformation operator to change the step value of a range
sum = 0 for i in 1..10 -> 2 sum += i end sum
Iterate over a matrices using multiple loops
data = @[29, 29] for row in 1..29 for column in 1..29 data(row, column) = gcd(row, column) > 1 end end ImagePlot(data)
Iterate over a matrix with a single loop
data = @[29, 29] for [row, column] in data data(row, column) = gcd(row, column) > 1 end ImagePlot(data)
Iterate over a list of matrices using multiple loops
matrices = @[3, 4, 5] for i in 1..3 for j in 1..4 for k in 1..5 matrices(i, j, k) = i + j + k end end end matrices
Iterate over a list of matrices using a single loop
matrices = @[3, 4, 5] for [i, j, k] in matrices matrices(i, j, k) = i + j + k end matrices
© 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
