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. | |||
=== | ==== 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 ==== | |||
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=== cmavo ci'i (PA5) === | |||
< | ==== Proposed Definition ==== | ||
Infinity. When followed by a number, it denotes a transfinite cardinal, such as ℵ<sub>0</sub>. | |||
==== 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 ω<sub>0</sub>. | |||
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=== 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 ==== | ||
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=== 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 ==== | ||
=== | {{BPFK Section box close}} | ||
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=== 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:''''e''<sup>''i'' *𝜋</sup>+1=0'' | |||
==== | ==== Notes ==== | ||
==== Issues ==== | |||
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=== 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 ==== | |||
[http://groups.google.com/group/lojban/browse_thread/thread/1174052e98a26c31 Mailing 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