Tool to make symbolic computations. A formal calculator to make exact scientific calculations, with parenthesis, variables, etc.
Calculator - dCode
Tag(s) : Symbolic Computation
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Calculator
Answers to Questions (FAQ)
What is a formal calculator? (Definition)
A formal calculator, also called a symbolic calculator, is a tool capable of manipulating mathematical expressions containing variables. It allows for exact (not approximate) calculations and for simplifying algebraic expressions. It also allows for ordinary numerical calculations with large numbers (arbitrary precision).
How to make a formal calculation?
Write the calculation to be performed (if there are variables or functions, respect the syntax).
Example: Simplification of polynomials with variable: $$ x^2-(x-1)(x+2)+2x = x+2 $$
Example: Computation (addition, subtraction, multiplication, division) with unknowns: $$ a+1+a-2 = 2a-1 $$
Performing a formal calculation with variables does not mean solving an equation. dCode offers an equation solver and other tools such as derivative, antiderivative, integral, etc.
What are allowed functions?
Most common functions (parenthesis are mandatory) are
| sqrt() or √() | square root |
|---|---|
| exp() | exponential |
| log() or ln() | natural logarithm (base e) |
| log2() | logarithm (base 2) |
| log10() | logarithm (base 10) |
| cos() | cosine |
| sin() | sine |
| tan() or tg() | tangent |
| arcsin() or asin() | arc sine |
| arccos() or acos() | arc cosine |
| arctan() or atan() | arc tangent |
| csc() | cosecant |
| sec() | secant |
| cot() | cotangent |
| arccsc() or ascs() | arc cosecant |
| arcsec() or asec() | arc secant |
| arccot() or acot() | arc-cotangent |
| cosh() | hyperbolic cosine |
| sinh() | hyperbolic sine |
| tanh() or tgh() | hyperbolic tangent |
| arcsinh() or asinh() | hyperbolic arc sine |
| arccosh() or acosh() | hyperbolic arc cosine |
| arctanh() or atanh() | hyperbolic arc tangent |
| csch() | hyperbolic cosecant |
| sech() | hyperbolic secant |
| coth() | hyperbolic cotangent |
| arccsch() or ascsh() | hyperbolic arc cosecant |
| arcsech() or asech() | hyperbolic arc secant |
| arccoth() or acoth() | hyperbolic arc cotangent |
| abs() | absolute value |
| sign() | function sign |
| arg() | argument |
| im() | imaginary part |
| re() | real part |
| ii (double i) | i (imaginary unit) |
What is the difference between a formal calculator and a standard calculator?
A formal calculator can perform symbolic calculations, while a standard calculator performs numerical calculations. The formal calculator preserves variables and symbolic expressions.
What is the difference between a formal calculator and a calculation software (CAS)?
A computer algebra software (CAS, such as Mathematica, Maple or Matlab) offers much more extensive functionality but requires knowing the language of each software. An online formal calculator is a simplified version, focused on speed and the ease of obtaining results.
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- Formal Calculator
- Solve an equation (find x)
- What is a formal calculator? (Definition)
- How to make a formal calculation?
- What are allowed functions?
- What is the difference between a formal calculator and a standard calculator?
- What is the difference between a formal calculator and a calculation software (CAS)?
