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Function that takes two inputs
a binary function (also called bivariate function, or function of two variables) is a function that takes two inputs. Precisely stated, a function f is
Binary_function
Mathematical operation with two operands
In mathematics, a binary operation or dyadic operation is a kind of binary function, i.e. given a pair of input values (called operands), it produces
Binary_operation
Astronomic function
In astronomy, the binary mass function or simply mass function is a function that constrains the mass of the unseen component (typically a star or exoplanet)
Binary_mass_function
Entropy of a process with only two probable values
In information theory, the binary entropy function, denoted H ( p ) {\displaystyle \operatorname {H} (p)} or H b ( p ) {\displaystyle \operatorname
Binary_entropy_function
Exponent of a power of two
2 and is the inverse function of the power of two function. There are several alternatives to the log2 notation for the binary logarithm; see the Notation
Binary_logarithm
Search algorithm used in sorted arrays
In computer science, binary search, also known as half-interval search, logarithmic search, or binary chop, is a search algorithm that finds the position
Binary_search
Number of arguments required by a function
{\displaystyle f(x)=2x} A binary function takes two arguments. Example: f ( x , y ) = 2 x y {\displaystyle f(x,y)=2xy} A ternary function takes three arguments
Arity
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
Interface to software defined in terms of in-process, machine code access
An application binary interface (ABI) is an interface exposed by software that is defined for in-process machine code access. Often, the exposing software
Application_binary_interface
Operation on mathematical functions
(y,z)\in S)\}} . Considering a function as a special case of a binary relation (namely functional relations), function composition satisfies the definition
Function_composition
C++ standard library header for functional programming utilities
case. A unary function whose return type is bool is called a predicate, and a binary function whose return type is bool is called a binary predicate. In
Functional_(C++)
Topics referred to by the same term
each digit Binary function, a function that takes two arguments Binary operation, a mathematical operation that takes two arguments Binary relation, a
Binary
Limited form of tree data structure
In computer science, a binary tree is a tree data structure in which each node has at most two children, referred to as the left child and the right child
Binary_tree
Continuous function that is not absolutely continuous
fraction expansion to a binary expansion, just as the Cantor function can be constructed by passing from a ternary expansion to a binary expansion. The question
Cantor_function
Data structure for Boolean functions
computer science, a binary decision diagram (BDD) or branching program is a data structure that is used to represent a Boolean function. On a more abstract
Binary_decision_diagram
Repeated application of an operation to a sequence
In mathematics, an iterated binary operation is an extension of a binary operation on a set S to a function on finite sequences of elements of S through
Iterated_binary_operation
Symbols requiring interpretation
For example a signature could consist of a binary function symbol +, a constant symbol 0, and a binary relation symbol <. Structures over a signature
Non-logical_symbol
Representation of binary data as text
A binary-to-text encoding is a data encoding scheme that represents binary data as plain text. Generally, the binary data consists of a sequence of arbitrary
Binary-to-text_encoding
True when either but not both inputs are true
yes Distributivity: The exclusive or does not distribute over any binary function (not even itself), but logical conjunction distributes over exclusive
Exclusive_or
Family of higher-order functions
by the combining function. If it is the second argument that must be of the same type as the result, then f could be seen as a binary operation that associates
Fold_(higher-order_function)
Components of a mathematical or logical formula
(x+1)*(x+1)} is a term built from the constant 1, the variable x, and the binary function symbols + {\displaystyle +} and ∗ {\displaystyle *} ; it is
Term_(logic)
Mapping of mathematical formulas to a particular meaning
elements A {\displaystyle A} together with two binary functions, that can be enhanced with a unary function, and two distinguished elements; but there is
Structure (mathematical logic)
Structure_(mathematical_logic)
Type of logical system
groups has one constant symbol 0, one unary function symbol −, one binary function symbol +, and one binary relation symbol ≤. Then: The expressions +(x
First-order_logic
Function in logic
functions possess properties which may be expressed in the theorems containing the corresponding connective. Some of those properties that a binary truth
Truth_function
Combinational logic circuit
are forced to their inactive states. Depending on its function, a binary decoder will convert binary information from n input signals to as many as 2n unique
Binary_decoder
Evaluation of a function on its argument
to the theory as a binary function symbol ∙(∙) if desired without any loss of expressiveness by defining: X(Y)={zif X is a function, and (Y,z)∈X∅otherwise
Function_application
Statistical model for a binary dependent variable
to make a binary classifier. Analogous linear models for binary variables with a different sigmoid function instead of the logistic function (to convert
Logistic_regression
System of arithmetic in proof theory
complexity classes have similar properties to EFA: One can omit the binary function symbol exp from the language, by taking Robinson arithmetic together
Elementary function arithmetic
Elementary_function_arithmetic
Notion in supervised machine learning
be extended to classes of binary functions. It is defined as the cardinality of the largest set of points that the function class can shatter—that is
Vapnik–Chervonenkis_dimension
Association of one output to each input
above definition may be formalized as follows. A function with domain X and codomain Y is a binary relation R between X and Y that satisfies the two
Function_(mathematics)
Mathematical operation with only one operand
binary operations, which use two operands. An example is any function f : A → A {\displaystyle f:A\rightarrow A} , where A is a set; the function
Unary_operation
Theories in mathematical logic
signature of equivalence relations has one binary infix relation symbol ~, no constants, and no functions. Equivalence relations satisfy the axioms: Reflexive
List_of_first-order_theories
Algorithm for supervised learning of binary classifiers
perceptron is an algorithm for supervised learning of binary classifiers. A binary classifier is a function that can decide whether or not an input, represented
Perceptron
Topics referred to by the same term
Connacht Binary function, or law of composition Function composition, an operation on mathematical functions that yields a single function Composition
Composition
System of two stars orbiting each other
A binary star or binary star system is a system of two stars that are gravitationally bound to and in orbit around each other. Binary stars are among
Binary_star
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 that takes one argument
particular power or base, and hyperbolic functions. Arity Binary function Binary operation Iterated binary operation Ternary operation Unary operation
Unary_function
Variant of heap data structure
binary heap is a heap data structure that takes the form of a binary tree. Binary heaps are a common way of implementing priority queues. The binary heap
Binary_heap
Mathematical function on ordinals
[n]}\,.} To build the Veblen function of a finite number of arguments (finitary Veblen function), let the binary function φ ( α , γ ) {\displaystyle \varphi
Veblen_function
Formula that visually represents itself when graphed
plane. It is a well-known example of the relationship between mathematics, binary encoding, and graphical representation. The formula creates the self-referential
Tupper's self-referential formula
Tupper's_self-referential_formula
Combined executable file for multiple processor types or operating systems
A fat binary (or multiarchitecture binary) is a computer executable program or library which has been expanded (or "fattened") with code native to multiple
Fat_binary
Number of nonzero symbols in a string
to 1, or the digit sum of the binary representation of a given number and the ℓ₁ norm of a bit vector. In this binary case, it is also called the population
Hamming_weight
Algebraic structure in linear algebra
space over a field F is a non-empty set V together with a binary operation and a binary function that satisfy the eight axioms listed below. In this context
Vector_space
Artificial neural network node function
activation function is usually an abstraction representing the rate of action potential firing in the cell. In its simplest form, this function is binary—that
Activation_function
Function that measures dissimilarity between two probability distributions
information geometry, a divergence is a kind of statistical distance: a binary function which establishes the separation from one probability distribution
Divergence_(statistics)
Function with a smaller domain
needed] The domain anti-restriction (or domain subtraction) of a function or binary relation R {\displaystyle R} (with domain E {\displaystyle E} and
Restriction_(mathematics)
Classification of sex and gender into two opposite forms
The gender binary (also known as gender binarism) is the classification of gender into two distinct forms of masculine and feminine, whether by social
Gender_binary
Problem in computer science
the required function h. As in the sketch of the concept, given any total computable binary function f, the following partial function g is also computable
Halting_problem
Generalization of binary functions
analysis of Boolean functions". ECCC. ISSN 1433-8092. Rother, C.; Kolmogorov, V.; Lempitsky, V.; Szummer, M. (2007). Optimizing Binary MRFs via Extended
Pseudo-Boolean_function
Mathematical function, inverse of an exponential function
however, use this term for an exponential function.) For example, any natural number N can be represented in binary form in no more than log2 N + 1 bits.
Logarithm
Use of functions that call themselves
requires a wrapper function to handle the case when the tree itself is empty (root node is Null). In the case of a perfect binary tree of height h, there
Recursion_(computer_science)
Relationship between elements of two sets
function may be defined as a binary relation that meets additional constraints. Binary relations are also heavily used in computer science. A binary relation
Binary_relation
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 in statistics
the binomial distribution . The logit function is the negative of the derivative of the binary entropy function. The logit is also central to the probabilistic
Logit
Financial exotic option with an all-or-nothing payoff
binary option is a financial exotic option in which the payoff is either some fixed monetary amount or nothing at all. The two main types of binary options
Binary_option
Mathematical operation that combines three elements to produce another element
Unary operation Unary function Binary operation Iterated binary operation Binary function Median algebra or Majority function Ternary conditional operator
Ternary_operation
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
encountered mathematical objects include numbers, expressions, shapes, functions, and sets. Mathematical objects can be very complex; for example, theorems
Mathematical_object
manipulate boolean functions. The value of a boolean function can be determined by following a path in its BDD down to a terminal, making a binary decision at
Binary_decision
Mathematical concept
limθ→0(dn−1dθn−1(θθ−sin(θ)3)n). Since a function is a special type of binary relation, many of the properties of an inverse function correspond to properties of converse
Inverse_function
Relation of degree three
also be referred to as 3-adic, 3-ary, 3-dimensional, or 3-place. Just as a binary relation is formally defined as a set of pairs, i.e. a subset of the Cartesian
Ternary_relation
Formalism for expressing dynamical domains in first-order logic
in first-order logic. It is a variant of the situation calculus. A binary function symbol ∘ {\displaystyle \circ } is used to concatenate the terms that
Fluent_calculus
Interface to call functions from other programming languages
environments and application binary interfaces of both. This can be done in several ways: Requiring that guest-language functions which are to be host-language
Foreign_function_interface
Function whose job is only to call another subroutine
helper functions, all helper functions are wrappers, and a notable use of helper functions—grouping frequently utilized operations—is in dynamic binary translation
Wrapper_function
Fundamental trigonometric functions
also Binary angular measurement.) Āryabhaṭa's sine table Bhaskara I's sine approximation formula Discrete sine transform Dixon elliptic functions Euler's
Sine_and_cosine
Gun modification for faster firing
firearm is replaced by the binary trigger assembly. As in all semi-automatic firearms, only one round is fired within a single function of the trigger. This
Binary_trigger
Rooted binary tree data structure
In computer science, a binary search tree (BST), also called an ordered or sorted binary tree, is a rooted binary tree data structure with the key of each
Binary_search_tree
Proof in set theory
from the set T of infinite binary strings to the set R of real numbers. Since T is uncountable, the image of this function, which is a subset of R, is
Cantor's_diagonal_argument
Assignment of meaning to the symbols of a formal language
language of rings, there are constant symbols 0 and 1, two binary function symbols + and ·, and no binary relation symbols. (Here the equality relation is taken
Interpretation_(logic)
Microsoft open source library
open source library for intercepting, monitoring and instrumenting binary functions on Microsoft Windows. It is developed by Microsoft and is most commonly
Microsoft_Detours
Order-preserving mathematical function
In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order. This concept
Monotonic_function
Computational problem with high complexity
theory of any term algebra in a signature containing at least one binary function symbol finite containment problem (FCP): Given two VAS with finite
Nonelementary_problem
Property that assigns truth values to k-tuples of individuals
nullary function is a unary relation. Binary (2-ary) relations are the most commonly studied form of finitary relations. Homogeneous binary relations
Finitary_relation
Addition, multiplication, division, ...
but with a partial mapping in place of a function. There are two common types of operations: unary and binary. Unary operations involve only one value
Operation_(mathematics)
group extension problem. It consists of a set of automorphisms and a binary function on a group satisfying certain condition (so-called cocycle condition)
Factor_system
Reverse-engineering platform developed by Vector 35 Inc
similar to C source code. Binary Ninja automatically performs various analyses on the binary. Some examples are: function detection cross-references
Binary_Ninja
A binary-safe function treats its input as a raw stream of bytes and ignores every textual aspect it may have. The term is mainly used in the PHP programming
Binary-safe
Dividing things between two categories
3D point clouds. Binary classification may be a form of dichotomization in which a continuous function is transformed into a binary variable. Tests whose
Binary_classification
Function with unusual fractal properties
question-mark function involves the correspondence between two different ways of representing real numbers using finite or infinite binary sequences. Most
Minkowski's question-mark function
Minkowski's_question-mark_function
Representation of a mathematical function
In mathematics, the graph of a function f {\displaystyle f} is the set of ordered pairs ( x , y ) {\displaystyle (x,y)} , where f ( x ) = y . {\displaystyle
Graph_of_a_function
Area of mathematical logic
numbers N {\displaystyle {\mathcal {N}}} , viewed as a structure with binary functions for addition and multiplication and constants for 0 and 1 of the natural
Model_theory
Combinatorial optimization problem
define the function f Q : B n → R {\displaystyle f_{\boldsymbol {Q}}:\mathbb {B} ^{n}\rightarrow \mathbb {R} } that assigns a value to each binary vector
Quadratic unconstrained binary optimization
Quadratic_unconstrained_binary_optimization
Binary function non degenerative defined between the point of twist of an abelian variety
corresponding results for elliptic functions were known, and can be expressed simply by use of the Weierstrass sigma function. Choose an elliptic curve E defined
Weil_pairing
IEEE standard for floating-point arithmetic
the IEEE 754 standard. The standard defines: arithmetic formats: sets of binary and decimal floating-point data, which consist of finite numbers (including
IEEE_754
Pair of related terms or concepts that are opposite in meaning
A binary opposition (also binary system) is a pair of related terms or concepts that are opposite in meaning. Binary opposition is the system of language
Binary_opposition
Concept in mathematical logic
terms of binary Boolean functions, F is functionally complete if and only if every binary Boolean function can be expressed in terms of the functions in F
Functional_completeness
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
Measure for evaluating probabilistic forecasts
Brier/quadaratic score of the sampled cumulative distribution function F {\displaystyle F} for the binary event { X ≤ y } {\displaystyle \{X\leq y\}} . CRPS is
Scoring_rule
System consisting of two black holes in close orbit around each other
A binary black hole (BBH), or black hole binary, is an astronomical object consisting of two black holes in close orbit around each other. Like black
Binary_black_hole
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
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
Overview of and topical guide to discrete mathematics
apparent domain Multivalued function – Generalized mathematical function Binary function – Function that takes two inputs Floor function – Nearest integers from
Outline of discrete mathematics
Outline_of_discrete_mathematics
Subset of a function's codomain
{\tilde {f}}(x)=f(x).} This new function is surjective. Given two sets X and Y, a binary relation f between X and Y is a function (from X to Y) if for every
Range_of_a_function
Statistical estimation method
regression analysis, a binary regression estimates a relationship between one or more explanatory variables and a single output binary variable. Generally
Binary_regression
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
Computer approximation for real numbers
to binary floating-point. For example, the decimal number 0.1 is not representable in binary floating-point of any finite precision; the exact binary representation
Floating-point_arithmetic
Mathematical function conceived as a crude model
a nonlinear function known as an activation function. Depending on the task, these functions could have a sigmoid shape (e.g. for binary classification)
Artificial_neuron
Data whose unit can take on only two possible states
Binary data is data whose unit can take on only two possible states. These are often labelled as 0 and 1 in accordance with the binary numeral system and
Binary_data
Disk encryption software
versions. The LUKS2 header has a binary area and a JSON area, a second binary and JSON area, and a keyslots area. The binary and JSON areas are repeated two
Linux_Unified_Key_Setup
Graphical programming language
is defined as Preparation of function charts for control systems, and was based on GRAFCET [fr] (itself based on binary Petri nets). It can be used to
Sequential_function_chart
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BINARY FUNCTION
BINARY FUNCTION
BINARY FUNCTION
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BINARY FUNCTION
BINARY FUNCTION
BINARY FUNCTION
BINARY FUNCTION
BINARY FUNCTION
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