About: Mixed radix

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Mixed radix numeral systems are non-standard positional numeral systems in which the numerical base varies from position to position. Such numerical representation applies when a quantity is expressed using a sequence of units that are each a multiple of the next smaller one, but not by the same factor. Such units are common for instance in measuring time; a time of 32 weeks, 5 days, 7 hours, 45 minutes, 15 seconds, and 500 milliseconds might be expressed as a number of minutes in mixed-radix notation as: ... 32, 5, 7, 45; 15, 500... ∞, 7, 24, 60; 60, 1000 or as 32∞577244560.15605001000

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rdfs:label	Raíz mixta (es) Numération à bases mixtes (fr) Mixed radix (en)
rdfs:comment	Los sistemas de numeración de raíz mixta (o también base combinada) son sistemas de numeración posicionales no estándar en los que la base o raíz varía de una posición a otra. Tal representación numérica es ventajosa cuando se quieren representar unidades que son equivalentes a otras pero tienen diferente ratio. Por ejemplo, 32 semanas, 5 días, 7 horas, 45 minutos, 15 segundos y 500 milisegundos podrían escribirse en minutos en una notación de raíz mixta como: ... 32, 5, 7, 45; 15, 500... 52, 7, 24, 60; 60, 1000 o como 3252577244560.15605001000 (es) Mixed radix numeral systems are non-standard positional numeral systems in which the numerical base varies from position to position. Such numerical representation applies when a quantity is expressed using a sequence of units that are each a multiple of the next smaller one, but not by the same factor. Such units are common for instance in measuring time; a time of 32 weeks, 5 days, 7 hours, 45 minutes, 15 seconds, and 500 milliseconds might be expressed as a number of minutes in mixed-radix notation as: ... 32, 5, 7, 45; 15, 500... ∞, 7, 24, 60; 60, 1000 or as 32∞577244560.15605001000 (en) Un système de numération à bases mixtes, dit aussi à bases de Cantor, ou encore à base variable, est un système de numération dans lequel la base varie selon sa place dans la notation positionnelle du nombre, au lieu d'être fixe, comme c'est le cas, par exemple dans le système décimal où la base est toujours 10, ou dans le système binaire où la base est toujours 2. On trouve de tels systèmes en métrologie. L'exemple le plus courant est le comptage du temps où une semaine compte 7 jours ; un jour, 24 heures ; une heure, 60 minutes une minute, 60 secondes ; une seconde, 100 centièmes de seconde. (fr)
dcterms:subject	Non-standard positional numeral systems
Wikipage page ID	249726 (xsd:integer)
Wikipage revision ID	1031409431 (xsd:integer)
Link from a Wikipage to another Wikipage	Pound Sterling Haab' Decimal Permutation Vigesimal Permutations Mathematical induction Maya calendar Coins Full stop Georg Cantor Cooley–Tukey FFT algorithm Non-standard positional numeral systems J programming language Currency Duodecimal Numeral system Base 13 Base 24 Quaternary numeral system Radix Radix point APL programming language Banknotes Donald Knuth Semicolon United States customary units Factorial The Art of Computer Programming Non-standard positional numeral systems Octodecimal Septenary Sexagesimal Tzolk'in Preferred values dbr:Trigesimal
Link from a Wikipage to an external page	https://csharpcodewhisperer.blogspot.com/2015/10/mixed-radix-numeral-system-class-and.html
sameAs	Mixed radix Mixed radix Mixed radix Mixed radix Mixed radix Mixed radix Mixed radix
dbp:wikiPageUsesTemplate	dbt:ISBN dbt:Main dbt:No_footnotes dbt:Numeral_systems dbt:Short_description
has abstract	Los sistemas de numeración de raíz mixta (o también base combinada) son sistemas de numeración posicionales no estándar en los que la base o raíz varía de una posición a otra. Tal representación numérica es ventajosa cuando se quieren representar unidades que son equivalentes a otras pero tienen diferente ratio. Por ejemplo, 32 semanas, 5 días, 7 horas, 45 minutos, 15 segundos y 500 milisegundos podrían escribirse en minutos en una notación de raíz mixta como: ... 32, 5, 7, 45; 15, 500... 52, 7, 24, 60; 60, 1000 o como 3252577244560.15605001000 En el formato tabular, los dígitos son escritos sobre su base y un punto y coma es usado para indicar el punto de base. En formato numeral, cada dígito tiene su base asociada adjunta como subíndice y la posición del punto de base es indicado por un punto. (es) Mixed radix numeral systems are non-standard positional numeral systems in which the numerical base varies from position to position. Such numerical representation applies when a quantity is expressed using a sequence of units that are each a multiple of the next smaller one, but not by the same factor. Such units are common for instance in measuring time; a time of 32 weeks, 5 days, 7 hours, 45 minutes, 15 seconds, and 500 milliseconds might be expressed as a number of minutes in mixed-radix notation as: ... 32, 5, 7, 45; 15, 500... ∞, 7, 24, 60; 60, 1000 or as 32∞577244560.15605001000 In the tabular format, the digits are written above their base, and a semicolon indicates the radix point. In numeral format, each digit has its associated base attached as a subscript, and the radix point is marked by a full stop or period. The base for each digit is the number of corresponding units that make up the next larger unit. As a consequence there is no base (written as ∞) for the first (most significant) digit, since here the "next larger unit" does not exist (and note that one could not add a larger unit of "month" or "year" to the sequence of units, as they are not integer multiples of "week"). (en) Un système de numération à bases mixtes, dit aussi à bases de Cantor, ou encore à base variable, est un système de numération dans lequel la base varie selon sa place dans la notation positionnelle du nombre, au lieu d'être fixe, comme c'est le cas, par exemple dans le système décimal où la base est toujours 10, ou dans le système binaire où la base est toujours 2. On trouve de tels systèmes en métrologie. L'exemple le plus courant est le comptage du temps où une semaine compte 7 jours ; un jour, 24 heures ; une heure, 60 minutes une minute, 60 secondes ; une seconde, 100 centièmes de seconde. En mathématiques, l'utilisation d'une numération à bases mixtes permet parfois de simplifier certains problèmes. (fr)
gold:hypernym	Systems
prov:wasDerivedFrom	wikipedia-en:Mixed_radix?oldid=1031409431&ns=0
page length (characters) of wiki page	8413 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Mixed_radix
is Link from a Wikipage to another Wikipage of	History of ancient numeral systems Permutation Numerical digit Liber Abaci List of numeral system topics List of numeral systems 0.999... Egyptian fraction Mixed Radix Combinatorial number system Up tack Logical block addressing Numeral system Radix Babylonian cuneiform numerals Arithmetic Bit-reversal permutation Sumer Tee (symbol) Double factorial Positional notation Metrication in the United Kingdom Factorial Factorial number system Non-standard positional numeral systems Steinhaus–Johnson–Trotter algorithm

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