Proposed Definitions And Examples

cmavo: bi'e (BIhE)

Proposed Definition

Indicates an operator has precedence over unmarked operators. When an operator is prefixed with this cmavo, it becomes automatically of higher precedence than other operators not so prefixed. If more than one operator has a bi'e prefix, grouping is to the right; multiple bi'e prefixes on a single operator are not allowed.

Proposed Keywords

• High priority operator
• Precedence operator

Usage Examples

li ci su'i vo bi'e pi'i mu du li reci

3 + (4 × 5) = 23

Notes

This is distinct from the use of mathematical brackets {vei} and {ve'o}.

cmavo: fu'a (FUhA)

Proposed Definition

Marks the mekso expression as using Reverse Polish (RP) notation. RP notation is always marked by an explicit fu'a at the beginning of the expression. Operators acting in RP are required to have two operands (though {tu'o} and {ge'a} can assist when using unitary and ternary operators respectively).

Proposed Keywords

• Reverse Polish Flag

See also

• {pe'o} Forethought operator flag
• {tu'o} Null operand
• {ge'a} Null operator

Usage Examples

li fu'a reboi ci su'i du li mu

(RP) (2 3 +) = 5

li fu'a reboi ci pi'i voboi mu pi'i su'i du li rexa

(RP) (2 3 x) (4 5 x) + = 26

li fu'a ciboi muboi vu'u du li fu'a reboi tu'o va'a

(RP) (3 5 -) = (RP) (2 null) negative

li cinoki'oki'o du li fu'a biboi ciboi panoboi ge'a gei

30,000,000 = (RP) 8 (3 10 null) exp

Issues

It seems quite arbitrary that operators acting in reverse polish notation are required to have exactly 2 operands. Especially considering that in polish notation, operators are allowed to have as many operands as they like. It does not make semantic sense for all operators (for example the negation operator, used in the example usage above) Though there is a problem in determining which operands belong to which operator, and the solution currently is quite elegant to usage, it lacks symmetry with forethought equivalent and seems contrived. Perhaps {ku'e} could have its use extended from separating groups of operands in forethought mode to doing it in RP mode too.

Example li fu'a paboi ku'e biboi ciboi panoboi gei su'i du li cinoki'oki'opa

(RP) 1 (8 3 10 exp) + = 30,000,001

cmavo: jo'i (JOhI)

Proposed Definition

Joins a sequence of simple operands or bracketed full expressions into a vector. A vector may have any number of components. It's corresponding terminator {te'u} is elidable.

Proposed Keywords

• Vector flag

See also

• {te'u} Mekso terminator for NAhU, NIhE, MOhE, MAhO, and JOhI

Usage Examples

li jo'i paboi reboi te'u su'i jo'i ciboi voboi du li jo'i voboi xaboi

vector (1, 2) + vector (3, 4) = vector (4, 6)

Notes

It is the only member of selma'o JOhI

cmavo: ku'e (KUhE)

Proposed Definition

This is the elidable terminator of operators when they are acting in forethought mode. It serves to distinguish where the operands of one operator end and another begin.

Proposed Keywords

• Forethought operator terminator

See Also

• {pe'o} Forethought operator flag

Usage Examples

li py. su'i va'a ny. ku'e su'i zy du li xy.

p + (negative n) + z = x

cmavo: ma'o (MAhO)

This flag converts letteral string or other mathematical expression (mex) operand into a mex operator. Its elidable terminator is {te'u}.

Proposed Keywords

• Operand to Operator flag

Usage Examples

li zy du li ma'o fy.boi xy.

z = f(x)

Notes

The CLL has the following observation: There is a potential semantic ambiguity in ma'o fy. [te'u] if fy. is already in use as a variable: it comes to mean "the function whose value is always 'f' ". However, mathematicians do not normally use the same lerfu words or strings as both functions and variables, so this case should not arise in practice.

Proposed Definition of mo'e

mo'e (MOhE)

sumti to operand — convert sumti to mex operand; sample use in story arithmetic: 3 apples + 3 apples = what --

• Keywords:

Examples of mo'e Usage

Proposed Definition of na'u

na'u (NAhU)

selbri to operator — convert selbri to mex operator; used to create less-used operators using le'avla, lujvo, etc. --

• Keywords:

Examples of na'u Usage

Proposed Definition of ni'e

ni'e (NIhE)

selbri to operand — convert selbri to mex operand; used to create new non-numerical quantifiers; e.g. "herd" of oxen --

• Keywords:

Examples of ni'e Usage

Proposed Definition of nu'a

nu'a (NUhA)

operator to selbri — convert mathematical expression (mex) operator to a selbri/tanru component --

• Keywords:

Examples of nu'a Usage

Proposed Definition of pe'o

pe'o (PEhO)

fore mex operator — forethought flag for mathematical expression (mex) Polish (forethought) operator --

• Keywords:

Examples of pe'o Usage

Proposed Definition of te'u

te'u (TEhU)

end mex converters — elidable terminator: end conversion between non-mex and mex; usually elidable --

• Keywords:

Examples of te'u Usage

Proposed Definition of vei

vei (VEI)

left bracket — left (opening) mathematical bracket/parenthesis --

• Keywords: open paren (programming lingo version)

Examples of vei Usage

• li ny. du li ni'igi vei re su'i re {ve'o} gi vo
• vei ci .a vo {ve'o} prenu cu klama le zarci
• vei ga ci gi vo {ve'o} prenu cu klama le zarci

Proposed Definition of ve'o

ve'o (VEhO)

right bracket — right (closing) mathematical bracket/parenthesis --

• Keywords: close paren (programming lingo version)

Examples of ve'o Usage

• li te'o te'a {vei} pai pi'i ka'o ve'o su'i pa du li no
• li ma'o i bu boi te'u {vei} xy pi'i ny ve'o ku'e na'u du de'o re vei ny te'a ci
• fy du li cire su'i {vei} cy pi'i so fi'u mu ve'o

Notes

• ve'o is an elidable terminator
• vei and ve'o are necessary for any non-simple mekso used as a quantifier

Impact