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Statistical measure of association between variables
In statistics, the maximal information coefficient (MIC) is a measure of the strength of the linear or non-linear association between two variables X
Maximal information coefficient
Maximal_information_coefficient
Measure of linear correlation
dependence Correlation ratio Disattenuation Distance correlation Maximal information coefficient Multiple correlation Normally distributed and uncorrelated
Pearson correlation coefficient
Pearson_correlation_coefficient
Measure of inequality of a statistical distribution
income or wealth values are the same. In contrast, a Gini coefficient of 1 (or 100%) reflects maximal inequality among values, where a single individual has
Gini_coefficient
Topics referred to by the same term
Major immunogene complex, gene complex coding immune response Maximal information coefficient, a statistical measure of association between variables Medical
MIC
of vertices. It ranges from 0 for trees to 1 for maximal planar graphs. The meshedness coefficient is used to compare the general cycle structure of
Meshedness_coefficient
Similarity measure for number sequences
Dice-Sørensen coefficient Hamming distance Correlation Jaccard index SimRank Information retrieval Singhal, Amit (2001). "Modern Information Retrieval: A
Cosine_similarity
Relative measure of dispersion expressed as the ratio of standard deviation to the mean
between 0 (no variance) and 1 (maximal relative variance, i.e. σ ≫ μ {\displaystyle \sigma \gg \mu } ). Gini coefficient, 1 2 μ N 2 ∑ i = 1 N ∑ j = 1 N
Coefficient_of_variation
t-distribution Mauchly's sphericity test Maximal ergodic theorem Maximal information coefficient Maximum a posteriori estimation Maximum entropy classifier –
List_of_statistics_articles
Diagram showing the proportion of a receptor bound to a ligand
{\displaystyle n} is the Hill coefficient, and EC 50 {\displaystyle {\text{EC}}_{50}} is the drug concentration that produces a 50% maximal response. Dissociation
Hill_equation_(biochemistry)
Measure of similarity and diversity between sets
independently by Paul Jaccard, originally giving the French name coefficient de communauté (coefficient of community), and independently formulated again by Taffee
Jaccard_index
American computational biologist
geometric group theory. She developed an analytical tool (the maximal information coefficient) that allows users to search complex data sets in an effort
Hilary_Finucane
Soviet rimless intermediate cartridge
a black tip. It has a ballistic coefficient (G7 BC) of approximately 0.180. The rounds are loaded to produce a maximal pressure of 290.00 MPa (42,061 psi)
5.45×39mm
Average uncertainty in variable's states
\{1,...,n\}} . Maximum: H n {\displaystyle \mathrm {H} _{n}} should be maximal if all the outcomes are equally likely i.e. H n ( p 1 , … , p n ) ≤ H n
Entropy_(information_theory)
to show that the complete Noetherian local ring contains a coefficient ring (or coefficient field), meaning a complete discrete valuation ring (or field)
Cohen_structure_theorem
Equation for the force of drag
area, and c d {\displaystyle c_{\rm {d}}} is the drag coefficient – a dimensionless coefficient related to the object's geometry. The equation is attributed
Drag_equation
Metric that measures the distance between two strings of text
coefficient or Tanimoto coefficient Tversky index Overlap coefficient Variational distance Hellinger distance or Bhattacharyya distance Information radius
String_metric
Computational problem in graph theory
it representing its capacity. Assuming a steady state condition, find a maximal flow from one given city to the other. In their book Flows in Networks
Maximum_flow_problem
Unrelated vertices in graphs
called "internally stable sets", of which "stable set" is a shortening. A maximal independent set is an independent set that is not a proper subset of any
Independent set (graph theory)
Independent_set_(graph_theory)
Mathematical logic concept
function which enumerates any maximal recursively enumerable set dominates every general recursive function. There exists maximal recursively enumerable set
Computably_enumerable_set
Type of resistor whose resistance varies with temperature
Negative-temperature-coefficient (NTC) thermistors have less resistance at higher temperatures, while positive-temperature-coefficient (PTC) thermistors
Thermistor
Type of shift register in computing
always connected as an input and output tap respectively. The LFSR is maximal-length if and only if the corresponding feedback polynomial is primitive
Linear-feedback shift register
Linear-feedback_shift_register
Invariant of polynomial roots
for a permutation group G is a polynomial whose coefficients depend polynomially on the coefficients of a given polynomial p and has, roughly speaking
Resolvent_(Galois_theory)
Enzyme kinetics and chemical bonding
produce the 10% and 90% of the maximal response, respectively. Global sensitivity measures such as the Hill coefficient do not characterise the local behaviours
Cooperativity
Lossy compression method for reducing the size of digital images
examining each non-zero AC coefficient x and determining how many zeroes came before the previous AC coefficient. With this information, two symbols are created:
JPEG
Known channel properties of a communication link
46, pp. 902-915, July 1998. M. D. Nisar, W. Utschick and T. Hindelang, Maximally Robust 2-D Channel Estimation for OFDM Systems, IEEE Transactions on Signal
Channel_state_information
solved for. The document, "a rose is a rose is a rose" can therefore be maximally tokenized as follows: (a,rose,is,a,rose,is,a,rose) The set of all contiguous
W-shingling
Signal processing method
FIR filters. It uses an indirect method for finding the optimal filter coefficients. The goal of the algorithm is to minimize the error in the pass and stop
Parks–McClellan filter design algorithm
Parks–McClellan_filter_design_algorithm
Topics referred to by the same term
telecommunication carrier's network Indifference curve, in economics Information coefficient, in economics -ic, a suffix describing oxidation state in the IUPAC
Ic
system equals the rank of the augmented matrix of the system—the system's coefficient matrix with one additional column appended, that column being the column
Independent_equation
Method of analysing a dynamical system
that the reciprocal of the maximal length of the diagonal lines (without LOI) would be an estimator for the positive maximal Lyapunov exponent of the dynamical
Recurrence quantification analysis
Recurrence_quantification_analysis
the downsamplers and upsamplers in the DWT and upsampling the filter coefficients by a factor of 2 ( j − 1 ) {\displaystyle 2^{(j-1)}} in the j {\displaystyle
Stationary_wavelet_transform
Process forming a path from many random steps
maximizing uncertainty (entropy) locally. We could also do it globally – in maximal entropy random walk (MERW) we want all paths to be equally probable, or
Random_walk
Rate of separation of infinitesimally close trajectories
dimensionality of the phase space. It is common to refer to the largest one as the maximal Lyapunov exponent (MLE), because it determines a notion of predictability
Lyapunov_exponent
Infinite sum that is considered independently from any notion of convergence
,} where the a n , {\displaystyle a_{n},} called coefficients, are numbers or, more generally, elements of some ring, and the x n {\displaystyle
Formal_power_series
Area of mathematical analysis
and the Fourier transform, while modern harmonic analysis also studies maximal functions, singular integrals, oscillatory integrals, Fourier multipliers
Harmonic_analysis
Economics theory
after the economists Kenneth Arrow and John W. Pratt, also known as the coefficient of absolute risk aversion, defined as A ( c ) = − u ″ ( c ) u ′ ( c )
Risk_aversion
Error-detecting code for detecting data changes
written in binary as the coefficients; a 3rd-degree polynomial has 4 coefficients (1x3 + 0x2 + 1x + 1). In this case, the coefficients are 1, 0, 1 and 1. The
Cyclic_redundancy_check
Topological group with compact topology
element of K {\displaystyle K} belongs to a maximal torus and that all maximal tori are conjugate. The maximal torus in a compact group plays a role analogous
Compact_group
Polynomial equation of degree two
coefficients of the equation and may be distinguished by calling them the quadratic coefficient, the linear coefficient and the constant coefficient or
Quadratic_equation
Method of chemical analysis
constant F has been evaluated at 708 for maximal current and 607 for average current D is the diffusion coefficient of the depolarizer in the medium (cm2/s)
Polarography
Optical coating that reduces reflection
Filter". visionteksystems.co.uk. Information Display. Society for Information Display. 2006. Krepelka, J. (1992). "Maximally flat antireflection coatings"
Anti-reflective_coating
Greatest common divisor of polynomials
GCD to be the unique monic choice (having leading coefficient 1), but over more general coefficient rings there is no standard choice. Therefore, equalities
Polynomial greatest common divisor
Polynomial_greatest_common_divisor
Measure of a mathematical object studied in the field of algebraic geometry
the maximal length of the chains p 0 ⊂ p 1 ⊂ … ⊂ p d {\displaystyle p_{0}\subset p_{1}\subset \ldots \subset p_{d}} of prime ideals of A. The maximal Krull
Dimension of an algebraic variety
Dimension_of_an_algebraic_variety
Discrete valuation field
with coefficients from F such that the minimum of the valuation of the coefficients is an integer, and such that the valuation of the coefficients tend
Higher_local_field
Spread of wealth in a society
income or wealth values are the same. In contrast, a Gini coefficient of 1 (or 100%) reflects maximal inequality among values, a situation where a single individual
Distribution_of_wealth
convolution inequality Young's inequality for products Hardy–Littlewood maximal inequality Inequality of arithmetic and geometric means Ky Fan inequality
List_of_inequalities
Main group of bicycle riders
introduced different maximal sustainable capacities for each cyclist-agent whose positions are determined by the proportion of their maximal capacities to that
Peloton
Measure of organism response to stimulus
the drug concentration that produces a 50% maximal response and n {\displaystyle n} is the Hill coefficient. E E m a x = [ A ] n EC 50 n + [ A ] n = 1
Dose–response_relationship
Spectral density estimation method
maximum entropy as used in both statistical mechanics and information theory, is maximally non-committal with regard to the unknown values of the autocorrelation
Maximum entropy spectral estimation
Maximum_entropy_spectral_estimation
Airfoil designed primarily to delay the onset of wave drag in the transonic speed range
designed a number of airfoils characterised by elliptical leading edges, maximal thickness located downstream up to 50% chord and a flat upper surface.
Supercritical_airfoil
Statistical principle about ratio of effects to causes
effective actions that deliver a total benefit reasonably close to the maximal possible one. Pareto analysis is a creative way of looking at causes of
Pareto_principle
Orthogonal wavelets
wavelets defining a discrete wavelet transform and characterized by a maximal number of vanishing moments for some given support. With each wavelet type
Daubechies_wavelet
Algebraic structure
the field of fractions of A that is a root of a monic polynomial with coefficients in A, then x is itself an element of A. Many well-studied domains are
Integrally_closed_domain
Algorithmic runtime requirements for matrix multiplication
two square matrices, n {\displaystyle n} is the maximal bit size of the integer matrix coefficients, ω {\displaystyle \omega } denotes the matrix multiplication
Computational complexity of matrix multiplication
Computational_complexity_of_matrix_multiplication
items, with maximal total profit, while obeying that the maximum total weight of the chosen items must not exceed W. Generally, these coefficients are scaled
List_of_knapsack_problems
Behavior of projectiles in flight
coefficient when entering the transonic flight regime around Mach 1.200. Drag coefficientMach number0.10.150.20.250.30.3500.511.522.5Drag coefficientGraphics
External_ballistics
Metric on networks
The rich-club coefficient is a metric on graphs and networks, designed to measure the extent to which well-connected nodes also connect to each other
Rich-club_coefficient
Set of vectors used to define coordinates
in a unique way as a finite linear combination of elements of B. The coefficients of this linear combination are referred to as components or coordinates
Basis_(linear_algebra)
Fourth standardized moment in statistics
{Kurt} [Y]{\big )}.\end{aligned}}} Note that the fourth-power binomial coefficients (1, 4, 6, 4, 1) appear in the above equation. The interpretation of the
Kurtosis
Antihistamine medication
It shows negligible inhibition of the hERG channel (IC50Tooltip half-maximal inhibitory concentration > 30 μM) and no cardiotoxicity has been observed
Cetirizine
Hypercomplex number system
However it is not a maximal order (in the sense of ring theory); there are exactly seven maximal orders containing it. These seven maximal orders are all equivalent
Octonion
Action in learning
believes that elite performance is the product of maximal effort over at least a decade. The maximal effort is described as using deliberate practice in
Practice_(learning_method)
Graph formed by subdivision of triangles
Zhou, Tao; Yan, Gang; Wang, Bing-Hong (2005), "Maximal planar networks with large clustering coefficient and power-law degree distribution", Physical Review
Apollonian_network
Region outside of a rotating black hole's event horizon
produce a more pumpkin-shaped ergosphere.[citation needed] The equatorial (maximal) radius of an ergosphere is the Schwarzschild radius, the radius of a non-rotating
Ergosphere
Mathematical concept in polynomial theory
the resultant of two polynomials is a polynomial expression of their coefficients that is equal to zero if and only if the polynomials have a common root
Resultant
Process of "purifying" entangled quantum states
transforming previously shared, less-entangled pairs into a smaller number of maximally-entangled pairs. The limits for entanglement dilution and distillation
Entanglement_distillation
Inverse of a finite difference
(e.g. digamma). Thus, each maximal vertical strip's principal solution contains no singularities in its respective maximal vertical strip, but contains
Indefinite_sum
Index to measure economic inequality
property of the Theil index which the more popular Gini coefficient does not offer. The Gini coefficient is more intuitive to many people since it is based
Theil_index
Function returning one of only two values
direction. The maximal autocorrelation coefficient (in absolute value) is known as the absolute indicator. If all autocorrelation coefficients are 0 (i.e
Boolean_function
Fixed-value capacitor using ceramic
temperature coefficient. The first letter gives the significant figure of the change in capacitance over temperature (temperature coefficient α) in ppm/K
Ceramic_capacitor
Maximal subgraph whose vertices can reach each other
forest, every component is a tree. In a cluster graph, every component is a maximal clique. These graphs may be produced as the transitive closures of arbitrary
Component_(graph_theory)
for normalization. The purity parameter is related to the coefficients: If only one coefficient is equal to 1, the state is pure. Indeed, the purity is
Purity_(quantum_mechanics)
Machine learning technique
_{j}e^{k_{j}^{T}x+b_{j}}}}e^{-{\frac {1}{2}}\|y-\mu _{i}\|^{2}}\right]} It is trained by maximal likelihood estimation, that is, gradient ascent on f ( y | x ) {\displaystyle
Mixture_of_experts
Mathematical construct in computer algebra
corresponding monomial and coefficient are respectively called the leading term, leading monomial and leading coefficient and denoted, in this article
Gröbner_basis
Grouping a set of objects by similarity
is defined as the ratio between the minimal inter-cluster distance to maximal intra-cluster distance. For each cluster partition, the Dunn index can
Cluster_analysis
Indian statistician (1915–1996)
similarity between two multinomial distributions, known as the Bhattacharyya coefficient, based on which he defined a metric, the Bhattacharyya distance. This
Anil_Kumar_Bhattacharyya
from equilibrium by imposing a fission action once the assembly reaches a maximal size, Nmax, usually in the order of NG. This splitting action produces
Gard_model
Formal power series with coefficients tending to 0
subring of a formal power series ring that consists of power series whose coefficients approach zero as degree goes to infinity. Over a non-archimedean complete
Restricted_power_series
Process for reducing noise
cursor). The main cursor coefficient controls the nominal amplitude of the bit and is always positive (as a negative coefficient would invert the bit value)
Emphasis_(telecommunications)
Probability distribution
+ 1)p is an integer. In this case, there are two values for which f is maximal: (n + 1)p and (n + 1)p − 1. M is the most probable outcome (that is, the
Binomial_distribution
Probability distribution
distribution becomes equal to the uniform distribution, since uncertainty is maximal when all possible events are equiprobable. For α or β approaching zero
Beta_distribution
Field extension that is not algebraic
is, an element that is not a root of any univariate polynomial with coefficients in K {\displaystyle K} . In other words, a transcendental extension is
Transcendental_extension
Probability distribution with more than one mode
random variables and 0 < α < 1 {\displaystyle 0<\alpha <1} is a mixture coefficient. Mixtures with two distinct components need not be bimodal and two component
Multimodal_distribution
Statistical model for a binary dependent variable
logit regression) estimates the parameters of a logistic model (the coefficients in the linear or non linear combinations). In binary logistic regression
Logistic_regression
Authenticated encryption mode for block ciphers
the maximal packet size is 210 bytes, the authentication decryption function should be invoked no more than 211 times; if t = 64 and the maximal packet
Galois/Counter_Mode
the rate at which entropy is generated, and that the proportionality coefficient is the temperature of the ambient heat reservoir. In the literature,
Gouy–Stodola_theorem
Concept in genealogy and genetics
segment has the same ancestral origin in these individuals the segment is maximal, that is, it is delimited at both ends by ancestral recombination events
Identity_by_descent
Barbiturate general anesthetic
since vessels supplying ischaemic areas of the brain would already be maximally dilated because of the metabolic demand. Sodium thiopental is used intravenously
Sodium_thiopental
Anatomical-based coding system
Score-Code is on a scale of one to six, one being a minor injury and six being maximal (currently untreatable). An AIS-Code of 6 is not the arbitrary code for
Abbreviated_Injury_Scale
Analytical methodology in spectroscopy
active site is crucial to creating catalysts with optimal efficiency and maximal product yield. In situ reactor cell designs typically are incapable of
Operando_spectroscopy
Algebraic structure
not strictly contained in any proper ideal is called maximal. An ideal m {\displaystyle m} is maximal if and only if R / m {\displaystyle R/m} is a field
Commutative_ring
Medical condition
(September 1999). "Altered arterial concentrations of placental hormones during maximal placental growth in a model of placental insufficiency". The Journal of
Intrauterine growth restriction
Intrauterine_growth_restriction
Probability distribution
Specifically, the Gini coefficient is twice the area between the Lorenz curve and the equidistribution line. The Gini coefficient for the Pareto distribution
Pareto_distribution
Generalized alphabetical order
Lexicographic optimization – an algorithmic problem of finding a lexicographically maximal element. Lexicographic order topology on the unit square Lexicographic
Lexicographic_order
248-dimensional exceptional simple Lie group
other information is given), which is simply connected and has trivial outer automorphism group. The split form, EVIII (or E8(8)), which has maximal compact
E8_(mathematics)
Type of analog linear filter in electronics
Bessel filter is a type of analog linear filter with a maximally flat group delay (i.e., maximally linear phase response), which preserves the wave shape
Bessel_filter
Chemical compound with formula NaCl
builders monitor the salt concentrations on surfaces during construction. Maximal salt concentrations on surfaces are dependent on the authority and application
Sodium_chloride
Lattice network
MacLaurin series). This is described as a maximally flat characteristic when as many as possible of the coefficients of ω in the power series equate to zero
Lattice_delay_network
Generating polynomial of the number of ways to place non-attacking rooks on a chessboard
zeroes of the rook polynomial of a board provide valuable information about its coefficients, i.e., the number of non-attacking placements of k rooks.
Rook_polynomial
greater than 1 in Pascal's triangle? Sister Beiter conjecture: the maximal coefficient of a ternary cyclotomic polynomial is bounded by 2 / 3 {\displaystyle
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
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MAXIMAL INFORMATION-COEFFICIENT
MAXIMAL INFORMATION-COEFFICIENT
MAXIMAL INFORMATION-COEFFICIENT
MAXIMAL INFORMATION-COEFFICIENT
MAXIMAL INFORMATION-COEFFICIENT
MAXIMAL INFORMATION-COEFFICIENT
MAXIMAL INFORMATION-COEFFICIENT
MAXIMAL INFORMATION-COEFFICIENT
MAXIMAL INFORMATION-COEFFICIENT
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