History: BPFK Section: Mathematical Constants

Source of version: 18 (current)

{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 * {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] {BOX} !! General Section Issues