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Computer term
Thought vector is a term popularized by Geoffrey Hinton, the prominent deep-learning researcher, which uses vectors based on natural language to improve
Thought_vector
Method in natural language processing
representation is a real-valued vector that encodes the meaning of the word in such a way that the words that are closer in the vector space are expected to be
Word_embedding
Geometric object that has length and direction
physics, and engineering, a Euclidean vector or simply a vector (sometimes called a geometric vector or spatial vector) is a geometric object that has magnitude
Euclidean_vector
Machine learning technique
assigned to each word in a sentence. More generally, attention encodes vectors called token embeddings across a fixed-width sequence that can range from
Attention_(machine_learning)
Broad concept generalizing scalars in mathematics and physics
In mathematics and physics, a vector is a generalization of a single number. It may denote a vector quantity, i.e., physical quantity that cannot be expressed
Vector (mathematics and physics)
Vector_(mathematics_and_physics)
Submachine gun
The KRISS Vector is a submachine gun developed by the American company KRISS USA, formerly Transformational Defense Industries (TDI). Civilian variants
KRISS_Vector
Automatic generation or recognition of paraphrased text
documents, the skip-thought model is trained to take a sentence as input and encode it into a skip-thought vector. The skip-thought vector is used as input
Paraphrasing (computational linguistics)
Paraphrasing_(computational_linguistics)
Assignment of a vector to each point in a subset of Euclidean space
In vector calculus and physics, a vector field is an assignment of a vector to each point in a space, most commonly Euclidean space R n {\displaystyle
Vector_field
Overview of and topical guide to thought
these vectors can represent a network of neurons whose connections fire in different ways over time as synapses fire. These large thought vectors in the
Outline_of_thought
Type of application software
thought of as an extension of the traditional 2D vector editors, as they share some common concepts and tools. Vector graphics Comparison of vector graphics
Vector_graphics_editor
Models used to produce word embeddings
technique in natural language processing for obtaining vector representations of words. These vectors capture information about the meaning of the word based
Word2vec
Mathematical operation on vectors in 3D space
product or vector product (occasionally directed area product, to emphasize its geometric significance) is a binary operation on two vectors in a three-dimensional
Cross_product
Euclidean space without distance and angles
point, the zero vector is called the origin. Adding a fixed vector to the elements of a linear subspace (vector subspace) of a vector space produces an
Affine_space
Algebraic object with geometric applications
of algebraic objects associated with a vector space. Tensors may map between different objects such as vectors, scalars, and even other tensors. There
Tensor
Mathematical parametrization of vector spaces by another space
In mathematics, a vector bundle is a topological construction that makes precise the idea of a family of vector spaces parameterized by another space
Vector_bundle
Definite integral of a scalar or vector field along a path
{\displaystyle L} . In qualitative terms, a line integral in vector calculus can be thought of as a measure of the total effect of a given tensor field
Line_integral
Multivariate derivative (mathematics)
In vector calculus, the gradient of a scalar-valued differentiable function f {\displaystyle f} of several variables is the vector field (or vector-valued
Gradient
Agent that carries and transmits pathogens
In epidemiology, a disease vector is any living agent that carries and transmits an infectious pathogen such as a parasite or microbe, to another living
Disease_vector
Vector field that is the gradient of some function
In vector calculus, a conservative vector field is a vector field that is the gradient of some function. A conservative vector field has the property
Conservative_vector_field
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
Function valued in a vector space; typically a real or complex one
of multidimensional vectors or infinite-dimensional vectors. The input of a vector-valued function could be a scalar or a vector (that is, the dimension
Vector-valued_function
Non-tensorial representation of the spin group
/spɪnər/) are elements of a complex vector space that can be associated with Euclidean space. Spinors can be thought of as companion geometric objects to
Spinor
Integration over a non-flat region in 3D space
position which returns a scalar as a value), or a vector field (that is, a function which returns a vector as value). If a region R is not flat, then it is
Surface_integral
Speed and direction of a motion
physical objects. Velocity is a vector quantity, meaning that both magnitude and direction are needed to define it (velocity vector). The scalar absolute value
Velocity
Turning force around an axis
torque vector is perpendicular to both the position and force vectors, and defines the plane in which the two vectors lie. The resulting torque vector direction
Torque
owned a 35% stake in troubled American sports car manufacturer Vector Motors, thought Vector and Lamborghini might be able to collaborate to improve their
History_of_Lamborghini
Mathematical concept applicable to physics
in applied mathematics and vector calculus which has many applications in physics. For transport phenomena, flux is a vector quantity, describing the magnitude
Flux
Structuring text as input to generative artificial intelligence
"auto-CoT", a library of questions are converted to vectors by a model such as BERT. The question vectors are clustered. Questions close to the centroid of
Prompt_engineering
Hamilton's original treatment of quaternions
Since every unit vector can be thought of as a point on a unit sphere, and since a versor can be thought of as the quotient of two vectors, a versor has
Classical Hamiltonian quaternions
Classical_Hamiltonian_quaternions
Topic in mathematics
a real vector space. The complexification of V is defined by taking the tensor product of V {\displaystyle V} with the complex numbers (thought of as a
Complexification
Generalization of the one-dimensional normal distribution to higher dimensions
normal distribution to higher dimensions. One definition is that a random vector is said to be k-variate normally distributed if every linear combination
Multivariate normal distribution
Multivariate_normal_distribution
In mathematics, vector space of linear forms
In mathematics, every vector space V {\displaystyle V} has a corresponding dual vector space (or just dual space for short) consisting of all linear forms
Dual_space
Vector calculus construction
dependent vector field is a construction in vector calculus which generalizes the concept of vector fields. It can be thought of as a vector field which
Time_dependent_vector_field
Four-dimensional number system
Quaternions can be used to represent vectors in three-dimensional space, which provides a definition of the quotient of two vectors. Quaternions were first described
Quaternion
Statistical model to calculate the value of multiple quantities as they change over time
Vector autoregression (VAR) is a statistical model used to capture the relationship between multiple quantities as they change over time. VAR is a type
Vector_autoregression
Property determining comparison and ordering
all Euclidean vectors have a magnitude (see above). However, a vector in an abstract vector space does not possess a magnitude. A vector space endowed
Magnitude_(mathematics)
System of moving vectors in differential geometry
connection on the tangent bundle), then this connection allows one to transport vectors of the manifold along curves so that they stay parallel with respect to
Parallel_transport
Concepts in mathematics
a vector flow can be thought of as a solution to the system of differential equations induced by a vector field. That is, if a (conservative) vector field
Vector_flow
Classical statement of gravity as force
{r_{2}-r_{1}} }{|\mathbf {r_{2}-r_{1}} |}}} is the unit vector from body 1 to body 2. It can be seen that the vector form of the equation is the same as the scalar
Newton's law of universal gravitation
Newton's_law_of_universal_gravitation
Mathematical concept
In mathematics, a symplectic vector space is a vector space V {\displaystyle V} over a field F {\displaystyle F} (for example the real numbers R {\displaystyle
Symplectic_vector_space
Sum of directed areas in exterior algebra
characterizing a directed plane segment (or oriented plane segment), much as vectors can be thought of as characterizing directed line segments. The bivector a ∧ b
Bivector
Mathematical description of spacetime used in relativity
:M\times M\rightarrow \mathbb {R} \ ,} the lowered version of a vector can be thought of as the partial evaluation of η , {\displaystyle \ \eta \
Minkowski_spacetime
Method of data analysis
space are a sequence of p {\displaystyle p} unit vectors, where the i {\displaystyle i} -th vector is the direction of a line that best fits the data
Principal_component_analysis
Matrices important in quantum mechanics and the study of spin
pre-multiplication by i is necessary to land in SU(2) . The Pauli vector is a formal device. It may be thought of as an element of M 2 ( C ) ⊗ R 3 , {\displaystyle
Pauli_matrices
Mathematics concept
transform of the space, thought of as a complex vector space, but also a real linear transform of the space, thought of as a real vector space. Concretely,
Linear_complex_structure
Algorithm for modelling sequential data
numerical representations called tokens, and each token is converted into a vector via lookup from a word embedding table. At each layer, each token is then
Transformer_(deep_learning)
Position of something in relation to its surroundings
geology and grade on maps and signs. A unit vector may also be used to represent an object's normal vector direction or the relative direction between
Orientation_(geometry)
Vector logic is an algebraic model of elementary logic based on matrix algebra. Vector logic assumes that the truth values map on vectors, and that the
Vector_logic
Fundamental space of geometry
through axiomatic theory. Another definition of Euclidean spaces by means of vector spaces and linear algebra has been shown to be equivalent to the axiomatic
Euclidean_space
Family of linear transformations
matrices, this transformation should be thought of as the inverse transpose of Λ acting on the column vector Aμ. That is, in pure matrix notation, A ′
Lorentz_transformation
Set of values that describe the polarization state of electromagnetic radiation
determined by constructing the Stokes vector for the input light and applying Mueller calculus, to obtain the Stokes vector of the light leaving the system
Stokes_parameters
Conserved physical quantity; rotational analogue of linear momentum
the cross product of the particle's position vector r (relative to some origin) and its momentum vector; the latter is p = mv in Newtonian mechanics.
Angular_momentum
Quantity in electromagnetism
In classical electromagnetism, magnetic vector potential (often denoted A) is the vector quantity defined so that its curl is equal to the magnetic field
Magnetic_vector_potential
Representation of a quantum mechanical system
quantum system is represented by a non-zero vector ψ {\displaystyle \psi } in H {\displaystyle H} . The vectors ψ {\displaystyle \psi } and λ ψ {\displaystyle
Bloch_sphere
4D relativistic energy and momentum
four-dimensional spacetime. Momentum is a vector in three dimensions; similarly four-momentum is a four-vector in spacetime. The contravariant four-momentum
Four-momentum
Species of mosquito
triseriatus. It has been shown to be a vector of malaria in the laboratory, but it is not thought to be an important malaria vector in the wild.[additional citation(s)
Anopheles_barberi
prior to its release. Vector and the band made a brief appearance in the promotional manga Sonic the Hedgehog Story Comic. Vector then made his official
List of Sonic the Hedgehog characters
List_of_Sonic_the_Hedgehog_characters
1948 book by Edward Arthur Milne
Vectorial Mechanics (1948) is a book on vector manipulation (i.e., vector methods) by Edward Arthur Milne, a highly decorated (e.g., James Scott Prize
Vectorial_Mechanics
Assignment of vector fields to manifolds
below. In the embedded-manifold picture, a tangent vector at a point x {\displaystyle x} is thought of as the velocity of a curve passing through the point
Tangent_space
Species of virus
or flying foxes. Bats appear to be an asymptomatic host. Infection is thought to occur through serious contact with bodily fluids from infected animals
Menangle_pararubulavirus
a complex vector bundle is a vector bundle whose fibers are complex vector spaces. Any complex vector bundle can be viewed as a real vector bundle through
Complex_vector_bundle
Input to a cryptographic primitive
In cryptography, an initialization vector (IV) or starting variable is an input to a cryptographic primitive being used to provide the initial state. The
Initialization_vector
Calculus of functions of several variables
be thought of as an elementary part of calculus on Euclidean space. The special case of calculus in three dimensional space is often called vector calculus
Multivariable_calculus
Group that is also a differentiable manifold with group operations that are smooth
of the Lie algebra of a Lie group (in 4 steps): Vector fields on any smooth manifold M can be thought of as derivations X of the ring of smooth functions
Lie_group
Overview of and topical guide to natural language processing
programming Reification (linguistics) Semantic folding Spoken dialogue system Thought vector Transderivational search Word2vec "... modern science is a discovery
Outline of natural language processing
Outline_of_natural_language_processing
Tangent spaces of a manifold
prototypical example of a vector bundle (which is a fiber bundle whose fibers are vector spaces). A section of T M {\displaystyle TM} is a vector field on M {\displaystyle
Tangent_bundle
Operation on differential forms
Gauss's theorem, and Green's theorem from vector calculus. If a differential k {\displaystyle k} -form is thought of as measuring the flux through an infinitesimal
Exterior_derivative
Analogue of velocity in four-dimensional spacetime
is a four-vector in four-dimensional spacetime that represents the relativistic counterpart of velocity, which is a three-dimensional vector in space.
Four-velocity
Algorithm for supervised learning of binary classifiers
is a function that can decide whether or not an input, represented by a vector of numbers, belongs to some specific class. It is a type of linear classifier
Perceptron
Algebraic structure formed from a collection of algebraic structures
coordinates. The xy-plane, a two-dimensional vector space, can be thought of as the direct sum of two one-dimensional vector spaces: the x and y axes. In this direct
Direct_sum
Diseases of humans caused by a pathogen
reservoirs, and Rift Valley fever, which demonstrates climate-sensitive vector transmission patterns. The transmission dynamics of zoonotic diseases vary
Zoonosis
Matrix of partial derivatives of a vector-valued function
In vector calculus, the Jacobian matrix (/dʒəˈkoʊbiən/, /dʒɪ-, jɪ-/) of a vector-valued function of several variables is the matrix of all its first-order
Jacobian matrix and determinant
Jacobian_matrix_and_determinant
Type of vector space in math
spaces of any finite or infinite dimension. A Hilbert space is an abstract vector space, and it has the additional structure of an inner product that allows
Hilbert_space
Nigerian rapper (born 1984)
Olanrewaju Ogunmefun, better known by his stage name Vector, is a Nigerian rapper, singer and songwriter. He has released three studio albums, including
Vector_(rapper)
German technology company
order, August 2022, 33 VECTOR Second order, January 2023, 105 VECTOR Third order, May 2023, 300 VECTOR Deliveries: 619 VECTOR supplied by Germany as of
Quantum-Systems
1920–1945 Soviet intelligence operation
charges of lack of assimilation of Soviet values, foreign ties and as being vectors for foreign agentura (agents). These charges are pronounced, falsified
Maki_Mirage
Wave that remains in a constant position
traveling in opposite directions (red and blue). Electric force vector (E) and magnetic force vector (H) of a standing wave. Standing waves in a string – the
Standing_wave
Estimate of an unobservable underlying probability density function
including Parzen windows and a range of data clustering techniques, including vector quantization. The most basic form of density estimation is a rescaled histogram
Density_estimation
logo, new navigation tools, and a link wizard. Vector 2022, an update to Wikipedia's previous skin Vector 2010, was announced in September 2020, and initially
History_of_Wikipedia
Geometric space with six dimensions
field is generally thought of as being made of two things, the electric field and magnetic field. They are both three-dimensional vector fields, related
Six-dimensional_space
Mathematical description of quantum state
For example: Linear algebra explains how a vector space can be given a basis, and then any vector in the vector space can be expressed in this basis. This
Wave_function
Combinitorics of Polyhedra
convenient to transform these vectors, producing a different vector called the h-vector. If we interpret the terms of the ƒ-vector (omitting the final 1) as
Polyhedral_combinatorics
Graded vector space with applications to theoretical physics
In mathematics, a super vector space is a Z 2 {\displaystyle \mathbb {Z} _{2}} -graded vector space, that is, a vector space over a field K {\displaystyle
Super_vector_space
Vector 3 is a science fiction combat microgame published by Simulations Publications, Inc. (SPI) in 1979. Vector 3 is a tactical space combat game involving
Vector_3
Volume space bounded by a sphere
closed ball in any infinite-dimensional normed vector space is never compact. However, a ball in a normed vector space will always be convex as a consequence
Ball_(mathematics)
Instantaneous rate of change (mathematics)
function of several variables, the Jacobian matrix reduces to the gradient vector. A function of a real variable f ( x ) {\displaystyle f(x)} is differentiable
Derivative
Rate of change of velocity
Like velocity, acceleration has a magnitude and a direction, making it a vector quantity. The SI unit for acceleration is metre per second squared (m⋅s−2
Acceleration
Concept in natural language processing
Cortes, C.; Lawrence, N. D.; Lee, D. D.; Sugiyama, M. (eds.), "Skip-Thought Vectors" (PDF), Advances in Neural Information Processing Systems 28, Curran
Semantic_similarity
Motion of a certain space that preserves at least one point
and a unit vector for the axis, or as a Euclidean vector obtained by multiplying the angle with this unit vector, called the rotation vector (although
Rotation_(mathematics)
Differentiable manifold with nondegenerate metric tensor
T_{p}M} ). This is an n {\displaystyle n} -dimensional vector space whose elements can be thought of as equivalence classes of curves passing through the
Pseudo-Riemannian_manifold
Distinction between meanings of Euclidean space transformations
considering abstract vector spaces. Fix a finite-dimensional vector space V {\displaystyle V} over a field K {\displaystyle K} (thought of as R {\displaystyle
Active and passive transformation
Active_and_passive_transformation
Result about when a matrix can be diagonalized
That is, a bounded self-adjoint operator that admits a cyclic vector should be thought of as the infinite-dimensional generalization of a self-adjoint
Spectral_theorem
Property of a mass in motion
object. It is a vector quantity, possessing a magnitude and a direction. If m is an object's mass and v is its velocity (also a vector quantity), then
Momentum
Species of treehopper
causes a serious threat to the United States wine industry due to its vectoring of Grapevine red blotch virus (GRBV). When S. festinus feed on GRBV infected
Spissistilus_festinus
Geometric model of the physical space
correspond to (the negative of) the scalar part and the vector part of the product of two vector quaternions. It was not until Josiah Willard Gibbs that
Three-dimensional_space
Number with a real and an imaginary part
{\displaystyle \mathbb {C} ,} thought of as an R {\displaystyle \mathbb {R} } -algebra (an R {\displaystyle \mathbb {R} } -vector space with a multiplication)
Complex_number
Tanzanian-Australian author
133. — (4 August 2020). "Afrofuturism: A WorldCon Recap, and Some Thoughts". Vector. British Science Fiction Association. — (27 August 2020). "The New
Eugen_Bacon
Scalar-valued bilinear function
bilinear form is a bilinear map V × V → K on a vector space V (the elements of which are called vectors) over a field K (the elements of which are called
Bilinear_form
American-British bacteriologist
being formed in an antigen-antibody interaction. The reaction was at first thought to be specific, but it was soon found that while the protein used to generate
George_Nuttall
Thought experiment in physics
Newton's rotating bucket argument (also known as Newton's bucket) is a thought experiment that was designed to demonstrate that true rotational motion
Bucket_argument
THOUGHT VECTOR
THOUGHT VECTOR
Girl/Female
Hindu
Thought
Boy/Male
Hindu, Indian, Marathi, Telugu
Thought
Boy/Male
Tamil
A thought
Girl/Female
Australian, Indian, Sanskrit
Thought
Boy/Male
Indian
Thought, Ideas
Boy/Male
Tamil
A thought
Boy/Male
Hindu, Indian
Thought
Boy/Male
Hindu, Indian
Thought
Girl/Female
Muslim
Wise thought
Boy/Male
Hindu, Indian, Kannada, Marathi
Thought
Boy/Male
Hindu, Indian
Thought
Girl/Female
Hindu
Advice, Thought
Boy/Male
Australian, Indian
Thought
Girl/Female
Tamil
Mantrana | மஂதà¯à®°à®¨à®¾
Advice, Thought
Mantrana | மஂதà¯à®°à®¨à®¾
Girl/Female
Hindu, Indian
Thought
Boy/Male
Hindu, Indian
Thought
Boy/Male
Hindu, Indian, Marathi
Thought
Boy/Male
Tamil
Thought
Boy/Male
Hindu, Indian
Thought
Girl/Female
Tamil
Thought
THOUGHT VECTOR
THOUGHT VECTOR
Boy/Male
Arabic, Muslim
Confident; Believer; Faithful Friend
Girl/Female
Muslim
Honorable
Boy/Male
Hindu, Indian, Malayalam, Marathi
Lord of Mountains
Boy/Male
Native American
Walks without sound.
Girl/Female
Arabic, Australian, Muslim
True News; Wonderful News
Girl/Female
Assamese, Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Sindhi, Tamil, Telugu
Wife of Indra
Girl/Female
Indian
Beloved princess Amyra
Surname or Lastname
English
English : habitational name from Wedmore in Somerset, recorded in the 9th century as Wethmor, possibly meaning ‘marsh (Old English mÅr) used for hunting (wÇ£the)’.
Girl/Female
Gujarati, Hindu, Indian, Kannada, Sanskrit, Tamil, Telugu
Goddess Parvati; Female Version of Shiva
Boy/Male
Hindu
Destroyer of enemies, Calm, Benevolent, Another name for Shiva
THOUGHT VECTOR
THOUGHT VECTOR
THOUGHT VECTOR
THOUGHT VECTOR
THOUGHT VECTOR
n.
A small degree or quantity; a trifle; as, a thought longer; a thought better.
n.
That which is thought; an idea; a mental conception, whether an opinion, judgment, fancy, purpose, or intention.
adv.
From beginning to end; as, to read a letter through.
superl.
Severe; violent; as, a tough storm.
adv.
From one end or side to the other; as, to pierce a thing through.
imp. & p. p.
of Think
prep.
From end to end of, or from side to side of; from one surface or limit of, to the opposite; into and out of at the opposite, or at another, point; as, to bore through a piece of timber, or through a board; a ball passes through the side of a ship.
a.
Going or extending through; going, extending, or serving from the beginning to the end; thorough; complete; as, a through line; a through ticket; a through train. Also, admitting of passage through; as, a through bridge.
n.
The act of thinking; the exercise of the mind in any of its higher forms; reflection; cogitation.
n.
Meditation; serious consideration.
prep.
Over the whole surface or extent of; as, to ride through the country; to look through an account.
prep.
From the beginning to the end of; to the end or conclusion of; as, through life; through the year.
a.
Bought at a high price; as, dear-bought experience.
adv.
To the end; to a conclusion; to the ultimate purpose; as, to carry a project through.
prep.
Between the sides or walls of; within; as, to pass through a door; to go through an avenue.
prep.
Among or in the midst of; -- used to denote passage; as, a fish swims through the water; the light glimmers through a thicket.
a.
Having one's thoughts directed toward mean or insignificant subjects.
n.
Any channel, receptacle, or depression, of a long and narrow shape; as, trough between two ridges, etc.
n.
Solicitude; anxious care; concern.