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Topics referred to by the same term
Forcing function can mean: In differential calculus, a function that appears in the equations and is only a function of time, and not of any of the other
Forcing_function
Function that only depends on time
the homogeneous solutions and the forcing term. For example, f ( t ) {\displaystyle f(t)} is the forcing function in the nonhomogeneous, second-order
Forcing function (differential equations)
Forcing_function_(differential_equations)
Process that helps an equipment operator avoid mistakes
"mistake-proofing" or "error prevention", and is also sometimes referred to as a forcing function or a behavior-shaping constraint. The concept was formalized, and the
Poka-yoke
Characteristic time in a system
a function of time t V = V ( t ) . {\displaystyle V=V(t).} The right-hand side is the forcing function f(t) describing an external driving function of
Time_constant
Mathematical simplification technique in physical sciences
_{k=0}^{n}a_{k}{\big (}{\frac {d}{dt}}{\big )}^{k}x(t)=Af(t).} The function f(t) is known as the forcing function. If the differential equation only contains real (not
Nondimensionalization
Technique for proving independence results
In set theory, forcing is a technique for proving consistency and independence results. Intuitively, forcing can be thought of as a technique to expand
Forcing_(mathematics)
Function specifying the behavior of a component in an electronic or control system
equation can be used to constrain the output function u in terms of the forcing function r. The transfer function can be used to define an operator F [ r ]
Transfer_function
Concept for changes to the energy flows through a planetary atmosphere
Radiative forcing (or climate forcing) is a concept used to quantify a change to the balance of energy flowing through a planetary atmosphere. Various
Radiative_forcing
α-directed-closed forcing, in which case f(α) is used as the stage α forcing. These posets will collapse various cardinals, in other words force them to be equal
List_of_forcing_notions
Mechanical oscillations about an equilibrium point
incoming vibration. Vibration testing is accomplished by introducing a forcing function into a structure, usually with some type of shaker. Alternately, a
Vibration
Mechanical force towards or away from a point
\mathbf {F} } is a force vector, F {\displaystyle F} is a scalar valued force function (whose absolute value gives the magnitude of the force and is positive
Central_force
Physical system that responds to a restoring force proportional to displacement
[citation needed] This is done through nondimensionalization. If the forcing function is f(t) = cos(ωt) = cos(ωtcτ) = cos(ωτ), where ω = ωtc, the equation
Harmonic_oscillator
Mathematical function such that every output has at least one input
surjective function (also known as surjection, or onto function /ˈɒn.tuː/) is a function f such that, for every element y of the function's codomain, there
Surjective_function
Function computable with bounded loops
In computability theory, a primitive recursive function is, roughly speaking, a function that can be computed by a computer program whose loops are all
Primitive_recursive_function
Function that preserves distinctness
In mathematics, an injective function (also known as injection, or one-to-one function) is a function f that maps distinct elements of its domain to distinct
Injective_function
Set of all things that may be the input of a mathematical function
In mathematics, the domain of a function is the set of inputs accepted by the function. It is sometimes denoted by dom ( f ) {\displaystyle \operatorname
Domain_of_a_function
known at the transmitter, the zero-forcing precoder is given by the pseudo-inverse of the channel matrix. Zero-forcing has been used in LTE mobile networks
Zero-forcing_precoding
Measure of the likelihood of spinal damage from a vertical shock load
constant coefficients with spinal compression as the variable. The forcing function in the equation is the accelerative shock load delivered to the pelvis
Dynamic_response_index
The zero-forcing equalizer removes all ISI, and is ideal when the channel is noiseless. However, when the channel is noisy, the zero-forcing equalizer
Zero-forcing_equalizer
Generalized function whose value is zero everywhere except at zero
Dirac delta function (or δ {\displaystyle {\boldsymbol {\delta }}} distribution), also known as the unit impulse, is a generalized function on the real
Dirac_delta_function
Mathematical description of quantum state
In quantum mechanics, a wave function (or wavefunction) is a mathematical description of the quantum state of an isolated quantum system. The most common
Wave_function
Password cracking dataset
is a precomputed table for caching the outputs of a cryptographic hash function, usually for cracking password hashes. Passwords are typically stored not
Rainbow_table
Air service branch of the U.S. military
options. The sub-elements of this function are: Assure/Dissuade/Deter is a mission set derived from the Air Force's readiness to carry out the nuclear
United_States_Air_Force
Form of problem solving, often applied to repair failed products or processes
inserted backward or upside down due to the lack of an appropriate forcing function (behavior-shaping constraint), or a lack of error-tolerant design.
Troubleshooting
Key derivation function
Derivation Function 1 and 2) are key derivation functions with a sliding computational cost, used to reduce vulnerability to brute-force attacks. PBKDF2
PBKDF2
Type of cryptographic algorithm
as when brute-forcing password hashes or mining cryptocurrency. Bitcoin's proof-of-work uses repeated evaluation of the SHA-256 function, but modern general-purpose
Memory-hard_function
Hash function that is suitable for use in cryptography
A cryptographic hash function (CHF) is a hash algorithm (a map of an arbitrary binary string to a binary string with a fixed size of n {\displaystyle n}
Cryptographic_hash_function
Input to a mathematical function
of a function is a value provided to obtain the function's result. It is also called an independent variable. For example, the binary function f ( x
Argument_of_a_function
Collection of mathematical objects
symbols, points in space, lines, other geometric shapes, variables, functions, or even other sets. Sets cannot be mathematically defined, since they
Set_(mathematics)
Mathematical function in set theory
application of Laver functions was the following theorem of Laver. If κ is supercompact, there is a κ-c.c. forcing notion (P, ≤) such after forcing with (P, ≤)
Laver_function
Branch of mathematics that studies sets
of forcing while searching for a model of ZFC in which the continuum hypothesis fails, or a model of ZF in which the axiom of choice fails. Forcing adjoins
Set_theory
Forward observation force operating in Burma during World War II
Staff Intelligence that operated in Burma during World War II. Z Force's function was to obtain information for the commander of the British Fourteenth Army
Z_Force_(Burma)
spatial discretization, interpolation, process representation, and forcing function generation. The HBV model can also simulate the riverine transport
HBV_hydrology_model
Type of energy
In solid-state physics, the work function (sometimes spelled workfunction) is the minimum thermodynamic work (i.e., energy) needed to remove an electron
Work_function
Behavior of structures subjected to time-varying loading
For real systems there is often mass participating in the forcing function (such as the mass of ground in an earthquake) and mass participating
Structural_dynamics
Thesis on the nature of computability
Church–Turing thesis is a thesis about the nature of computable functions. It states that a function on the natural numbers can be calculated by an effective
Church–Turing_thesis
Air and space warfare force of the United Kingdom
The Royal Air Force (RAF) is the air and space force of the United Kingdom, British Overseas Territories and Crown Dependencies. It was formed towards
Royal_Air_Force
{\displaystyle \lambda } , forcing with P preserves stationary subsets of [ λ ] ω {\displaystyle [\lambda ]^{\omega }} . The proper forcing axiom asserts that
Proper_forcing_axiom
Standard system of axiomatic set theory
Since forcing preserves choice, we cannot directly produce a model contradicting choice from a model satisfying choice. However, we can use forcing to create
Zermelo–Fraenkel_set_theory
American cluster bomb
frees the fin release band, and the movable fins snap open by spring-force. Functioning of the fuze initiates the linear shaped charges in the dispenser which
CBU-100_Cluster_Bomb
Graphical programming language
macroaction is "forcing", in which a POU can decide the active steps of another POU. DRAKON-chart UML activity diagram Continuous Function Chart Fernandez
Sequential_function_chart
Function that derives secret keys from a secret value
In cryptography, a key derivation function (KDF) is an algorithm that derives one or more secret keys from a secret value, such as a master key, a password
Key_derivation_function
3-volume treatise on mathematics, 1910–1913
[logical-] function, and, if φx ≡ ψx, the substitution of φx for p in a [logical-] function gives the same truth-value to the truth-function as the substitution
Principia_Mathematica
Smooth approximation of one-hot arg max
The softmax function, also known as softargmax or normalized exponential function, converts a tuple of K real numbers into a probability distribution
Softmax_function
Mathematical-logic system
as λ-calculus) is a formal system for expressing computation based on function abstraction and application using variable binding and substitution. Untyped
Lambda_calculus
One-to-one correspondence
In mathematics, a bijection, bijective function, or one-to-one correspondence is a function between two sets such that each element of the second set (the
Bijection
Dimensionless number characterising the behavior of particles suspended in a fluid flow
possible when the forcing function v f ( t ) = V u − Δ V H ( t ) {\displaystyle v_{f}(t)=V_{u}-\Delta VH(t)} is a Heaviside step function; representing particles
Stokes_number
Cyber arm of the People's Liberation Army
Support Force (PLASSF). The Cyberspace Force received the functions of the former PLASSF's Network Systems Department. The Cyberspace Force was established
People's Liberation Army Cyberspace Force
People's_Liberation_Army_Cyberspace_Force
Placeholder variables in programming
documentation. They have been used to name entities such as variables, functions, and commands whose exact identity is unimportant and serve only to demonstrate
Foobar
Branch of applied mechanics dealing with rotating structures
generalized coordinates of the rotor in inertial coordinates; f(t) is a forcing function, usually including the unbalance. The gyroscopic matrix G is proportional
Rotordynamics
Special function in the physical sciences
mathematics, the Airy function (or Airy function of the first kind) A i ( x ) {\displaystyle \mathbf {Ai({\boldsymbol {x}})} } is a special function named after
Airy_function
Mathematical set containing no elements
exists precisely one function f {\displaystyle f} from ∅ {\displaystyle \varnothing } to A , {\displaystyle A,} the empty function. As a result, the empty
Empty_set
Internal security of Argentina'a armed forces
gendarmerie is primarily a frontier guard force but also fulfils other important roles. The force functions from what are today five regional headquarters
Argentine National Gendarmerie
Argentine_National_Gendarmerie
Mathematical transform that expresses a function of time as a function of frequency
takes a function as input and outputs another function that describes the extent to which various frequencies are present in the original function. The output
Fourier_transform
Size of a possibly infinite set
A . {\displaystyle \#A.} Cardinality is defined in terms of bijective functions. Two sets have the same cardinality if, and only if, there is a one-to-one
Cardinal_number
Space service branch of the U.S. military
space. The Department of Defense further defines the specified functions of the Space Force to: Provide freedom of operation for the United States in, from
United_States_Space_Force
Mathematical set formed from two given sets
as simply ×Xi. If f is a function from X to A and g is a function from Y to B, then their Cartesian product f × g is a function from X × Y to A × B with
Cartesian_product
Infinite cardinal number
defined either as an extreme limit of the real number line (applied to a function or sequence that "diverges to infinity" or "increases without bound"),
Aleph_number
Subset of a function's codomain
the range of a function may refer to either of two closely related concepts: the codomain of the function, or the image of the function. In some cases
Range_of_a_function
Method using forcing to construct sets with desired properties in computability theory
Forcing in computability theory is a modification of Paul Cohen's original set-theoretic technique of forcing to deal with computability concerns. Conceptually
Forcing_(computability)
Number of arguments required by a function
science, arity (/ˈærɪti/ ) is the number of arguments or operands taken by a function, operation or relation. In mathematics, arity may also be called rank,
Arity
Paradox in set theory
the function F(fx) could be its own argument: in that case there would be a proposition F(F(fx)), in which the outer function F and the inner function F
Russell's_paradox
2007/06/04: 4530 : Rainfall forcing function added: Dr. Ole Nielsen, Rudy van Drie 2008/03/28: 5178 : Rainfall forcing to polygons : Dr. Ole Nielsen
ANUGA_Hydro
Password-based key derivation function
bcrypt is an adaptive function: over time, the iteration count can be increased to make it slower, so it remains resistant to brute-force search attacks even
Bcrypt
Mathematical function that can be computed by a program
Computable functions are the basic objects of study in computability theory. Informally, a function is computable if there is an algorithm that computes
Computable_function
Function with variable number of arguments
variadic function is a function of indefinite arity, i.e., one which accepts a variable number of arguments. Support for variadic functions differs widely
Variadic_function
Computer communications authentication algorithm
type of message authentication code (MAC) involving a cryptographic hash function and a secret cryptographic key. As with any MAC, it may be used to simultaneously
HMAC
Combined military forces of the U.S.
the theater for the joint force Integrate national, multinational, and joint power on land The thirteen specified functions of the Army are: Conduct prompt
United_States_Armed_Forces
Structure of the U.S. Space Force
Secretary of the Air Force. It is responsible for developing doctrine, guidance, and plans in performing the Space Force's functions, cooperating with the
Structure of the United States Space Force
Structure_of_the_United_States_Space_Force
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
Mathematical notion of recurrence with unpredictable period
locked by external forcing. However, when the system contains the potential for an oscillation, but there is no strong external forcing to be phase-locked
Quasiperiodicity
Concept on molecular modeling
atomistic level. Force fields are usually used in molecular dynamics or Monte Carlo simulations. The parameters for a chosen energy function may be derived
Force_field_(chemistry)
Non-local formulation of continuum mechanics
{u}}({\bf {x}}'),{\bf {u}}({\bf {x}}),t)} . This force is commonly known as the pairwise force function or peridynamic kernel, and it encompasses all the
Peridynamics
Cryptographic hash function
BLAKE is a cryptographic hash function based on Daniel J. Bernstein's ChaCha stream cipher, but a permuted copy of the input block, XORed with round constants
BLAKE_(hash_function)
Noncontact variant of atomic force microscopy
atomic force microscopy (AFM). By raster scanning in the x,y plane the work function of the sample can be locally mapped for correlation with sample features
Kelvin_probe_force_microscope
Problem in computer science
often in discussions of computability since it demonstrates that some functions are mathematically definable but not computable. A key part of the formal
Halting_problem
Family of cryptographic hash functions
The Secure Hash Algorithms are a family of cryptographic hash functions published by the National Institute of Standards and Technology (NIST) as a U
Secure_Hash_Algorithms
Scale to rate how well one is meeting various problems in living
The Global Assessment of Functioning (GAF) is a numeric scale used by mental health clinicians and physicians to rate subjectively the social, occupational
Global Assessment of Functioning
Global_Assessment_of_Functioning
Axiom of set theory
a choice function. Even if infinitely many sets are collected from the natural numbers, it will always be possible to form a choice function from choosing
Axiom_of_choice
Scientific study of the Earth's spheres and their natural integrated systems
that abrupt change can result when relatively small changes in a 'forcing function' push the System across a 'threshold'. For millennia, humans have speculated
Earth_system_science
Interactions between groups of atoms that do not arise from chemical bonds
distance is greater than 1.0 nm the force is not strong enough to be easily observed as it decreases as a function of distance r approximately with the
Van_der_Waals_force
2015 password-based key derivation function
2.0. The Argon2 function uses a large, fixed-size memory region (often called the 'memory array' in documentation) to make brute-force attacks computationally
Argon2
CH cannot be disproven in ZFC; Paul Cohen later invented the method of forcing to exhibit a model of ZFC in which CH fails, showing that CH cannot be
List of statements independent of ZFC
List_of_statements_independent_of_ZFC
Military unit
the Trans-Mississippi Theater during the American Civil War. This force functioned exclusively in the state of Arkansas. The Army of Arkansas was created
Army_of_Arkansas
Property of a dynamical system where solutions near an equilibrium point remain so
be viewed as a control, external input, stimulus, disturbance, or forcing function. It has been shown that near to a point of equilibrium which is Lyapunov
Lyapunov_stability
Function used in Lagrangian mechanics
In physics, the Rayleigh dissipation function, named after Lord Rayleigh, is a function used to handle the effects of velocity-proportional frictional
Rayleigh_dissipation_function
Mathematical function with no sudden changes
In mathematics, a continuous function is a function such that a small variation of its argument induces at most a small variation of its value. This implies
Continuous_function
Proposition in mathematical logic
overall independence proof. To prove his result, he developed the method of forcing, which has become a standard tool in set theory. Essentially, this method
Continuum_hypothesis
Cryptographic hash function
Lane is a cryptographic hash function submitted to the NIST hash function competition; it was designed by Sebastiaan Indesteege with contributions by Elena
Lane_(hash_function)
Experiment used to study computer simulation
underlying model, initial conditions and forcing functions. It is natural to see the simulation as a deterministic function that maps these inputs into a collection
Computer_experiment
Numerical method in computational electromagnetics
denotes the known forcing function and f denotes the unknown function. f can be approximated by a finite number of basis functions ( f n {\displaystyle
Method of moments (electromagnetics)
Method_of_moments_(electromagnetics)
Impossible task in computing
that the intuitive notion of "effectively calculable" is captured by the functions computable by a Turing machine (or equivalently, by those expressible
Entscheidungsproblem
Function returning one of only two values
switching function, used especially in older computer science literature, and truth function (or logical function), used in logic. Boolean functions are the
Boolean_function
Family of higher-order functions
'prime') function in the Data.List library (one needs to be aware of the fact though that forcing a value built with a lazy data constructor won't force its
Fold_(higher-order_function)
US Department of Defense policy
service functions in greater detail and distinguished between primary and collateral functions as illustrated by the following list of Air Force functions: Gain/maintain
Key_West_Agreement
Multi-role combat aircraft family by Dassault
holographic head-up display (HUD) system, two head-down flat-panel colour multi-function displays (MFDs) as well as a central collimated display. These displays
Dassault_Rafale
Cryptographic hash function
ShangMi 3 (SM3) is a cryptographic hash function, standardised for use in commercial cryptography in China. It was published by the State Cryptography
SM3_(hash_function)
Target set of a mathematical function
mathematics, a codomain or set of destination of a function is a set into which all of the outputs of the function are constrained to fall. It is the set Y in
Codomain
Axioms for the natural numbers
non-logical symbols for the axioms consist of a constant symbol 0 and a unary function symbol S. The first axiom states that the constant 0 is a natural number:
Peano_axioms
the United States Air Force. The purpose of an aerial port squadron is to arrange and carry out Air Force logistical functions such as processing cargo
List of United States Air Force aerial port squadrons
List_of_United_States_Air_Force_aerial_port_squadrons
travel, tourism, insurance
FORCING FUNCTION
FORCING FUNCTION
FORCING FUNCTION
FORCING FUNCTION
FORCING FUNCTION
FORCING FUNCTION
FORCING FUNCTION
FORCING FUNCTION
FORCING FUNCTION
travel, tourism, insurance