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Factor a polynomial: | Run |
Compute a Gröbner basis for polynomials: | Run |
Verify identities between functions: | Run |
Compute a series expansion: | Run |
Solve a simple growth model whose solution is expressible as elementary functions: | Run |
Interactively explore the effect of the growth parameter: | Run |
Compute derivatives of a hypergeometric function: | Run |
Compute contour integrals of special functions: | Run |
Visualize an elliptic function: | Run |
Compare the behavior of Bessel functions: | Run |
Define and use piecewise functions as part of computations: | Run |
Express the fundamental solution of the Klein–Gordon operator ( ∂ tt 2 ∇ x | Run |
Plot the function, which is nonzero only for 2 t x x | Run |
Compare the average number of divisors per integer to its asymptotic value: | Run |
Plot the number of primes less than or equal to x π(x) | Run |
Find the period of a function: | Run |
Test for injectivity: | Run |
Test for surjectivity: | Run |
Test for bijectivity: | Run |
Find poles of a function: | Run |
Test for analyticity: | Run |
Test whether a function is meromorphic: | Run |
Compute integrals of rational functions: | Run |
Compute the Fourier transform of a function: | Run |
Compute the Mellin transform of a multivariate rational function: | Run |
Solve a differential equation exactly: | Run |
Evaluate functions to specified numeric precision: | Run |
Compute integrals numerically: | Run |
Include uncertainty in expressions: | Run |
Visualize a function with uncertainty: | Run |
Compute an asymptotic approximation to n! | Run |
Check that the approximation and expression are equivalent: | Run |
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