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In mathematics, the indicator vector, characteristic vector, or incidence vector of a subset T of a set S is the vector x T := ( x s ) s ∈ S {\displaystyle
Indicator_vector
representation of G with Schur indicator −1, called a quaternionic representation. Moreover, every irreducible representation on a complex vector space can be constructed
Frobenius–Schur_indicator
Topics referred to by the same term
characteristic vector may refer to: An eigenvector An indicator vector This disambiguation page lists articles associated with the title Characteristic vector. If
Characteristic_vector
Bit-vector representation where only one bit can be set at a time
variables; outputs 1 if they are equal, 0 otherwise Indicator vector Serial decimal Single-entry vector – Concept in mathematicsPages displaying short descriptions
One-hot
Convex hull of indicator vectors of bases
{\displaystyle B\subseteq \{1,\dots ,n\}} of M {\displaystyle M} , the indicator vector of B {\displaystyle B} is e B := ∑ i ∈ B e i , {\displaystyle \mathbf
Matroid_polytope
Distance amplifying instrument
manufacturing (such as machining, fabricating, and additive manufacturing), an indicator is any of various instruments used to accurately measure small distances
Indicator (distance amplifying instrument)
Indicator_(distance_amplifying_instrument)
polytope defined from a number n {\displaystyle n} as the convex hull of indicator vectors of the sets of edges of n {\displaystyle n} -vertex transitive tournaments
Order_polytope
Visualization of genomic datasets
forms, inviting insights into the genetic basis of biodiversity. Indicator vectors are used to depict nucleotide sequences. This technique produces correlation
Klee_diagram
Variable representing a random phenomenon
of possible words. Alternatively, it can be represented as a random indicator vector, whose length equals the size of the vocabulary, where the only values
Random_variable
Smallest convex set containing a given set
and define risk sets of randomized decision rules. Convex hulls of indicator vectors of solutions to combinatorial problems are central to combinatorial
Convex_hull
Type of personality test
Myers-Briggs Type Indicator Edwin A. Locke, Charles L. Hulin, 'A review and evaluation of the validity studies of activity vector analysis', Personnel
Activity_vector_analysis
Abstraction of linear independence of vectors
the indicator vectors of the bases of M {\displaystyle M} The independence polytope of M {\displaystyle M} is the convex hull of the indicator vectors of
Matroid
Concepts from linear algebra
algebra, an eigenvector (/ˈaɪɡən-/ EYE-gən-) or characteristic vector is a (nonzero) vector that has its direction unchanged (or reversed) by a given linear
Eigenvalues_and_eigenvectors
Numeric stand-ins in regression analysis
In regression analysis, a dummy variable (also known as indicator variable or just dummy) is one that takes a binary value (0 or 1) to indicate the absence
Dummy_variable_(statistics)
Type of representation in representation theory
is usually a representation on a real vector space U, but it can also mean a representation on a complex vector space V with an invariant real structure
Real_representation
Method of data analysis
of p unit vectors, where the i-th vector is the direction of a line that best fits the data while being orthogonal to the first i−1 vectors. Here, a best-fitting
Principal_component_analysis
Set of rules defining correctly structured programs
2-element vector {45 67} is expanded where Boolean 0s occur to result in a 3-element vector {45 0 67} — note how APL inserted a 0 into the vector. Conversely
APL_syntax_and_symbols
family of sets forms a delta-matroid when the convex hull of its indicator vectors (the analogue of a matroid polytope) has the property that every edge
Delta-matroid
Upper bound on intersecting set families
p.} The proof involves observing that subsets of variables whose indicator vectors have large convex combinations must be non-disjoint and using the
Erdős–Ko–Rado_theorem
Error-correcting codes used in wireless communication
N-dimensional space F 2 N {\displaystyle \mathbb {F} _{2}^{N}} the indicator vectors I A ∈ F 2 N {\displaystyle \mathbb {I} _{A}\in \mathbb {F} _{2}^{N}}
Reed–Muller_code
Social choice problem
Packing constraints: there is a fixed matrix A and a fixed vector b, and the indicator vector of the items x must satisfy the inequality A x ≤ b. The problem
Multi-issue_voting
Method of interpolation
x} . Indicator kriging uses indicator functions instead of the process itself, in order to estimate transition probabilities. Multiple-indicator kriging
Kriging
Graph with tight clique-coloring relation
x≥0, Ax≤1 form an integral polytope. It is the convex hull of the indicator vectors of independent sets in the graph, with facets corresponding to the
Perfect_graph
Generalized alphabetical order
5 2 {\displaystyle x_{1}x_{2}^{3}x_{4}x_{5}^{2}} ) with their exponent vectors (here [1, 3, 0, 1, 2]). If n is the number of variables, every monomial
Lexicographic_order
Mechanism that indicates a fault in a system
A fault indicator is a mechanism that conveys an indication of a fault, or absence of it, in a system. For example, the purpose of the engine-check light
Fault_indicator
Random variable with multiple component dimensions
probability and statistics, a multivariate random variable or random vector is a list or vector of mathematical variables each of whose value is unknown, either
Multivariate_random_variable
Whose values lie in an infinite-dimensional vector space
An infinite-dimensional vector function is a function whose values lie in an infinite-dimensional topological vector space, such as a Hilbert space or
Infinite-dimensional vector function
Infinite-dimensional_vector_function
Topics referred to by the same term
coefficient Commutator, an indicator to which a binary operation fails to be commutative Iverson bracket, notation Lie bracket of vector fields, operator Dirac
Math_symbol_brackets
Generalization of finite measure to Banach spaces
In mathematics, a vector measure is a function defined on a family of sets and taking vector values satisfying certain properties. It is a generalization
Vector_measure
Virtual carrier-sensing mechanism in wireless networking
The network allocation vector (NAV) is a virtual carrier-sensing mechanism used with wireless network protocols such as IEEE 802.11 (Wi-Fi) and IEEE 802
Network_allocation_vector
Function spaces generalizing finite-dimensional p norm spaces
finite measure and 𝟏Aj is the indicator function of the set Aj, for j=1,…,n. By construction of the integral, the vector space of integrable simple functions
Lp_space
Maximal independent set of the matroid
(where n is the number of elements in the matroid), whose vertices are indicator vectors of the bases of the matroid. Ardila, Federico (2007). "Matroids, lecture
Basis_of_a_matroid
64-bit extension of the ARM architecture
Doubling Multiply Subtract, Returning High Half. The instructions are added in vector and scalar forms. A set of AArch64 load and store instructions that can
AArch64
matching problem. The stable matching polytope is the convex hull of the indicator vectors of the stable matchings of the given problem. It has a dimension for
Stable_matching_polytope
Statistical estimation method
statistics and econometrics, Bayesian vector autoregression (BVAR) uses Bayesian methods to estimate a vector autoregression (VAR) model. BVAR differs
Bayesian vector autoregression
Bayesian_vector_autoregression
Function returning one of only two values
f:\{0,1\}^{k}\to \{0,1\}^{m}} with m > 1 {\displaystyle m>1} is a vectorial or vector-valued Boolean function (an S-box in symmetric cryptography). There
Boolean_function
Symbol used to indicate the del operator
mathematician and physicist William Rowan Hamilton, who called it ◁. (The unit vectors { i , j , k } {\displaystyle \{\mathbf {i} ,\mathbf {j} ,\mathbf {k} \}}
Nabla_symbol
Topics referred to by the same term
air-to-air system Air interdiction, an aerial military capability Attitude indicator, a flight instrument on an aircraft .ai, a top-level domain Accommodative
Ai
Differential equation exhibiting high rate of dissipation
a nonlinear vector field f {\displaystyle f} , but since s 2 [ f ] {\displaystyle s_{2}[f]} is defined globally, the stiffness indicator is instead defined
Stiff_equation
Indicator for how well data points fit a line or curve
a vector y=[y1, ..., yn]T), each associated with a fitted (or modeled, or predicted) value f1, ..., fn (known as fi, or sometimes ŷi, as a vector f)
Coefficient_of_determination
Radar signal processing technique
repetition frequency (PRF) to avoid range ambiguities. Moving target indicator (MTI) begins with sampling two successive pulses. Sampling begins immediately
Moving_target_indication
Software environment vulnerable to attack
a software environment is the sum of the different points (for attack vectors) where an unauthorized user (the "attacker") can try to enter data to,
Attack_surface
Mathematical method in functional analysis
often convenient to define a linear transformation on a complete, normed vector space X {\displaystyle X} by first defining a linear transformation L {\displaystyle
Continuous_linear_extension
Modern aircraft instrument
minimum, an airspeed indicator, turn coordinator, attitude indicator, heading indicator, altimeter, and vertical speed indicator [14 CFR Part 61.129(j)(1)]
Primary_flight_display
Quality indicator for Pareto-front approximation sets
The hypervolume indicator is a performance indicator used in multi-objective optimization to measure the quality of a finite approximation of the Pareto
Hypervolume_indicator
Geometric space with four dimensions
everyday life. Single locations in Euclidean 4D space can be given as vectors or 4-tuples, i.e., as ordered lists of numbers such as (x, y, z, w). For
Four-dimensional_space
Use of evolutionary algorithms for optimization problems with multiple objectives
information and an external archive. Indicator-based evolutionary algorithms use a numerical performance indicator for approximation sets as part of the
Evolutionary multi-objective optimization
Evolutionary_multi-objective_optimization
Representation of a signal as a rectangular wave with varying duty cycle
seconds for one blink. An indicator of this type would not disturb as much as a hard-blinking on/off indicator. The indicator lamp on the Apple iBook G4
Pulse-width_modulation
Water content of an animal's body
• medium for excretion • means for heat control • lubricant for joints • vector for shock absorption The usual way of adding water to a body is by drinking
Body_water
Mathematical concept
optimization or Pareto optimization (also known as multi-objective programming, vector optimization, multicriteria optimization, or multiattribute optimization)
Multi-objective_optimization
Civil aviation regulations for flight on instruments
heading indicator, sensitive altimeter adjustable for barometric pressure, clock with a sweep-second pointer or digital equivalent, attitude indicator, radios
Instrument_flight_rules
complex vector space. Sometimes (for example in physics), the term complex representation is reserved for a representation on a complex vector space that
Complex_representation
Topics referred to by the same term
integer part of a common logarithm Characteristic function, usually the indicator function of a subset, though the term has other meanings in specific domains
Characteristic
Algorithm for computing trigonometric, hyperbolic, logarithmic and exponential functions
the final vector. In vectoring mode, a vector is taken as input, and the rotation directions are chosen so that the y coordinate of the vector approaches
CORDIC
Illumination media franchise
supervillain Gru formulates a plan to steal the Moon after a younger villain named Vector steals the Great Pyramid of Giza. As part of his plan, he adopts three orphan
Despicable_Me
Topics referred to by the same term
in medicine and pharmacy for a medication given in tablet form Tab, an indicator on a file folder Tab, a loaded march in the British Army tab or Tabula
Tab
Infection by a pathogen of non-human origin
reservoirs, and Rift Valley fever, which demonstrates climate-sensitive vector transmission patterns. The transmission dynamics of zoonotic diseases vary
Zoonosis
A drift meter, also drift indicator and drift sight, is an optical device used to improve dead reckoning for aircraft navigation by measuring wind effect
Drift_meter
Measure of similarity and diversity between sets
generalizes the Jaccard Index to positive vectors, where a set corresponds to a binary vector given by the indicator function, i.e. x i ∈ { 0 , 1 } {\displaystyle
Jaccard_index
Horizontal speed of an aircraft relative to the ground
either headwind or tailwind as well as a crosswind component. An airspeed indicator indicates the aircraft's speed relative to the air mass it is flying through
Ground_speed
transfer could take place during plant infection. There are many possible vectors, such as plant–fungus–insect interactions. The ability for fungi to infect
Plant–fungus horizontal gene transfer
Plant–fungus_horizontal_gene_transfer
the area of a triangle use trigonometry, side lengths (Heron's formula), vectors, coordinates, line integrals, Pick's theorem, or other properties. The
Area_of_a_triangle
by viral vectors (e.g. rAAV) can be used to record the activity of thousands of neurons at the same time When designing or comparing indicators, the following
Optogenetic methods to record cellular activity
Optogenetic_methods_to_record_cellular_activity
Limit of sequence of smooth functions
of mathematics), the Laplacian of the indicator is obtained by letting the Laplace operator work on the indicator function of some domain D. It is a generalisation
Laplacian_of_the_indicator
Idea that the construction of skyscrapers predicts an economic crash
elevate this fact to become an "index". A related concept, Skyscraper Indicator, was popularized by Ralph Nelson Elliott in the 1930s. In some ways this
Skyscraper_Index
RME indicators is provided. The inter-industry flows within an economy form an n×n matrix Z and the total output of each industry forms an n×1 vector x
Environmentally extended input–output analysis
Environmentally_extended_input–output_analysis
Known channel properties of a communication link
transmit vectors, respectively, and H {\displaystyle \mathbf {H} } and n {\displaystyle \mathbf {n} } are the channel matrix and the noise vector, respectively
Channel_state_information
Vector quantization algorithm minimizing the sum of squared deviations
k-means clustering is a method of vector quantization, originally from signal processing, that aims to partition n observations into k clusters in which
K-means_clustering
Pointing device used to control a computer
YS represent the sign bits of the movement vectors, XV and YV indicate an overflow in the respective vector component, and LB, MB and RB indicate the status
Computer_mouse
Angle between the chord of a wing and the undisturbed airflow
a reference line on a body (often the chord line of an airfoil) and the vector representing the relative motion between the body and the fluid through
Angle_of_attack
Transparent display presenting data within normal sight lines of the user
aircraft (i.e. the flight path vector symbol is flat relative to the horizon line and there is zero roll on the turn/bank indicator.) Airspeed is 140 knots,
Head-up_display
product portfolio includes RF power sensors, RF power meters, wattmeters, vector network analyzers, spectrum analyzers, antenna and cable testers, attenuators
Bird_Technologies
Devices that measure magnetic field strength using the Hall effect
voltage is produced proportional to one axial component of the magnetic field vector B. Hall sensors are used for proximity sensing, positioning, speed detection
Hall-effect_sensor
Statistical amount
y values. The survey sampling procedure yields a series of Bernoulli indicator values ( I i {\displaystyle I_{i}} ) that get 1 if some observation i
Weighted_arithmetic_mean
Vector graphics display system by IBM for the System/360
The IBM 2250 Graphics Display Unit was a vector graphics display system by IBM for the System/360; the Model IV attached to the IBM 1130. The IBM 2250
IBM_2250
Software engineering process
data formats (which include comparison vectors, c-vectors, and comparison status indicators, cs-indicators), cross-check points (cc-points), comparison
N-version_programming
European Declaration of conformity mark
safety, and environmental protection standards. The mark is not a quality indicator or a certification mark. The CE marking is required for relevant goods
CE_marking
Computer graphics feature
collection of points whose outwards surface normal is perpendicular to the view vector. Due to discontinuities in the surface normal, a silhouette edge is also
Silhouette_edge
Distance from origin of tangent hyperplanes
the support function is most intuitive when x {\displaystyle x} is a unit vector. By definition, the convex set A {\displaystyle A} is contained in the closed
Support_function
in evaluating technological processes. It is generally represented as a vector of components, with the special case of uni-dimensional value as a synthetic
Quality_of_results
Method of mathematical integration
use of so-called simple functions: finite, real linear combinations of indicator functions. Simple functions that lie directly underneath a given function
Lebesgue_integral
Method of analysis of unbalanced three-phase power systems
current is very small, so a high current value is a convenient and reliable indicator of a ground fault. The basic idea dates back to 1895, when Ferraris et
Symmetrical_components
Type of video game graphics
images at the top of the article. Notice how in the left image the camera vector passes through the two opposing vertices of the cube. Vas, Gergo (2013-05-10)
Isometric_video_game_graphics
Country in Southeastern and Central Europe
among other international organizations. The country has pursued a multi-vector policy, balancing its relations with the European Union, Russia, the United
Serbia
Petrified hyrax excrement accumulation
ecoregions, such as the dry savannah at Spitzkoppe in Namibia, as an indicator of the reliability of grass cover. As hyraxes will preferentially graze
Rock_hyrax_midden
Study of the performance, stability, and control of flying vehicles
engineering software Moving frame – Generalization of an ordered basis of a vector space Stengel, Robert F. (2025), Aircraft Flight Dynamics (MAE 331) course
Flight_dynamics
German cipher machine during World War II
The exact method used was termed the indicator procedure. Design weakness and operator sloppiness in these indicator procedures were two of the main weaknesses
Enigma_machine
Type of measurement error
the desired vector (in this case, orthogonal width), the instrument is measuring the hypotenuse of a triangle in which the desired vector is in fact one
Cosine_error
Mammal parasitic disease
transplant or blood transfusion tend to have symptoms similar to those of vector-borne disease, but the symptoms may not manifest for anywhere from a week
Chagas_disease
Parasitic disease of animals
lapping up the blood along with connective tissue fluid. This means a good indicator of disease would be looking at trypanosome density in capillary blood
Surra
By name A B C D E F G H I J K L M N O P Q R S T U V W Y Z By location indicator CA CB CC CD CE CF CG CH CI CJ CK CL CM CN CO CP CQ CR CS CT CU CV CW CX
List_of_airports_in_Ontario
illustris (Meigen), as an indicator of human post-mortem interval: a case of homicide from Fort Lewis, Washington. Bull Soc Vector Ecol. 1986;11:271–275.
Insect indicators of abuse or neglect
Insect_indicators_of_abuse_or_neglect
Concept in population ecology
vector. Within the life-cycle stages taking place in the vector, density-dependence may influence the development of L3 larvae in vectors and vector life
Density_dependence
Theorem in measure theory
justifying the use of a "restricted" measure in vector calculus. For instance, in Stokes' theorem as applied to a vector field flowing through a compact surface
Disintegration_theorem
Function that returns its argument unchanged
function is a linear operator when applied to vector spaces. In an n {\displaystyle n} -dimensional vector space the identity function is represented by
Identity_function
glide path antennas produce a space-modulated signal resulting from the vectorial addition of two or more audio signals that vary according to position
Difference in the depth of modulation
Difference_in_the_depth_of_modulation
Sums vector sets A and B by adding each vector in A to each vector in B
Euclidean space is the set of the points whose position vectors form the sumset of the position vectors of A and B. The Minkowski sum depends on the choice
Minkowski_addition
Correlation as a function of distance
are made up of cross-correlations. Correlation functions are a useful indicator of dependencies as a function of distance in time or space, and they can
Correlation_function
Electronic game with user interface and visual feedback
display a side view of a tennis court, and Spacewar! had the DEC PDP-1's vector display to have two spaceships battle each other. These inventions laid
Video_game
Technique in neural networks for learning joint representations of text and images
outputs a single vector representing its semantic content. The other model takes in an image and similarly outputs a single vector representing its visual
Contrastive language–image pre-training
Contrastive_language–image_pre-training
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