# History: BPFK Section: Mathematical Constants

## cmavo xo (PA5)

### Proposed Definition

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

• {ma}

• what number?
• how many?

### Usage Examples

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

## cmavo ci'i (PA5)

### Proposed Definition

Infinity. When followed by a number, it denotes a transfinite cardinal, such as â„µ0.

• {cimni}

• infinity

### Usage Examples

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

### 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 Ï‰0.

## 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 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.

## cmavo pai (PA5)

### Proposed Definition

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

• {te'o}

• pi
• Ï€

### Usage Examples

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

## cmavo te'o (PA5)

### Proposed Definition

e (â„¯), Euler's number

• {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 *ðœ‹+1=0

## cmavo tu'o (PA5)

### Proposed Definition

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

• {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

## History

Information Version
Thu 21 of Aug, 2014 14:33 GMT Ilmen from 95.210.209.219 Adding a word link.
Tue 17 of Jun, 2014 20:59 GMT selpa'i from 93.220.99.115
Mon 09 of Jun, 2014 20:46 GMT Ilmen from 128.140.133.185 Better definition
Mon 09 of Jun, 2014 20:37 GMT Ilmen from 128.140.133.185 Minor edit
Mon 09 of Jun, 2014 20:37 GMT Ilmen from 128.140.133.185 Minor formatting
Mon 09 of Jun, 2014 20:36 GMT Ilmen from 128.140.133.185 Formatting
Mon 09 of Jun, 2014 20:31 GMT Ilmen from 128.140.133.185 Formatting
Sun 08 of Jun, 2014 19:29 GMT mukti from 216.194.27.154
Fri 15 of Oct, 2010 20:44 GMT lindarthebard from 32.174.46.157
Tue 07 of Sep, 2010 18:00 GMT eyeonus from 96.18.103.113
Fri 08 of Jul, 2005 03:26 GMT PierreAbbat from 216.189.113.150 transfinite ordinal, expand defs, add example
Fri 08 of Jul, 2005 03:14 GMT PierreAbbat from 216.189.113.150 template
Thu 07 of Jul, 2005 08:43 GMT PierreAbbat from 216.189.113.165 Delete {no'o}; it's in Inexact Numbers.
Fri 17 of Sep, 2004 18:06 GMT rlpowell from 198.6.50.155
Mon 30 of Aug, 2004 01:20 GMT PierreAbbat from 216.189.121.177 the rest of the words to define
Mon 30 of Aug, 2004 00:09 GMT rlpowell from 64.81.49.171
Sun 29 of Aug, 2004 11:12 GMT PierreAbbat from 216.189.121.177 fix wrong paste
Sun 29 of Aug, 2004 11:05 GMT PierreAbbat from 216.189.121.177 start