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In probability theory, Kolmogorov equations characterize continuous-time Markov processes. In particular, they describe how the probability of a continuous-time Markov process in a certain state changes over time. There are four distinct equations: the Kolmogorov forward equation for continuous processes, now understo... | Wikipedia/Kolmogorov_equations |
Mechanistic models for niche apportionment are biological models used to explain relative species abundance distributions. These niche apportionment models describe how species break up resource pool in multi-dimensional space, determining the distribution of abundances of individuals among species. The relative abun... | Wikipedia/Niche_apportionment_models |
The random generalized Lotka–Volterra model (rGLV) is an ecological model and random set of coupled ordinary differential equations where the parameters of the generalized Lotka–Volterra equation are sampled from a probability distribution, analogously to quenched disorder. The rGLV models dynamics of a community of sp... | Wikipedia/Random_generalized_Lotka–Volterra_model |
Mutualism describes the ecological interaction between two or more species where each species has a net benefit. Mutualism is a common type of ecological interaction. Prominent examples are:
the nutrient exchange between vascular plants and mycorrhizal fungi,
the fertilization of flowering plants by pollinators,
the w... | Wikipedia/Mutualism_and_the_Lotka–Volterra_equation |
A functional response in ecology is the intake rate of a consumer as a function of food density (the amount of food available in a given ecotope). It is associated with the numerical response, which is the reproduction rate of a consumer as a function of food density. Following C. S. Holling, functional responses are g... | Wikipedia/Functional_response |
Patch dynamics is an ecological perspective that the structure, function, and dynamics of ecological systems can be understood through studying their interactive patches. Patch dynamics, as a term, may also refer to the spatiotemporal changes within and among patches that make up a landscape. Patch dynamics is ubiqui... | Wikipedia/Patch_dynamics |
Source–sink dynamics is a theoretical model used by ecologists to describe how variation in habitat quality may affect the population growth or decline of organisms.
Since quality is likely to vary among patches of habitat, it is important to consider how a low quality patch might affect a population. In this model, o... | Wikipedia/Source–sink_dynamics |
Any action or influence that species have on each other is considered a biological interaction. These interactions between species can be considered in several ways. One such way is to depict interactions in the form of a network, which identifies the members and the patterns that connect them. Species interactions ar... | Wikipedia/Non-trophic_networks |
The generalized Lotka–Volterra equations are a set of equations which are more general than either the competitive or predator–prey examples of Lotka–Volterra types. They can be used to model direct competition and trophic relationships between an arbitrary number of species. Their dynamics can be analysed analyticall... | Wikipedia/Generalized_Lotka–Volterra_equation |
Action assembly theory is a communication theory that emphasizes psychological and social influences on human action. The goal is to examine and describe the links between the cognition and behavior – how an individual's thoughts get transformed into action. It was developed by John Greene.
== Definition ==
Action as... | Wikipedia/Action_assembly_theory |
Networks in labor economics refers to the effect social networks have on jobseekers obtaining employment. Research suggests that around half of the employed workforce found their jobs through social contacts. It is believed that social networks not only contribute to the efficiency of job searching but can also explain... | Wikipedia/Networks_in_labor_economics |
Giant Global Graph (GGG) is a name coined in 2007 by Tim Berners-Lee to help distinguish between the nature and significance of the content on the existing World Wide Web and that of a promulgated next-generation web, presumptively named Web 3.0. In common usage, "World Wide Web" refers primarily to a web of discrete i... | Wikipedia/Giant_Global_Graph |
A collaborative innovation network (CoIN) is a collaborative innovation practice that uses internet platforms to promote communication and innovation within self-organizing virtual teams.
== Overview ==
Coins work across hierarchies and boundaries where members can exchange ideas and information directly and openly. ... | Wikipedia/Collaborative_innovation_network |
Exponential family random graph models (ERGMs) are a set of statistical models used to study the structure and patterns within networks, such as those in social, organizational, or scientific contexts. They analyze how connections (edges) form between individuals or entities (nodes) by modeling the likelihood of networ... | Wikipedia/Exponential_random_graph_model |
A professional network service (or, in an Internet context, simply a professional network) is a type of social network service that focuses on interactions and relationships for business opportunities and career growth, with less emphasis on activities in personal life.
A professional network service is used by working... | Wikipedia/Professional_network_service |
A network is an abstract structure capturing only the basics of connection patterns and little else. Because it is a generalized pattern, tools developed for analyzing, modeling and understanding networks can theoretically be implemented across disciplines. As long as a system can be represented by a network, there is ... | Wikipedia/Network_theory_in_risk_assessment |
In communication networks, cognitive network (CN) is a new type of data network that makes use of cutting edge technology from several research areas (i.e. machine learning, knowledge representation, computer network, network management) to solve some problems current networks are faced with. Cognitive network is diffe... | Wikipedia/Cognitive_network |
A service network is a structure that brings together several entities to deliver a particular service. For instance, one organisation (the buyer) may sub-contract another organisation (the supplier) to deliver after-sales services to a third party (the customer). The buyer may use more than one supplier. Likewise, the... | Wikipedia/Service_network |
In mathematics, random graph is the general term to refer to probability distributions over graphs. Random graphs may be described simply by a probability distribution, or by a random process which generates them. The theory of random graphs lies at the intersection between graph theory and probability theory. From a ... | Wikipedia/Random_graphs |
In graph theory, a flow network (also known as a transportation network) is a directed graph where each edge has a capacity and each edge receives a flow. The amount of flow on an edge cannot exceed the capacity of the edge. Often in operations research, a directed graph is called a network, the vertices are called nod... | Wikipedia/Random_networks |
The field of complex networks has emerged as an important area of science to generate novel insights into nature of complex systems The application of network theory to climate science is a young and emerging field. To identify and analyze patterns in global climate, scientists model climate data as complex networks.
U... | Wikipedia/Climate_as_complex_networks |
Network homophily refers to the theory in network science which states that, based on node attributes, similar nodes may be more likely to attach to each other than dissimilar ones. The hypothesis is linked to the model of preferential attachment and it draws from the phenomenon of homophily in social sciences and mu... | Wikipedia/Network_homophily |
In network science, a gradient network is a directed subnetwork of an undirected "substrate" network where each node has an associated scalar potential and one out-link that points to the node with the smallest (or largest) potential in its neighborhood, defined as the union of itself and its neighbors on the substrate... | Wikipedia/Gradient_network |
A telecommunications network is a group of nodes interconnected by telecommunications links that are used to exchange messages between the nodes. The links may use a variety of technologies based on the methodologies of circuit switching, message switching, or packet switching, to pass messages and signals.
Multiple n... | Wikipedia/Telecommunication_network |
The stretched exponential function
f
β
(
t
)
=
e
−
t
β
... | Wikipedia/Stretched_exponential_function |
Organizational network analysis (ONA) is a method for studying communication and socio-technical networks within a formal organization. This technique creates statistical and graphical models of the people, tasks, groups, knowledge and resources of organizational systems. It is based on social network theory and more s... | Wikipedia/Organizational_network_analysis |
Network medicine is the application of network science towards identifying, preventing, and treating diseases. This field focuses on using network topology and network dynamics towards identifying diseases and developing medical drugs. Biological networks, such as protein-protein interactions and metabolic pathways, ar... | Wikipedia/Network_medicine |
Policy network analysis is a field of research in political science focusing on the links and interdependence between government's sections and other societal actors, aiming to understand the policy-making process and public policy outcomes.
== Definition of policy networks ==
Although the number of definitions is al... | Wikipedia/Policy_network_analysis |
Hyperlink-Induced Topic Search (HITS; also known as hubs and authorities) is a link analysis algorithm that rates Web pages, developed by Jon Kleinberg. The idea behind Hubs and Authorities stemmed from a particular insight into the creation of web pages when the Internet was originally forming; that is, certain web pa... | Wikipedia/HITS_algorithm |
Personal knowledge networks (PKN) are methods for organizations to identify, capture, evaluate, retrieve, verify and share information. This method was primarily conceived by researchers to facilitate the sharing of personal, informal knowledge between organizations. Various technologies and behaviors support personal ... | Wikipedia/Personal_knowledge_networking |
Quantum complex networks are complex networks whose nodes are quantum computing devices. Quantum mechanics has been used to create secure quantum communications channels that are protected from hacking. Quantum communications offer the potential for secure enterprise-scale solutions.
== Motivation ==
In theory, it is... | Wikipedia/Quantum_complex_network |
In mathematics and social science, a collaboration graph is a graph modeling some social network where the vertices represent participants of that network (usually individual people) and where two distinct participants are joined by an edge whenever there is a collaborative relationship between them of a particular kin... | Wikipedia/Collaboration_graph |
Exponential family random graph models (ERGMs) are a set of statistical models used to study the structure and patterns within networks, such as those in social, organizational, or scientific contexts. They analyze how connections (edges) form between individuals or entities (nodes) by modeling the likelihood of networ... | Wikipedia/Exponential_family_random_graph_models |
The network probability matrix describes the probability structure of a network based on the historical presence or absence of edges in a network. For example, individuals in a social network are not connected to other individuals with uniform random probability. The probability structure is much more complex. Intui... | Wikipedia/Network_probability_matrix |
Arabidopsis thaliana, the thale cress, mouse-ear cress or arabidopsis, is a small plant from the mustard family (Brassicaceae), native to Eurasia and Africa. Commonly found along the shoulders of roads and in disturbed land, it is generally considered a weed.
A winter annual with a relatively short lifecycle, A. thalia... | Wikipedia/Protein_Interaction_Networks |
There is no agreed upon definition of value network. A general definition that subsumes the other definitions is that a value network is a network of roles linked by interactions in which economic entities engage in both tangible and intangible exchanges to achieve economic or social good. This definition is similar to... | Wikipedia/Value_network |
Network formation is an aspect of network science that seeks to model how a network evolves by identifying which factors affect its structure and how these mechanisms operate. Network formation hypotheses are tested by using either a dynamic model with an increasing network size or by making an agent-based model to det... | Wikipedia/Network_formation |
In mathematics, especially in probability theory and ergodic theory, the invariant sigma-algebra is a sigma-algebra formed by sets which are invariant under a group action or dynamical system. It can be interpreted as of being "indifferent" to the dynamics.
The invariant sigma-algebra appears in the study of ergodic sy... | Wikipedia/Invariant_sigma-algebra |
In mathematics, a measure-preserving dynamical system is an object of study in the abstract formulation of dynamical systems, and ergodic theory in particular. Measure-preserving systems obey the Poincaré recurrence theorem, and are a special case of conservative systems. They provide the formal, mathematical basis for... | Wikipedia/Measure-preserving_transformation |
In mathematics, a measure-preserving dynamical system is an object of study in the abstract formulation of dynamical systems, and ergodic theory in particular. Measure-preserving systems obey the Poincaré recurrence theorem, and are a special case of conservative systems. They provide the formal, mathematical basis for... | Wikipedia/Measure-theoretic_entropy |
In mathematics, the normal form of a dynamical system is a simplified form that can be useful in determining the system's behavior.
Normal forms are often used for determining local bifurcations in a system. All systems exhibiting a certain type of bifurcation are locally (around the equilibrium) topologically equivale... | Wikipedia/Normal_form_(dynamical_systems) |
In mathematics, a multivalued function, multiple-valued function, many-valued function, or multifunction, is a function that has two or more values in its range for at least one point in its domain. It is a set-valued function with additional properties depending on context; some authors do not distinguish between set-... | Wikipedia/Single-valued_function |
Coherence therapy is a system of psychotherapy based in the theory that symptoms of mood, thought and behavior are produced coherently according to the person's current mental models of reality, most of which are implicit and unconscious. It was created by Bruce Ecker and Laurel Hulley, who first described it in their ... | Wikipedia/Coherence_therapy |
Piaget's theory of cognitive development, or his genetic epistemology, is a comprehensive theory about the nature and development of human intelligence. It was originated by the Swiss developmental psychologist Jean Piaget (1896–1980). The theory deals with the nature of knowledge itself and how humans gradually come t... | Wikipedia/Stage_theory |
Piaget's theory of cognitive development, or his genetic epistemology, is a comprehensive theory about the nature and development of human intelligence. It was originated by the Swiss developmental psychologist Jean Piaget (1896–1980). The theory deals with the nature of knowledge itself and how humans gradually come t... | Wikipedia/Piaget's_theory_of_cognitive_development |
In computer science, purely functional programming usually designates a programming paradigm—a style of building the structure and elements of computer programs—that treats all computation as the evaluation of mathematical functions.
Program state and mutable objects are usually modeled with temporal logic, as explicit... | Wikipedia/Pure_functional |
In computer science, information hiding is the principle of segregation of the design decisions in a computer program that are most likely to change, thus protecting other parts of the program from extensive modification if the design decision is changed. The protection involves providing a stable interface which prote... | Wikipedia/Visibility_(computer_science) |
In mathematics, the qualitative theory of differential equations studies the behavior of differential equations by means other than finding their solutions. It originated from the works of Henri Poincaré and Aleksandr Lyapunov. There are relatively few differential equations that can be solved explicitly, but using too... | Wikipedia/Qualitative_theory_of_differential_equations |
In mathematics, a group action of a group
G
{\displaystyle G}
on a set
S
{\displaystyle S}
is a group homomorphism from
G
{\displaystyle G}
to some group (under function composition) of fu... | Wikipedia/Orbit_(group_theory) |
In applied mathematics, the phase space method is a technique for constructing and analyzing solutions of dynamical systems, that is, solving time-dependent differential equations.
The method consists of first rewriting the equations as a system of differential equations that are first-order in time, by introducing ad... | Wikipedia/Phase_space_method |
In mathematics, a partition of a set is a grouping of its elements into non-empty subsets, in such a way that every element is included in exactly one subset.
Every equivalence relation on a set defines a partition of this set, and every partition defines an equivalence relation. A set equipped with an equivalence rela... | Wikipedia/Partition_(set_theory) |
In mathematics, a dynamical system is a system in which a function describes the time dependence of a point in an ambient space, such as in a parametric curve. Examples include the mathematical models that describe the swinging of a clock pendulum, the flow of water in a pipe, the random motion of particles in the air,... | Wikipedia/Evolution_function |
Systems medicine is an interdisciplinary field of study that looks at the systems of the human body as part of an integrated whole, incorporating biochemical, physiological, and environment interactions. Systems medicine draws on systems science and systems biology, and considers complex interactions within the human b... | Wikipedia/Systems_medicine |
In the social sciences, methodological individualism is a method for explaining social phenomena strictly in terms of the decisions of individuals, each being moved by their own personal motivations. In contrast, explanations of social phenomena which assume that cause and effect acts upon whole classes or groups are d... | Wikipedia/Methodological_individualism |
In the mathematics of chaotic dynamical systems, in the Pyragas method of stabilizing a periodic orbit, an appropriate continuous controlling signal is injected into the system, whose intensity is nearly zero as the system evolves close to the desired periodic orbit but increases when it drifts away from the desired or... | Wikipedia/Pyragas_method |
Cybernetical physics is a scientific area on the border of cybernetics and physics which studies physical systems with cybernetical methods. Cybernetical methods are understood as methods developed within control theory, information theory, systems theory and related areas: control design, estimation, identification, ... | Wikipedia/Cybernetical_physics |
In combinatorial game theory, a branch of mathematics, a hot game is one in which each player can improve their position by making the next move.
By contrast, a cold game is one where each player can only worsen their position by making the next move. The class of cold games are equivalent to the class of surreal num... | Wikipedia/Temperature_(game_theory) |
In combinatorial game theory, cooling, heating, and overheating are operations on hot games to make them more amenable to the traditional methods of the theory,
which was originally devised for cold games in which the winner is the last player to have a legal move.
Overheating was generalised by Elwyn Berlekamp for the... | Wikipedia/Cooling_and_heating_(combinatorial_game_theory) |
The Kahn–Kalai conjecture, also known as the expectation threshold conjecture or more recently the Park-Pham Theorem, was a conjecture in the field of graph theory and statistical mechanics, proposed by Jeff Kahn and Gil Kalai in 2006. It was proven in a paper published in 2024.
== Background ==
This conjecture conce... | Wikipedia/Kahn–Kalai_conjecture |
In mathematics and probability theory, continuum percolation theory is a branch of mathematics that extends discrete percolation theory to continuous space (often Euclidean space ℝn). More specifically, the underlying points of discrete percolation form types of lattices whereas the underlying points of continuum perco... | Wikipedia/Continuum_percolation_theory |
In statistical mechanics, probability theory, graph theory, etc. the random cluster model is a random graph that generalizes and unifies the Ising model, Potts model, and percolation model. It is used to study random combinatorial structures, electrical networks, etc. It is also referred to as the RC model or sometimes... | Wikipedia/Random_cluster_model |
The bunkbed conjecture (also spelled bunk bed conjecture) is a statement in percolation theory, a branch of mathematics that studies the behavior of connected clusters in a random graph. The conjecture is named after its analogy to a bunk bed structure. It was first posited by Pieter Kasteleyn in 1985. A preprint givin... | Wikipedia/Bunkbed_conjecture |
Flory–Stockmayer theory is a theory governing the cross-linking and gelation of step-growth polymers. The Flory–Stockmayer theory represents an advancement from the Carothers equation, allowing for the identification of the gel point for polymer synthesis not at stoichiometric balance. The theory was initially conceptu... | Wikipedia/Flory–Stockmayer_theory |
In the mathematics of shuffling playing cards, the Gilbert–Shannon–Reeds model is a probability distribution on riffle shuffle permutations. It forms the basis for a recommendation that a deck of cards should be riffled seven times in order to thoroughly randomize it. It is named after the work of Edgar Gilbert, Claude... | Wikipedia/Gilbert–Shannon–Reeds_model |
In mathematics, the blancmange curve is a self-affine fractal curve constructible by midpoint subdivision. It is also known as the Takagi curve, after Teiji Takagi who described it in 1901, or as the Takagi–Landsberg curve, a generalization of the curve named after Takagi and Georg Landsberg. The name blancmange comes... | Wikipedia/Takagi_function |
Entropy is a scientific concept, most commonly associated with states of disorder, randomness, or uncertainty. The term and the concept are used in diverse fields, from classical thermodynamics, where it was first recognized, to the microscopic description of nature in statistical physics, and to the principles of info... | Wikipedia/Entropy_(thermodynamics) |
Prediction by partial matching (PPM) is an adaptive statistical data compression technique based on context modeling and prediction. PPM models use a set of previous symbols in the uncompressed symbol stream to predict the next symbol in the stream. PPM algorithms can also be used to cluster data into predicted groupi... | Wikipedia/PPM_compression_algorithm |
In information theory, the graph entropy is a measure of the information rate achievable by communicating symbols over a channel in which certain pairs of values may be confused. This measure, first introduced by Körner in the 1970s, has since also proven itself useful in other settings, including combinatorics.
== D... | Wikipedia/Graph_entropy |
Generalized relative entropy (
ε
{\displaystyle \varepsilon }
-relative entropy) is a measure of dissimilarity between two quantum states. It is a "one-shot" analogue of quantum relative entropy and shares many properties of the latter quantity.
In the study of quantum informat... | Wikipedia/Generalized_relative_entropy |
The Hartley function is a measure of uncertainty, introduced by Ralph Hartley in 1928. If a sample from a finite set A uniformly at random is picked, the information revealed after the outcome is known is given by the Hartley function
H
0
... | Wikipedia/Hartley_entropy |
Sample entropy (SampEn; more appropriately K_2 entropy or Takens-Grassberger-Procaccia correlation entropy ) is a modification of approximate entropy (ApEn; more appropriately "Procaccia-Cohen entropy"), used for assessing the complexity of physiological and other time-series signals, diagnosing e.g. diseased states. ... | Wikipedia/Sample_entropy |
In information theory and statistics, negentropy is used as a measure of distance to normality. The concept and phrase "negative entropy" was introduced by Erwin Schrödinger in his 1944 popular-science book What is Life? Later, French physicist Léon Brillouin shortened the phrase to néguentropie (negentropy). In 1974,... | Wikipedia/Negative_entropy |
In statistics, an approximate entropy (ApEn) is a technique used to quantify the amount of regularity and the unpredictability of fluctuations over time-series data. For example, consider two series of data:
Series A: (0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, ...), which alternates 0 and 1.
Series B: (0, 1, 0, ... | Wikipedia/Approximate_entropy |
In various science/engineering applications, such as independent component analysis, image analysis, genetic analysis, speech recognition, manifold learning, and time delay estimation it is useful to estimate the differential entropy of a system or process, given some observations.
The simplest and most common approach... | Wikipedia/Entropy_estimation |
Plant diseases are diseases in plants caused by pathogens (infectious organisms) and environmental conditions (physiological factors). Organisms that cause infectious disease include fungi, oomycetes, bacteria, viruses, viroids, virus-like organisms, phytoplasmas, protozoa, nematodes and parasitic plants. Not included ... | Wikipedia/Plant_disease |
The Ricker model, named after Bill Ricker, is a classic discrete population model which gives the expected number N t+1 (or density) of individuals in generation t + 1 as a function of the number of individuals in the previous generation,
N
t
+
... | Wikipedia/Ricker_model |
In demography and population dynamics, the rate of natural increase (RNI), also known as natural population change, is defined as the birth rate minus the death rate of a particular population, over a particular time period. It is typically expressed either as a number per 1,000 individuals in the population or as a pe... | Wikipedia/Rate_of_natural_increase |
Mathematical models can project how infectious diseases progress to show the likely outcome of an epidemic (including in plants) and help inform public health and plant health interventions. Models use basic assumptions or collected statistics along with mathematics to find parameters for various infectious diseases an... | Wikipedia/Mathematical_modelling_in_epidemiology |
The Lotka–Volterra equations, also known as the Lotka–Volterra predator–prey model, are a pair of first-order nonlinear differential equations, frequently used to describe the dynamics of biological systems in which two species interact, one as a predator and the other as prey. The populations change through time accor... | Wikipedia/Lotka-Volterra_equations |
The Lotka–Volterra equations, also known as the Lotka–Volterra predator–prey model, are a pair of first-order nonlinear differential equations, frequently used to describe the dynamics of biological systems in which two species interact, one as a predator and the other as prey. The populations change through time accor... | Wikipedia/Lotka–Volterra_equation |
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_Genetic_Theory_of_Natural_Selection |
The population dynamics of pest insects is a subject of interest to farmers, agricultural economists, ecologists, and those concerned with animal welfare.
== Factors affecting populations ==
Density-independent: Affect a population equally regardless of its density. Examples:
A winter freeze may kill a constant frac... | Wikipedia/Pest_insect_population_dynamics |
Viable system theory (VST) concerns cybernetic processes in relation to the development/evolution of dynamical systems: it can be used to explain living systems, which are considered to be complex and adaptive, can learn, and are capable of maintaining an autonomous existence, at least within the confines of their cons... | Wikipedia/Viable_System_Theory |
Autonomous agency theory (AAT) is a viable system theory (VST) which models autonomous social complex adaptive systems. It can be used to model the relationship between an agency and its environment(s), and these may include other interactive agencies. The nature of that interaction is determined by both the agency's ... | Wikipedia/Autonomous_Agency_Theory |
Systems biology is the computational and mathematical analysis and modeling of complex biological systems. It is a biology-based interdisciplinary field of study that focuses on complex interactions within biological systems, using a holistic approach (holism instead of the more traditional reductionism) to biological ... | Wikipedia/Complex_systems_biology |
The Journal of Universal Computer Science is a monthly peer-reviewed open-access scientific journal covering all aspects of computer science.
== History ==
The journal was established in 1994 and is published by the J.UCS Consortium, formed by nine research organisations. The editors-in-chief are Muhammad Tanvir Afz... | Wikipedia/Journal_of_Universal_Computer_Science |
A network partition is a division of a computer network into relatively independent subnets, either by design, to optimize them separately, or due to the failure of network devices. Distributed software must be designed to be partition-tolerant, that is, even after the network is partitioned, it still works correctly.
... | Wikipedia/Network_partition |
Actor–network theory (ANT) is a theoretical and methodological approach to social theory where everything in the social and natural worlds exists in constantly shifting networks of relationships. It posits that nothing exists outside those relationships. All the factors involved in a social situation are on the same le... | Wikipedia/Actor-network_theory |
A narrative network is a system that represents complex event sequences or characters’ interactions as depicted by a narrative text. Network science methodology offers an alternative way of analysing the patterns of relationships, composition and activities of events and actors studied in their own context. Network the... | Wikipedia/Narrative_network |
A human disease network is a network of human disorders and diseases with reference to their genetic origins or other features. More specifically, it is the map of human disease associations referring mostly to disease genes. For example, in a human disease network, two diseases are linked if they share at least one as... | Wikipedia/Human_disease_network |
Signal processing is an electrical engineering subfield that focuses on analyzing, modifying and synthesizing signals, such as sound, images, potential fields, seismic signals, altimetry processing, and scientific measurements. Signal processing techniques are used to optimize transmissions, digital storage efficiency,... | Wikipedia/signal_processing |
Algebraic signal processing (ASP) is an emerging area of theoretical signal processing (SP). In the algebraic theory of signal processing, a set of filters is treated as an (abstract) algebra, a set of signals is treated as a module or vector space, and convolution is treated as an algebra representation. The advantage... | Wikipedia/Algebraic_signal_processing |
A voltage-controlled oscillator (VCO) is an electronic oscillator whose oscillation frequency is controlled by a voltage input. The applied input voltage determines the instantaneous oscillation frequency. Consequently, a VCO can be used for frequency modulation (FM) or phase modulation (PM) by applying a modulating s... | Wikipedia/Voltage-controlled_oscillator |
In Hamiltonian mechanics, the linear canonical transformation (LCT) is a family of integral transforms that generalizes many classical transforms. It has 4 parameters and 1 constraint, so it is a 3-dimensional family, and can be visualized as the action of the special linear group SL2(C) on the time–frequency plane (do... | Wikipedia/Linear_canonical_transformation |
In electronics, an analog-to-digital converter (ADC, A/D, or A-to-D) is a system that converts an analog signal, such as a sound picked up by a microphone or light entering a digital camera, into a digital signal. An ADC may also provide an isolated measurement such as an electronic device that converts an analog input... | Wikipedia/Analog-to-digital_conversion |
A voltage-controlled filter (VCF) is an electronic filter whose operating characteristics (primarily cutoff frequency) can be set by an input control voltage. Voltage-controlled filters are widely used in synthesizers.
A music synthesizer VCF allows its cutoff frequency, and sometimes its Q factor (resonance at the cu... | Wikipedia/Voltage-controlled_filter |
A variable-gain (VGA) or voltage-controlled amplifier (VCA) is an electronic amplifier that varies its gain depending on a control voltage (often abbreviated CV).
VCAs have many applications, including audio level compression, synthesizers and amplitude modulation.
A crude example is a typical inverting op-amp configur... | Wikipedia/Voltage-controlled_amplifier |
A triangular function (also known as a triangle function, hat function, or tent function) is a function whose graph takes the shape of a triangle. Often this is an isosceles triangle of height 1 and base 2 in which case it is referred to as the triangular function. Triangular functions are useful in signal processing a... | Wikipedia/Triangle_function |
In mathematics, the discrete Fourier transform over a ring generalizes the discrete Fourier transform (DFT), of a function whose values are commonly complex numbers, over an arbitrary ring.
== Definition ==
Let R be any ring, let
n
≥
1
{\displaystyle n\geq 1}
... | Wikipedia/Discrete_Fourier_transform_(general) |
In signal processing and statistics, a window function (also known as an apodization function or tapering function) is a mathematical function that is zero-valued outside of some chosen interval. Typically, window functions are symmetric around the middle of the interval, approach a maximum in the middle, and taper awa... | Wikipedia/Window_function |
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