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In mathematics, effective dimension is a modification of Hausdorff dimension and other fractal dimensions that places it in a computability theory setting
Effective_dimension
Structure in data warehousing
contents of the dimension, or if new attributes are added to the dimension (for example a Sales_Rep column) which have different effective dates from those
Slowly_changing_dimension
Number of values in the final calculation of a statistic that are free to vary
non-central) chi-squared distributions, and dimensionally defined degrees-of-freedom are not useful. The effective degrees of freedom of the fit can be defined
Degrees of freedom (statistics)
Degrees_of_freedom_(statistics)
and the effective dimension. It is known that QMC fails for certain functions that have high effective dimension. However, low effective dimension is not
Quasi-Monte Carlo methods in finance
Quasi-Monte_Carlo_methods_in_finance
Measure of an engine's capacity to do work
displacement. Despite having the dimension of pressure, MEP cannot be measured. When quoted as an indicated mean effective pressure (IMEP), it may be thought
Mean_effective_pressure
Concept in machine learning
suggested that double descent can be explained using the concept of effective dimension: While a network may have a large number of parameters, in practice
Double_descent
American computer scientist
known for developing the concepts of resource-bounded measure and effective dimension; he has also published research on DNA computing and self-assembly
Jack_Lutz
Method for dimension reduction in statistics
called the effective dimension reducing directions (EDR-directions). The space that is spanned by these vectors is denoted by the effective dimension reducing
Sliced_inverse_regression
Analysis of the dimensions of different physical quantities
engineering and science, dimensional analysis of different physical quantities is the analysis of their physical dimension or quantity dimension, defined as a mathematical
Dimensional_analysis
dimension reduction (SDR) is a paradigm for analyzing data that combines the ideas of dimension reduction with the concept of sufficiency. Dimension reduction
Sufficient dimension reduction
Sufficient_dimension_reduction
industries to aid in achieving high productivity in assembly via the effective dimensional verification of large volume structures, during final assembly.
Design_for_verification
d}).} The Iitaka dimension of L is always less than or equal to the dimension of X. If L is not effective, then its Iitaka dimension is usually defined
Iitaka_dimension
Data warehousing schema
data warehouses and dimensional data marts. The star schema consists of one or more fact tables referencing any number of dimension tables. The star schema
Star_schema
Technique to uniquely identify a video recording
Video fingerprinting or video hashing are a class of dimension reduction techniques in which a system identifies, extracts and then summarizes characteristic
Digital_video_fingerprinting
Theoretical effect in physics
the spectral dimension. The spectral dimension is a measure of the effective dimension of a manifold at different resolution scales. Early numerical simulations
Dynamical dimensional reduction
Dynamical_dimensional_reduction
Generalizations of codimension-1 subvarieties of algebraic varieties
codimension 1. A Riemann surface is a 1-dimensional complex manifold, and so its codimension-1 submanifolds have dimension 0. The group of divisors on a compact
Divisor_(algebraic_geometry)
Method of approximating the properties of a composite material
In materials science, effective medium approximations (EMA) or effective medium theory (EMT) pertain to analytical or theoretical modeling that describes
Effective medium approximations
Effective_medium_approximations
Wood that has been processed into beams and planks
English is wood that has been processed into uniform and useful sizes (dimensional lumber), including beams and planks or boards. Lumber is mainly used
Lumber
Surface on an antenna in electromagnetics
radiation, through which the major part of the radiation passes." The effective area of an antenna is defined as "In a given direction, the ratio of the
Aperture_(antenna)
English cricketer
has been at the club ever since. His bowling has added an extra effective dimension to his play. Between 2000 and 2002 he was vice-captain of the Gloucestershire
Tim_Hancock
2002 video game
X-Men: Next Dimension is a fighting game released in 2002 for the PlayStation 2, Xbox and GameCube video game consoles. It is the third installment in
X-Men:_Next_Dimension
systems, the X-dimension of recorded spot is the effective recorded spot dimension measured in the direction of the recorded line. The effective recorded spot
X-dimension_of_recorded_spot
Operational range in various contexts
nuclear physics research, effective range is a physical parameter in the dimension of length to characterize an effective scattering square well potential
Effective_range
In physics, dimensional reduction refers to the description of a system in D spacetime dimensions in terms of an exact or effective action in fewer than
Dimensional_reduction
Gaussian process pinned at both ends
coarse, high-variance features of the path, which can reduce the effective dimension of some path-dependent integrands, as in option pricing. For the
Brownian_bridge
Physical quantity in soil
proposed for the effective stress. Maurice Biot fully developed the three-dimensional soil consolidation theory, extending the one-dimensional model previously
Effective_stress
Theory of subatomic structure
eleven-dimensional formulation of the heterotic string theories, showing that orbifolds solve the chirality problem. Witten noted that the effective description
String_theory
German mathematician and computer scientist
an active researcher in combinatorics on words, automata theory, effective dimension theory, and algorithmic information theory. He has Erdős Number 2
Ludwig_Staiger
Political party in Poland
to turn desires into deeds, and who want to give deeds the most effective dimension." It declared itself open to everyone who "recognise that there is
Patriotic Movement for National Rebirth
Patriotic_Movement_for_National_Rebirth
Data modeling concept
Dimensional modeling is part of the Business Dimensional Lifecycle methodology developed by Ralph Kimball which includes a set of methods, techniques and
Dimensional_modeling
Optimization algorithm
n-dimensional problems by generalizing the two-dimensional spiral model to an n-dimensional spiral model. There are effective settings for the SPO algorithm: the
Spiral_optimization_algorithm
the on-diagonal element which remains 1). This step reduces the effective dimension of U {\textstyle U} to N − 1 {\textstyle N-1} . U ( N ) ⋅ T ( N
Universal multiport interferometer
Universal_multiport_interferometer
Ratio used in chemistry
In chemistry, the effective molarity (denoted EM) is defined as the ratio between the first-order rate constant of an intramolecular reaction and the
Effective_molarity
Net potential energy encountered in orbital mechanics
exactly like the potential energy of a one-dimensional system: for instance, an energy diagram using the effective potential determines turning points and
Effective_potential
Dimensionality of space at which the character of the phase transition changes
critical dimension is the dimensionality of space at which the character of the phase transition changes. Below the lower critical dimension there is
Critical_dimension
Concept in algebraic geometry
genus. The Kodaira dimension of a curve X is: κ = − ∞ {\displaystyle -\infty } : genus 0 (the projective line P1): KX is not effective, Pd = 0 for all d
Kodaira_dimension
Soviet and Russian tank ammunition
Maraging steel.[citation needed] Country of origin: Soviet Union Projectile dimension: 410 mm 10: 1 L/d Projectile weight (including sabot): 5.67 kg Projectile
125_mm_smoothbore_ammunition
Procedure in mathematics
the straightest path between two points in a curved spacetime. On an n-dimensional Riemannian manifold M {\displaystyle M} , the geodesic equation written
Solving the geodesic equations
Solving_the_geodesic_equations
Scoring guide for assessment
Definitions and examples clarifying each trait or dimension A scale of values for rating each dimension Standards of excellence for specified performance
Rubric_(academic)
2003 film by David Zucker
October 20, 2003, and was released in the United States on October 24, by Dimension Films. The film received mixed reviews from critics, but grossed $220
Scary_Movie_3
Rimless, .30 caliber rifle cartridge
propelling a 150-grain (9.7 g) bullet at over 2,600 ft/s (790 m/s) with an effective range of over 300 yd (270 m). After WW2, US Ordnance authorities working
.300_Savage
Mass of a particle when interacting with other particles
motion for energies near the Fermi level. In two-dimensional electron gases, the cyclotron effective mass is defined only for one magnetic field direction
Effective mass (solid-state physics)
Effective_mass_(solid-state_physics)
Differential geometry technique
reducing the effective dimension of the Lie group G. If this occurs, one goes back to step one, now having a Lie group of one lower dimension to work with
Cartan's_equivalence_method
Dimension of the column space of a matrix
In linear algebra, the rank of a matrix A is the dimension of the vector space generated (or spanned) by its columns. This corresponds to the maximal
Rank_(linear_algebra)
Loss of quantum coherence
that they occupy different lower-dimensional subspaces in the phase space of the joint system. The effective dimensionality of a system's phase space is the
Quantum_decoherence
Dutch political party
"Multidimensional Party Polarization in Europe: Cross-Cutting Divides and Effective Dimensionality". British Journal of Political Science. 55 (24). Cambridge University
Denk_(political_party)
Method for reducing unwanted sound
waveform. Protection of a 1-dimension zone is easier and requires only one or two microphones and speakers to be effective. Several commercial applications
Active_noise_control
is an algebraic variety whose points correspond to effective algebraic cycles of fixed dimension and degree on a given projective space. More precisely
Chow_variety
Invariant of rings and modules
ring. In this case, the depth of a module is related with its projective dimension by the Auslander–Buchsbaum formula. A more elementary property of depth
Depth_(ring_theory)
Japanese anime television series
Super Dimension Cavalry Southern Cross (Japanese: 超時空騎団サザンクロス, Hepburn: Chōjikū Kidan Sazan Kurosu) is a Japanese science fiction mecha anime TV series
Super Dimension Cavalry Southern Cross
Super_Dimension_Cavalry_Southern_Cross
Film by Andrew Douglas
released in the United States on April 15, 2005, by Metro-Goldwyn-Mayer and Dimension Films. Despite negative reviews from critics, with many calling it derivative
The Amityville Horror (2005 film)
The_Amityville_Horror_(2005_film)
American film and television production and distribution company
result, the existing Miramax label Millimeter Films was reconfigured into Dimension Films, and also launched the Miramax Family Films label, designed for
Miramax
Scientific model in solid-state physics
A two-dimensional electron gas (2DEG) is a scientific model in solid-state physics. It is an electron gas that is free to move in two dimensions, but
Two-dimensional_electron_gas
2011 American horror film by Víctor Garcia
The film was produced in a matter of weeks, due to an obligation on Dimension Films' part to release another Hellraiser film or risk losing the rights
Hellraiser:_Revelations
theoretical physics, dimensional deconstruction is a method to construct 4-dimensional theories that behave as higher-dimensional theories in a certain
Dimensional_deconstruction
Indian actor
him greater visibility among pan-India audiences and showcased another dimension of his screen presence with an action-driven ensemble. Starring alongside
Arjun_Chidambaram
Invariant of a quadratic form over a field of characteristic 2
quadratic forms over F2 are isomorphic if and only if they have the same dimension and the same Arf invariant. This fact was essentially known to Leonard
Arf_invariant
Portuguese footballer (born 1985)
Simon, Thomas (12 January 2015). "Cristiano Ronaldo dans la troisième dimension". France Football. Archived from the original on 10 October 2015. Retrieved
Cristiano_Ronaldo
Process used in stage lighting, photography, and television
index (CRI). This dimension, along lines of constant CCT, is sometimes measured in terms of green–magenta balance; this dimension is sometimes referred
Color_correction
Global conflict from 1939 to 1945
Continuum. ISBN 978-0-8264-1350-5. Ch'i, Hsi-Sheng (1992). "The Military Dimension, 1942–1945". In James C. Hsiung; Steven I. Levine (eds.). China's Bitter
World_War_II
2017 paper conceptualizing the transformer-based deep learning architecture
an additional scaling factor that was found to be most effective with respect to the dimension of the key vectors (represented as dk and initially set
Attention_Is_All_You_Need
Academic journal
PMID 38194266. Nguyen LH, Holmes S (20 June 2019). "Ten quick tips for effective dimensionality reduction". PLOS Computational Biology. 15 (6) e1006907. Bibcode:2019PLSCB
PLOS_Computational_Biology
American rock band
rock, with their song "Eight Miles High" (1966) and the albums Fifth Dimension (1966), Younger Than Yesterday (1967), and The Notorious Byrd Brothers
The_Byrds
Posits ability to interpolate within latent manifolds
many high-dimensional data sets that occur in the real world actually lie along low-dimensional latent manifolds inside that high-dimensional space. As
Manifold_hypothesis
Medical condition caused by receiving too little or too many nutrients
(IMMPaCt) program. It tested children for malnutrition by conducting a three-dimensional scan, using an iPad or a tablet. Its objective was to help doctors provide
Malnutrition
American engineering standard
manufactured parts. Effective application of Geometric dimensioning and tolerancing (GD&T) allows for parts to be verified by dimensional measurements, gauging
ASME_Y14.5
Three-dimensional (3D) tactics analysis, is a tactical analysis methodology under the concept of terrorist tactics, techniques, and procedures, and is
3D_tactics_analysis
About polynomials in several variables
that states that if a polynomial function from an n {\displaystyle n} -dimensional space to itself has a Jacobian determinant that is a non-zero constant
Jacobian_conjecture
Concept in algebraic geometry
replacement for the older terms "arithmetically effective" (Zariski 1962, definition 7.6) and "numerically effective", as well as for the phrase "numerically
Nef_line_bundle
Chemical compound
herbicide for crabgrass control in turf and ornamental grasses. It is effective on 45 grassy and broadleaf weeds. Dithiopyr inhibits root growth of susceptible
Dithiopyr
British Electronics company
NAD Electronics (New Acoustic Dimension) is a brand name of an electronics firm whose products include home hi-fi amplifiers and related components. In
NAD_Electronics
of these boxes has an effective mass (the number of nodes in it) which can be used as shown above to measure the fractal dimension of the network. The plot
Fractal_dimension_on_networks
Portuguese football manager (born 1963)
prevention coach. It is crazy. It has brought our work to an incredible dimension. You have to deal with so many people with so different characters and
José_Mourinho
Computer programming assessment type
braces are incorrectly used, or are not included where necessary. The two-dimensional variants require the student to also correctly indent the code instead
Parsons_problem
American film by Alex Proyas
May 10, 1994, and was released in the United States on May 13, 1994, by Dimension Films. The film received positive reviews for its stylized noir aesthetic
The_Crow_(1994_film)
Rate of separation of infinitesimally close trajectories
numerical methods for estimating and computing the Lyapunov dimension there is an effective analytical approach, which is based on the direct Lyapunov
Lyapunov_exponent
Electrically neutral group of two or more atoms
Molecules commonly used as building blocks for organic synthesis have a dimension of a few angstroms (Å) to several dozen Å, or around one billionth of
Molecule
2014 horror film directed by Jon Watts
Kingdom on March 2, 2015, and in the United States on June 17, 2016, by Dimension Films. The film received mixed reviews from critics. Kent McCoy, a real
Clown_(film)
American slasher film
among multiple studios before Miramax Films purchased the rights for its Dimension Films label. Although Craven initially declined the project several times
Scream_(1996_film)
Mecha anime franchise
the main capital ship. This theme began in the original Macross, Super Dimension Fortress Macross. "Overtech" refers to the scientific advances discovered
Macross
Mathematical model combining space and time
that fuses the three dimensions of space and the one dimension of time into a single four-dimensional continuum. Spacetime diagrams are useful in visualizing
Spacetime
Compact astronomical body
1093/mnras/stae1160. Machida, Mami; Matsumoto, Ryoji (2003). "Global Three-Dimensional Magnetohydrodynamic Simulations of Black Hole Accretion Disks: X-Ray
Black_hole
American statistician
includes the development of effective methods for the construction of low-dimensional representations for high-dimensional data problems (multiscale geometric
David_Donoho
in practice. Which Fano varieties are K-stable is well understood in dimension one, two, and three. The notion of K-stability for Fano manifolds was
K-stability_of_Fano_varieties
Neurodevelopmental disorder
conditions. ADHD represents the extreme lower end of the continuous dimensional trait (bell curve) of executive functioning and self-regulation, which
Attention deficit hyperactivity disorder
Attention_deficit_hyperactivity_disorder
American nano-scale physicist
the elastic properties of high-Tc materials, and determined the effective dimensionality of fullerene superconductors via paraconductivity measurements
Alex_Zettl
American horror franchise
release another Friday the 13th collectable until November 2006, when a 3-dimensional movie poster was released. Since 2002, there has been a steady production
Friday_the_13th_(franchise)
Algorithm for modelling sequential data
key size dkey and value size dvalue. The output dimension of an attention head is its head dimension dhead. The attention mechanism requires the following
Transformer_(deep_learning)
Database modeling method
scale out without the need for major redesign. Unlike the star schema (dimensional modelling) and the classical relational model (3NF), data vault and anchor
Data_vault_modeling
American theoretical physicist
profile across the bulk. Integrating over the extra dimension generates an effective four-dimensional potential for the radion that possesses a stable minimum
Walter_D._Goldberger
Breakdown of parity at the quantum level
Axial-Anomaly-Induced Fermion Fractionization and Effective Gauge-Theory Actions in Odd-Dimensional Space-Times and by A. Norman Redlich in the letter
Parity_anomaly
name) is a mystical city located in a dimension that connects to Earth periodically. The Mirror Dimension is a dimension which causes the surroundings to be
Features of the Marvel Cinematic Universe
Features_of_the_Marvel_Cinematic_Universe
Approximate nearest neighbor search algorithm
R-tree, can also become less effective for high-dimensional data, a problem often associated with the curse of dimensionality. Approximate nearest neighbor
Hierarchical navigable small world
Hierarchical_navigable_small_world
Mathematical model of ferromagnetism in statistical mechanics
thus creating the possibility of different structural phases. The two-dimensional square-lattice Ising model is one of the simplest statistical models
Ising_model
Technique in theoretical physics
Instead of having a theory with this dimension being infinite, one changes the theory so that this dimension has a finite length, and may also be periodic
Compactification_(physics)
2002 film by Mark Pellington
irrationality." Horsley argued the film's Mothman arrives from a foreign dimension, but being without "physical existence", it is also a product of the minds
The_Mothman_Prophecies_(film)
Type of natural semiconductor with thicknesses on the atomic scale
A two-dimensional semiconductor (also known as 2D semiconductor) is a type of natural semiconductor with thicknesses on the atomic scale. Geim and Novoselov
Two-dimensional_semiconductor
The dimensional fact model (DFM) is a graphical notation and conceptual framework used in data warehousing to visually design a dimensional model. It
Dimensional_fact_model
2018 film by David Gordon Green
original, another follow-up went into development from former rights holder Dimension Films, but did not come to fruition. As a result, the studio lost the
Halloween_(2018_film)
Imaging device for sound sources
dimension. Challenges arise when dealing with low-frequency issues, particularly those below 300 Hz, as they require large array sizes for effective sound
Acoustic_camera
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EFFECTIVE DIMENSION
EFFECTIVE DIMENSION
EFFECTIVE DIMENSION
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EFFECTIVE DIMENSION
EFFECTIVE DIMENSION
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EFFECTIVE DIMENSION
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