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...ion''' is a name occasionally used for one of the [[Function (mathematics)|functions]] * E W Lemmon, R Span, 2006, ''Short Fundamental Equations of State for 20 Industrial Fluids'', J. Chem. Eng. Data '''51''' (3), 785–850 {{doi| ...

...using multiscale spectral and [[manifold learning]] methods. Proto-value functions are generated by [[Spectral graph theory|spectral analysis]] of a graph, us ...adevan, S. [https://dl.acm.org/doi/pdf/10.1145/1102351.1102421 Proto-Value Functions: Developmental Reinforcement Learning]. Proceedings of the International Co ...

...for each vertex ''i'' of ''Y'' taken from a finite set ''K''. The ''system state'' is the ''n''-tuple ''x'' = (''x''₁, ''x''₂, ... , ' ...vertex function maps the state of vertex ''i'' at time ''t'' to the vertex state at time ''t'' + 1 based on the states associated to the 1-neighbo ...

...te journal | doi = 10.1107/S0108767395000365| title = On the use of crenel functions for occupationally modulated structures| journal = Acta Crystallographica S ...QC&pg=PA30|year=2008|isbn=978-0-549-61737-2|pages=30–31|publisher=Michigan State University. Department of Chemistry }}</ref> ...

...tool used to analyze the [[stability theory|stability]] of the synchronous state in a [[dynamical system]] consisting of many identical systems which are co ...of the system of oscillators is where all the oscillators are in the same state. ...

...ility density function]]s on the real line. The class contains the density functions of all distributions that have [[Characteristic function (probability theor ...obability density functions are exponential-polynomial-trigonometric (EPT) functions. ...

Gimli has a 384-bit state represented by a 3×4 [[Matrix (mathematics)|matrix]] of 32-bit words. A col ...he round number or {{Mono|0x9e377900}} is xored into the first word of the state. ...

...=Illustration of the sponge construction |The sponge construction for hash functions. ''P_i'' are blocks of the input string, ''Z_i'' are ha ...any length and produce an output bit stream of any desired length. Sponge functions have both theoretical and practical uses. They can be used to model or impl ...

...exhibit a notion of "[[Lyapunov stability]]" in terms of returning to any state while starting from it within a finite time interval. Consider an irreducible discrete-time Markov chain on a countable state space <math>S</math> having a [[Stochastic matrix|transition probability ma ...

[[Finite-state machine]]s (FSMs) are widely used to implement [[control logic]] in various ...s to a next-state; the output function maps the primary inputs and present-state onto the primary outputs. Any deterministic sequential function can be repr ...

...ion, estimating [[Correlation function (statistical mechanics)|correlation functions]], and predicting [[Entropy of entanglement|entanglement entropy]].<ref nam ...olve [[ground state]]s of quantum many-body systems and classify quantum [[State of matter|phases of matter]]. ...

...it down to a fixed bit-length (either 224, 256, 384 or 512 bits). The hash functions for the different output lengths are called Fugue-224, Fugue-256, Fugue-384 ...t is also claimed to be competitive with the NIST hash function [[SHA hash functions|SHA-256]] in both software and hardware efficiency, achieving up to 36.2 [[ ...

...analysis is called [[quaternionic analysis]]). A second instance involves functions of a [[motor variable]] where arguments are [[split-complex number]]s. ...there are hypercomplex systems called [[Clifford algebra]]s. The study of functions with arguments from a Clifford algebra is called [[Clifford analysis]]. ...

...connects the past state <math>\,x(-t)</math> of the system with the future state <math>\,x(t)</math> of the system by the formula <math>\,x(-t)=F(t,x(t)).</ ...rable in [[Numerical integration|quadrature]] systems even in [[elementary functions]]. ...

...hm structure, including structural components, namely data structures, and functions. Third, the definition of the particle state transition function. ...

...ersity]].<ref name=homepage>{{cite web|title=James W. Cogdell|website=Ohio State University|url=https://people.math.osu.edu/cogdell.1/}} (with online links ...neral linear group]]s <math>GL_n</math>. The goal is to characterize the L-functions that originate from automorphic forms. For <math>GL_2</math> this was solve ...

...ads to the filtering of lower frequency inputs signals, leaving the steady state output unaffected by unwanted low frequency inputs. ...wash out” sensed input signals that is of lower frequency (constant steady-state signal). [C.K. Wang] ...

...al gas]], and <math>X^{res}</math> is the residual property. The reference state is typically incorporated into the ideal gas contribution to the value, as ...e property for an ideal gas at <math>(T, V, n) </math> from this reference state. ...

...E; Gouda, Mohamed G. Deciding Progress for a Class of Communicating Finite State Machines. Austin: University of Texas at Austin, 1983.</ref> The advantage of communicating finite-state machines is that they make it possible to decide many properties in communi ...

...[[Matthias Troyer]]<ref name="CarleoTroyer:2016" /> to approximate [[wave functions]] of [[many-body]] [[quantum]] systems. Given a [[many-body quantum state]] <math> |\Psi\rangle </math> comprising <math> N </math> degrees of freedo ...