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Dimensionality reduction technique
In statistics, functional correlation is a dimensionality reduction technique used to quantify the correlation and dependence between two variables when
Functional_correlation
Computational quantum mechanical modelling method to investigate electronic structure
Further, the kinetic energy functional of such a system is known exactly. The exchange–correlation part of the total energy functional remains unknown and must
Density_functional_theory
Approximations in density functional theory
Hybrid functionals are a class of approximations to the exchange–correlation energy functional in density functional theory (DFT) that incorporate a portion
Hybrid_functionals
Nonparametric measure of rank correlation
In statistics, Spearman's rank correlation coefficient or Spearman's ρ is a number ranging from -1 to 1 that indicates how strongly two sets of ranks
Spearman's rank correlation coefficient
Spearman's_rank_correlation_coefficient
Measure of linear correlation
In statistics, the Pearson correlation coefficient (PCC), also known as Pearson's r, the Pearson product-moment correlation coefficient (PPMCC), or simply
Pearson correlation coefficient
Pearson_correlation_coefficient
Correlation of a signal with a time-shifted copy of itself, as a function of shift
Autocorrelation, sometimes known as serial correlation in the discrete time case, measures the correlation of a signal with a delayed copy of itself.
Autocorrelation
Statistical relationship
In statistics, correlation is a type of statistical relationship between two random variables or bivariate data. It usually refers to the extent to which
Correlation
Covariance and correlation
In signal processing, cross-correlation is a measure of similarity of two series as a function of the displacement of one relative to the other. This
Cross-correlation
Numerical measure of a statistical relationship between variables
A correlation coefficient is a numerical measure of some type of linear correlation, meaning a linear function between two variables. The variables may
Correlation_coefficient
Optical technique for monitoring brain activity
degree of functional connectivity. Multi-channel fNIRS measurements create a topographical map of neural activation, whereby temporal correlation between
Functional near-infrared spectroscopy
Functional_near-infrared_spectroscopy
Approximations in density functional theory
are a class of approximations to the exchange–correlation (XC) energy functional in density functional theory (DFT) that depend solely upon the value
Local-density_approximation
Programming paradigm based on applying and composing functions
In computer science, functional programming is a programming paradigm where programs are constructed by applying and composing functions. It is a declarative
Functional_programming
DFT methods developed by Donald Truhlar's research group
Minnesota Functionals (Myz) are a group of highly parameterized approximate exchange-correlation energy functionals in density functional theory (DFT)
Minnesota_functionals
Concept in probability theory and statistics
In probability theory and statistics, partial correlation measures the degree of association between two random variables, with the effect of a set of
Partial_correlation
In statistics, scaled correlation is a form of a coefficient of correlation applicable to data that have a temporal component such as time series. It
Scaled_correlation
Large-scale brain network active when not focusing on an external task
structural connections found from diffusion MRI imaging and the functional correlations from resting state fMRI show the highest level of overlap and agreement
Default_mode_network
Substance or treatment of no therapeutic value
[citation needed] Functional imaging upon placebo analgesia suggests links to the activation, and increased functional correlation between this activation
Placebo
Quantum version of the classical action
The effective action also acts as a generating functional for one-particle irreducible correlation functions. The potential component of the effective
Effective_action
Innervated muscle structure involved in reflex actions and proprioception
cellular atlas of the muscle spindle. Regarding the structural-functional correlation; muscle spindle density is not uniform across the musculoskeletal
Muscle_spindle
Expectation value of time-ordered quantum operators
partition functional Z [ J ] {\displaystyle Z[J]} which acts as a generating functional, with J {\displaystyle J} being a source-term, for the correlation functions
Correlation function (quantum field theory)
Correlation_function_(quantum_field_theory)
Statistic comparing ordinal rankings
In statistics, a rank correlation is any of several statistics that measure an ordinal association — the relationship between rankings of different ordinal
Rank_correlation
Method of partitioning data points into groups based on their similarity
partitioning data points into groups based on similarity or dissimilarity. Correlation clustering is a clustering framework in which a set of objects is partitioned
Correlation_clustering
Table listing infrared absorption peaks for various bonds
An infrared spectroscopy correlation table (or table of infrared absorption frequencies) is a list of absorption peaks and frequencies, typically reported
Infrared spectroscopy correlation table
Infrared_spectroscopy_correlation_table
Schrödinger equation of a fictitious system of non-interacting particles
exchange–correlation potential. This term, and the corresponding energy expression, are the only unknowns in the Kohn–Sham approach to density functional theory
Kohn–Sham_equations
One of several types of glands, in humans and other animals, that secrete sweat
(2008). "Integumentary System". DiFiore's Atlas of Histology with Functional Correlations. Lippincott Williams & Wilkins. pp. 212–234. ISBN 9780781770576
Apocrine_sweat_gland
Type of functional magnetic resonance imaging
While functional connectivity can refer to correlations across subjects, runs, blocks, trials, or individual time points, resting state functional connectivity
Resting_state_fMRI
Way of inferring information from cross-covariance matrices
are correlations among the variables, then canonical-correlation analysis will find linear combinations of X and Y that have a maximum correlation with
Canonical_correlation
Quantum-mechanical framework for simulating molecules and solids
addition to the exchange-correlation potential, the exchange-correlation kernel – the functional derivative of the exchange-correlation potential with respect
Time-dependent density functional theory
Time-dependent_density_functional_theory
Structure of muscle tissue
Eroschenko, Victor P (2008). Di Fiore's Atlas of histology: with functional correlations. Philadelphia: Wolters Kluwer Health/Lippincott Williams & Wilkins
Triad_(anatomy)
Statistical measure of association for two binary variables
known as the mean square contingency coefficient or Yule coefficient of correlation and commonly denoted by φ or rφ, is a measure of association between
Phi_coefficient
Tissue made of cube-shaped cells
(2008). "Integumentary System". DiFiore's Atlas of Histology with Functional Correlations. Lippincott Williams & Wilkins. pp. 212–234. ISBN 9780781770576
Stratified cuboidal epithelium
Stratified_cuboidal_epithelium
Statistic for rank correlation
In statistics, the Kendall rank correlation coefficient, commonly referred to as Kendall's τ coefficient (after the Greek letter τ, tau), is a statistic
Kendall rank correlation coefficient
Kendall_rank_correlation_coefficient
texture in order reduce the bandwidth of analysis in order to obtain functional correlation with physical phenomena such as friction, wear, adhesion, etc. For
ISO_16610
In statistics, a measurement of the agreement between two variables
example of the use of the concordance correlation coefficient is in a comparison of analysis method for functional magnetic resonance imaging brain scans
Concordance correlation coefficient
Concordance_correlation_coefficient
Membrane lining body cavities
Victor P. Eroschenko (2008). Di Fiore's atlas of histology with functional correlations. Lippincott Williams & Wilkins. pp. 31–. ISBN 978-0-7817-7057-6
Mesothelium
MRI procedure that measures brain activity by detecting associated changes in blood flow
Functional magnetic resonance imaging or functional MRI (fMRI) measures brain activity by detecting changes associated with blood flow. This technique
Functional magnetic resonance imaging
Functional_magnetic_resonance_imaging
Statistical analysis
PPC is necessary for change detection; although these have high functional correlation with each other, the PPC's mechanistic involvement in change detection
Change_detection
Measure of the joint variability
not necessarily have the same units. In those situations, we use the correlation coefficient, which normalizes the covariance to a value between -1 and
Covariance
Term used to classify the mode of secretion in exocrine glands in the study of histology
ISBN (link) Victor Eroschenko, diFiore's Atlas of Histology with functional correlations, Lippincott Williams & Wilkins, 10th edition, 2005. p. 41 Nair
Holocrine
Statistical measure of the magnitude of a phenomenon
lead to the effect size value. Examples of effect sizes include the correlation between two variables, the regression coefficient in a regression, the
Effect_size
Gland to lubricate the hair and skin
PMID 11385091. Victor Eroschenko, diFiore's Atlas of Histology with functional correlations, Lippincott Williams & Wilkins, 10th edition, 2005. p. 41 Dorland's
Sebaceous_gland
Organic vessel in which an embryo first begins to develop
Central Nervous System of Cartilaginous Fishes: Structure and Functional Correlations. Springer Science & Business Media. ISBN 978-3-642-68923-9. Dawkins
Egg
Sequence of data points over time
auto-correlation and cross-correlation analysis. In the time domain, correlation and analysis can be made in a filter-like manner using scaled correlation
Time_series
Theoretical formalism in condensed matter physics
Hartree-exchange-correlation (Hxc) potential of the Kohn–Sham DFT approach. Indeed, one can see the analogy between the expression relating the functional derivative
Strictly-correlated-electrons density functional theory
Strictly-correlated-electrons_density_functional_theory
Branch of medicine
neurosciences and provided a tool that allowed for lesion, structural, and functional correlations with behavioral dysfunction in living people. Psychology portal
Behavioral_neurology
Measure of covariance of components of a random vector
related to the covariance matrix is the matrix of Pearson product-moment correlation coefficients between each of the random variables in the random vector
Covariance_matrix
emission tomography. Functional connectivity is usually measured during resting state fMRI and is typically analyzed in terms of correlation, coherence, and
Dynamic functional connectivity
Dynamic_functional_connectivity
Indicator for how well data points fit a line or curve
(which includes an intercept), r2 is simply the square of the sample correlation coefficient (r), between the observed outcomes and the observed predictor
Coefficient_of_determination
Nonparametric test of the null hypothesis
measure of rank correlation known as the rank-biserial correlation. Edward Cureton introduced and named the measure. Like other correlational measures, the
Mann–Whitney_U_test
Collection of statistical models
formal analysis in a 1918 article on theoretical population genetics, The Correlation Between Relatives on the Supposition of Mendelian Inheritance. His first
Analysis_of_variance
Muscular organ in the mouth of most vertebrates
Eroschenko, Victor (2000). Di Fiore's atlas of histology with functional correlations (PDF). Lippincott Williams & Wilkins. p. 238. Archived from the
Tongue
Anterior lobe of the pituitary gland
Mariano S. H. di (2013-01-01). DiFiore's Atlas of Histology with Functional Correlations. Lippincott Williams & Wilkins. ISBN 978-1-4511-1341-9. Ikegami
Anterior_pituitary
Statistical transformation
z-transformation) of a Pearson correlation coefficient is its inverse hyperbolic tangent (artanh). When the sample correlation coefficient r is near 1 or
Fisher_transformation
Statistical modeling method
to use an all positive correlations (APC) arrangement of the strongly correlated variables under which pairwise correlations among these variables are
Linear_regression
Generating function for quantum correlation functions
In quantum field theory, partition functions are generating functionals for correlation functions, making them key objects of study in the path integral
Partition function (quantum field theory)
Partition_function_(quantum_field_theory)
Linear regression model with a single explanatory variable
possible. In this case, the slope of the fitted line is equal to the correlation between y and x corrected by the ratio of standard deviations of these
Simple_linear_regression
Information content of biological systems
Christoph; C G, Nitash (2022-05-23). "Emergence of functional information from multivariate correlations". Philosophical Transactions of the Royal Society
Functional_information
Statistic measuring inter-rater agreement for categorical items
unweighted kappa calculation given above. Bangdiwala's B Intraclass correlation Krippendorff's alpha Statistical classification Banerjee, M.; Capozzoli
Cohen's_kappa
Generates a forecast of future values of a time series
distribution Grouped data Dependence Partial correlation Pearson product-moment correlation Rank correlation Kendall's τ Spearman's ρ Scatter plot Graphics
Exponential_smoothing
Statistical hypothesis test
signed-rank test, one can use the rank-biserial correlation. If the test statistic T is reported, the rank correlation r is equal to the test statistic T divided
Wilcoxon_signed-rank_test
Concept in calculus of variations
mathematical analysis, the functional derivative (or variational derivative) relates a change in a functional (a functional in this sense is a function
Functional_derivative
Blood vessel
Eroschenko, Victor P (2008). Di Fiore's Atlas of histology: with functional correlations. Philadelphia: Wolters Kluwer Health/Lippincott Williams & Wilkins
Arcuate_vessels_of_uterus
Layer of adrenal cortex
(Suprarenal) Gland: Cortex and Medula". DiFiore's Atlas of Histology with Functional Correlations (11th ed.). Wolters Kluwer Health. pp. 404–5. ISBN 978-0-7817-7057-6
Zona_reticularis
Diagnostic plot of binary classifier ability
prediction from the real class) and their geometric mean is the Matthews correlation coefficient.[citation needed] Whereas ROC AUC varies between 0 and 1
Receiver operating characteristic
Receiver_operating_characteristic
Method of analysis
the functional holography method presented here. The term “functional” is to indicate that the analysis is in the space of functional correlations that
Functional_holography
Comparison of two distributions
"probability plot correlation coefficient" (PPCC plot) is the correlation coefficient between the paired sample quantiles. The closer the correlation coefficient
Q–Q_plot
Type of statistical measure over subsets of a dataset
distribution Grouped data Dependence Partial correlation Pearson product-moment correlation Rank correlation Kendall's τ Spearman's ρ Scatter plot Graphics
Moving_average
Theory and technique of psychological measurement
relating to measurement theory (e.g., item response theory, intraclass correlation) or specialize as learning and development professionals. The word psychometry
Psychometrics
Quantum-mechanical framework for simulating molecules and solids
1007/BF01330439. S2CID 120921212. Görling, A.; Levy, M. (1993). "Correlation-energy functional and its high-density limit obtained from a coupling-constant
Görling–Levy perturbation theory
Görling–Levy_perturbation_theory
Statistical property
distribution Grouped data Dependence Partial correlation Pearson product-moment correlation Rank correlation Kendall's τ Spearman's ρ Scatter plot Graphics
Standard_error
Statistical test comparing two probability distributions
distribution Grouped data Dependence Partial correlation Pearson product-moment correlation Rank correlation Kendall's τ Spearman's ρ Scatter plot Graphics
Kolmogorov–Smirnov_test
Statistical property
ordinary least squares is inefficient for a different reason: serial correlation. A = σ 2 [ 1 0 0 0 1 0 0 0 1 ] B = σ 2 [ 1 0 0 0 2 0 0 0 3 ] C = σ 2
Homoscedasticity and heteroscedasticity
Homoscedasticity_and_heteroscedasticity
Study of mapping wiring diagrams
routinely non-invasive, typical methods are functional and structural MRI data to measure blood flow (functional) and water diffusivity (structural). Examples
Connectomics
Small sweat-producing tubular skin structures
(2008). "Integumentary System". DiFiore's Atlas of Histology with Functional Correlations. Lippincott Williams & Wilkins. pp. 212–234. ISBN 9780781770576
Sweat_gland
DNA sequences with no known biological function
the genome was functional. The size of genomes in various species was known to vary considerably and there did not seem to be a correlation between genome
Junk_DNA
Tissue lining the surfaces of organs in animals
(2008). "Integumentary System". DiFiore's Atlas of Histology with Functional Correlations. Lippincott Williams & Wilkins. pp. 212–234. ISBN 978-0-7817-7057-6
Epithelium
Term in statistical hypothesis testing
(more data tends to provide more power), and the effect size (effects or correlations that are large relative to the variability of the data tend to provide
Power_(statistics)
Statistical method
can be thought of as a special case of errors-in-variables models. The correlation between a variable and a given factor, called the variable's factor loading
Factor_analysis
Plot using the dispersal of scattered dots to show the relationship between variables
positive correlation between the variables being studied. If the pattern of dots slopes from upper left to lower right, it indicates a negative correlation. A
Scatter_plot
Study of collection and analysis of data
Chi-squared test Correlation Factor analysis Mann–Whitney U Mean square weighted deviation (MSWD) Pearson product-moment correlation coefficient Regression
Statistics
Statistical hypothesis test
distribution Grouped data Dependence Partial correlation Pearson product-moment correlation Rank correlation Kendall's τ Spearman's ρ Scatter plot Graphics
Chi-squared_test
Relative measure of dispersion expressed as the ratio of standard deviation to the mean
Square Deviation (RMSD). While many natural processes indeed show a correlation between the average value and the amount of variation around it, accurate
Coefficient_of_variation
Bias in causal inference
cannot be fully described by correlations or associations alone. The presence of confounders helps explain why correlation does not imply causation, and
Confounding
Type of tissue in the spleen
Mariano S. H. di Fiore (2008). Di Fiore's atlas of histology with functional correlations. Lippincott Williams & Wilkins. p. 208. ISBN 978-0-7817-7057-6
Red_pulp
Enzyme
structure, differences in relation to the cytosolic enzyme, and functional correlations". European Journal of Biochemistry. 153 (1): 13–28. doi:10.1111/j
ALDH2
Class of statistical tests
standardized data against the standard normal distribution. Here the correlation between the sample data and normal quantiles (a measure of the goodness
Normality_test
Table that displays the frequency of variables
the Theory of Contingency and Its Relation to Association and Normal Correlation", part of the Drapers' Company Research Memoirs Biometric Series I published
Contingency_table
Statistical method for handling multiple comparisons
{\displaystyle c(m)=1} Under arbitrary dependence (including the case of negative correlation), c(m) is the harmonic number: c ( m ) = ∑ i = 1 m 1 i {\displaystyle
False_discovery_rate
Japanese biologist
2021 Asian Scientist 100, Asian Scientist Takeichi, M (1977). "Functional correlation between cell adhesive properties and some cell surface proteins"
Masatoshi_Takeichi
Theorem in quantum mechanics
cancel the corrections due to electron correlation. A similar theorem (Janak's theorem) exists in density functional theory (DFT) for relating the exact
Koopmans'_theorem
Type of chart
distribution Grouped data Dependence Partial correlation Pearson product-moment correlation Rank correlation Kendall's τ Spearman's ρ Scatter plot Graphics
Bar_chart
French biochemist
(ii) Partition of aaRSs into two classes based on structural and functional correlation (each class of enzymes targets different chiral centers). (iii)
Dino_Moras
Medical condition
symptoms into clusters or into one general functional somatic disorder given the finding of correlations between symptoms and underlying etiologies.
Functional_somatic_syndrome
Gastrointestinal disorder
Functional dyspepsia (FD) is a common gastrointestinal disorder defined by symptoms arising from the gastroduodenal region in the absence of an underlying
Functional_dyspepsia
Measure of statistical dispersion
distribution Grouped data Dependence Partial correlation Pearson product-moment correlation Rank correlation Kendall's τ Spearman's ρ Scatter plot Graphics
Interquartile_range
Mathematical theorem
The Gaussian correlation inequality (GCI), formerly known as the Gaussian correlation conjecture (GCC), is a mathematical theorem in the fields of mathematical
Gaussian correlation inequality
Gaussian_correlation_inequality
Extensions in cell membrane of muscle fibres
Eroschenko, Victor P (2008). Di Fiore's Atlas of histology: with functional correlations. Philadelphia: Wolters Kluwer Health/Lippincott Williams & Wilkins
T-tubule
Statistical hypothesis test
t_{\text{score}}={\frac {r{\sqrt {n-2}}}{\sqrt {1-r^{2}}}},} where r is the Pearson correlation coefficient. The tscore, intercept can be determined from the tscore
Student's_t-test
Measure of the asymmetry of random variables
distribution Grouped data Dependence Partial correlation Pearson product-moment correlation Rank correlation Kendall's τ Spearman's ρ Scatter plot Graphics
Skewness
Simultaneous observation and analysis of more than one outcome variable
over time. Iconography of correlations consists in replacing a correlation matrix by a diagram where the "remarkable" correlations are represented by a solid
Multivariate_statistics
FUNCTIONAL CORRELATION
FUNCTIONAL CORRELATION
Male
Egyptian
, an Egyptian functionary.
Male
Egyptian
, a great functionary.
Biblical
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Male
Celtic
, great justiciary, or functionary.
Boy/Male
French
Fictional swordsman: (ambitious and filled with religious aspirations) from Alexander Dumas's...
Male
Egyptian
, a high Egyptian functionary.
Boy/Male
English
The fictional character Jorel father of Superman.
Boy/Male
American, Australian, British, Danish, English, Finnish, French, German, Scandinavian
Farmer; The Fictional Character Jorel Father of Superman; Earth Worker
Boy/Male
American, British, English
Mighty Spearman; One who Saves; The Fictional Character Jorel Father of Superman
Boy/Male
English
The fictional character Jorel father of Superman.
Surname or Lastname
English
English : nickname from the animal, Middle English catte ‘cat’. The word is found in similar forms in most European languages from very early times (e.g. Gaelic cath, Slavic kotu). Domestic cats were unknown in Europe in classical times, when weasels fulfilled many of their functions, for example in hunting rodents. They seem to have come from Egypt, where they were regarded as sacred animals.English : from a medieval female personal name, a short form of Catherine.Variant spelling of German and Dutch Katt.
Male
Egyptian
, an Egyptian functionary.
Male
Egyptian
, the son of the functionary Heknofre.
Boy/Male
English
The fictional character Jorel father of Superman.
Boy/Male
Australian, French
Fictional Swordsman; Ambitious and Filled with Religious Aspirations; From Alexander Dumas's Three Musketeers
Male
Egyptian
, Functionary of the Interior.
Boy/Male
Buddhist, Indian, Japanese
Mysterious Function
Boy/Male
American, British, English
Mighty Spearman; The Fictional Character Jorel Father of Superman
Boy/Male
English
Modern. The fictional character Jorel father of Superman.
Boy/Male
American, Australian, British, English, French
Mighty Spearman; The Fictional Character Jorel Father of Superman
FUNCTIONAL CORRELATION
FUNCTIONAL CORRELATION
Boy/Male
English American German Teutonic
noble.
Girl/Female
French
Cheerful.
Boy/Male
Tamil
Loving & nurturing
Boy/Male
African, American, Australian, British, Chinese, Danish, Dutch, English, French, German, Greek, Irish, Jamaican, Latin, Slovenia, Swedish, Swiss
Brave; Of a Man; Warrior; Masculine; Manly
Surname or Lastname
English
English : topographic name for someone who lived by a wych elm, Old English wice, or habitational name from a minor place named with this word.
Surname or Lastname
English
English : unexplained. This surname seems to have a unique origin, in the parish of Featherstone, West Yorkshire.
Boy/Male
Hindu, Indian, Punjabi, Sikh
Associating with Holy Congregation
Male
English
Anglicized form of Welsh Trahaearn, TRAHERNE means "very iron-like."
Boy/Male
Hindu, Indian, Kannada
God
Girl/Female
Latin
Blind.
FUNCTIONAL CORRELATION
FUNCTIONAL CORRELATION
FUNCTIONAL CORRELATION
FUNCTIONAL CORRELATION
FUNCTIONAL CORRELATION
a.
Relatively small; inconsiderable; insignificant; as, a fractional part of the population.
a.
Of or pertaining to fractions or a fraction; constituting a fraction; as, fractional numbers.
n.
The appropriate action of any special organ or part of an animal or vegetable organism; as, the function of the heart or the limbs; the function of leaves, sap, roots, etc.; life is the sum of the functions of the various organs and parts of the body.
a.
Pertaining to, or connected with, a function or duty; official.
v. i.
Alt. of Functionate
a.
Pertaining to, or characterized by, fiction; fictitious; romantic.
v. t.
To supply with an organ or organs having a special function or functions.
a.
Pertaining to the function of an organ or part, or to the functions in general.
n.
A derived function; a function obtained from a given function by a certain algebraic process.
n.
One charged with the performance of a function or office; as, a public functionary; secular functionaries.
n.
A quantity so connected with another quantity, that if any alteration be made in the latter there will be a consequent alteration in the former. Each quantity is said to be a function of the other. Thus, the circumference of a circle is a function of the diameter. If x be a symbol to which different numerical values can be assigned, such expressions as x2, 3x, Log. x, and Sin. x, are all functions of x.
a.
Relating to friction; moved by friction; produced by friction; as, frictional electricity.
n.
Paper fractional currency.
a.
Fractional.
n.
An angle upon which the value of some function depends; -- a term used more especially in connection with elliptic functions.
a.
Capable of, or pertaining to, flection or inflection.
v. i.
To execute or perform a function; to transact one's regular or appointed business.
n.
The office, duties, or functions of a minister, servant, or agent; ecclesiastical, executive, or ambassadorial function or profession.
pl.
of Functionary
adv.
In a functional manner; as regards normal or appropriate activity.