MathStudio MathStudio Express
Using MathStudio
The Basics
1. Introduction
2. Trigonometric Functions
3. Lists
4. Matrices
5. Algebra
6. Calculus
7. Fourier Analysis
8. Base Conversions
9. Regression Analysis
10. 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. Double Modulo Operator
12. Matrix Operator
13. Matrix Size Operator
14. String Concatenation Operator
15. Conditional Operator
Graphing
1. 2D Graphing
2. Plot Styles
3. 3D Graphing
4. Color Names
5. Time Graphing
Scripting Language
Variables
1. Creating Variables
2. Variable Functions
3. Strings
4. Wildcards
Scripts
1. Semicolons
2. Comments
3. Variable Controls
4. Conditional Statements
5. For-In Loops
6. While Loops
7. Timing
8. Objects
9. 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, list2, ...)
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, [y], [x2], [y2], ...)
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])