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{{wiktionary|binary}} '''Binary''' may refer to: ...

{{Short description|Binary sequence used in telecommunications}} {{About|binary codes used in radiocommunications|the authentication codes used to command ...

...l]]. Such spread-spectrum systems require a set of one or more "codes" or "sequences" such that ...[[direct-sequence spread spectrum]] system, each bit in the [[pseudorandom binary sequence]] is known as a ''[[Chip (CDMA)|chip]]'' and the ''inverse'' of it ...

{{short description|Sequence of binary digits}} A '''bitstream''' (or '''bit stream'''), also known as '''binary sequence''', is a [[sequence]] of [[bit]]s. ...

...d; and from [[binary files]] in which some portions must be interpreted as binary objects (encoded integers, real numbers, images, etc.). ...d to be evaluated in a [[CPU]] representation like [[little endian]], is a binary file. ...

** "Binary group flag" bits BGF0 and BGF2 (bits 55 and 75 for 29.97/30 frame/s, bits 3 * Bit 74 ("Binary group flag 1") was previously unassigned, but is used to indicate that the ...

...is a [[Turing machine]] that computes it, in the sense that for any finite binary strings {{mvar|x}} and {{mvar|y}}, {{math|1=''F''(''x'') = ''y''}} [[if an ...y to enforce prefix-free-ness is to use machines whose means of input is a binary stream from which bits can be read one at a time. There is no end-of-stream ...

...y practical because other [[search algorithm]]s and schemes, such as the [[binary search algorithm]] and [[hash table]]s, allow significantly faster searchin ...d cost]], averaging over a worst-case sequence of operations (note - among sequences satisfying the assumption on probabilities), we have <math>S^{MF}\le 2S^{OP ...

* [[Binary symmetric channel]] (used in analysis of decoding error probability in case ...vided that a [[Bernoulli distribution|Bernoulli]] binary data source and a binary symmetrical channel are assumed, see below). ...

| image1 = Hamming distance 4 bit binary.svg | alt1 = 4-bit binary tesseract ...

...e each stretch can then be viewed as the postorder traversal of a balanced binary tree. In addition, the recurrence relation would be simpler. But I know wh ...] heap data structure (a [[Heap (data structure)|heap]]-ordered implicit [[binary tree]]), which occupies a prefix of the array. Each extraction shrinks the ...

...ins the number {{math|1}} at two different positions, is a valid sequence. Sequences can be ''[[Finiteness|finite]]'', as in these examples, or ''infinite'', su ...different ways to represent the sequence in [[computer memory]]. Infinite sequences are called ''[[stream (computing)|streams]]''. ...

{{Short description|Universal code which encodes positive integers into binary code words}} ...314X|url-access=subscription }}</ref> which encodes positive integers into binary [[Code word (communication)|code word]]s. It is one example of representati ...

...h> is in <math>Y</math> but <math>(1, 1, 1, 1, \ldots)</math> is not. Both sequences are in the direct product <math>X;</math> in fact, <math>Y</math> is a prop == Direct product of binary relations == ...

...ally proceeds to discuss the properties of random variables and stochastic sequences assuming some definition of randomness. The [[Nicolas Bourbaki|Bourbaki sch ...never totally formalized his definition of a proper selection rule for sub-sequences, but in 1940 [[Alonzo Church]] defined it as any [[recursion#Functional rec ...

...eneralize the concept to ''infinitary relations'' with [[Sequence|infinite sequences]].{{sfn|ps=|Nivat|1981}} ...x''₁⋯''x''_''n''''R''}}. In the case where ''R'' is a binary relation, those statements are also denoted using [[infix notation]] by {{m ...

...ar, is identified by unary features indicating the active articulator, and binary subfeatures that distinguish further). For example, [p], the voiceless bila ...d to them. In the autosegmental formalism, this is depicted by placing the binary subfeature at a horizontal offset from the unary feature and connecting the ...

...[Augustin-Louis Cauchy]]; they may occasionally be known as '''fundamental sequences'''.<ref>{{cite book|first=Heinz-Dieter |last=Ebbinghaus|title=Numbers|place ...s lies in the fact that in a [[complete metric space]] (one where all such sequences are known to [[Limit of a sequence|converge to a limit]]), the criterion fo ...

...titute for a [[line code]], which, through a coding step, removes unwanted sequences. ...randomness|pseudo-randomly]] selecting bits to invert), thus avoiding long sequences of bits of the same value; in this context, a randomizer is also referred t ...

[[File:NRZcode.png|thumb|right|upright=1.4|The binary signal is encoded using rectangular pulse-amplitude modulation with polar N ...a '''non-return-to-zero''' ('''NRZ''') [[line code]] is a [[Binary coding|binary]] code in which ones are represented by one [[significant condition]], usua ...