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...that counts the number of distinct ''factors'' (substrings of consecutive symbols) of that string. More generally, the complexity function of a [[formal lang Let ''u'' be a (possibly infinite) sequence of symbols from an alphabet. Define the function ...

...r science, the '''critical exponent''' of a finite or infinite sequence of symbols over a finite alphabet describes the largest number of times a contiguous s ...e|editor1-link=Valérie Berthé|editor2=Ferenczi, Sébastien|editor3=Mauduit, Christian|editor4=Siegel, A. | title=Substitutions in dynamics, arithmetics and combi ...

...osea]], son of [[Beeri]], and this chapter contains the application of the symbols in [[Hosea 1|the first chapter]].<ref name=jfb/> It is a part of the [[Twel This article generally follows the common numbering in Christian English Bible versions, with notes to the numbering in Hebrew Bible version ...

...al languages. A formal language is any set of symbols and combinations of symbols that people use to communicate information.<ref name=Origins /> ...an be applied to words, where a factor of a word is a block of consecutive symbols.<ref name=Origins /> Thus, "cyclop" is a factor of "encyclopedia". ...

Like a word, a pattern (also called ''term'') is a sequence of symbols over some [[Alphabet (formal languages)|alphabet]]. *Let <math>n\in\Nu</math> represent the number of distinct symbols of pattern <math>p</math>. If <math>|p|\geq2^n</math>, then <math>p</math> ...

* Both the SYNC and the SFD sequences are furtherly time-divided into symbols. ...nsists of <math>N_{\mathrm{sync}} \in \{16,64,1024,4096\}</math> identical symbols. ...

...l]] in the [[Hebrew Bible]] or the [[Old Testament]] of the [[Christianity|Christian]] [[Bible]]. This book contains prophecies attributed to the [[Biblical pro ...lambush|2007|p=538}} The whole report of the vision uses 'the unmistakable symbols of Yahweh's presence for an Israelite reader'.{{sfn|Galambush|2007|p=538}} ...

...gs and fields|first-order theory of real closed fields]] has the following symbols:<ref name="mat14"/> *symbols <, ≤, =, ≥, >, and ≠ for comparisons of real values, ...

...b]] in the [[Hebrew Bible]] or the [[Old Testament]] of the [[Christianity|Christian]] [[Bible]].{{sfn|Halley|1965|p=243}}<ref name=Holman>Holman Illustrated Bi ...s of death' in two halves of the verse ("die", "expire") contrast the 'two symbols of life' in verse 12 ("knees to receive me", "breasts to nurse").{{sfn|Wils ...

...in the [[Hebrew Bible]]{{sfn|Hirsch|1906}} or the [[Old Testament]] of the Christian Bible.{{sfn|Collins|2014|p=421}}{{sfn|Hayes|2015|loc=Chapter 23}} This book This article generally follows the common numbering in Christian English Bible versions, with notes to the numbering in Hebrew Bible version ...

...|first1=William P. |last2=Figliuzzi |first2=Matteo |last3=Stocker |first3=Christian |last4=Barrat-Charlaix |first4=Pierre |last5=Socolich |first5=Michael |last ...> and represent an interaction, i.e. a term quantifying how compatible the symbols at both positions are with each other. The model is [[Network topology#Full ...

...pelsterne und einiger anderer Gestirne des Himmels}}''' is a treatise by [[Christian Doppler]] (1842)<ref>Some sources mention 1843 as year of publication becau | Equation Doppler<ref>Doppler uses other symbols for the variables than we usually do today: f = 1/n, f ' = 1/x, v<sub>o</su ...

...he Parikh-mapping (the mapping that "forgets" the relative position of the symbols in a string, effectively treating it as a bag of words) is a [[regular lang ...Applicability of Indexed Grammars to Natural Language]". In Uwe Reyle and Christian Rohrer, editors, ''Natural Language Parsing and Linguistic Theories'', page ...

...ally, the representation of 1 evolved from ancient Sumerian and Babylonian symbols to the modern Arabic numeral. ==Symbols and representation== ...

...ed trees to be replaced by [[Feynman diagram]]s with vertices decorated by symbols from a finite index set. Connes and Kreimer have also defined Hopf algebras *{{citation|title=Runge&ndash;Kutta methods and renormalization|first=Christian |last=Brouder|journal=Eur. Phys. J. C|volume= 12 |issue=3 |year=2000|pages= ...

...v3|Inception]] CNN architecture.<ref>{{Cite journal |last1=Szegedy |first1=Christian |last2=Vanhoucke |first2=Vincent |last3=Ioffe |first3=Sergey |last4=Shlens ...can take a list of caption-image pairs, convert the images into strings of symbols, and train a standard GPT-style transformer. Then at test time, one can jus ...

...pesel'') and "a cast metal icon" (Hebrew ''massemka''), which were used as symbols of a deity's indwelling presence (cf. Micah's words to the Danites in Judg * [[Christianity|Christian]] translations: ...

...a first step towards [[abstract algebra]], separating the manipulation of symbols from their arithmetic meaning. While symbolical algebra could mechanically ...more [[Deism|deist]] and join Martineau's [[Free Christians (Britain)|Free Christian Union]].{{sfn|De Morgan|De Morgan|1882|page=365}} ...

...n <math>E</math> must unify its two sides, one can use the [[multiset]] of symbols occurring on either side of <math>E</math> to deduce a linear equality in t ...ert |first1=Volker |last2=Gutierrez |first2=Claudio |last3=Hagenah |first3=Christian |date=2005-11-01 |title=The existential theory of equations with rational c ...

...pproach to study reasoning: it replaces concrete expressions with abstract symbols to examine the [[logical form]] of arguments independent of their concrete ...bulary and exact [[Syntax|syntactic rule]]s. These rules specify how their symbols can be combined to construct sentences, so-called [[well-formed formula]]s. ...