BPFK Section: Mathematical Constants

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This page is imported from version 18 of the page BPFK Section: Mathematical Constants from the lojban Tiki.

cmavo xo (PA5)

Proposed Definition

Number question. A question word to which the answer is a number.

Proposed Tag

See Also

  • {ma}

Proposed Keywords

  • what number?
  • how many?

Usage Examples

xo gerku cu xabju lo zdani be do
How many dogs live in your house?

Notes

Issues

cmavo ci'i (PA5)

Proposed Definition

Infinity. When followed by a number, it denotes a transfinite cardinal, such as ℵ0.

Proposed Tag

See Also

  • {cimni}

Proposed Keywords

  • infinity

Usage Examples

ci'i da mulna'usle
There are infinitely many prime numbers.

Notes

Issues

As multiplication and exponentiation of transfinite ordinals is incompatible with that of cardinals, a new cmavo should be added for a transfinite ordinal, such as ω0.


cmavo ka'o (PA5)

Proposed Definition

i, imaginary unit. When followed by a real number, multiplies that number by i. If four real numbers are separated by three ka'o, the number is a quaternion, with the components in the order 1, i, j, k.

Proposed Tag

See Also

Proposed Keywords

  • imaginary number
  • imaginary i

Usage Examples

saclu fi'ure loi lujna'u li paka'opa .iku'i saclu piro loi lujna'u li ni'upaka'opa
Only half the complex numbers can be represented in base 1+i, but all complex numbers can be represented in base i-1.

Notes

Issues

cmavo pai (PA5)

Proposed Definition

The mathematical constant Pi (π), the ratio of a circle's circumference to its diameter.

Proposed Tag

See Also

  • {te'o}

Proposed Keywords

  • pi
  • π

Usage Examples

li pai du li ji'i ci pi pa vo pa xa
Pi is approximately equal to 3.1416.

Notes

Issues

cmavo te'o (PA5)

Proposed Definition

e (ℯ), Euler's number

Proposed Tag

See Also

  • {pai}

Proposed Keywords

  • Euler's number
  • mathematical constant

Usage Examples

li te'o te'a ka'o bi'e pi'i pai su'i pa du li no
'ei *𝜋+1=0

Notes

Issues

cmavo tu'o (PA5)

Proposed Definition

Null operand. A placeholder digit used in MEX operations that are grammatically binary, but semantically unary.

Proposed Tag

See Also

  • {zi'o}


Proposed Keywords

  • null operand
  • placeholder digit

Usage Examples

li fu'a ciboi muboi vu'u du li fu'a reboi tu'o va'a
3 5 - in reverse polish notation equals the negative of 2


Notes

Issues

Mailing List Debate


General Section Issues