"trig" - Codish Lexicon

trig — includes: sin, cos, tan, asin, acos, atan, atan2, sinh, cosh, tanh, asinh, acosh, atanh, angle, radian is: math related: angle classes: atan, atan2, cos, sin, tan aka: trigonometry ✍

angle — a unitless number, measured in radians, for expressing the direction of a ray from a point on a plane. related: trig mentioned: atan, atan2, cos, sin, tan ✍

math — includes: arithmetic, logic, trig, multiplicative, exponential, matrix, calc classes: arithmetic, calc, logical, trig ✍

atan — returns the arctangent angle of a right triangle on the origin for a given ratio of the y axis edge length divided by the x axis edge length. the angle between the x axis edge and the hypotenuse of a right triangle on the origin. inverse: tan (partial since right triangles with infinite x or y edges are not expressible or distinguishable as ratios) related: atan2 is: trig php: arc tangent &dagger. aka: arctangent ✍

atan2 — returns the arctangent angle of a right triangle on the origin for a given y axis edge length and x axis edge length. related: atan inverse: tan is: trig perl: [number]: arctangent of Y/X in the range -PI to PI† php: arc tangent of two variables &dagger. aka: arctangent ✍

cos — returns the cosine of an angle. related: sin, tan inverse: acos is: trig perl: [number]: cosine function† php: cosine &dagger. related: acosh, cosh ✍

sin — returns the sine of an angle. related: cos, tan inverse: asin is: trig perl: [number]: return the sine of a number† php: sine &dagger. related: asinh, sinh ✍

tan — returns the tangent of an angle. related: sin, cos inverse: atan (loses vertical and horizontal angles), atan2 (requires ratio components x and y) is: trig php: tangent &dagger. inverse: atan2 related: atanh, tanh ✍

asin — inverse: sin php: arc sine &dagger. related: asinh mentioned: trig ✍

acos — inverse: cos php: arc cosine &dagger. mentioned: trig ✍

sinh — hyperbolic sine. pronounced: sinch. inverse: asinh related: cosh, tanh, sin php: hyperbolic sine &dagger. mentioned: trig ✍

cosh — hyperbolic cosine. inverse: acosh related: sinh, tanh, cos php: hyperbolic cosine &dagger. related: acosh mentioned: trig ✍

tanh — hyperbolic tangent. inverse: atanh related: sinh, cosh, tan php: hyperbolic tangent &dagger. related: atanh mentioned: trig ✍

asinh — hyperbolic arcsine. inverse: sinh related: acosh, asinh, asin, sin php: inverse hyperbolic sine &dagger. related: atanh mentioned: trig ✍

acosh — hyperbolic arccosine. related: asinh, atanh, cosh, cos php: inverse hyperbolic cosine &dagger. inverse: cosh mentioned: trig ✍

atanh — hyperbolic arctangent. related: asinh, acosh, tanh, tan php: inverse hyperbolic tangent &dagger. inverse: tanh mentioned: trig ✍

radian — mentioned: trig ✍

trigonometry — see: trig ✍

number — concept: a whole, natural, integer, real, or complex numeric value. a transitive function that returns the corresponding number, usually limited to a subset of the real domain like int or float. ✍

ray — mentioned: angle ✍

point — mentioned: angle, origin, orthogonal, plane, plot ✍

plane — a 2 dimensional domain of points. related: planar mentioned: angle, normal ✍

arithmetic — includes: add, sub, diff, zero is: math classes: add, exponential, multiplicative, sub ✍

calc — calculus. is: math aka: calculus ✍

logical — pertains to functions that operate on boolean values. includes: not, and, or, xor, nand, nor, nxor, cond, ncond distinct: binary, bitwise, boolean is: math classes: cond, ncond aka: logic ✍

logic — see: logical mentioned: math ✍

multiplicative — includes: mul, div, mod, rem, unit is: arithmetic classes: div, mul, rem mentioned: math ✍

exponential — includes: exp, log, sqrt is: arithmetic classes: exp, log mentioned: math ✍

matrix — an ordered planar collection of numbers with certain algebraic properties and pertinent functions. a matrix is not ragged. a rectilinear list of lists of numbers with certain algebraic properties. distinct: table mentioned: math, unit ✍

arctangent — see: atan, atan2 ✍

origin — a point where the value on every dimension is zero. mentioned: atan, atan2, axis ✍

y — the second dimension. the vertical axis. seuss: a suffix that connotes that a function applies to multiple elements instead of a single element from a collection. is: dimension perl: [string]: transliterate a string; see: [map] and [zip]† mentioned: atan, atan2, pishy, poshy, slice, tan, vowel ✍

axis — a line that passes through an origin, passes through every value in one dimension, and is orthogonal with all others. mentioned: atan, atan2, cardinal, plot ✍

edge — a connection in a graph that starts at one vertex and stops at another. mentioned: atan, complete, depth, graph, machine, path, stable, transitive relation, transitive ✍

length — see: len perl: [string]: return the number of bytes in a string; see: [len]† aka: cardinality distinct: count, depth, size, width mentioned: atan, height, ragged, uniform ✍

div — divide. opposite: mul is: multiplicative, stateless related: reciprocal, unit mentioned: atan, identity, radix64 ✍

x — the first dimension. the horizontal exist. is: dimension an abbreviation for executable. mentioned: atan, atan2, tan ✍

len — the number of values in a collection, even unordered collections. distinct: size, width, count aka: length pertains: collection python: len(object) -> integer Return the number of items of a sequence or mapping.† ✍

vertical — mentioned: tan ✍

horizontal — mentioned: tan ✍

whole — pertains to number values that are positive, but not zero. distinct: natural, integer, uint mentioned: digit ✍

natural — pertains to number values that are positive or zero. natural numbers have arbitrary magnitude. distinct: integer, whole, uint mentioned: abs, binary, digit, unsigned ✍

integer — pertains to number values that are positive, negative, and zero, but have no mantissa. integers have arbitrary magnitude. distinct: int distinct: natural, whole mentioned: abs, bitwise, genericity, pointer, rational, real, ref ✍

real — a number that may have both integer and mantissa components, both with both arbitrary precission and magnitude. distinct: rational, float, fixed python: complex: the real part of a complex number.† mentioned: cardinality ✍

complex — a number that may have both real and imaginary components, both of arbitrary precision and magnitude. python: complex(real[, imag]) -> complex number Create a complex number from a real part and an optional imaginary part. This is equivalent to (real + imag*1j) where imag defaults to 0.† mentioned: imag ✍

value — data of any class. see: def, variable aka: datum related: dict ✍

transitive function — concept: a unary function that consistently returns the corresponding value in a range for a given key in a domain. distinct: relation, binary relation, transitive relation ✍

int — a magnitude-limited integer. a constructor or transitive function for an integer type that may convert strings to integers in a given radix or default to 10, or round floating point or decimal numbers with floor. a linear ordered collection of bits of fixed length. if iterating an integer as a bit vector is supported by a language, it starts from the little end, the lowest magnitude, bit 0. related: floor, ceil classes: nyble, byte, signed, unsigned, int16, int32, int64, uint16, uint32, uint64 python: int(x[, base]) -> integer Convert a string or number to an integer, if possible. A floating point argument will be truncated towards zero (this does not include a string representation of a floating point number!) When converting a string, use the optional base. It is an error to supply a base when converting a non-string. If the argument is outside the integer range a long object will be returned instead.† perl: [number]: get the integer portion of a number† distinct: integer aka: word mentioned: char, long, short, symbol, uint ✍

float — a floating precision number. opposite: fixed see: mantissa, exp python: float(x) -> floating point number Convert a string or number to a floating point number, if possible.† distinct: real mentioned: int ✍

abs — absolute value. returns the positive reflection of negative integers, returning positive numbers as they were. a transitive function that maps integers into the natural number line. distinct: absolute is: stateless, idempotent related: neg python: abs(number) -> number Return the absolute value of the argument.† perl: [number]: absolute value function† php: absolute value &dagger. distinct: pos related: positive ✍

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©2009 Kris Kowal

Codish Lexicon by Kris Kowal is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 United States License.
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Truth Tables
0 1 2 3 function

X false false true true

Y false true false true

0 false false false false false

1 false false false true X and Y

2 false false true false X ncond Y

3 false false true true X

4 false true false false Y ncond X

5 false true false true Y

6 false true true false X xor Y

7 false true true true X or Y

8 true false false false X nor Y

9 true false false true X nxor Y

10 true false true false not Y

11 true false true true Y cond X

12 true true false false not X

13 true true false true X cond Y

14 true true true false X nand Y

15 true true true true true

	0	1	2	3	function
`X`	`false`	`false`	`true`	`true`
`Y`	`false`	`true`	`false`	`true`
0	`false`	`false`	`false`	`false`	`false`
1	`false`	`false`	`false`	`true`	`X and Y`
2	`false`	`false`	`true`	`false`	`X ncond Y`
3	`false`	`false`	`true`	`true`	`X`
4	`false`	`true`	`false`	`false`	`Y ncond X`
5	`false`	`true`	`false`	`true`	`Y`
6	`false`	`true`	`true`	`false`	`X xor Y`
7	`false`	`true`	`true`	`true`	`X or Y`
8	`true`	`false`	`false`	`false`	`X nor Y`
9	`true`	`false`	`false`	`true`	`X nxor Y`
10	`true`	`false`	`true`	`false`	`not Y`
11	`true`	`false`	`true`	`true`	`Y cond X`
12	`true`	`true`	`false`	`false`	`not X`
13	`true`	`true`	`false`	`true`	`X cond Y`
14	`true`	`true`	`true`	`false`	`X nand Y`
15	`true`	`true`	`true`	`true`	`true`