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[Wikineurotic] Wiki page BPFK Section: Mathematical Constants changed by selpa'i



The page BPFK Section: Mathematical Constants was changed by selpa'i at 20:59 UTC

You can view the page by following this link:
 
http://www.lojban.org/tiki/BPFK%20Section%3A%20Mathematical%20Constants

You can view a diff back to the previous version by following this link: 
http://www.lojban.org/tiki/tiki-pagehistory.php?page=BPFK%20Section%3A%20Mathematical%20Constants&compare=1&oldver=16&newver=17


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The changes in this version follow below, followed after by the current full page text.
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+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
@@ -Lines: 3-7 changed to +Lines: 3-7 @@
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+

!!! Proposed Definition
- Question word to which the answer is a number
+ Number question. A question word to which the answer is a number.

!!! Proposed Tag

+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
@@ -Lines: 9-13 changed to +Lines: 9-13 @@
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+

!!! See Also
- 
+ * {ma}

!!! Proposed Keywords

+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
@@ -Lines: 17-23 changed to +Lines: 17-21 @@
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
!!! Usage Examples

- ;.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:''&quot;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.&quot;''<br /><br />;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):''Vensa, Birti asked how many French people who are also Lojbanists exist and wonder if anybody will translate French things to Lojban.''
+ ;xo gerku cu xabju lo zdani be do:''How many dogs live in your house?''

!!! Notes

+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
@@ -Lines: 31-35 changed to +Lines: 29-33 @@
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+

!!! Proposed Definition
- Infinity; when followed by a number, denotes a transfinite cardinal, such as {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 {SUB()}0{SUB}.
+ Infinity. When followed by a number, it denotes a transfinite cardinal, such as {SUB()}0{SUB}. 

!!! Proposed Tag

+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
@@ -Lines: 37-41 changed to +Lines: 35-39 @@
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+

!!! See Also
- 
+ * {cimni}

!!! Proposed Keywords

+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
@@ -Lines: 44-50 changed to +Lines: 42-46 @@
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
!!! Usage Examples

- ;ni'u ci'i prenu cu prami mi:''There are an infinitely negative number of people that love me. (best approximation)''<br /><br />;du'o la .gugl. lo cmaci prenu cu tugni fi lo du'u me'o ci'i vu'u ci'i na se smuni:''Google knows that math people agree with the position that infinity minus infinity is uninterpretable.''
+ ;ci'i da mulna'usle:''There are infinitely many prime numbers.''

!!! Notes

+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
@@ -Lines: 52-55 changed to +Lines: 48-52 @@
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+

!!! 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}.

{BOX}

+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
@@ -Lines: 67-71 changed to +Lines: 64-69 @@
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+

!!! Proposed Keywords
- 
+ * imaginary number<br />* imaginary i

!!! Usage Examples

+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
@@ -Lines: 93-101 changed to +Lines: 91-98 @@
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
* pi
* π
- * mathematical constant

!!! Usage Examples

- ;.i li pai namcu .i loi pai gusta ku cizra se viska:''Pi is a number. There are pi restaurants which collectively are seen very strangely.''
+ ;li pai du li ji'i ci pi pa vo pa xa:''Pi is approximately equal to 3.1416.''

!!! Notes

+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
@@ -Lines: 122-126 changed to +Lines: 119-123 @@
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+

!!! Usage Examples
- ;li te'o te'a ka'o bi'e pi'i pai su'i pa du li no:''e''{SUP()}''i'' *{SUP}+1=0
+ ;li te'o te'a ka'o bi'e pi'i pai su'i pa du li no:''''e''{SUP()}''i'' *{SUP}+1=0''

!!! Notes

+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
@@ -Lines: 134-138 changed to +Lines: 131-135 @@
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+

!!! Proposed Definition
- Null operand; inspecific number or placeholder digit
+ Null operand. A placeholder digit used in MEX operations that are grammatically binary, but semantically unary.

!!! Proposed Tag

+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
@@ -Lines: 143-156 changed to +Lines: 140-149 @@
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+

!!! Proposed Keywords
- 
+ * null operand<br />* placeholder digit

!!! Usage Examples

- ;ta'o ji'a mi pu za gunka tu'o le lojbo samrxuebe pagbu:''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:''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:''I kinda expect to believe that supposedly the BPFK would select some number of full-stops.''<br />%%%
+ ;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''






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{BOX()}

!! 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



{BOX}

{BOX()}

!! 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}.



{BOX}

{BOX()}

!! 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



{BOX}

{BOX()}

!! 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



{BOX}

{BOX()}

!! 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



{BOX}

{BOX()}

!! 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





!!! 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]



{BOX}



!! General Section Issues




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