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The bidirectional reflectance distribution function (BRDF), symbol
f
r
(
ω
i
,
ω
r
)
... | Wikipedia/Bidirectional_reflectance_distribution_function |
In 3D computer graphics, radiosity is an application of the finite element method to solving the rendering equation for scenes with surfaces that reflect light diffusely. Unlike rendering methods that use Monte Carlo algorithms (such as path tracing), which handle all types of light paths, typical radiosity only accou... | Wikipedia/Radiosity_(computer_graphics) |
In numerical analysis, the quasi-Monte Carlo method is a method for numerical integration and solving some other problems using low-discrepancy sequences (also called quasi-random sequences or sub-random sequences) to achieve variance reduction. This is in contrast to the regular Monte Carlo method or Monte Carlo integ... | Wikipedia/Quasi-Monte_Carlo_method |
The Phong reflection model (also called Phong illumination or Phong lighting) is an empirical model of the local illumination of points on a surface designed by the computer graphics researcher Bui Tuong Phong. In 3D computer graphics, it is sometimes referred to as "Phong shading", particularly if the model is used wi... | Wikipedia/Phong_reflection_model |
In 3D computer graphics rendering, a hemicube is one way to represent a 180° view from a surface or point in space.
== What is Hemicube? ==
A hemicube is a data structure used in computer graphics to represent a 180° view from a surface or point in space. It is a cube that has been cut in half along a plane parallel ... | Wikipedia/Hemicube_(computer_graphics) |
Wireless sensor networks (WSNs) refer to networks of spatially dispersed and dedicated sensors that monitor and record the physical conditions of the environment and forward the collected data to a central location. WSNs can measure environmental conditions such as temperature, sound, pollution levels, humidity and win... | Wikipedia/Wireless_sensor_network |
Computer network programming involves writing computer programs that enable processes to communicate with each other across a computer network.
== Connection-oriented and connectionless communications ==
Very generally, most of communications can be divided into connection-oriented, and connectionless. Whether a comm... | Wikipedia/Computer_network_programming |
The Media Gateway Control Protocol (MGCP) is a telecommunication protocol for signaling and call control in hybrid voice over IP (VoIP) and traditional telecommunication systems. It implements the media gateway control protocol architecture for controlling media gateways connected to the public switched telephone netwo... | Wikipedia/Media_Gateway_Control_Protocol |
Open Network Computing (ONC) Remote Procedure Call (RPC), commonly known as Sun RPC is a remote procedure call system. ONC was originally developed by Sun Microsystems in the 1980s as part of their Network File System project.
ONC is based on calling conventions used in Unix and the C programming language. It serialize... | Wikipedia/Open_Network_Computing_Remote_Procedure_Call |
A software design description (a.k.a. software design document or SDD; just design document; also Software Design Specification) is a representation of a software design that is to be used for recording design information, addressing various design concerns, and communicating that information to the design’s stakeholde... | Wikipedia/Software_design_document |
Fundamental modeling concepts (FMC) provide a framework to describe software-intensive systems. It strongly emphasizes the communication about software-intensive systems by using a semi-formal graphical notation that can easily be understood.
== Introduction ==
FMC distinguishes three perspectives to look at a softwa... | Wikipedia/Fundamental_modeling_concepts |
A software design description (a.k.a. software design document or SDD; just design document; also Software Design Specification) is a representation of a software design that is to be used for recording design information, addressing various design concerns, and communicating that information to the design’s stakeholde... | Wikipedia/Software_Design_Description |
In software engineering, a software design pattern or design pattern is a general, reusable solution to a commonly occurring problem in many contexts in software design. A design pattern is not a rigid structure to be transplanted directly into source code. Rather, it is a description or a template for solving a partic... | Wikipedia/Design_pattern_(computer_science) |
User-centered design (UCD) or user-driven development (UDD) is a framework of processes in which usability goals, user characteristics, environment, tasks and workflow of a product, service or brand are given extensive attention at each stage of the design process. This attention includes testing which is conducted dur... | Wikipedia/User_centered_design |
The systems modeling language (SysML) is a general-purpose modeling language for systems engineering applications. It supports the specification, analysis, design, verification and validation of a broad range of systems and systems-of-systems.
SysML was originally developed by an open source specification project, and ... | Wikipedia/Systems_Modeling_Language |
In mathematics, the Iwasawa algebra Λ(G) of a profinite group G is a variation of the group ring of G with p-adic coefficients that take the topology of G into account. More precisely, Λ(G) is the inverse limit of the group rings Zp(G/H) as H runs through the open normal subgroups of G. Commutative Iwasawa algebras we... | Wikipedia/Iwasawa_algebra |
The mathematical disciplines of combinatorics and dynamical systems interact in a number of ways. The ergodic theory of dynamical systems has recently been used to prove combinatorial theorems about number theory which has given rise to the field of arithmetic combinatorics. Also dynamical systems theory is heavily inv... | Wikipedia/Combinatorics_and_dynamical_systems |
In algebraic geometry and number theory, the torsion conjecture or uniform boundedness conjecture for torsion points for abelian varieties states that the order of the torsion group of an abelian variety over a number field can be bounded in terms of the dimension of the variety and the number field. A stronger version... | Wikipedia/Uniform_boundedness_conjecture_for_torsion_points |
In mathematics, the arithmetic of abelian varieties is the study of the number theory of an abelian variety, or a family of abelian varieties. It goes back to the studies of Pierre de Fermat on what are now recognized as elliptic curves; and has become a very substantial area of arithmetic geometry both in terms of res... | Wikipedia/Manin-Mumford_conjecture |
In arithmetic geometry, the uniform boundedness conjecture for rational points asserts that for a given number field
K
{\displaystyle K}
and a positive integer
g
≥
2
{\displaystyle g\geq 2}
, there exists a number
... | Wikipedia/Uniform_boundedness_conjecture_for_rational_points |
In mathematics, the Birch and Swinnerton-Dyer conjecture (often called the Birch–Swinnerton-Dyer conjecture) describes the set of rational solutions to equations defining an elliptic curve. It is an open problem in the field of number theory and is widely recognized as one of the most challenging mathematical problems... | Wikipedia/Birch_Swinnerton-Dyer_Conjecture |
Cadence Design Systems, Inc. (stylized as cādence) is an American multinational technology and computational software company. Headquartered in San Jose, California, Cadence was formed in 1988 through the merger of SDA Systems and ECAD. Initially specialized in electronic design automation (EDA) software for the semico... | Wikipedia/Valid_Logic_Systems |
Functional safety is the part of the overall safety of a system or piece of equipment that depends on automatic protection operating correctly in response to its inputs or failure in a predictable manner (fail-safe). The automatic protection system should be designed to properly handle likely systematic errors, hardwar... | Wikipedia/Functional_safety |
Electronic Design magazine, founded in 1952, is an electronics and electrical engineering trade magazine and website.
== History ==
Hayden Publishing Company began publishing the bi-weekly magazine Electronic Design in December 1952, and was later published by InformaUSA, Inc.
In 1986, Verenigde Nederlandse Uitgeveri... | Wikipedia/Electronic_Design_(magazine) |
In semiconductor device fabrication, the inverse lithography technology (ILT) is an optical proximity correction approach to optimize photomask design. It is basically an approach to solve an inverse imaging problem: to calculate the shapes of the openings in a photomask ("source") so that the passing light produces a ... | Wikipedia/Inverse_lithography_technology |
In the automated design of integrated circuits, signoff (also written as sign-off) checks is the collective name given to a series of verification steps that the design must pass before it can be taped out. This implies an iterative process involving incremental fixes across the board using one or more check types, and... | Wikipedia/Signoff_(electronic_design_automation) |
Daisy Systems Corporation, incorporated in 1981 in Mountain View, California, was a computer-aided engineering company, a pioneer in the electronic design automation (EDA) industry.
It was a manufacturer of computer hardware and software for EDA, including schematic capture, logic simulation, parameter extraction and ... | Wikipedia/Daisy_Systems |
Electronic design automation (EDA), also referred to as electronic computer-aided design (ECAD), is a category of software tools for designing electronic systems such as integrated circuits and printed circuit boards. The tools work together in a design flow that chip designers use to design and analyze entire semicond... | Wikipedia/Electronic_design |
Resolution enhancement technologies are methods used to modify the photomasks in the lithographic processes used to make integrated circuits (ICs or "chips") to compensate for limitations in the optical resolution of the projection systems. These processes allow the creation of features well beyond the limit that would... | Wikipedia/Resolution_enhancement_techniques |
Design for manufacturability (also sometimes known as design for manufacturing or DFM) is the general engineering practice of designing products in such a way that they are easy to manufacture. The concept exists in almost all engineering disciplines, but the implementation differs widely depending on the manufacturing... | Wikipedia/Design_for_manufacturability_(IC) |
Magma Design Automation was a software company in the electronic design automation (EDA) industry. The company was founded in 1997 and maintained headquarters in San Jose, California, with facilities throughout North America, Europe and Asia. Magma software products were used in major elements of integrated circuit des... | Wikipedia/Magma_Design_Automation |
Statistics (from German: Statistik, orig. "description of a state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a scientific, industrial, or social problem, it is conventional to begin with a statistical populatio... | Wikipedia/statistics |
Criminal procedure is the adjudication process of the criminal law. While criminal procedure differs dramatically by jurisdiction, the process generally begins with a formal criminal charge with the person on trial either being free on bail or incarcerated, and results in the conviction or acquittal of the defendant. C... | Wikipedia/Criminal_trial |
A case–control study (also known as case–referent study) is a type of observational study in which two existing groups differing in outcome are identified and compared on the basis of some supposed causal attribute. Case–control studies are often used to identify factors that may contribute to a medical condition by co... | Wikipedia/Case-control_study |
In natural and social science research, a protocol is most commonly a predefined procedural method in the design and implementation of an experiment. Protocols are written whenever it is desirable to standardize a laboratory method to ensure successful replication of results by others in the same laboratory or by other... | Wikipedia/Protocol_(natural_sciences) |
The Mathematical Sciences are a group of areas of study that includes, in addition to mathematics, those academic disciplines that are primarily mathematical in nature but may not be universally considered subfields of mathematics proper.
Statistics, for example, is mathematical in its methods but grew out of bureaucra... | Wikipedia/Mathematical_sciences |
Structural equation modeling (SEM) is a diverse set of methods used by scientists for both observational and experimental research. SEM is used mostly in the social and behavioral science fields, but it is also used in epidemiology, business, and other fields. A common definition of SEM is, "...a class of methodologies... | Wikipedia/Structural_equation_modelling |
Least squares is a mathematical optimization method that aims to determine the best fit function by minimizing the sum of the squares of the differences between the observed values and the predicted values of the model. The method is widely used in areas such as regression analysis, curve fitting and data modeling. The... | Wikipedia/Method_of_least_squares |
Multilevel models are statistical models of parameters that vary at more than one level. An example could be a model of student performance that contains measures for individual students as well as measures for classrooms within which the students are grouped. These models can be seen as generalizations of linear model... | Wikipedia/Multilevel_model |
The Design of Experiments is a 1935 book by the English statistician Ronald Fisher about the design of experiments and is considered a foundational work in experimental design. Among other contributions, the book introduced the concept of the null hypothesis in the context of the lady tasting tea experiment. A chapter ... | Wikipedia/The_Design_of_Experiments |
A Bayesian network (also known as a Bayes network, Bayes net, belief network, or decision network) is a probabilistic graphical model that represents a set of variables and their conditional dependencies via a directed acyclic graph (DAG). While it is one of several forms of causal notation, causal networks are special... | Wikipedia/Bayesian_model |
The average treatment effect (ATE) is a measure used to compare treatments (or interventions) in randomized experiments, evaluation of policy interventions, and medical trials. The ATE measures the difference in mean (average) outcomes between units assigned to the treatment and units assigned to the control. In a ran... | Wikipedia/Average_treatment_effect |
Energy statistics refers to collecting, compiling, analyzing and disseminating data on commodities such as coal, crude oil, natural gas, electricity, or renewable energy sources (biomass, geothermal, wind or solar energy), when they are used for the energy they contain. Energy is the capability of some substances, resu... | Wikipedia/Statistical_study_of_energy_data |
Probability theory or probability calculus is the branch of mathematics concerned with probability. Although there are several different probability interpretations, probability theory treats the concept in a rigorous mathematical manner by expressing it through a set of axioms. Typically these axioms formalise probabi... | Wikipedia/Measure-theoretic_probability_theory |
In the design of experiments, hypotheses are applied to experimental units in a treatment group. In comparative experiments, members of a control group receive a standard treatment, a placebo, or no treatment at all. There may be more than one treatment group, more than one control group, or both.
A placebo control gro... | Wikipedia/Control_group |
This is a list of cryptographers. Cryptography is the practice and study of techniques for secure communication in the presence of third parties called adversaries.
== Pre twentieth century ==
Al-Khalil ibn Ahmad al-Farahidi: wrote a (now lost) book on cryptography titled the "Book of Cryptographic Messages".
Al-Kind... | Wikipedia/Cryptographers |
The Genetical Theory of Natural Selection is a book by Ronald Fisher which combines Mendelian genetics with Charles Darwin's theory of natural selection, with Fisher being the first to argue that "Mendelism therefore validates Darwinism" and stating with regard to mutations that "The vast majority of large mutations ar... | Wikipedia/The_Genetical_Theory_of_Natural_Selection |
In computer science, an integer is a datum of integral data type, a data type that represents some range of mathematical integers. Integral data types may be of different sizes and may or may not be allowed to contain negative values. Integers are commonly represented in a computer as a group of binary digits (bits). T... | Wikipedia/Integer_(computer_science) |
A biological network is a method of representing systems as complex sets of binary interactions or relations between various biological entities. In general, networks or graphs are used to capture relationships between entities or objects. A typical graphing representation consists of a set of nodes connected by edges.... | Wikipedia/Network_biology |
Statistical Methods for Research Workers is a classic book on statistics, written by the statistician R. A. Fisher. It is considered by some to be one of the 20th century's most influential books on statistical methods, together with his The Design of Experiments (1935). It was originally published in 1925, by Oliver &... | Wikipedia/Statistical_Methods_for_Research_Workers |
Bayesian hierarchical modelling is a statistical model written in multiple levels (hierarchical form) that estimates the parameters of the posterior distribution using the Bayesian method. The sub-models combine to form the hierarchical model, and Bayes' theorem is used to integrate them with the observed data and acco... | Wikipedia/Bayesian_hierarchical_modeling |
Management science (or managerial science) is a wide and interdisciplinary study of solving complex problems and making strategic decisions as it pertains to institutions, corporations, governments and other types of organizational entities. It is closely related to management, economics, business, engineering, managem... | Wikipedia/Management_Science |
In statistics, the delta method is a method of deriving the asymptotic distribution of a random variable. It is applicable when the random variable being considered can be defined as a differentiable function of a random variable which is asymptotically Gaussian.
== History ==
The delta method was derived from propag... | Wikipedia/Delta_method |
In statistics, regression validation is the process of deciding whether the numerical results quantifying hypothesized relationships between variables, obtained from regression analysis, are acceptable as descriptions of the data. The validation process can involve analyzing the goodness of fit of the regression, analy... | Wikipedia/Regression_model_validation |
In probability theory, the method of moments is a way of proving convergence in distribution by proving convergence of a sequence of moment sequences. Suppose X is a random variable and that all of the moments
E
(
X
k
... | Wikipedia/Method_of_moments_(probability_theory) |
In econometrics and statistics, the generalized method of moments (GMM) is a generic method for estimating parameters in statistical models. Usually it is applied in the context of semiparametric models, where the parameter of interest is finite-dimensional, whereas the full shape of the data's distribution function ma... | Wikipedia/Generalized_method_of_moments |
In statistics, maximum likelihood estimation (MLE) is a method of estimating the parameters of an assumed probability distribution, given some observed data. This is achieved by maximizing a likelihood function so that, under the assumed statistical model, the observed data is most probable. The point in the parameter ... | Wikipedia/Method_of_maximum_likelihood |
In the statistical analysis of time series, autoregressive–moving-average (ARMA) models are a way to describe a (weakly) stationary stochastic process using autoregression (AR) and a moving average (MA), each with a polynomial. They are a tool for understanding a series and predicting future values. AR involves regress... | Wikipedia/Autoregressive_moving-average_model |
In an adaptive design of a clinical trial, the parameters and conduct of the trial for a candidate drug or vaccine may be changed based on an interim analysis. Adaptive design typically involves advanced statistics to interpret a clinical trial endpoint. This is in contrast to traditional single-arm (i.e. non-randomize... | Wikipedia/Adaptive_design_(medicine) |
In statistics and in machine learning, a linear predictor function is a linear function (linear combination) of a set of coefficients and explanatory variables (independent variables), whose value is used to predict the outcome of a dependent variable. This sort of function usually comes in linear regression, where th... | Wikipedia/Linear_predictor_function |
In the statistical analysis of time series, autoregressive–moving-average (ARMA) models are a way to describe a (weakly) stationary stochastic process using autoregression (AR) and a moving average (MA), each with a polynomial. They are a tool for understanding a series and predicting future values. AR involves regress... | Wikipedia/Autoregressive_moving_average_model |
Hypertabastic survival models were introduced in 2007 by Mohammad Tabatabai, Zoran Bursac, David Williams, and Karan Singh. This distribution can be used to analyze time-to-event data in biomedical and public health areas and normally called survival analysis. In engineering, the time-to-event analysis is referred to a... | Wikipedia/Hypertabastic_survival_models |
Annualized failure rate (AFR) gives the estimated probability that a device or component will fail during a full year of use. It is a relation between the mean time between failure (MTBF) and the hours that a number of devices are run per year. AFR is estimated from a sample of like components—AFR and MTBF as given by... | Wikipedia/Annualized_failure_rate |
In actuarial science, force of mortality represents the instantaneous rate of mortality at a certain age measured on an annualized basis. It is identical in concept to failure rate, also called hazard function, in reliability theory.
== Motivation and definition ==
In a life table, we consider the probability of a pe... | Wikipedia/Force_of_mortality |
Reliability engineering is a sub-discipline of systems engineering that emphasizes the ability of equipment to function without failure. Reliability is defined as the probability that a product, system, or service will perform its intended function adequately for a specified period of time, OR will operate in a defined... | Wikipedia/Reliability_theory |
In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order. This concept first arose in calculus, and was later generalized to the more abstract setting of order theory.
== In calculus and analysis ==
In calculus, a function
... | Wikipedia/Decreasing_function |
The reliability theory of aging is an attempt to apply the principles of reliability theory to create a mathematical model of senescence. The theory was published in Russian by Leonid A. Gavrilov and Natalia S. Gavrilova as Biologiia prodolzhitelʹnosti zhizni in 1986, and in English translation as The Biology of Life S... | Wikipedia/Reliability_theory_of_aging_and_longevity |
A case–control study (also known as case–referent study) is a type of observational study in which two existing groups differing in outcome are identified and compared on the basis of some supposed causal attribute. Case–control studies are often used to identify factors that may contribute to a medical condition by co... | Wikipedia/Case–control_study |
In statistical mechanics, the hard hexagon model is a 2-dimensional lattice model of a gas, where particles are allowed to be on the vertices of a triangular lattice but no two particles may be adjacent.
The model was solved by Rodney Baxter (1980), who found that it was related to the Rogers–Ramanujan identities.
==... | Wikipedia/Hard_hexagon_model |
In physics, specifically statistical mechanics, an ensemble (also statistical ensemble) is an idealization consisting of a large number of virtual copies (sometimes infinitely many) of a system, considered all at once, each of which represents a possible state that the real system might be in. In other words, a statist... | Wikipedia/Ensemble_(mathematical_physics) |
In physics, statistical mechanics is a mathematical framework that applies statistical methods and probability theory to large assemblies of microscopic entities. Sometimes called statistical physics or statistical thermodynamics, its applications include many problems in a wide variety of fields such as biology, neuro... | Wikipedia/Statistical_thermodynamics |
The partition function or configuration integral, as used in probability theory, information theory and dynamical systems, is a generalization of the definition of a partition function in statistical mechanics. It is a special case of a normalizing constant in probability theory, for the Boltzmann distribution. The par... | Wikipedia/Partition_function_(mathematics) |
In physics, maximum entropy thermodynamics (colloquially, MaxEnt thermodynamics) views equilibrium thermodynamics and statistical mechanics as inference processes. More specifically, MaxEnt applies inference techniques rooted in Shannon information theory, Bayesian probability, and the principle of maximum entropy. The... | Wikipedia/Maximum_entropy_thermodynamics |
In statistical mechanics, the two-dimensional square lattice Ising model is a simple lattice model of interacting magnetic spins. The model is notable for having nontrivial interactions, yet having an analytical solution. The model was solved by Lars Onsager for the special case that the external magnetic field H = 0. ... | Wikipedia/Square-lattice_Ising_model |
In thermodynamics, the Gibbs free energy (or Gibbs energy as the recommended name; symbol
G
{\displaystyle G}
) is a thermodynamic potential that can be used to calculate the maximum amount of work, other than pressure–volume work, that may be performed by a thermodynamically ... | Wikipedia/Gibbs_free_energy |
A depletion force is an effective attractive force that arises between large colloidal particles that are suspended in a dilute solution of depletants, which are smaller solutes that are preferentially excluded from the vicinity of the large particles. One of the earliest reports of depletion forces that lead to partic... | Wikipedia/Depletion_force |
A neural network is a group of interconnected units called neurons that send signals to one another. Neurons can be either biological cells or signal pathways. While individual neurons are simple, many of them together in a network can perform complex tasks. There are two main types of neural networks.
In neuroscience... | Wikipedia/Neural_networks |
In physics, specifically statistical mechanics, an ensemble (also statistical ensemble) is an idealization consisting of a large number of virtual copies (sometimes infinitely many) of a system, considered all at once, each of which represents a possible state that the real system might be in. In other words, a statist... | Wikipedia/Statistical_ensemble_(mathematical_physics) |
In information theory, the entropy of a random variable quantifies the average level of uncertainty or information associated with the variable's potential states or possible outcomes. This measures the expected amount of information needed to describe the state of the variable, considering the distribution of probabil... | Wikipedia/Shannon_entropy |
The concept entropy was first developed by German physicist Rudolf Clausius in the mid-nineteenth century as a thermodynamic property that predicts that certain spontaneous processes are irreversible or impossible. In statistical mechanics, entropy is formulated as a statistical property using probability theory. The s... | Wikipedia/Entropy_(statistical_thermodynamics) |
Elementary Principles in Statistical Mechanics, published in March 1902, is a work of scientific literature by Josiah Willard Gibbs which is considered to be the foundation of modern statistical mechanics. Its full title was Elementary Principles in Statistical Mechanics, developed with especial reference to the ration... | Wikipedia/Elementary_Principles_in_Statistical_Mechanics |
The random phase approximation (RPA) is an approximation method in condensed matter physics and nuclear physics. It was first introduced by David Bohm and David Pines as an important result in a series of seminal papers of 1952 and 1953. For decades physicists had been trying to incorporate the effect of microscopic qu... | Wikipedia/Random_phase_approximation |
Thermodynamics is a branch of physics that deals with heat, work, and temperature, and their relation to energy, entropy, and the physical properties of matter and radiation. The behavior of these quantities is governed by the four laws of thermodynamics, which convey a quantitative description using measurable macrosc... | Wikipedia/Classical_thermodynamics |
The Boltzmann equation or Boltzmann transport equation (BTE) describes the statistical behaviour of a thermodynamic system not in a state of equilibrium; it was devised by Ludwig Boltzmann in 1872.
The classic example of such a system is a fluid with temperature gradients in space causing heat to flow from hotter regio... | Wikipedia/Boltzmann_transport_equation |
In physics, statistical mechanics is a mathematical framework that applies statistical methods and probability theory to large assemblies of microscopic entities. Sometimes called statistical physics or statistical thermodynamics, its applications include many problems in a wide variety of fields such as biology, neuro... | Wikipedia/Non-equilibrium_statistical_mechanics |
In physics, the von Neumann entropy, named after John von Neumann, is a measure of the statistical uncertainty within a description of a quantum system. It extends the concept of Gibbs entropy from classical statistical mechanics to quantum statistical mechanics, and it is the quantum counterpart of the Shannon entropy... | Wikipedia/Von_Neumann_entropy |
The quantum Heisenberg model, developed by Werner Heisenberg, is a statistical mechanical model used in the study of critical points and phase transitions of magnetic systems, in which the spins of the magnetic systems are treated quantum mechanically. It is related to the prototypical Ising model, where at each site o... | Wikipedia/Heisenberg_model_(quantum) |
In statistical mechanics, Boltzmann's entropy formula (also known as the Boltzmann–Planck equation, not to be confused with the more general Boltzmann equation, which is a partial differential equation) is a probability equation relating the entropy
S
{\displaystyle S}
, also ... | Wikipedia/Boltzmann_entropy |
The principle of maximum entropy states that the probability distribution which best represents the current state of knowledge about a system is the one with largest entropy, in the context of precisely stated prior data (such as a proposition that expresses testable information).
Another way of stating this: Take pre... | Wikipedia/Principle_of_maximum_entropy |
The concept entropy was first developed by German physicist Rudolf Clausius in the mid-nineteenth century as a thermodynamic property that predicts that certain spontaneous processes are irreversible or impossible. In statistical mechanics, entropy is formulated as a statistical property using probability theory. The s... | Wikipedia/Gibbs_entropy |
In statistical mechanics, the radial distribution function, (or pair correlation function)
g
(
r
)
{\displaystyle g(r)}
in a system of particles (atoms, molecules, colloids, etc.), describes how density varies as a function of distance from a reference... | Wikipedia/Radial_distribution_function |
In the context of chemistry, molecular physics, physical chemistry, and molecular modelling, a force field is a computational model that is used to describe the forces between atoms (or collections of atoms) within molecules or between molecules as well as in crystals. Force fields are a variety of interatomic potentia... | Wikipedia/Force_field_(chemistry) |
In statistical mechanics, Boltzmann's entropy formula (also known as the Boltzmann–Planck equation, not to be confused with the more general Boltzmann equation, which is a partial differential equation) is a probability equation relating the entropy
S
{\displaystyle S}
, also ... | Wikipedia/Boltzmann's_entropy_formula |
In classical thermodynamics, entropy (from Greek τρoπή (tropḗ) 'transformation') is a property of a thermodynamic system that expresses the direction or outcome of spontaneous changes in the system. The term was introduced by Rudolf Clausius in the mid-19th century to explain the relationship of the internal energy th... | Wikipedia/Entropy_(classical_thermodynamics) |
In thermodynamics and solid-state physics, the Debye model is a method developed by Peter Debye in 1912 to estimate phonon contribution to the specific heat (heat capacity) in a solid. It treats the vibrations of the atomic lattice (heat) as phonons in a box in contrast to the Einstein photoelectron model, which treats... | Wikipedia/Debye_model |
In physics, a partition function describes the statistical properties of a system in thermodynamic equilibrium. Partition functions are functions of the thermodynamic state variables, such as the temperature and volume. Most of the aggregate thermodynamic variables of the system, such as the total energy, free energy... | Wikipedia/Canonical_partition_function |
In quantum mechanics, a density matrix (or density operator) is a matrix used in calculating the probabilities of the outcomes of measurements performed on physical systems. It is a generalization of the state vectors or wavefunctions: while those can only represent pure states, density matrices can also represent mixe... | Wikipedia/Von_Neumann_equation |
Monte Carlo in statistical physics refers to the application of the Monte Carlo method to problems in statistical physics, or statistical mechanics.
== Overview ==
The general motivation to use the Monte Carlo method in statistical physics is to evaluate a multivariable integral. The typical problem begins with a sys... | Wikipedia/Monte_Carlo_method_in_statistical_mechanics |
A linear response function describes the input-output relationship of a signal transducer, such as a radio turning electromagnetic waves into music or a neuron turning synaptic input into a response. Because of its many applications in information theory, physics and engineering there exist alternative names for specif... | Wikipedia/Linear_response_theory |
In physics, a partition function describes the statistical properties of a system in thermodynamic equilibrium. Partition functions are functions of the thermodynamic state variables, such as the temperature and volume. Most of the aggregate thermodynamic variables of the system, such as the total energy, free energy... | Wikipedia/Grand_partition_function |
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