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In theoretical physics, the (one-dimensional) nonlinear Schrödinger equation (NLSE) is a nonlinear variation of the Schrödinger equation. It is a classical field equation whose principal applications are to the propagation of light in nonlinear optical fibers, planar waveguides and hot rubidium vapors
and to Bose–Eins... | Wikipedia/Nonlinear_Schrödinger_equation |
In plasma physics, the Vlasov equation is a differential equation describing time evolution of the distribution function of collisionless plasma consisting of charged particles with long-range interaction, such as the Coulomb interaction. The equation was first suggested for the description of plasma by Anatoly Vlasov ... | Wikipedia/Vlasov_equation |
In 1927, a year after the publication of the Schrödinger equation, Hartree formulated what are now known as the Hartree equations for atoms, using the concept of self-consistency that Lindsay had introduced in his study of many electron systems in the context of Bohr theory. Hartree assumed that the nucleus together w... | Wikipedia/Hartree_equation |
In physics, force is what, when unopposed, changes the motion of an object.
Force is also a dialectal term for a "waterfall".
Force or forces may also refer to:
== Places ==
Force, Marche, a municipality in Ascoli Piceno, Italy
Forcé, Mayenne, France; a commune
Force, Pennsylvania, an unincorporated community in Pen... | Wikipedia/Force_(disambiguation) |
Centrifugal force is a fictitious force in Newtonian mechanics (also called an "inertial" or "pseudo" force) that appears to act on all objects when viewed in a rotating frame of reference. It appears to be directed radially away from the axis of rotation of the frame. The magnitude of the centrifugal force F on an obj... | Wikipedia/Centrifugal_force_(rotating_reference_frame) |
In physics, dynamics or classical dynamics is the study of forces and their effect on motion.
It is a branch of classical mechanics, along with statics and kinematics.
The fundamental principle of dynamics is linked to Newton's second law.
== Subdivisions ==
=== Rigid bodies ===
=== Fluids ===
== Applications =... | Wikipedia/Dynamics_(physics) |
A contact force is any force that occurs because of two objects making contact with each other. Contact forces are very common and are responsible for most visible interactions between macroscopic collections of matter. Pushing a car or kicking a ball are everyday examples where contact forces are at work. In the first... | Wikipedia/Contact_force |
The pound of force or pound-force (symbol: lbf, sometimes lbf,) is a unit of force used in some systems of measurement, including English Engineering units and the foot–pound–second system.
Pound-force should not be confused with pound-mass (lb), often simply called "pound", which is a unit of mass; nor should these b... | Wikipedia/Pound_(force) |
A force gauge (also called a force meter) is a measuring instrument used to measure forces. Applications exist in research and development, laboratory, quality, production and field environment. There are two kinds of force gauges today: mechanical and digital force gauges. Force Gauges usually measure pressure in stre... | Wikipedia/Force_gauge |
In physics, a force is an influence that can cause an object to change its velocity unless counterbalanced by other forces. In mechanics, force makes ideas like 'pushing' or 'pulling' mathematically precise. Because the magnitude and direction of a force are both important, force is a vector quantity. The SI unit of fo... | Wikipedia/Physical_force |
In fluid dynamics, drag, sometimes referred to as fluid resistance, is a force acting opposite to the direction of motion of any object moving with respect to a surrounding fluid. This can exist between two fluid layers, two solid surfaces, or between a fluid and a solid surface. Drag forces tend to decrease fluid velo... | Wikipedia/Drag_(physics) |
The pound of force or pound-force (symbol: lbf, sometimes lbf,) is a unit of force used in some systems of measurement, including English Engineering units and the foot–pound–second system.
Pound-force should not be confused with pound-mass (lb), often simply called "pound", which is a unit of mass; nor should these b... | Wikipedia/Pound-force |
Reviews of Modern Physics (often abbreviated RMP) is a quarterly peer-reviewed scientific journal published by the American Physical Society. It was established in 1929 and the current editor-in-chief is Michael Thoennessen. The journal publishes review articles, usually by established researchers, on all aspects of ph... | Wikipedia/Reviews_of_Modern_Physics |
The kilogram-force (kgf or kgF), or kilopond (kp, from Latin: pondus, lit. 'weight'), is a non-standard gravitational metric unit of force. It is not accepted for use with the International System of Units (SI) and is deprecated for most uses. The kilogram-force is equal to the magnitude of the force exerted on one kil... | Wikipedia/Kilogram-force |
Quantum Field Theory in a Nutshell is a textbook by Anthony Zee covering quantum field theory. The book has been adopted by many universities, including Harvard University, Princeton University, the University of California, Berkeley, the California Institute of Technology, Columbia University, Stanford University, and... | Wikipedia/Quantum_Field_Theory_in_a_Nutshell |
In mathematics and physics, a scalar field is a function associating a single number to each point in a region of space – possibly physical space. The scalar may either be a pure mathematical number (dimensionless) or a scalar physical quantity (with units).
In a physical context, scalar fields are required to be indep... | Wikipedia/Scalar_function |
In physics, a force is an influence that can cause an object to change its velocity unless counterbalanced by other forces. In mechanics, force makes ideas like 'pushing' or 'pulling' mathematically precise. Because the magnitude and direction of a force are both important, force is a vector quantity. The SI unit of fo... | Wikipedia/Yank_(physics) |
In engineering, a parallel force system is a type of force system where in all forces are oriented along one axis.
An example of this type of system is a see saw. In a see saw, the children apply the two forces at the ends, and the fulcrum in the middle gives the counter force to maintain the see saw in a neutral posi... | Wikipedia/Parallel_force_system |
In statistical mechanics, a microstate is a specific configuration of a system that describes the precise positions and momenta of all the individual particles or components that make up the system. Each microstate has a certain probability of occurring during the course of the system's thermal fluctuations.
In contras... | Wikipedia/Microstate_(statistical_mechanics) |
In nuclear physics and particle physics, the strong interaction, also called the strong force or strong nuclear force, is one of the four known fundamental interactions. It confines quarks into protons, neutrons, and other hadron particles, and also binds neutrons and protons to create atomic nuclei, where it is called... | Wikipedia/Strong_force |
In mechanics, a displacement field is the assignment of displacement vectors for all points in a region or body that are displaced from one state to another. A displacement vector specifies the position of a point or a particle in reference to an origin or to a previous position. For example, a displacement field may b... | Wikipedia/Displacement_field_(mechanics) |
Coulomb's inverse-square law, or simply Coulomb's law, is an experimental law of physics that calculates the amount of force between two electrically charged particles at rest. This electric force is conventionally called the electrostatic force or Coulomb force. Although the law was known earlier, it was first publish... | Wikipedia/Electrostatic_force |
In nuclear physics and particle physics, the weak interaction, weak force or the weak nuclear force, is one of the four known fundamental interactions, with the others being electromagnetism, the strong interaction, and gravitation. It is the mechanism of interaction between subatomic particles that is responsible for ... | Wikipedia/Weak_force |
In quantum mechanics, the expectation value is the probabilistic expected value of the result (measurement) of an experiment. It can be thought of as an average of all the possible outcomes of a measurement as weighted by their likelihood, and as such it is not the most probable value of a measurement; indeed the expec... | Wikipedia/Expectation_value_(quantum_mechanics) |
When a fluid flows around an object, the fluid exerts a force on the object. Lift is the component of this force that is perpendicular to the oncoming flow direction. It contrasts with the drag force, which is the component of the force parallel to the flow direction. Lift conventionally acts in an upward direction in ... | Wikipedia/Lift_(physics) |
Aristotelian physics is the form of natural philosophy described in the works of the Greek philosopher Aristotle (384–322 BC). In his work Physics, Aristotle intended to establish general principles of change that govern all natural bodies, both living and inanimate, celestial and terrestrial – including all motion (ch... | Wikipedia/Aristotelian_theory_of_gravity |
The second law of thermodynamics is a physical law based on universal empirical observation concerning heat and energy interconversions. A simple statement of the law is that heat always flows spontaneously from hotter to colder regions of matter (or 'downhill' in terms of the temperature gradient). Another statement i... | Wikipedia/Second_law_of_thermodynamics |
Tension is the pulling or stretching force transmitted axially along an object such as a string, rope, chain, rod, truss member, or other object, so as to stretch or pull apart the object. In terms of force, it is the opposite of compression. Tension might also be described as the action-reaction pair of forces acting ... | Wikipedia/Tension_(physics) |
In physics, a Unified Field Theory (UFT) or “Theory of Everything” is a type of field theory that allows all fundamental forces of nature, including gravity, and all elementary particles to be written in terms of a single physical field. According to quantum field theory, particles are themselves the quanta of fields. ... | Wikipedia/Unified_field_theory |
As described by the third of Newton's laws of motion of classical mechanics, all forces occur in pairs such that if one object exerts a force on another object, then the second object exerts an equal and opposite reaction force on the first. The third law is also more generally stated as: "To every action there is al... | Wikipedia/Reaction_(physics) |
In differential geometry, the radius of curvature, R, is the reciprocal of the curvature. For a curve, it equals the radius of the circular arc which best approximates the curve at that point. For surfaces, the radius of curvature is the radius of a circle that best fits a normal section or combinations thereof.
== D... | Wikipedia/Radius_of_curvature_(applications) |
In physics, the fundamental interactions or fundamental forces are interactions in nature that appear not to be reducible to more basic interactions. There are four fundamental interactions known to exist:
gravity
electromagnetism
weak interaction
strong interaction
The gravitational and electromagnetic interactions ... | Wikipedia/Fundamental_forces |
Specific force (SF) is a mass-specific quantity defined as the quotient of force per unit mass.
S
F
=
F
/
m
{\displaystyle \mathrm {SF} =F/m}
It is a physical quantity of kind acceleration, with... | Wikipedia/Specific_force |
In physics and engineering, mass flow rate is the rate at which mass of a substance changes over time. Its unit is kilogram per second (kg/s) in SI units, and slug per second or pound per second in US customary units. The common symbol is
m
... | Wikipedia/Mass_flow_rate |
The symmetry of a physical system is a physical or mathematical feature of the system (observed or intrinsic) that is preserved or remains unchanged under some transformation.
A family of particular transformations may be continuous (such as rotation of a circle) or discrete (e.g., reflection of a bilaterally symmetric... | Wikipedia/Symmetry_in_physics |
In the special theory of relativity, four-force is a four-vector that replaces the classical force.
== In special relativity ==
The four-force is defined as the rate of change in the four-momentum of a particle with respect to the particle's proper time. Hence,:
F
=... | Wikipedia/Four-force |
In mechanics, strain is defined as relative deformation, compared to a reference position configuration. Different equivalent choices may be made for the expression of a strain field depending on whether it is defined with respect to the initial or the final configuration of the body and on whether the metric tensor or... | Wikipedia/Strain_(physics) |
Atmospheric science is the study of the Earth's atmosphere and its various inner-working physical processes. Meteorology includes atmospheric chemistry and atmospheric physics with a major focus on weather forecasting. Climatology is the study of atmospheric conditions over timescales longer than those of weather, focu... | Wikipedia/Atmospheric_science |
Force control is the control of the force with which a machine or the manipulator of a robot acts on an object or its environment. By controlling the contact force, damage to the machine as well as to the objects to be processed and injuries when handling people can be prevented. In manufacturing tasks, it can compensa... | Wikipedia/Force_control |
In science, work is the energy transferred to or from an object via the application of force along a displacement. In its simplest form, for a constant force aligned with the direction of motion, the work equals the product of the force strength and the distance traveled. A force is said to do positive work if it has a... | Wikipedia/Work_energy_theorem |
Buoyancy (), or upthrust, is the force exerted by a fluid opposing the weight of a partially or fully immersed object (which may be also be a parcel of fluid). In a column of fluid, pressure increases with depth as a result of the weight of the overlying fluid. Thus, the pressure at the bottom of a column of fluid is g... | Wikipedia/Buoyant_force |
The moment of inertia, otherwise known as the mass moment of inertia, angular/rotational mass, second moment of mass, or most accurately, rotational inertia, of a rigid body is defined relatively to a rotational axis. It is the ratio between the torque applied and the resulting angular acceleration about that axis.: 27... | Wikipedia/Moment_of_inertia_tensor |
The theory of impetus, developed in the Middle Ages, attempts to explain the forced motion of a body, what it is, and how it comes about or ceases. It is important to note that in ancient and medieval times, motion was always considered absolute, relative to the Earth as the center of the universe.
The theory of impet... | Wikipedia/Impetus_theory |
Variational Bayesian methods are a family of techniques for approximating intractable integrals arising in Bayesian inference and machine learning. They are typically used in complex statistical models consisting of observed variables (usually termed "data") as well as unknown parameters and latent variables, with var... | Wikipedia/Variational_Bayesian_methods |
In mathematics, the direct method in the calculus of variations is a general method for constructing a proof of the existence of a minimizer for a given functional, introduced by Stanisław Zaremba and David Hilbert around 1900. The method relies on methods of functional analysis and topology. As well as being used to p... | Wikipedia/Direct_method_in_calculus_of_variations |
The calculus of variations (or variational calculus) is a field of mathematical analysis that uses variations, which are small changes in functions
and functionals, to find maxima and minima of functionals: mappings from a set of functions to the real numbers. Functionals are often expressed as definite integrals invol... | Wikipedia/Variational_method |
In linear algebra, an eigenvector ( EYE-gən-) or characteristic vector is a vector that has its direction unchanged (or reversed) by a given linear transformation. More precisely, an eigenvector
v
{\displaystyle \mathbf {v} }
of a linear transformation
... | Wikipedia/Eigenvalue_problem |
In mathematics and applied mathematics, perturbation theory comprises methods for finding an approximate solution to a problem, by starting from the exact solution of a related, simpler problem. A critical feature of the technique is a middle step that breaks the problem into "solvable" and "perturbative" parts. In re... | Wikipedia/Perturbation_methods |
In mathematics, the inverse problem for Lagrangian mechanics is the problem of determining whether a given system of ordinary differential equations can arise as the Euler–Lagrange equations for some Lagrangian function.
There has been a great deal of activity in the study of this problem since the early 20th century. ... | Wikipedia/Inverse_problem_for_Lagrangian_mechanics |
In mathematical physics, the De Donder–Weyl theory is a generalization of the Hamiltonian formalism in the calculus of variations and classical field theory over spacetime which treats the space and time coordinates on equal footing. In this framework, the Hamiltonian formalism in mechanics is generalized to field theo... | Wikipedia/De_Donder–Weyl_theory |
Optimal control theory is a branch of control theory that deals with finding a control for a dynamical system over a period of time such that an objective function is optimized. It has numerous applications in science, engineering and operations research. For example, the dynamical system might be a spacecraft with con... | Wikipedia/Optimal_control_theory |
Variational methods in general relativity refers to various mathematical techniques that employ the use of variational calculus in Einstein's theory of general relativity. The most commonly used tools are Lagrangians and Hamiltonians and are used to derive the Einstein field equations.
== Lagrangian methods ==
The ... | Wikipedia/Variational_methods_in_general_relativity |
In mathematics, specifically in the calculus of variations, a variation δf of a function f can be concentrated on an arbitrarily small interval, but not a single point.
Accordingly, the necessary condition of extremum (functional derivative equal zero) appears in a weak formulation (variational form) integrated with an... | Wikipedia/Fundamental_lemma_of_calculus_of_variations |
In quantum mechanics, the variational method is one way of finding approximations to the lowest energy eigenstate or ground state, and some excited states. This allows calculating approximate wavefunctions such as molecular orbitals. The basis for this method is the variational principle.
The method consists of choosin... | Wikipedia/Variational_method_(quantum_mechanics) |
The Rayleigh–Ritz method is a direct numerical method of approximating eigenvalues, originated in the context of solving physical boundary value problems and named after Lord Rayleigh and Walther Ritz.
In this method, an infinite-dimensional linear operator is approximated by a finite-dimensional compression, on which ... | Wikipedia/Rayleigh–Ritz_method |
Physics Today is the membership magazine of the American Institute of Physics. First published in May 1948, it is issued on a monthly schedule, and is provided to the members of ten physics societies, including the American Physical Society. It is also available to non-members as a paid annual subscription.
The magazin... | Wikipedia/Physics_Today |
Contemporary Physics is a peer-reviewed scientific journal publishing introductory articles on important recent developments in physics.
Editorial screening and peer review is carried out by members of the editorial board.
== Overview ==
Contemporary Physics has been published by Taylor & Francis since 1959 and publi... | Wikipedia/Contemporary_Physics |
The Heaviside step function, or the unit step function, usually denoted by H or θ (but sometimes u, 1 or 𝟙), is a step function named after Oliver Heaviside, the value of which is zero for negative arguments and one for positive arguments. Different conventions concerning the value H(0) are in use. It is an example o... | Wikipedia/Heaviside_function |
Calculus is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations.
Originally called infinitesimal calculus or "the calculus of infinitesimals", it has two major branches, differential calculus and integral ... | Wikipedia/Calculus_of_functions |
In mathematics, Borel's lemma, named after Émile Borel, is an important result used in the theory of asymptotic expansions and partial differential equations.
== Statement ==
Suppose U is an open set in the Euclidean space Rn, and suppose that f0, f1, ... is a sequence of smooth functions on U.
If I is any open inter... | Wikipedia/Borel's_lemma |
In mathematics, the term "characteristic function" can refer to any of several distinct concepts:
The indicator function of a subset, that is the function
1
A
:
X
→
{
0
... | Wikipedia/Characteristic_function |
The foot-pound force (symbol: ft⋅lbf, ft⋅lbf, or ft⋅lb ) is a unit of work or energy in the engineering and gravitational systems in United States customary and imperial units of measure. It is the energy transferred upon applying a force of one pound-force (lbf) through a linear displacement of one foot. The corres... | Wikipedia/Foot-pound_(energy) |
Magnetism is the class of physical attributes that occur through a magnetic field, which allows objects to attract or repel each other. Because both electric currents and magnetic moments of elementary particles give rise to a magnetic field, magnetism is one of two aspects of electromagnetism.
The most familiar effect... | Wikipedia/Magnetic_force |
In classical mechanics, a central force on an object is a force that is directed towards or away from a point called center of force.
F
(
r
)
=
F
(
r
)
... | Wikipedia/Central_force |
Statics is the branch of classical mechanics that is concerned with the analysis of force and torque acting on a physical system that does not experience an acceleration, but rather is in equilibrium with its environment.
If
F
{\displa... | Wikipedia/Point_of_application |
In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure, shape or space by the same distance in a given direction. A translation can also be interpreted as the addition of a constant vector to every point, or as shifting the origin of the coordinate system. In a Euclidean s... | Wikipedia/Translation_(physics) |
Luminiferous aether or ether (luminiferous meaning 'light-bearing') was the postulated medium for the propagation of light. It was invoked to explain the ability of the apparently wave-based light to propagate through empty space (a vacuum), something that waves should not be able to do. The assumption of a spatial ple... | Wikipedia/Plenum_(physics) |
In metaphysics, extension signifies both 'stretching out' (Latin: extensio) as well as later 'taking up space', and most recently, spreading one's internal mental cognition into the external world.
The history of thinking about extension can be traced back at least to Archytas' spear analogy for the infinity of space. ... | Wikipedia/Extension_(metaphysics) |
Reflection is the change in direction of a wavefront at an interface between two different media so that the wavefront returns into the medium from which it originated. Common examples include the reflection of light, sound and water waves. The law of reflection says that for specular reflection (for example at a mirro... | Wikipedia/Reflection_(physics) |
In contract law, force majeure ( FORSS mə-ZHUR; French: [fɔʁs maʒœʁ]) is a common clause in contracts which essentially frees both parties from liability or obligation when an extraordinary event or circumstance beyond the control of the parties, such as a war, strike, riot, crime, epidemic, or sudden legal change prev... | Wikipedia/Force_majeure |
The theory of statistics provides a basis for the whole range of techniques, in both study design and data analysis, that are used within applications of statistics. The theory covers approaches to statistical-decision problems and to statistical inference, and the actions and deductions that satisfy the basic princip... | Wikipedia/Statistical_theory |
In statistics, asymptotic theory, or large sample theory, is a framework for assessing properties of estimators and statistical tests. Within this framework, it is often assumed that the sample size n may grow indefinitely; the properties of estimators and tests are then evaluated under the limit of n → ∞. In practice,... | Wikipedia/Asymptotic_theory_(statistics) |
Quality control (QC) is a process by which entities review the quality of all factors involved in production. ISO 9000 defines quality control as "a part of quality management focused on fulfilling quality requirements".
This approach places emphasis on three aspects (enshrined in standards such as ISO 9001):
Elements... | Wikipedia/Quality_control |
Simultaneous equations models are a type of statistical model in which the dependent variables are functions of other dependent variables, rather than just independent variables. This means some of the explanatory variables are jointly determined with the dependent variable, which in economics usually is the consequenc... | Wikipedia/Simultaneous_equations_model |
Clinical study design is the formulation of clinical trials and other experiments, as well as observational studies, in medical research involving human beings and involving clinical aspects, including epidemiology . It is the design of experiments as applied to these fields. The goal of a clinical study is to assess ... | Wikipedia/Clinical_study_design |
Kidnap and ransom insurance or K&R insurance is designed to protect individuals and corporations operating in high-risk areas around the world. Locations most often named in policies include Mexico, Venezuela, Haiti, and Nigeria, certain other countries in Latin America, as well as some parts of the Russian Federation ... | Wikipedia/Kidnap_and_ransom_insurance |
In statistics, the method of moments is a method of estimation of population parameters. The same principle is used to derive higher moments like skewness and kurtosis.
It starts by expressing the population moments (i.e., the expected values of powers of the random variable under consideration) as functions of the par... | Wikipedia/Method_of_moments_(statistics) |
A mixed model, mixed-effects model or mixed error-component model is a statistical model containing both fixed effects and random effects. These models are useful in a wide variety of disciplines in the physical, biological and social sciences.
They are particularly useful in settings where repeated measurements are m... | Wikipedia/Mixed_model |
A fraternal order is a voluntary membership group organised as an order, with an initiation ritual and traits alluding to religious, chivalric or pseudo-chivalric orders, guilds, or secret societies. Fraternal orders typically have secular purposes, serving as social clubs, cultural organizations and providing a form o... | Wikipedia/Fraternal_order |
Methods engineering is a subspecialty of industrial engineering and manufacturing engineering concerned with human integration in industrial production processes.
== Overview ==
Alternatively it can be described as the design of the productive process in which a person is involved. The task of the Methods engineer is... | Wikipedia/Methods_engineering |
A randomized controlled trial (or randomized control trial; RCT) is a form of scientific experiment used to control factors not under direct experimental control. Examples of RCTs are clinical trials that compare the effects of drugs, surgical techniques, medical devices, diagnostic procedures, diets or other medical t... | Wikipedia/Randomized_controlled_trial |
Stochastic approximation methods are a family of iterative methods typically used for root-finding problems or for optimization problems. The recursive update rules of stochastic approximation methods can be used, among other things, for solving linear systems when the collected data is corrupted by noise, or for appro... | Wikipedia/Stochastic_approximation |
In time series analysis, the Box–Jenkins method, named after the statisticians George Box and Gwilym Jenkins, applies autoregressive moving average (ARMA) or autoregressive integrated moving average (ARIMA) models to find the best fit of a time-series model to past values of a time series.
== Modeling approach ==
The... | Wikipedia/Box–Jenkins_method |
In statistics, the method of estimating equations is a way of specifying how the parameters of a statistical model should be estimated. This can be thought of as a generalisation of many classical methods—the method of moments, least squares, and maximum likelihood—as well as some recent methods like M-estimators.
The ... | Wikipedia/Estimating_equations |
Clinical trials are prospective biomedical or behavioral research studies on human participants designed to answer specific questions about biomedical or behavioral interventions, including new treatments (such as novel vaccines, drugs, dietary choices, dietary supplements, and medical devices) and known interventions ... | Wikipedia/Clinical_trial |
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_clinical_trial |
Interest rate insurance protects the holder of a variable rate mortgage or loan from rising interest rates. It is generally offered independently of the original borrowing and typically as an alternative to a remortgage onto a fixed rate.
As the insurance policy protects only against the risk of the repayments rising b... | Wikipedia/Interest_rate_insurance |
In time series analysis, the partial autocorrelation function (PACF) gives the partial correlation of a stationary time series with its own lagged values, regressed the values of the time series at all shorter lags. It contrasts with the autocorrelation function, which does not control for other lags.
This function pla... | Wikipedia/Partial_autocorrelation_function |
Up-and-down designs (UDDs) are a family of statistical experiment designs used in dose-finding experiments in science, engineering, and medical research. Dose-finding experiments have binary responses: each individual outcome can be described as one of two possible values, such as success vs. failure or toxic vs. non-t... | Wikipedia/Up-and-Down_Designs |
In statistics, first-hitting-time models are simplified models that estimate the amount of time that passes before some random or stochastic process crosses a barrier, boundary or reaches a specified state, termed the first hitting time, or the first passage time. Accurate models give insight into the physical system ... | Wikipedia/First-hitting-time_model |
Failure rate is the frequency with which any system or component fails, expressed in failures per unit of time. It thus depends on the system conditions, time interval, and total number of systems under study.
It can describe electronic, mechanical, or biological systems, in fields such as systems and reliability engin... | Wikipedia/Failure_rate |
In statistics, an empirical distribution function (a.k.a. an empirical cumulative distribution function, eCDF) is the distribution function associated with the empirical measure of a sample. This cumulative distribution function is a step function that jumps up by 1/n at each of the n data points. Its value at any spec... | Wikipedia/Empirical_distribution_function |
Proportional hazards models are a class of survival models in statistics. Survival models relate the time that passes, before some event occurs, to one or more covariates that may be associated with that quantity of time. In a proportional hazards model, the unique effect of a unit increase in a covariate is multipli... | Wikipedia/Proportional_hazards_model |
The survival function is a function that gives the probability that a patient, device, or other object of interest will survive past a certain time.
The survival function is also known as the survivor function or reliability function.
The term reliability function is common in engineering while the term survival functi... | Wikipedia/Survival_function |
Frequentist inference is a type of statistical inference based in frequentist probability, which treats “probability” in equivalent terms to “frequency” and draws conclusions from sample-data by means of emphasizing the frequency or proportion of findings in the data. Frequentist inference underlies frequentist statist... | Wikipedia/Frequentist_inference |
Probabilistic design is a discipline within engineering design. It deals primarily with the consideration and minimization of the effects of random variability upon the performance of an engineering system during the design phase. Typically, these effects studied and optimized are related to quality and reliability. It... | Wikipedia/Probabilistic_design |
In the statistical area of survival analysis, an accelerated failure time model (AFT model) is a parametric model that provides an alternative to the commonly used proportional hazards models. Whereas a proportional hazards model assumes that the effect of a covariate is to multiply the hazard by some constant, an AFT... | Wikipedia/Accelerated_failure_time_model |
Demographic statistics are measures of the characteristics of, or changes to, a population. Records of births, deaths, marriages, immigration and emigration and a regular census of population provide information that is key to making sound decisions about national policy.
A useful summary of such data is the population... | Wikipedia/Demographic_statistics |
Statistical process control (SPC) or statistical quality control (SQC) is the application of statistical methods to monitor and control the quality of a production process. This helps to ensure that the process operates efficiently, producing more specification-conforming products with less waste scrap. SPC can be appl... | Wikipedia/Statistical_process_control |
A scientific control is an experiment or observation designed to minimize the effects of variables other than the independent variable (i.e. confounding variables). This increases the reliability of the results, often through a comparison between control measurements and the other measurements. Scientific controls are ... | Wikipedia/Scientific_control |
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