Igor Kulikov
1 year ago
committed by
GitHub
GitHub
3 changed files with 68 additions and 0 deletions
@ -0,0 +1,56 @@ |
|||
## Built-in operators |
|||
The following operators can be used in expressions: |
|||
|
|||
| Operator | Description | Example | |
|||
|----------|-------------------------------|-----------------| |
|||
| `+` | Addition or unary plus | `2 + 3` or `+3` | |
|||
| `-` | Subtraction or unary minus | `5 - 2` or `-3` | |
|||
| `*` | Multiplication | `4 * 2` | |
|||
| `/` | Division | `10 / 2` | |
|||
| `^` | Exponentiation | `2 ^ 3` | |
|||
| `%` | Modulo | `10 % 3` | |
|||
|
|||
|
|||
## Implicit multiplication |
|||
Expressions supports implicit multiplication, allowing you to omit the multiplication operator in certain cases. For example, the expression `2cos(yx)` is interpreted as `2*cos(y*x)`. Similarly, `3x` is interpreted as `3*x`, and `xy` as `x*y`. This feature makes writing expressions more concise and natural. |
|||
|
|||
## Built-in constants |
|||
Available constants for calculations: |
|||
|
|||
| Constant | Description | Value | |
|||
|-------------|-----------------------------|-------------------| |
|||
| `π` or `pi` | The mathematical constant π | 3.141592653589793 | |
|||
| `e` | Euler's number | 2.718281828459045 | |
|||
| `φ` | The golden ratio | 1.618033988749895 | |
|||
|
|||
## Built-in mathematical functions |
|||
The following built-in mathematical functions can be used to perform various calculations: |
|||
|
|||
| Function | Description | Example | |
|||
|---------------|---------------------------------------------------------------------|-------------------| |
|||
| `abs(x)` | Absolute value of `x`. | `abs(-7) = 7` | |
|||
| `acos(x)` | Arc cosine of `x`, result in radians. Requires `-1 ≤ x ≤ 1`. | `acos(1) = 0` | |
|||
| `asin(x)` | Arc sine of `x`, result in radians. Requires `-1 ≤ x ≤ 1`. | `asin(0) = 0` | |
|||
| `atan(x)` | Arc tangent of `x`, result in radians. | `atan(0) = 0` | |
|||
| `cbrt(x)` | Cube root of `x`. | `cbrt(8) = 2` | |
|||
| `ceil(x)` | Rounds `x` up to the nearest integer. | `ceil(3.1) = 4` | |
|||
| `cos(x)` | Cosine of `x`, where `x` is in radians. | `cos(0) = 1` | |
|||
| `cosh(x)` | Hyperbolic cosine of `x`. | `cosh(0) = 1` | |
|||
| `cot(x)` | Cotangent of `x` (1 / tan(`x`)), where `x` is in radians. | `cot(0.7854) ≈ 1` | |
|||
| `exp(x)` | Computes `e^x`. | `exp(0) = 1` | |
|||
| `expm1(x)` | Computes `e^x - 1` accurately for small `x`. | `expm1(0) = 0` | |
|||
| `floor(x)` | Rounds `x` down to the nearest integer. | `floor(3.9) = 3` | |
|||
| `ln(x)` | Natural logarithm (base *e*) of `x`. Requires `x > 0`. | `ln(1) = 0` | |
|||
| `log(x)` | Natural logarithm (base *e*) of `x`. Requires `x > 0`. | `log(1) = 0` | |
|||
| `lg(x)` | Natural logarithm (base 10) of `x`. Requires `x > 0`. | `lg(10) = 1` | |
|||
| `log10(x)` | Logarithm base 10 of `x`. Requires `x > 0`. | `log10(100) = 2` | |
|||
| `log2(x)` | Logarithm base 2 of `x`. Requires `x > 0`. | `log2(8) = 3` | |
|||
| `logab(a, b)` | Logarithm of `b` with base `a`. Requires `a > 0`, `b > 0`, `a ≠ 1`. | `logab(2, 8) = 3` | |
|||
| `log1p(x)` | Computes `ln(1 + x)` accurately for small `x`. Requires `x > -1`. | `log1p(0) = 0` | |
|||
| `pow(x, y)` | Raises `x` to the power of `y` (`x^y`). | `pow(2, 3) = 8` | |
|||
| `signum(x)` | Returns the sign of `x`: -1 if `x < 0`, 0 if `x = 0`, 1 if `x > 0`. | `signum(-5) = -1` | |
|||
| `sin(x)` | Sine of `x`, where `x` is in radians. | `sin(0) = 0` | |
|||
| `sinh(x)` | Hyperbolic sine of `x`. | `sinh(0) = 0` | |
|||
| `sqrt(x)` | Square root of `x`. Requires `x ≥ 0`. | `sqrt(4) = 2` | |
|||
| `tan(x)` | Tangent of `x`, where `x` is in radians. | `tan(0) = 0` | |
|||
| `tanh(x)` | Hyperbolic tangent of `x`. | `tanh(0) = 0` | |
|||
Loading…
Reference in new issue