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Scientific Expression Calculator — result sheet
Evaluate arithmetic expressions with parentheses, powers, square roots, trigonometry, and logarithms.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Parentheses/functions first, then right-associative powers, unary signs, multiplication/division, and addition/subtraction.
A restricted arithmetic grammar parses the entire expression without running code. Powers bind more tightly than a leading minus, so -2^2 is -4, while (-2)^2 is 4. Powers associate right to left: 2^3^2 is 512. Functions require parentheses and multiplication must be explicit.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Mathematical expression — Use + - * / ^, parentheses, sqrt(), sin(), cos(), log(), pi, e. Angles are radians; log is base 10. Write 2*pi, not 2pi.
Worked example
| Input | Value |
|---|---|
| Mathematical expression | sqrt(81) + 2^3 * cos(0) - log(100) |
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Assumptions and limits
- sin and cos use radians; log means the base-10 logarithm. pi and e are constants.
- Only finite real results are supported. Division by zero, log of a nonpositive number, square roots of negatives, and 0^0 are rejected.
- Negative bases require integer powers; fractional negative-base powers are not real-valued by this implementation.
- Input is limited to 2,000 characters, 512 tokens, and 64 nesting levels. Decimal and scientific-notation literals are allowed; assignments and programming syntax are not.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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