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Thermodynamic quantity
path of a process through the equilibrium state space of a thermodynamic system is termed a process function, or, alternatively, a process quantity, or
Process_function
Series of activities
continuous-time stochastic process Process calculus, a diverse family of related approaches for formally modeling concurrent systems Process function, a mathematical
Process
Collection of random variables
countries. The term random function is also used to refer to a stochastic or random process, because a stochastic process can also be interpreted as a
Stochastic_process
Mental process dealing with knowledge
word cognition. Cognitive processes encompass various types, each managing different information and performing distinct functions within the human mind.
Cognition
Topics referred to by the same term
a type of key on computer keyboards Function model, a structured representation of processes in a system Function object or functor or functionoid, a
Function
Statistical model
Gaussian process is the joint distribution of all those (infinitely many) random variables, and as such, it is a distribution over functions on its index
Gaussian_process
Systematic collection of tasks within a business
A business process, business method, or business function is a collection of related, structured activities or tasks performed by people or equipment in
Business_process
Type of random mathematical object
The point process depends on a single mathematical object, which, depending on the context, may be a constant, a locally integrable function or, in more
Poisson_point_process
Any function vital to living organisms
biological process is a process necessary for an organism to live, and therefore shapes its capacity to interact with its environment. Biological processes are
Biological_process
Thermodynamic process
A polytropic process is a thermodynamic process that obeys the relation: p V n = C {\displaystyle pV^{n}=C} where p is the pressure, V is volume, n is
Polytropic_process
Stochastic process generalizing Brownian motion
\end{aligned}}} with the Dirac delta "function" δ {\displaystyle \delta } . However, as shown below, the paths of the Wiener process have unbounded variation and
Wiener_process
Representation on functions in computer engineering
computer science, a function model or functional model is a structured representation of the functions (activities, actions, processes, operations) within
Function_model
Thermodynamic process of a closed system in which volume remains constant
an isochoric process, also called a constant-volume process, an isovolumetric process, or an isometric process, is a thermodynamic process during which
Isochoric_process
Mathematical concept
In mathematics, the inverse function of a function f (also called the inverse of f) is a function that undoes the operation of f. The inverse of f exists
Inverse_function
Thermodynamic process in which no mass or heat is exchanged with surroundings
An adiabatic process (adiabatic from Ancient Greek ἀδιάβατος (adiábatos) 'impassable') is a type of thermodynamic process that occurs without transferring
Adiabatic_process
Cognitive processes necessary for control of behavior
neuropsychology, executive functions (collectively referred to as executive function and cognitive control) are a set of cognitive processes that support goal-directed
Executive_functions
Device or computer program used for writing and editing documents
features. Early word processors were stand-alone devices dedicated to the function, but current word processors are primarily word processor programs running
Word_processor
Techniques to alter a program
library function calls made by a process. Function hooking is implemented by changing the very first few code instructions of the target function to jump
Hooking
Number used by operating system kernels to identify an active process
active process. This number may be used as a parameter in various function calls, allowing processes to be manipulated, such as adjusting the process's priority
Process_identifier
Process by which a quantum system takes on a definitive state
which connects the wave function with classical observables such as position and momentum. Collapse is one of the two processes by which quantum systems
Wave_function_collapse
Thermodynamic process that is reversible and adiabatic
An isentropic process is an idealized thermodynamic process that is both adiabatic and reversible.[excessive citations] Clausius (1875) adopted "isentropic"
Isentropic_process
Function describing equilibrium states of a system
thermodynamics of equilibrium, a state function, function of state, or point function for a thermodynamic system is a function relating several state variables
State_function
Framework used by Congress and the President of the United States
the Federal Budget Process | Center on Budget and Policy Priorities". www.cbpp.org. 2024-10-28. Retrieved 2025-12-19. "Budget Functions | House Budget Committee
United States federal appropriations process
United_States_federal_appropriations_process
Thermodynamic process in which temperature remains constant
An isothermal process is a type of thermodynamic process in which the temperature T of a system remains constant: ΔT = 0. This typically occurs when a
Isothermal_process
Integral expressing the amount of overlap of one function as it is shifted over another
resulting function and to the process of computing it. The integral is evaluated for all values of shift, producing the convolution function. The choice
Convolution
Association of one output to each input
mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the
Function_(mathematics)
Function used in signal processing
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
Window_function
Passage of a system from an initial to a final state of thermodynamic equilibrium
thermodynamic processes: (1) changes in a system, (2) cycles in a system, and (3) flow processes. (1) A thermodynamic process is a process in which the
Thermodynamic_process
Correlation of a signal with a time-shifted copy of itself, as a function of shift
a real or complex random process is the Pearson correlation between values of the process at different times, as a function of the two times or of the
Autocorrelation
Result of repeatedly applying a mathematical function
mathematics, an iterated function is a function that is obtained by composing another function with itself two or several times. The process of repeatedly applying
Iterated_function
Type of energy transfer
therefore, a thermodynamic process function. In general, the term PdV is not an exact differential. The statement that a process is quasi-static gives important
Work_(thermodynamics)
Thermodynamic process
equation for a change in a state function contains P or T, it implies a quasi-static process. While all reversible processes are quasi-static, most authors
Quasistatic_process
Stochastic process modeling random walk with friction
the process tends to drift towards its mean function: such a process is called mean-reverting. The process can be considered to be a modification of the
Ornstein–Uhlenbeck_process
Thermodynamic process with no change in enthalpy
An isenthalpic process or isoenthalpic process is a process that proceeds without any change in enthalpy, H; or specific enthalpy, h. If a steady-state
Isenthalpic_process
Type of energy transfer
concepts of heat and work. Heat is not a state variable or state function; it is a process quantity. A thermodynamic system does not contain heat. Heat can
Heat
Class of stochastic process
a stationary process (also called a strict/strictly stationary process or strong/strongly stationary process) is a stochastic process whose statistical
Stationary_process
Software programming optimization technique
C-Memo – Generic memoization library for C, implemented using pre-processor function wrapper macros. Tek271 Memoizer – Open source Java memoizer using
Memoization
Special mathematical function defined as sin(x)/x
spaced samples of that signal. The sinc filter is used in signal processing. The function itself was first mathematically derived in this form by Lord Rayleigh
Sinc_function
Fundamental building block of control systems
particular. It consists of the process sensor, the controller function, and the final control element (FCE) which controls the process necessary to automatically
Control_loop
Statistical measure of process capability
DPMO or PPM. Process yield is the complement of process fallout and is approximately equal to the area under the probability density function Φ ( σ ) = 1
Process_capability_index
product or apparatus claims (claims referring to a physical entity), and process, method or use claims (claims referring to an activity), see Claim (patent)
List_of_patent_claim_types
Branch of probability theory
suitable non-negative function. The superposition of renewal processes can be studied as a special case of Markov renewal processes. Applications include
Renewal_theory
Free graphics library
License (LGPL). Processing uses the Java programming language, with added simplifications such as added classes and aliased mathematical functions and operations
Processing
Process that cannot be undone or reversed
undergoes an irreversible process may still be capable of returning to its initial state. Because entropy is a state function, the change in entropy of
Irreversible_process
Windows NT data structure
NtCreateUserProcess() as simply a direct copy of the parent process' PEB, in line with how the fork() function operates. For Win32 processes, the initial
Process_Environment_Block
Random set of points on a space with random number and random position
A point process transformation is a function that maps a point process to another point process. We shall see some examples of point processes in R d
Point_process
Type of function in mathematics
signal processing, a complex analytic function is sometimes called an analytic signal. Analyticity is a strong regularity condition. Analytic functions have
Analytic_function
Detailed diagram in the process industry
Instrumentation Diagram (P&ID) is a detailed diagram in the process industry which shows process equipment together with the instrumentation and control devices
Piping and instrumentation diagram
Piping_and_instrumentation_diagram
Property of a thermodynamic system
found to be a function of state, specifically a thermodynamic state of the system. While Clausius based his definition on a reversible process, there are
Entropy
Analytic function that does not satisfy a polynomial equation
mathematics, a transcendental function is an analytic function that does not satisfy a polynomial equation whose coefficients are functions of the independent variable
Transcendental_function
Thermodynamic process in which pressure remains constant
The quantity U + pV is a state function that is called enthalpy, and is denoted as H. Therefore, an isobaric process can be more succinctly described
Isobaric_process
Industrial process for ammonia production
The Haber process, also called the Haber–Bosch process, is the main industrial method for making ammonia. It combines nitrogen from the air with hydrogen
Haber_process
Process whose direction can be reversed
internal energy are state functions whose change depends only on the initial and final states of the system, not on how the process occurred. Therefore, the
Reversible process (thermodynamics)
Reversible_process_(thermodynamics)
Theorem In probability theory and statistics
to the expectation of a function summed over a point process to an integral involving the mean measure of the point process, which allows for the calculation
Campbell's theorem (probability)
Campbell's_theorem_(probability)
Integer number that is made available to the parent of a terminated process
passed to the exits() function, and function main() is type void. In Unix and other POSIX-compatible systems, the parent process can retrieve the exit
Exit_status
Family of solutions to related differential equations
microtremors, in geophysics and seismology. Bessel functions also appear in other fields, such as signal processing (e.g., see FM audio synthesis, Kaiser window
Bessel_function
Function that loads and executes a new child process
In computer science, spawn is a function that loads and executes a new child process. The current process may wait for the child to terminate or may continue
Spawn_(computing)
Collection and manipulation of items of data to produce meaningful information
processing is the collection and manipulation of digital data to produce meaningful information. Data processing is a form of information processing,
Data_processing
Act of staging or presenting a form of entertainment
action or process of carrying out or accomplishing an action, task, or function. In the work place, job performance is the hypothesized conception or requirements
Performance
Mathematical function having a characteristic S-shaped curve or sigmoid curve
sigmoid function is any mathematical function whose graph has a characteristic S-shaped or sigmoid curve. A common example of a sigmoid function is the
Sigmoid_function
Concept in probability and statistics
and statistics, given a stochastic process, the autocovariance is a function that gives the covariance of the process with itself at pairs of time points
Autocovariance
Activity of representing processes of an enterprise
business processes. In the 1990s, the term process became a new productivity paradigm. Companies were encouraged to think in processes instead of functions and
Business_process_modeling
Process of repeating items in a self-similar way
where a function being defined is applied within its own definition. While this apparently defines an infinite number of instances (function values),
Recursion
Computer programming paradigm
in a kernel when the same function is applied to all records of an input stream, allowing multiple records to be processed simultaneously without waiting
Stream_processing
Extension of the factorial function
a finite process, in which case the ordinary gamma function is no longer a solution; the solution is then called an incomplete gamma function. (The ordinary
Gamma_function
Mathematical function used in signal processing
&\left|x\right|>L/2\end{array}}\right\}.} For digital signal processing, the function is sampled symmetrically (with spacing L / N {\displaystyle L/N}
Hann_function
makes contact with a point of a point process. Nearest neighbor function are used in the study of point processes as well as the related fields of stochastic
Nearest neighbour distribution
Nearest_neighbour_distribution
Quantifiable conditions of a thermodynamic system at a specific time
this reason, it is helpful to regard thermodynamic temperature as a state function. A passage from a given initial thermodynamic state to a given final thermodynamic
Thermodynamic_state
Specialized electronic circuit that accelerates graphics
A graphics processing unit (GPU) is a specialized electronic circuit designed for digital image processing and to accelerate computer graphics, being
Graphics_processing_unit
Kernel process in Windows NT operating systems
process's function, its CPU time measurement (visible through, for example, Windows Task Manager) may make it appear to users that the idle process is
System_Idle_Process
Representation of a type of random process
autocorrelation function of an AR(p) process is a sum of decaying exponentials. Each real root contributes a component to the autocorrelation function that decays
Autoregressive_model
Mathematical process of finding the derivative of a trigonometric function
differentiation of trigonometric functions is the mathematical process of finding the derivative of a trigonometric function, or its rate of change with respect
Differentiation of trigonometric functions
Differentiation_of_trigonometric_functions
Equation of the state of a hypothetical ideal gas
relating particle kinetic energy with temperature Configuration integral – Function in thermodynamics and statistical physics Dynamic pressure – Kinetic energy
Ideal_gas_law
Solution to a stochastic differential equation
probability density function as a function of space and time is governed by a convection–diffusion equation. A diffusion process is a Markov process with continuous
Diffusion_process
Linked cyclic series of thermodynamic processes
entropy is a state function. During a closed cycle, the system returns to its original thermodynamic state of temperature and pressure. Process quantities (or
Thermodynamic_cycle
Process of mapping a continuous set to a countable set
In mathematics and digital signal processing, quantization is the process of mapping input values from a large set (often a continuous set) to output
Quantization (signal processing)
Quantization_(signal_processing)
Audio programming language
framework for signal processing. Digital signals are modeled as discrete functions of time, signal processors as second order functions that operate on them
FAUST_(programming_language)
Mathematical model for sequential decision making under uncertainty
{\displaystyle A} ). The goal in a Markov decision process is to find a good "policy" for the decision maker: a function π {\displaystyle \pi } that specifies the
Markov_decision_process
Function with a repeating pattern
A periodic function is a function that repeats its values at regular intervals. For example, the trigonometric functions, which are used to describe waves
Periodic_function
Systematic design of sales processes
management to the sales function. The sales decision process is a formalized sales process companies use to manage the decision process behind a sale. SDP
Sales_process_engineering
Design philosophy of 19th–20th centuries
Form follows function is a principle of design associated with late 19th- and early 20th-century architecture and industrial design in general, which states
Form_follows_function
Process of using materials to produce something
production function assesses the relationship between the inputs and the quantity of output. Economic welfare is created in a production process, meaning
Production_(economics)
Type of data structure
Read_Val; end loop; return Process (Vals); end Read_And_Process; The equivalent Fortran 90 function is function read_and_process(n) result(o) integer,intent(in)::n
Variable-length_array
In engineering, a function is interpreted as a specific process, action or task that a system is able to perform. In the lifecycle of engineering projects
Function_(engineering)
Measure of how a closed loop transfer function is affected by parameter changes
closed loop system is not sensitive to variations in process dynamics. Moreover, the sensitivity function is also important to analyse how disturbances affects
Sensitivity_(control_systems)
Concatenation below. The most basic example of a string function is the length(string) function. This function returns the length of a string literal. e.g. length("hello
Comparison of programming languages (string functions)
Comparison_of_programming_languages_(string_functions)
Distribution function associated with the empirical measure of a sample
an empirical distribution function (a.k.a. an empirical cumulative distribution function, eCDF) is the distribution function associated with the empirical
Empirical distribution function
Empirical_distribution_function
Thermodynamic cycle for spark ignition piston engines
omitted in a simplified analysis. Even though those two processes are critical to the functioning of a real engine, wherein the details of heat transfer
Otto_cycle
Flow chart in business processing
publication on event-driven process chains: An Event-driven process chain (EPC) is an ordered graph of events and functions. It provides various connectors
Event-driven_process_chain
Physics of heat, work, and temperature
are: Adiabatic process: occurs without loss or gain of energy by heat Isenthalpic process: occurs at a constant enthalpy Isentropic process: a reversible
Thermodynamics
Set of functions between two fixed sets
invariants of function spaces; In the theory of stochastic processes, the basic technical problem is how to construct a probability measure on a function space
Function_space
Version of the second law of thermodynamics
state function is zero per cycle, so the fact that this integral is equal to zero per cycle in a reversible process implies that there is some function (entropy)
Clausius_theorem
Function uniquely mapping two numbers into a single number
mathematics, a pairing function is a process to uniquely encode two natural numbers into a single natural number. Any pairing function can be used in set
Pairing_function
process. This function can be contrasted with the nearest neighbour function, which is defined in relation to some point in the point process as being the
Spherical contact distribution function
Spherical_contact_distribution_function
Limiting a position to an area
In computer science, clamping, or clipping is the process of limiting a value to a range between a minimum and a maximum value. Unlike wrapping, Clamping
Clamp_(function)
Control loop feedback mechanism
relay method. The transfer function for a first-order process with dead time is y(s)=kpe−θsτps+1u(s), where kp is the process gain, τp is the time constant
PID_controller
Use of functions that call themselves
language that works with symbols by processing them step by step. In LISP, recursion could be used in functions using simple rules, and there was also
Recursion_(computer_science)
Stochastic process in probability theory
stochastic process assigns a random variable Xt to each point t ≥ 0 in time. In effect it is a random function of t. The increments of such a process are the
Lévy_process
Type of activation function
linear unit) activation function is an activation function defined as the non-negative part of its argument, i.e., the ramp function: ReLU(x)=x+=max(0,x)=x+|x|2={xif x>0
Rectified_linear_unit
The relationships between stochastic processes derived from the Brownian motion and the Riemann zeta function show in a sense intuitively the stochastic
Brownian motion and Riemann zeta function
Brownian_motion_and_Riemann_zeta_function
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