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User
Interface and Math Keywords
Robert Katz
Last Updated August 4, 2009
Category: Mathematics |
Keyword Formats |
Described Results |
Elementary Mathematics |
N + M |
What you input, result, number name, visual representation |
Radicals |
Sqrt(N), Cbrt(N) or N^(M) (fractional exponent) |
Input, Decimal Representation with arbitrary precision,
Continued Fraction format |
Fractions |
Fractional Arithmetic Expressions (1/4)*(4–(1/2)) |
Input, Exact Result, Decimal Conversion, Prime
Factorization, Egyptian Fraction Expansion |
Trigonometry |
Use pi; Default is units of radians. To use degrees:
Cos[60 Degree]
Cos[Pi/3], Sin[Pi/3], Tan[Pi/3], ArcCos[1/2], ArcSin[1/2],
ArcTan[Sqrt[3]], Sec[Pi/3], Csc[Pi/3], Cot[Pi/3], ArcSec[2/Sqrt[3]] |
Input, (Exact) Result, Decimal Representation with
arbitrary precision, Conversion to degrees, Right Triangle Picture inside
Circle to show Width and Height of legs when Hypotenuse = Diameter, continued
fraction, alternative representations, relations to other equivalent
functions |
Factorial |
N! |
Input, Result, Number Name, Alternative representations,
Integral representations |
Absolute Value |
Abs(expression) |
Input, result, number name, visual representation,
alternate representations |
Exponential Functions |
Use e^(expression) or exp(expression) |
Input, Decimal representation, Property, Plots, Series
Expansion, Derivative, (In)definite Integral, Limit, Series Representation,
Continued Fraction, Alternative and Integral representations |
Numerical Approximation |
N(expression, showdigits) i.e. N(pi, 50) |
Input, Result |
Simplification in Algebra |
expand simplify i.e. |
Input, Result, Plots, Expansion/Factor over a finite
field, p-adic expansion |
Solving equations and inequalities |
solve x^2
– x – 20 = 0 solve 0 < 2 - 3x < 8 solve 2x + 3y = 4 and 3x + 2y = 5 |
Input, Result, Root plots in real or complex plane;
optional show steps to solution with solve keyword |
|
Minimize x^2 – x – 20 |
Input, (Global) minimum, plots |
|
Maximize -x^2 + x + 20 |
Input, (Global) maximum, plots |
Graphing |
Plot 3x + 4y < 5 |
Input, (Inequality) Plot(s) |