Notes

• Mathematical operators take one or more operands, which are here referred to by an 'x' subscripted with a number.
• Operators defined here as "unary" must have no more than one operand that is not equal to tu'o (referred to simply as "the operand" within the respective definitions) and which may occur at any position in the operator's operand list.
  • See also: CLL section 18.16, example 16.3 and the paragraph before it, in which the operand of va'a is in the x_1 place; CLL section 18.14, example 14.1, in which the operand of va'a is in the x_2 place.
• If all operands of an operator are tu'o, the value of the expression is equal to tu'o.
• When an expression is here said to be "undefined," it means that, in the absence of external information about the interpretation of the expression, it is semantically void, meaningless, and/or nonsensical.

Proposed Definitions And Examples

cmavo: fu'u (VUhU0)

Current definition

unspecif operator — n-ary mathematical operator: elliptical/unspecified mathematical expression (mex) operator -

Proposed definition

elliptical/unspecified mathematical operator

Proposed keyword

• unspecified operator

Examples of fu'u Usage

Notes

• This is the semantic analogue of zo'e, co'e, et alii.

Proposed Definition of ge'a

ge'a (VUhU0)

null operator — mathematical operator: null mathematical expression (mex) operator (used in >2-ary ops) --

• Keywords:

Examples of ge'a Usage

Proposed Definition of fe'i

fe'i (VUhU1)

divided by — n-ary mathematical operator: divided by; division operator; (((a / b) / c) / ...) --

• Keywords:

Examples of fe'i Usage

Proposed Definition of pi'i

pi'i (VUhU1)

times — n-ary mathematical operator: times; multiplication operator; (((a * b) * c) * ...) --

• Keywords:

Examples of pi'i Usage

Proposed Definition of su'i

su'i (VUhU1)

plus — n-ary mathematical operator: plus; addition operator; (((a + b) + c) + ...) --

• Keywords:

Examples of su'i Usage

Proposed Definition of vu'u

vu'u (VUhU1)

minus — n-ary mathematical operator: minus; subtraction operator; (((a - b) - c) - ...) --

• Keywords:

Examples of vu'u Usage

Proposed Definition of fa'i

fa'i (VUhU2)

reciprocal of — unary mathematical operator: reciprocal; multiplicative inverse; 1/a --

• Keywords:

Examples of fa'i Usage

cmavo: gei (VUhU2)

Current definition

exponential notation — trinary mathematical operator: order of magnitude/value/base; b * (c to the a power) --

Proposed definition

scientific notation: x_2 * (x_3 ^ x_1); x_2 defaults to 1; x_3 defaults to 10

Proposed keyword

• scientific notation

Examples of gei Usage

li cinonoki'oki'o du li bi gei ci

300,000,000 = 3 * 10^8 (CLL, §18.14, example 14.2)

gei reno

10^20 (CLL, §18.14, example 14.3)

papano bi'eju'u re gei pipanopano bi'eju'u re ge'a re

.1010_2 * 2 ^ 110_2 (CLL, §18.14, example 14.4)

Proposed Definition of ju'u

ju'u (VUhU2)

number base — binary mathematical operator: number base; a interpreted in the base b --

• Keywords:

Examples of ju'u Usage

Proposed Definition of pa'i

pa'i (VUhU2)

ratio — binary mathematical operator: ratio; the ratio of a to b --

• Keywords:

Examples of pa'i Usage

Proposed Definition of te'a

te'a (VUhU2)

to the power — binary mathematical operator: to the power; exponential; a to the b power --

• Keywords:

Examples of te'a Usage

Proposed Definition of cu'a

cu'a (VUhU3)

absolute value — unary mathematical operator: absolute value/norm |a| --

• Keywords:

Examples of cu'a Usage

Proposed Definition of de'o

de'o (VUhU3)

logarithm — binary mathematical operator: logarithm; log/ln a to base b; default base 10 or e --

• Keywords:

Examples of de'o Usage

Proposed Definition of fe'a

fe'a (VUhU3)

nth root of — binary mathematical operator: nth root of; inverse power a to the 1/b power --

• Keywords:

Examples of fe'a Usage

Proposed Definition of ne'o

ne'o (VUhU3)

factorial — unary mathematical operator: factorial; a! --

• Keywords:

Examples of ne'o Usage

Proposed Definition of va'a

va'a (VUhU3)

additive inverse — unary mathematical operator: additive inverse; - a --

• Keywords:

Examples of va'a Usage

Proposed Definition of pi'a

pi'a (VUhU4)

matrix of rows — n-ary mathematical operator: operands are vectors to be treated as matrix rows --

• Keywords:

Examples of pi'a Usage

Proposed Definition of re'a

re'a (VUhU4)

transpose — unary mathematical operator: matrix transpose/dual; A* --

• Keywords:

Examples of re'a Usage

Proposed Definition of ri'o

ri'o (VUhU4)

integral — trinary mathematical operator: integral of a with respect to b over range c --

• Keywords:

Examples of ri'o Usage

Proposed Definition of sa'i

sa'i (VUhU4)

matrix of columns — n-ary mathematical operator: operands are vectors to be treated as matrix columns --

• Keywords:

Examples of sa'i Usage

Proposed Definition of sa'o

sa'o (VUhU4)

derivative — trinary mathematical operator: derivative of a with respect to b of degree c --

• Keywords:

Examples of sa'o Usage

Proposed Definition of si'i

si'i (VUhU4)

sigma summation — trinary mathematical operator: sigma summation of a using variable b over range c --

• Keywords:

Examples of si'i Usage

Impact