BPFK Section: Mathematical Constants: Difference between revisions

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{{BPFK Section from tiki|BPFK Section: Mathematical Constants|18}}
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=== cmavo xo (PA5) ===


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


=== cmavo xo (PA5) ===
==== Proposed Tag ====


====  Proposed Definition ====


question word to which the answer is a number
==== See Also ====
* {ma}


==== Proposed Tag ====
==== Proposed Keywords ====
* what number?
* how many?


==== See Also ====
==== Usage Examples ====


====  Proposed Keywords ====
;xo gerku cu xabju lo zdani be do:''How many dogs live in your house?''


==== Usage Examples ====
==== Notes ====


.i xo jbopre cu ka'e jai galfi lo spofu gusni balji .i re mei pa jdice be lo du'u galfi fi ma kau be'o ku ce pa facki be lo du'u ma kau balji gi'e te gusni lo spofu<br />


<br />
==== Issues ====


"How many Lojbanists does it take to change a broken light bulb? Two, one to figure out what to change it into, and the other to figure out what kind of bulb emits broken light."<br />
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=== cmavo ci'i (PA5) ===


<br />
==== Proposed Definition ====
Infinity. When followed by a number, it denotes a transfinite cardinal, such as ℵ<sub>0</sub>.


doi la vensa la birti pu te preti fi lo du'u la'u xokau lo fraso prenu noi ji'a lojbo cu zasti  gi'e kucli lo du'u xukau ba xamgu zukte lo zu'o fanva zo'e la lojban lo fraso (mildly edited)<br />
==== Proposed Tag ====


Vensa, Birti asked how many French people who are also Lojbanists exist and wonder if anybody will translate French things to Lojban.


==== Notes ====
==== See Also ====
* {cimni}


==== Issues ====
==== Proposed Keywords ====
* infinity


{BOX}
==== Usage Examples ====


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


=== cmavo ci'i (PA5) ===
==== Notes ====


====  Proposed Definition ====


infinity; when followed by a number, denotes a transfinite cardinal, such as ℵ{SUB()}0{SUB}. 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 ω{SUB()}0{SUB}.
==== 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 ω<sub>0</sub>.


====  Proposed Tag ====
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=== cmavo ka'o (PA5) ===


==== See Also ====
==== 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 ====
==== Proposed Tag ====


====  Usage Examples ====


ni'u ci'i prenu cu prami mi<br />
==== See Also ====


There are an infinitely negative number of people that love me. (best approximation)<br />


<br />
==== Proposed Keywords ====
* imaginary number
* imaginary i


du'o la .gugl. lo cmaci prenu cu tugni fi lo du'u me'o ci'i vu'u ci'i na se smuni<br />
==== 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.''


Google knows that math people agree with the position that infinity minus infinity is uninterpretable.<br />
==== Notes ====


====  Notes ====


==== Issues ====
==== Issues ====


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=== cmavo pai (PA5) ===


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


=== cmavo ka'o (PA5) ===
==== Proposed Tag ====


====  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.
==== See Also ====
* {te'o}


==== Proposed Tag ====
==== Proposed Keywords ====
* pi
* π


==== See Also ====
==== Usage Examples ====


====  Proposed Keywords ====
;li pai du li ji'i ci pi pa vo pa xa:''Pi is approximately equal to 3.1416.''


==== Usage Examples ====
==== Notes ====


;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 ====


====  Issues ====
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=== cmavo te'o (PA5) ===


{BOX}
==== Proposed Definition ====
''e'' (ℯ), Euler's number


==== Proposed Tag ====


===  cmavo pai (PA5) ===


==== Proposed Definition ====
==== See Also ====
* {pai}


pi, circumference divided by diameter
==== Proposed Keywords ====
* Euler's number
* mathematical constant


==== Proposed Tag ====
==== Usage Examples ====
;li te'o te'a ka'o bi'e pi'i pai su'i pa du li no:''''e''<sup>''i'' *𝜋</sup>+1=0''


==== See Also ====
==== Notes ====


====  Usage Examples ====


.i li pai namcu .i loi pai gusta ku cizra se viska<br />
==== Issues ====


Pi is a number. There are pi restaurants which collectively are seen very strangely.<br />
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=== cmavo tu'o (PA5) ===


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


==== Issues ====
==== Proposed Tag ====


{BOX}


==== See Also ====
* {zi'o}


===  cmavo te'o (PA5) ===


==== Proposed Definition ====
==== Proposed Keywords ====
* null operand
* placeholder digit


e, Euler's number
==== Usage Examples ====


====  Proposed Tag ====
;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''


====  See Also ====


==== Proposed Keywords ====
==== Notes ====


====  Usage Examples ====


;li te'o te'a ka'o bi'e pi'i pai su'i pa du li no:"''e''{SUP()}''i'' *𝜋{SUP}+1=0"
==== Issues ====
[http://groups.google.com/group/lojban/browse_thread/thread/1174052e98a26c31 Mailing List Debate]


====  Notes ====
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====  Issues ====
=== General Section Issues ===
 
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===  cmavo tu'o (PA5) ===
 
====  Proposed Definition ====
 
null operand; inspecific number or placeholder digit
 
====  Proposed Tag ====
 
====  See Also ====
 
====  Proposed Keywords ====
 
====  Usage Examples ====
 
ta'o ji'a mi pu za gunka tu'o le lojbo samrxuebe pagbu<br />
 
Also, by the way, I worked on some number of web pages a while ago.<br />
 
<br />
 
doi broca mi gleki tu'o lo nu do na ca bilma<br />
 
Broca, I am glad about X number of times you aren't ill.<br />
 
<br />
 
mi ba'aru'e krici le nu da'i byfy cuxna tu'o lo denpa bu<br />
 
I kinda expect to believe that supposedly the BPFK would select some number of full-stops.<br />
 
<br />
 
====  Notes ====
 
====  Issues ====
 
[http://groups.google.com/group/lojban/browse_thread/thread/1174052e98a26c31 ailing List Debate]
 
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===  General Section Issues ===

Revision as of 22:55, 9 February 2015

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