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Type of computational problem
In computational complexity theory, a function problem is a computational problem where a single output is expected for every input, but the output is
Function_problem
Concept in theoretical computer science
the functions Σ(n) and S(n) eventually become larger than any computable function. This has implications in computability theory, the halting problem, and
Busy_beaver
Yes/no problem in computer science
function problem can be turned into a decision problem; the decision problem is just the graph of the associated function. (The graph of a function f
Decision_problem
theory, Tarski's exponential function problem asks whether the theory of the real numbers together with the exponential function is decidable. Alfred Tarski
Tarski's exponential function problem
Tarski's_exponential_function_problem
Mathematical function that can be computed by a program
computable functions. In computational complexity theory, the problem of computing the value of a function is known as a function problem, by contrast
Computable_function
Problem of finding the best feasible solution
countable set. A problem with continuous variables is known as a continuous optimization, in which an optimal value from a continuous function must be found
Optimization_problem
Problem in computer science
possible program–input pairs. The problem comes up often in discussions of computability since it demonstrates that some functions are mathematically definable
Halting_problem
Search problem in quantum mechanics
linear function problem, is a search problem that generalizes the Bernstein–Vazirani problem. In the Bernstein–Vazirani problem, the hidden function is implicitly
Hidden linear function problem
Hidden_linear_function_problem
Seven mathematical problems with a US$1 million prize for each solution
to each problem. The Clay Mathematics Institute officially designated the title Millennium Problem for the seven unsolved mathematical problems, the Birch
Millennium_Prize_Problems
Inherent difficulty of computational problems
are encoded as binary strings. A function problem is a computational problem where a single output (of a total function) is expected for every input, but
Computational complexity theory
Computational_complexity_theory
Topics referred to by the same term
Iamsu! & Problem "Function", song by Dana Kletter from Boneyard Beach 1995 Function (biology), the effect of an activity or process Function (engineering)
Function
Problem a computer might be able to solve
represented by their objective function and their constraints. In a function problem a single output (of a total function) is expected for every input,
Computational_problem
English expression, used as a response to thanks
No problem is an English expression, used as a response to thanks (among other functions). It is regarded by some as a less formal alternative to you're
No_problem
Study of mathematical algorithms for optimization problems
In the more general approach, an optimization problem consists of maximizing or minimizing a real function by systematically choosing input values from
Mathematical_optimization
Set of problems in computational complexity theory
complexity classes defined in terms of other types of problems (e.g. counting problems and function problems) and using other models of computation (e.g. probabilistic
Complexity_class
Theoretical problem in quantum physics
unsolved problem. Hugh Everett's many-worlds interpretation attempts to solve the problem by suggesting that there is only one wave function, the superposition
Measurement_problem
Method of solution to differential equations
where δ {\displaystyle \delta } is Dirac's delta function; the solution of the inhomogeneous problem L y = f {\displaystyle Ly=f} is the convolution,
Green's_function
polynomial? Connes embedding problem in Von Neumann algebra theory Crouzeix's conjecture: the matrix norm of a complex function f {\displaystyle f} applied
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Process of calculating the causal factors that produced a set of observations
data misfit function. Some authors have investigated the possibility of reformulating the inverse problem so as to make the objective function less chaotic
Inverse_problem
Principle in mathematical optimization
problems are optimization problems in which the objective function and the constraints are all linear. In the primal problem, the objective function is
Duality_(optimization)
Physics problem related to laws of motion and gravity
In physics, specifically classical mechanics, the three-body problem is to take the initial positions and velocities (or momenta) of three point masses
Three-body_problem
Process of achieving a goal by overcoming obstacles
design function of the objects, and problem solving suffers relative to control conditions in which the object's function is not demonstrated." Their research
Problem_solving
Family of solutions to related differential equations
Bessel functions are a class of special functions that commonly appear in problems involving wave motion, heat conduction, and other physical phenomena
Bessel_function
Mathematical relation assigning a probability event to a cost
with the event. An optimization problem seeks to minimize a loss function. An objective function is either a loss function or its opposite (in specific domains
Loss_function
Open problem on 3x+1 and x/2 functions
of the unaltered function f defined in the Statement of the problem section of this article). When the relation 3n + 1 of the function f is replaced by
Collatz_conjecture
Association of one output to each input
recursive function as input and tests whether 0 belongs to its domain of definition (see Halting problem). A multivariate function, multivariable function, or
Function_(mathematics)
Function used as a performance test problem for optimization algorithms
the Rosenbrock function is a non-convex function, introduced by Howard H. Rosenbrock in 1960, which is used as a performance test problem for optimization
Rosenbrock_function
Complexity class
the set of function problems that can be solved by a deterministic Turing machine in polynomial time (and for which the function problem also represents
FP_(complexity)
Conjecture on zeros of the zeta function
Unsolved problem in mathematics Do all non-trivial zeros of the Riemann zeta function have a real part equal to one half? More unsolved problems in mathematics
Riemann_hypothesis
Analytic function in mathematics
zeta function that many mathematicians consider the most important unsolved problem in pure mathematics. The values of the Riemann zeta function at even
Riemann_zeta_function
Set of all things that may be the input of a mathematical function
\mathbb {R} ^{n}} where a problem is posed, making it both an analysis-style domain and also the domain of the unknown function(s) sought. For example,
Domain_of_a_function
Shape containing unit line segments in all directions
the Kakeya problem" (PDF). Pacific Journal of Mathematics. 190: 111–154. doi:10.2140/pjm.1999.190.111. Stein, Elias (1976). "Maximal functions: Spherical
Kakeya_set
Mathematical description of quantum state
is reduced to a problem of lower dimensionality. The associated Laguerre polynomials appear in the hydrogenic wave function problem after factoring out
Wave_function
Complexity class
set of the counting problems associated with the decision problems in the set NP. More formally, #P is the class of function problems of the form "compute
♯P
Type of problem involving ODEs or PDEs
boundary value problems to be studied is the Dirichlet problem, of finding the harmonic functions (solutions to Laplace's equation); the solution was given
Boundary_value_problem
Sum of inverse squares of natural numbers
Given Magnitude", in which he defined his zeta function and proved its basic properties. The problem is named after the city of Basel, hometown of Euler
Basel_problem
Abstract machine used to study decision problems
entity capable of solving some problem, which for example may be a decision problem or a function problem. The problem does not have to be computable;
Oracle_machine
Function used in computer cryptography
Unsolved problem in computer science Do one-way functions exist? More unsolved problems in computer science In computer science, a one-way function is a function
One-way_function
Programming language implementation problem
science, the funarg problem (function argument problem) refers to the difficulty in implementing first-class functions (functions as first-class objects)
Funarg_problem
NP-hard problem in combinatorial optimization
problem has been shown to be NP-hard (more precisely, it is complete for the complexity class FPNP; see function problem), and the decision problem version
Travelling_salesman_problem
Machine learning model training problem
x_{t}} is a function of h t {\displaystyle h_{t}} , as some x t = G ( h t ) {\displaystyle x_{t}=G(h_{t})} . The vanishing gradient problem already presents
Vanishing_gradient_problem
Subfield of mathematical optimization
optimization that studies the problem of minimizing convex functions over convex sets (or, equivalently, maximizing concave functions over convex sets). Many
Convex_optimization
Method to solve optimization problems
in the polytope where this function has the largest (or smallest) value if such a point exists. Linear programs are problems that can be expressed in standard
Linear_programming
Problem in combinatorial optimization
The knapsack problem is the following problem in combinatorial optimization: Given a set of items, each with a weight and a value, determine which items
Knapsack_problem
Extension of the factorial function
number theory, and combinatorics. The gamma function can be seen as a solution to the interpolation problem of finding a smooth curve y = f ( x ) {\displaystyle
Gamma_function
Probability of shared birthdays
hash function, as well as calculating the approximate risk of a hash collision existing within the hashes of a given size of population. The problem is
Birthday_problem
Mathematical problem involving optimal stopping theory
known as the marriage problem, the sultan's dowry problem, the fussy suitor problem, the googol game, and the best choice problem. Its solution is also
Secretary_problem
Set of objects whose state must satisfy limits
number of constraints or limitations. CSPs represent the entities in a problem as a homogeneous collection of finite constraints over variables, which
Constraint satisfaction problem
Constraint_satisfaction_problem
Special mathematical function defined as sin(x)/x
except at the point x = 0, and illustrates the problem of thinking of the delta function as a function rather than as a distribution. A similar situation
Sinc_function
Numerical method for solving physical or engineering problems
formulation of a boundary value problem finally results in a system of algebraic equations. The method approximates the unknown function over the domain. The simple
Finite_element_method
Unsolved problem in computer science
Unsolved problem in computer science If the solution to a problem can be checked in polynomial time, must the problem be solvable in polynomial time? More
P_versus_NP_problem
follow from the well-known total function problem (Does a given machine halt for every input?), since the latter problem concerns only valid computations
Mortality (computability theory)
Mortality_(computability_theory)
Problem of solving a partial differential equation subject to prescribed boundary values
In mathematics, a Dirichlet problem asks for a function which solves a specified partial differential equation (PDE) in the interior of a given region
Dirichlet_problem
exponential function problem concerns the extension of this theory to another primitive operation, the exponential function. It is an open problem whether
Decidability of first-order theories of the real numbers
Decidability_of_first-order_theories_of_the_real_numbers
Differential calculus on function spaces
least/stationary action. Many important problems involve functions of several variables. Solutions of boundary value problems for the Laplace equation satisfy
Calculus_of_variations
the set of function problems that are solvable in polynomial time by a deterministic Turing machine with an oracle for some decision problem in NP. In
NP-easy
Problem in differential geometry
geometry, Bernstein's problem is as follows: if the graph of a function on Rn−1 is a minimal surface in Rn, does this imply that the function is linear? This
Bernstein's_problem
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
Type of computational problem
to the problem instance. Let c R ( x ) = | { y ∣ R ( x , y ) } | {\textstyle c_{R}(x)=\vert \{y\mid R(x,y)\}\vert \,} be the counting function. That is
Counting_problem_(complexity)
Mathematical concept
that is concerned with mathematical optimization problems involving more than one objective function to be optimized simultaneously. Multi-objective is
Multi-objective_optimization
23 mathematical problems stated in 1900
functions defining the group. 6. Mathematical treatment of the axioms of physics. 7. Irrationality and transcendence of certain numbers. 8. Problems of
Hilbert's_problems
Artificial neural network node function
activation function of a node is a function that calculates the output of the node based on its individual inputs and their weights. Nontrivial problems can
Activation_function
Complexity class used to classify decision problems
solutions for NP-complete problems, then NP = RP and PH ⊆ BPP. NP is a class of decision problems; the analogous class of function problems is FNP. The only known
NP_(complexity)
In mathematics, a quantitative measure of the shape of a set of points
Moments of a function in mathematics are certain quantitative measures related to the shape of the function's graph. For example, if the function represents
Moment_(mathematics)
Field of machine learning
are noisy, though this problem is mitigated to some extent by temporal difference methods. Using the so-called compatible function approximation method
Reinforcement_learning
Class of computational problems
Unbounded search operator Decision problem Optimization problem Counting problem (complexity) Function problem Search games Luca Trevisan (2010), Stanford
Search_problem
the perturbation function is any function which relates to primal and dual problems. The name comes from the fact that any such function defines a perturbation
Perturbation_function
Real function with secant line between points above the graph itself
number). Convex functions play an important role in many areas of mathematics. They are especially important in the study of optimization problems where they
Convex_function
Mathematical formula involving a given set of operations
the functions that have a closed form are called elementary functions. The closed-form problem arises when new ways are introduced for specifying mathematical
Closed-form_expression
Major unsolved problem in transcendental number theory
+ mnxn = 0. This would be a positive solution to Tarski's exponential function problem. A related conjecture called the uniform real Schanuel's conjecture
Schanuel's_conjecture
Function that is continuous everywhere but differentiable nowhere
mathematics, the Weierstrass function, named after its discoverer, Karl Weierstrass, is an example of a real-valued function that is continuous everywhere
Weierstrass_function
Probabilistic optimization technique and metaheuristic
a given function. Specifically, it is a metaheuristic to approximate global optimization in a large search space for an optimization problem. For large
Simulated_annealing
Function used as a performance test problem for optimization algorithms
In mathematical optimization, the Ackley function is a non-convex function used as a performance test problem for optimization algorithms. It was proposed
Ackley_function
Necessary condition for optimality associated with dynamic programming
written as a function of the state, is called the value function.[citation needed] Bellman showed that a dynamic optimization problem in discrete time
Bellman_equation
Function that is discontinuous at rationals and continuous at irrationals
Thomae's function is a real-valued function of a real variable that can be defined as: f ( x ) = { 1 q if x = p q ( x is rational), with p ∈ Z and
Thomae's_function
Complexity class
class of total function problems that can be solved in nondeterministic polynomial time. That is, it is the class of function problems that are guaranteed
TFNP
Computer software bug occurring in 2038
The year 2038 problem (also known as Y2038, Y2K38, Y2K38 superbug, or the Epochalypse) is a time computing problem that leaves some computer systems unable
Year_2038_problem
Problem-solving procedures with certain characteristics
for solving a problem from a specific class. An effective method is sometimes also called a mechanical method or procedure. Functions for which an effective
Effective_method
Process by which a quantum system takes on a definitive state
interpretations of quantum mechanics, wave function collapse, also called reduction of the state vector, occurs when a wave function—initially in a superposition of
Wave_function_collapse
hash functions can be divided into two main categories. In the first category are those functions whose designs are based on mathematical problems, and
Security of cryptographic hash functions
Security_of_cryptographic_hash_functions
Summatory function of the divisor-counting function
zeta function. The various studies of the behaviour of the divisor function are sometimes called divisor problems. The divisor summatory function is defined
Divisor_summatory_function
Mathematical function
basis functions for constructive approximation and in linear inverse problems, and as apodization tapers or window functions in quadratic problems of spectral
Slepian_function
Method for estimating new data within known data points
of that function for an intermediate value of the independent variable. A closely related problem is the approximation of a complicated function by a simple
Interpolation
Hyperbolic analogues of trigonometric functions
In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just
Hyperbolic_functions
Philosophical concept
is the performance of these functions accompanied by experience?" To bolster their case, proponents of the hard problem frequently turn to various philosophical
Hard_problem_of_consciousness
Quantum algorithm
computing software development framework by IBM. Hidden Linear Function problem Simon's problem Ethan Bernstein and Umesh Vazirani (1997). "Quantum Complexity
Bernstein–Vazirani_algorithm
computational complexity theory, the complexity class FL is the set of function problems that can be solved by a deterministic Turing machine in a logarithmic
FL_(complexity)
Group theory function
complexity of the word problem in groups. In particular, a finitely presented group has solvable word problem if and only if the Dehn function for a finite presentation
Dehn_function
One-way cryptographic tool
not a sturdy trapdoor function – modern computers can guess all of the possible answers within a second – but this sample problem could be improved by
Trapdoor_function
Formal power series
generating function, if any, that is most useful in a given context will depend upon the nature of the sequence and the details of the problem being addressed
Generating_function
Type of algorithm for constrained optimization
original constrained problem. The unconstrained problems are formed by adding a term, called a penalty function, to the objective function that consists of
Penalty_method
Sigmoid shape special function
mathematics, the error function (also called the Gauss error function), often denoted by e r f {\displaystyle \mathbf {erf} } , is the function erf ( z ) = 2
Error_function
Mathematical function
\sin } . The Jacobi elliptic functions are used more often in practical problems than the Weierstrass elliptic functions as they do not require notions
Jacobi_elliptic_functions
Functions of an angle
mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of
Trigonometric_functions
Degree of differentiability of a function or map
smooth function refers to a C ∞ {\displaystyle C^{\infty }} -function. However, it may also mean "sufficiently differentiable" for the problem under consideration
Smoothness
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
Quickly growing function
Ackermann function, named after Wilhelm Ackermann, is one of the simplest and earliest-discovered examples of a total computable function that is not
Ackermann_function
Functions used to evaluate optimization algorithms
of problems. In the first part, some objective functions for single-objective optimization cases are presented. In the second part, test functions with
Test functions for optimization
Test_functions_for_optimization
Yes-or-no question that cannot ever be solved by a computer
computable function that correctly answers every question in the problem set. The connection between these two is that if a decision problem is undecidable
Undecidable_problem
Whether a decision problem has an effective method to derive the answer
fields, established by Tarski in 1949 (see also Tarski's exponential function problem). The first-order theory of Euclidean geometry, established by Tarski
Decidability_(logic)
FUNCTION PROBLEM
FUNCTION PROBLEM
Boy/Male
French Greek
Cyrano de Bergerac was a seventeenth-century soldier and science-fiction writer.
Girl/Female
Bengali, Indian
Fraction of Time
Girl/Female
Indian, Telugu
Destroyer of Problems
Biblical
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Girl/Female
Muslim/Islamic
Away from all Problems
Surname or Lastname
English
English : nickname from the animal, Middle English catte ‘cat’. The word is found in similar forms in most European languages from very early times (e.g. Gaelic cath, Slavic kotu). Domestic cats were unknown in Europe in classical times, when weasels fulfilled many of their functions, for example in hunting rodents. They seem to have come from Egypt, where they were regarded as sacred animals.English : from a medieval female personal name, a short form of Catherine.Variant spelling of German and Dutch Katt.
Boy/Male
Indian, Tamil
People with this Name are Preferably Intelligent and Very Generous; Highly Knowledgeable in Problem Solving Skills
Surname or Lastname
English
English : topographic name for someone who lived by the gates of a medieval walled town. The Middle English singular gate is from the Old English plural, gatu, of geat ‘gate’ (see Yates). Since medieval gates were normally arranged in pairs, fastened in the center, the Old English plural came to function as a singular, and a new Middle English plural ending in -s was formed. In some cases the name may refer specifically to the Sussex place Eastergate (i.e. ‘eastern gate’), known also as Gates in the 13th and 14th centuries, when surnames were being acquired.Americanized spelling of German Götz (see Goetz).Translated form of French Barrière (see Barriere).In New England, Gates was the preferred English version of the name of an extensive French family, called Barrière dit Langevin.
Boy/Male
Hindu, Indian
Problem
Boy/Male
Buddhist, Indian, Japanese
Mysterious Function
Surname or Lastname
South German
South German : occupational name for an official in charge of the legal auction of property confiscated in default of a fine; such a sale was known in Middle High German as a gant (from Italian incanto, a derivative of Late Latin inquantare ‘to auction’, from the phrase In quantum? ‘To how much (is the price raised)?’).German : metonymic occupational name for a cooper, from Middle High German ganter, kanter ‘barrel rack’.German : variant of Gander 3.English : occupational name for a glover, from Old French gantier, an agent derivative of gant ‘glove’ (see Gant).
Boy/Male
Muslim
Problem solver
Surname or Lastname
English
English : topographic name for someone who lived by a watercourse or road junction, Old English gelǣt, or a habitational name from Leat in Devon, or The Leete in Essex, named with this element.
Boy/Male
Indian
Friction
Girl/Female
Bengali, Indian
Eternity; Problem Solver
Girl/Female
Afghan, Arabic, Australian, Indian, Muslim
Fiction; Romance; Story
Boy/Male
Arabic, Indian, Muslim
Problem Solver
Girl/Female
Indian
It’s derived from the root word - anksh that means a fraction. Ankshika means the fraction of the cosmos
Girl/Female
Hindu, Indian
Fraction of the Cosmos
Girl/Female
Tamil
Ankshika | அஂகà¯à®·à¯€à®•à®¾
It’s derived from the root word - anksh that means a fraction. Ankshika means the fraction of the cosmos
FUNCTION PROBLEM
FUNCTION PROBLEM
Girl/Female
German, Greek, Swedish
Pure; Torture
Girl/Female
Arabic
Noble; Magnanimous
Girl/Female
Hindu
Born in the month of Shravan, Series
Surname or Lastname
English
English : occupational name from Middle English greyve ‘steward’, from Old Norse greifi or Low German grēve (see Graf).English : topographic name, a variant of Grove.French : topographic name for someone who lived on a patch of gravelly soil, from Old French grave ‘gravel’ (of Celtic origin).North German : either from the northern form of Graf, but more commonly a topographic name from Middle Low German grave ‘ditch’, ‘moat’, ‘channel’, or a habitational name from any of several places in northern Germany named with this word.
Boy/Male
Indian
Protractor, One who worships God
Female
English
Danish form of Greek Aikaterine, KAREN means "pure." This name was brought to America by Scandinavian settlers.
Boy/Male
Hindu, Indian, Punjabi, Sikh
Fosterer of Love
Boy/Male
Irish American Biblical Hebrew
Surname.
Surname or Lastname
English
English : perhaps a nickname for a shy or short-sighted person, from Old English wand ‘mole’. Compare Want.German : occupational name for a weaver or cloth cutter, from a reduced form of Middle High German gewant ‘cloth’, ‘garment’. Compare Wander 2.German : topographic name from Middle High German want ‘wall’, ‘steep rock’, ‘precipice’.Dutch : metonymic occupational name for a glove maker, from Middle Dutch wante ‘glove’.
Girl/Female
American, British, English
Ruler
FUNCTION PROBLEM
FUNCTION PROBLEM
FUNCTION PROBLEM
FUNCTION PROBLEM
FUNCTION PROBLEM
v. t.
To supply with an organ or organs having a special function or functions.
n.
The act of feigning, inventing, or imagining; as, by a mere fiction of the mind.
n.
The things sold by auction or put up to auction.
v. t.
To sell by auction.
n.
The office, duties, or functions of a minister, servant, or agent; ecclesiastical, executive, or ambassadorial function or profession.
n.
The course of action which peculiarly pertains to any public officer in church or state; the activity appropriate to any business or profession.
v. t.
The act of uniting, or the state of being united; junction.
n.
A derived function; a function obtained from a given function by a certain algebraic process.
a.
Pertaining to, or connected with, a function or duty; official.
n.
The place or point of union, meeting, or junction; specifically, the place where two or more lines of railway meet or cross.
n.
The natural or assigned action of any power or faculty, as of the soul, or of the intellect; the exertion of an energy of some determinate kind.
v. t.
To separate by means of, or to subject to, fractional distillation or crystallization; to fractionate; -- frequently used with out; as, to fraction out a certain grade of oil from pretroleum.
n.
A quantity so connected with another quantity, that if any alteration be made in the latter there will be a consequent alteration in the former. Each quantity is said to be a function of the other. Thus, the circumference of a circle is a function of the diameter. If x be a symbol to which different numerical values can be assigned, such expressions as x2, 3x, Log. x, and Sin. x, are all functions of x.
n.
The appropriate action of any special organ or part of an animal or vegetable organism; as, the function of the heart or the limbs; the function of leaves, sap, roots, etc.; life is the sum of the functions of the various organs and parts of the body.
v. i.
Alt. of Functionate
a.
Pertaining to the function of an organ or part, or to the functions in general.
n.
The act of anointing, smearing, or rubbing with an unguent, oil, or ointment, especially for medical purposes, or as a symbol of consecration; as, mercurial unction.
n.
The act of anointing, or the state of being anointed; unction; specifically (Med.), the rubbing of ointments into the pores of the skin, by which medicinal agents contained in them, such as mercury, iodide of potash, etc., are absorbed.
v. t.
To give sanction to; to ratify; to confirm; to approve.
n.
The act of joining, or the state of being joined; union; combination; coalition; as, the junction of two armies or detachments; the junction of paths.