LaTeX Calculator User Manual

The Modeling Assistant LaTeX Calculator is now online! Simply paste LaTeX code from your paper to compute results instantly!

Function Description

Numerical Calculation

• Basic arithmetic operations (multiplication supports omitted symbol, \cdot, \times, or \ast), modulus (\mod or %)
• Exponentiation (^), square root (\sqrt)
• Logarithms (\log, \ln, \lg)
• Trigonometric, inverse trigonometric, and hyperbolic functions. Inverse trigonometric functions support the -1 superscript notation, e.g., \sin^{-1}x; simplified power notations such as \sin^2x are also supported
• Summation (\sum_{i=1}^{n}), product (\prod_{i=1}^{n}); the variable and bounds can be user-defined, either numerical or symbolic
• Factorial (!), absolute value (||)
• By default, radicals and irrational symbols such as e and \pi are preserved. For exact numerical evaluation, click the blue Evaluate button.

Complex Number Calculation

• Imaginary unit (\mathrm{i}; must use \mathrm, otherwise it will be recognized as a regular variable)
• Real part (\operatorname{re}), imaginary part (\operatorname{im})
• Modulus (||), argument (\arg)
• Complex conjugate (\overline)
• Sign function (\operatorname{sign} or \operatorname{sgn}; for complex numbers, returns the unit vector on the complex plane)

Symbolic Computation

• Automatic simplification of symbolic expressions
• Indefinite, definite, and multiple integrals (all use \int; a matching differential symbol is required at the end. Unconventional positions such as \mathrm{d}(x^2) or placing the differential in the numerator/front are not supported. Indefinite integrals have no upper/lower bounds). The differential symbol supports d, \mathrm{d}, or \partial. Complex numbers are supported (e.g., Fourier transform)
• Derivatives (in the form \frac{d}{dx}), partial derivatives; differential symbols support d, \mathrm{d}, or \partial
• Limits (\lim); subscripts must use \to; multiple limits are not supported
• Symbol substitution: to replace x with 1, append \qquad at the end of the input: \qquad x=1. Separate multiple assignments with commas.

Equation Solving

• After entering an equation, if no variable is specified, the system will randomly choose one to solve and output the solution set
• To specify a variable, use \Rightarrow, e.g., x+y=t\Rightarrow x (solve for x)
• To assign values and solve for other variables, place the \qquad assignment at the end, e.g., x+y=t\Rightarrow x\qquad t=1,y=3

System of Equations

• Use \begin{cases} and \end{cases} to define a system
• Each equation must contain an equals sign, and lines are separated by \\
• Variable specification and value assignment follow the same rules as single equations

Supported LaTeX Symbols

Math Commands

sinh, cosh, tanh, coth, arcsin, arccos, arctan, arccot, arcsec, arccsc, sin, cos, tan, cot, sec, csc, exp, ln, lg, log, re, im, arg, sgn, sum, prod, lim, overline, frac, dfrac, tfrac, binom, dbinom, tbinom, cases, etc.

Binary Operators

div, mod, cdot, times, ast, mathop, operatorname, etc.

Mathematical Symbols

All uppercase, lowercase, and italic (var) Greek letters, plus hbar, eth, ell, infty.

Note:

• The imaginary unit i must be written as \mathrm{i}; otherwise it will be treated as a variable.
• e is recognized as the natural constant in both forms and cannot be used as a variable.
• The same applies to pi.

Typesetting Commands

textrm, textit, textbf, texttt, mathrm, mathbb, mathbf, boldsymbol, boldmath, bm, displaystyle, textstyle, scriptstyle, scriptscriptstyle, bar, vec, tilde, hat, overrightarrow, overleftarrow, widetilde, widehat, mathring, left, right, ,, ;, quad, qquad, etc.