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DIRECTIONAL COMPONENT-ANALYSIS

  • Principal component analysis
  • Method of data analysis

    Principal component analysis (PCA) is a linear dimensionality reduction technique with applications in exploratory data analysis, visualization and data

    Principal component analysis

    Principal component analysis

    Principal_component_analysis

  • Directional component analysis
  • Statistical method for analysing climate data

    Directional component analysis (DCA) is a statistical method used in climate science for identifying representative patterns of variability in space-time

    Directional component analysis

    Directional_component_analysis

  • DCA
  • Topics referred to by the same term

    amplifier Direct coupling analysis, a method for analyzing sequence data in computational biology Directional component analysis, a multivariate statistical

    DCA

    DCA

  • Climate ensemble
  • Set of different models of the climate system

    analyze climate ensembles, such as Principal component analysis, Anova and Directional component analysis. Ensemble forecasting Ensemble (fluid mechanics)

    Climate ensemble

    Climate_ensemble

  • Hopsan
  • Ssimulation environment for fluid and mechatronic systems

    and vehicle dynamics. It uses bi-directional delay lines (or transmission line elements) to connect different components. The development on Hopsan first

    Hopsan

    Hopsan

    Hopsan

  • Spatial relation
  • Relative location of objects in space

    a Directional relations can again be differentiated into external directional relations and internal directional relations. An internal directional relation

    Spatial relation

    Spatial_relation

  • Spatial analysis
  • Techniques to study geometric data

    (Principal Component Analysis), the Chi-Square distance (Correspondence Analysis) or the Generalized Mahalanobis distance (Discriminant Analysis) are among

    Spatial analysis

    Spatial analysis

    Spatial_analysis

  • Technical analysis
  • Security analysis methodology

    In finance, technical analysis is an analysis methodology for analysing and forecasting the direction of prices through the study of past market data

    Technical analysis

    Technical_analysis

  • Direction cosine
  • Cosines of the angles between a vector and the coordinate axes

    In analytic geometry, the direction cosines (or directional cosines) of a vector are the cosines of the angles between the vector and the three positive

    Direction cosine

    Direction_cosine

  • Gradient
  • Multivariate derivative (mathematics)

    gradient is the rate of increase in that direction, the greatest absolute directional derivative. Further, a point where the gradient is the zero vector is

    Gradient

    Gradient

    Gradient

  • Cohen's h
  • Measure of distance between two proportions

    {\displaystyle h=\varphi _{1}-\varphi _{2}.} This is also sometimes called "directional h" because, in addition to showing the magnitude of the difference, it

    Cohen's h

    Cohen's_h

  • Distributed-element circuit
  • Transmission line-based electrical circuit

    Circuits built from these components include filters, power dividers, directional couplers, and circulators. Distributed-element circuits were studied

    Distributed-element circuit

    Distributed-element circuit

    Distributed-element_circuit

  • Sensitivity analysis
  • Study of uncertainty in the output of a mathematical model or system

    parameter space. By utilizing the concepts of directional variograms and covariograms, variogram analysis of response surfaces (VARS) addresses this weakness

    Sensitivity analysis

    Sensitivity_analysis

  • Flux
  • Mathematical concept applicable to physics

    scalar quantity, defined as the surface integral of the perpendicular component of a vector field over a surface. The word flux comes from Latin: fluxus

    Flux

    Flux

  • Hydraulic machinery
  • Type of machine that uses liquid fluid power to perform work

    compensators in the directional valves. Hydraulically controlled LS pump. Load sensing with up-stream compensator for each connected directional valve. Hydraulically

    Hydraulic machinery

    Hydraulic machinery

    Hydraulic_machinery

  • Generalizations of the derivative
  • Fundamental construction of differential calculus

    derivative makes a choice for taking directional derivatives of vector fields along curves. This extends the directional derivative of scalar functions to

    Generalizations of the derivative

    Generalizations_of_the_derivative

  • Radiation pattern
  • Directional variation in strength of radio waves

    antenna radiation pattern (or antenna pattern or far-field pattern) is the directional (angular) dependence of the field strength (sometimes also the phase)

    Radiation pattern

    Radiation pattern

    Radiation_pattern

  • Stabilizer (aeronautics)
  • Aircraft component

    movable control surfaces, that provides longitudinal (pitch) and/or directional (yaw) stability and control. A stabilizer can feature a fixed or adjustable

    Stabilizer (aeronautics)

    Stabilizer (aeronautics)

    Stabilizer_(aeronautics)

  • Derivative (multivariable calculus)
  • Type of derivative in mathematics

    f=r\cos \theta \sin \theta } .) Even the existence and linearity of all directional derivatives at a point is not sufficient for differentiability; the essential

    Derivative (multivariable calculus)

    Derivative_(multivariable_calculus)

  • Bloodstain pattern analysis
  • Forensic method

    have had little impact on the use of bloodstain analysis in courts. Blood is composed of three components suspended in plasma: erythrocytes (red blood cells)

    Bloodstain pattern analysis

    Bloodstain pattern analysis

    Bloodstain_pattern_analysis

  • Waveguide filter
  • Electronic filter that is constructed with waveguide technology

    than to filter signals. Such devices include impedance matching components, directional couplers, and diplexers. These devices frequently take on the form

    Waveguide filter

    Waveguide filter

    Waveguide_filter

  • Filter bank
  • Tool for digital signal processing

    filter bank is called analysis (meaning analysis of the signal in terms of its components in each sub-band); the output of analysis is referred to as a

    Filter bank

    Filter bank

    Filter_bank

  • AudioQuest
  • American company specializing in audio equipment

    corporate literature, AudioQuest claims that their Ethernet cables are directional. This is a claim that goes against the Ethernet standard IEEE 802.3.

    AudioQuest

    AudioQuest

  • Software testing
  • Checking software against expectations

    malfunction. Software may lack proper support for reading or writing bi-directional text. Software may display images with text that was not localized. Localized

    Software testing

    Software testing

    Software_testing

  • Covariant derivative
  • Specification of a derivative along a tangent vector of a manifold

    system "keeping it parallel" amounts to keeping the components constant. This ordinary directional derivative on Euclidean space is the first example of

    Covariant derivative

    Covariant_derivative

  • Partial discharge
  • Localized dielectric breakdown under high voltage stress

    antenna mounted on insulating spacers in the surrounding metalwork. Directional Coupler detection picks up the signals emanating from a partial discharge

    Partial discharge

    Partial_discharge

  • Divergence
  • Vector operator in vector calculus

    or component, so x2 refers to the second component, and not the quantity x squared. The index variable i is used to refer to an arbitrary component, such

    Divergence

    Divergence

    Divergence

  • Head-directionality parameter
  • Proposed parameter in linguistics

    In linguistics, head directionality is a proposed parameter that classifies languages according to whether they are head-initial (the head of a phrase

    Head-directionality parameter

    Head-directionality_parameter

  • Von Mises–Fisher distribution
  • Probability distribution on a hyper-sphere of arbitrary dimension

    In directional statistics, the von Mises–Fisher distribution (named after Richard von Mises and Ronald Fisher), is a probability distribution on the (

    Von Mises–Fisher distribution

    Von_Mises–Fisher_distribution

  • Surveillance tools
  • or "bugs", tiny, hidden microphone and short-range radio transmitter Directional microphones Smart glasses, and other wearable technologies Primarily

    Surveillance tools

    Surveillance_tools

  • Multirate filter bank and multidimensional directional filter banks
  • principles and applications of Multirate filter banks and Multidimensional Directional filter banks. Linear time-invariant systems typically operate at a single

    Multirate filter bank and multidimensional directional filter banks

    Multirate_filter_bank_and_multidimensional_directional_filter_banks

  • Curl (mathematics)
  • Circulation density in a vector field

    through its components along various axes passing through the point: if u ^ {\displaystyle \mathbf {\hat {u}} } is any unit vector, the component of the curl

    Curl (mathematics)

    Curl (mathematics)

    Curl_(mathematics)

  • Antenna (radio)
  • Device that transmits and receives radio waves

    preferentially in a particular direction (directional, or high-gain, or "beam" antennas). An antenna may include components not connected to the transmitter,

    Antenna (radio)

    Antenna (radio)

    Antenna_(radio)

  • Chain rule
  • Formula in calculus

    total derivative, which is a linear transformation that captures all directional derivatives in a single formula. Consider differentiable functions f :

    Chain rule

    Chain_rule

  • Tracking
  • Topics referred to by the same term

    tree-like carbonized patterns (electrical treeing) appear on an insulator Directional stability, the tendency of a vehicle (typically referring to a watercraft)

    Tracking

    Tracking

  • Partial derivative
  • Derivative of a function with multiple variables

    fact, the last equality shows that the partial derivative is just the directional derivative where the direction is the i {\displaystyle i} -th standard

    Partial derivative

    Partial_derivative

  • Helmholtz decomposition
  • Certain vector fields are the sum of an irrotational and a solenoidal vector field

    the curl-free component of a vector field as the longitudinal component and the divergence-free component as the transverse component. This terminology

    Helmholtz decomposition

    Helmholtz_decomposition

  • Differential (mathematics)
  • Mathematical notion of infinitesimal difference

    that x j ( p ) {\displaystyle x_{j}(p)} is the j {\displaystyle j} -th component of p ∈ R n {\displaystyle p\in \mathbb {R} ^{n}} ). Then the differentials

    Differential (mathematics)

    Differential_(mathematics)

  • Jacobian matrix and determinant
  • Matrix of partial derivatives of a vector-valued function

    matrix is square, that is, if the number of variables equals the number of components of function values, then its determinant is called the Jacobian determinant

    Jacobian matrix and determinant

    Jacobian_matrix_and_determinant

  • Effect size
  • Statistical measure of the magnitude of a phenomenon

    is referred to as estimation statistics. Effect size is an essential component in the evaluation of the strength of a statistical claim, and it is the

    Effect size

    Effect_size

  • Surface integral
  • Integration over a non-flat region in 3D space

    along S, that is, if v has both a tangential and a normal component, then only the normal component contributes to the flux. Based on this reasoning, to find

    Surface integral

    Surface integral

    Surface_integral

  • List of numerical analysis topics
  • Partial least squares — statistical techniques similar to principal components analysis Non-linear iterative partial least squares (NIPLS) Mathematical programming

    List of numerical analysis topics

    List_of_numerical_analysis_topics

  • Network science
  • Academic field

    exists a path from any node to any other, ignoring directionality of the edges. Strongly Connected Component: A collection of nodes in which there exists a

    Network science

    Network science

    Network_science

  • Radiosity (radiometry)
  • Physical quantity in radiometry

    transmitted component of the radiosity of the surface For an opaque surface, the transmitted component of radiosity Je,tr vanishes and only two components remain:

    Radiosity (radiometry)

    Radiosity_(radiometry)

  • Aircraft flight dynamics
  • Science of air vehicle orientation and control in three dimensions

    stick free static longitudinal stability, static lateral stability, directional stability, oscillatory stability, and spiral stability. An aircraft in

    Aircraft flight dynamics

    Aircraft flight dynamics

    Aircraft_flight_dynamics

  • Dutch roll
  • Aircraft motion combining rolling and yawing

    aircraft design, Dutch roll results from relatively weaker positive directional stability as opposed to positive lateral stability. When an aircraft

    Dutch roll

    Dutch roll

    Dutch_roll

  • Digital signal processing
  • Mathematical signal manipulation by computers

    magnitude of each frequency component squared. The most common purpose for analysis of signals in the frequency domain is analysis of signal properties. The

    Digital signal processing

    Digital_signal_processing

  • Tensor
  • Algebraic object with geometric applications

    contravariant components, which are known as tensor fields in the modern sense. In the 20th century, the subject came to be known as tensor analysis. It achieved

    Tensor

    Tensor

    Tensor

  • Wavelet for multidimensional signals analysis
  • signal analysis. With further analysis it is seen that these complex wavelets are oriented. This sort of orientation helps to resolve the directional ambiguity

    Wavelet for multidimensional signals analysis

    Wavelet_for_multidimensional_signals_analysis

  • Hi-C (genomic analysis technique)
  • Genomic analysis technique

    (A) and inactive (B) chromatin compartments is based on principal component analysis, first established by Lieberman-Aiden et al. in 2009. Their approach

    Hi-C (genomic analysis technique)

    Hi-C (genomic analysis technique)

    Hi-C_(genomic_analysis_technique)

  • Hessian matrix
  • Matrix of second derivatives

    of as an array of m {\displaystyle m} Hessian matrices, one for each component of f {\displaystyle \mathbf {f} } : H ( f ) = ( H ( f 1 ) , H ( f 2 )

    Hessian matrix

    Hessian_matrix

  • Rule-based DFM analysis for direct metal laser sintering
  • Rule based DFM analysis for direct metal laser sintering. Direct metal laser sintering (DMLS) is one type of additive manufacturing process that allows

    Rule-based DFM analysis for direct metal laser sintering

    Rule-based_DFM_analysis_for_direct_metal_laser_sintering

  • Path analysis (statistics)
  • Statistical term

    to any form of multiple regression analysis, factor analysis, canonical correlation analysis, discriminant analysis, as well as more general families of

    Path analysis (statistics)

    Path_analysis_(statistics)

  • Vector calculus identities
  • Mathematical identities

    )\mathbf {T} } where A ⋅ ∇ {\displaystyle \mathbf {A} \cdot \nabla } is the directional derivative in the direction of A {\displaystyle \mathbf {A} } multiplied

    Vector calculus identities

    Vector_calculus_identities

  • List of statistics articles
  • ANCOVA – redirects to Analysis of covariance Anderson–Darling test ANOVA ANOVA on ranks ANOVA–simultaneous component analysis Anomaly detection Anomaly

    List of statistics articles

    List_of_statistics_articles

  • Loudspeaker measurement
  • Quantifying the behaviour of loudspeakers

    transducers, have a higher level of distortion than other audio system components used in playback or sound reinforcement. One way to test a loudspeaker

    Loudspeaker measurement

    Loudspeaker measurement

    Loudspeaker_measurement

  • Northrop Tacit Blue
  • Experimental 1980s USAF aircraft

    control system to help stabilize the aircraft about its longitudinal and directional axes. The aircraft made its first successful flight on February 5, 1982

    Northrop Tacit Blue

    Northrop Tacit Blue

    Northrop_Tacit_Blue

  • Writing system
  • Convention of symbols representing language

    rightward order, as all horizontal scripts sequence rows from top to bottom Directionality How individual lines are read – whether starting from the left or right

    Writing system

    Writing_system

  • Fractional-order integrator
  • FOPIDs. Fractional-order integrators and differentiators are the main component of FOPIDs. The differintegral operator, a D t q ( f ( x ) ) {\displaystyle

    Fractional-order integrator

    Fractional-order_integrator

  • Wind shear
  • Difference in wind speed or direction over a short distance

    spreading out near ground level from the parent thunderstorm, both speed and directional wind shear can result at the leading edge of the three-dimensional boundary

    Wind shear

    Wind shear

    Wind_shear

  • Limit of a function
  • Point to which functions converge in analysis

    mathematics, the limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input which

    Limit of a function

    Limit_of_a_function

  • Compressed sensing
  • Signal processing technique

    structures. Recent progress on this problem involves using an iteratively directional TV refinement for CS reconstruction. This method would have 2 stages:

    Compressed sensing

    Compressed_sensing

  • Semiotics
  • Study of signs

    tool for structural analysis. It explores how the meanings of linguistic and non-linguistic texts are shaped by their components and what roles specific

    Semiotics

    Semiotics

  • Piezoelectricity
  • Electric charge generated in certain solids due to mechanical stress

    extraction of lead-free piezoceramic components has not grown to a significant scale at this time, but from early analysis, experts encourage caution when

    Piezoelectricity

    Piezoelectricity

    Piezoelectricity

  • Command and control
  • Military exercise of authority by a commanding officer over assigned forces

    staff are a group of officers and enlisted personnel that provides a bi-directional flow of information between a commanding officer and subordinate military

    Command and control

    Command and control

    Command_and_control

  • Multivariate normal distribution
  • Generalization of the one-dimensional normal distribution to higher dimensions

    be k-variate normally distributed if every linear combination of its k components has a univariate normal distribution. Its importance derives mainly from

    Multivariate normal distribution

    Multivariate normal distribution

    Multivariate_normal_distribution

  • DNA origami
  • Folding of DNA to create two- and three-dimensional shapes at the nanoscale

    creating dynamic DNA origami machines exist, such as designing a directional component and using brownian motion to drive rotational movement of structures

    DNA origami

    DNA origami

    DNA_origami

  • Geometric calculus
  • Infinitesimal calculus on functions defined on a geometric algebra

    {\displaystyle F} be a multivector-valued function of a vector. The directional derivative of F {\displaystyle F} along b {\displaystyle b} at a {\displaystyle

    Geometric calculus

    Geometric_calculus

  • Stokes' theorem
  • Theorem in vector calculus

    {\displaystyle \gamma } divides R 2 {\displaystyle \mathbb {R} ^{2}} into two components, a compact one and another that is non-compact. Let D {\displaystyle D}

    Stokes' theorem

    Stokes' theorem

    Stokes'_theorem

  • Differential geometry
  • Branch of mathematics

    all possess natural analogues in Riemannian geometry. The notion of a directional derivative of a function from multivariable calculus is extended to the

    Differential geometry

    Differential geometry

    Differential_geometry

  • Ecosystem
  • Community of living organisms together with the nonliving components of their environment

    organisms in interaction with their environment, where the biotic and abiotic components are linked together through nutrient cycles and energy flows. Ecosystems

    Ecosystem

    Ecosystem

    Ecosystem

  • Central limit theorem for directional statistics
  • finite mean and variance, will be approximately normally distributed. Directional statistics is the subdiscipline of statistics that deals with directions

    Central limit theorem for directional statistics

    Central_limit_theorem_for_directional_statistics

  • Topology
  • Branch of mathematics

    Haldane, F. D. M.; Raghu, S. (10 January 2008). "Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry"

    Topology

    Topology

    Topology

  • Chu–Harrington limit
  • Lower bound on the quality factor of small radio antennae

    ISBN 978-0521895842. Chu, L. J. (December 1948). "Physical limitations of omni-directional antennas" (PDF). Journal of Applied Physics. 19 (12): 1163–1175. Bibcode:1948JAP

    Chu–Harrington limit

    Chu–Harrington_limit

  • Shading
  • Depicting depth with levels of darkness

    amount of ambient light it can reflect. This produces diffused, non-directional lighting throughout the scene, casting no clear shadows, but with enclosed

    Shading

    Shading

    Shading

  • Exergy
  • Maximum energy available for use

    diffuse component generally varies with frequency, being highest in the ultraviolet region. The dependence of the exergy content on directional distribution

    Exergy

    Exergy

  • Dogs in the Chernobyl exclusion zone
  • components analysis (PCA)—split into PC1 (measuring variation within all dogs sampled) and PC2 (measuring variation within Chernobyl). The analysis of

    Dogs in the Chernobyl exclusion zone

    Dogs in the Chernobyl exclusion zone

    Dogs_in_the_Chernobyl_exclusion_zone

  • List of abbreviations in oil and gas exploration and production
  • condensate production CONDE – condensate analysis report CONDR – continuous directional log CORAN – core analysis report CORE – core report CORG – corgun[check

    List of abbreviations in oil and gas exploration and production

    List_of_abbreviations_in_oil_and_gas_exploration_and_production

  • Data-flow diagram
  • Graphical representation of the "flow" of data through an information system

    information (material). The arrow shows the flow direction (it can also be bi-directional if the information to/from the entity is logically dependent—e.g. question

    Data-flow diagram

    Data-flow_diagram

  • Lists of integrals
  • of a complicated function can be found by differentiating its simpler component functions, integration does not, so tables of known integrals are often

    Lists of integrals

    Lists_of_integrals

  • Africanized bee
  • Hybrid species of bee

    behaviors between different species of honey bees are the result of a directional selection that acts upon several foraging behavior traits as a common

    Africanized bee

    Africanized bee

    Africanized_bee

  • David Glawe
  • American government official (born 1970)

    1970) was the Under Secretary of Homeland Security for Intelligence and Analysis from January 2017 to May 2020 and is currently the president and CEO of

    David Glawe

    David Glawe

    David_Glawe

  • Green's identities
  • Vector calculus formulas relating the bulk with the boundary of a region

    \partial \mathbf {n} }\right)\,dS.} In the equation above, ∂φ/∂n is the directional derivative of φ in the direction of the outward pointing surface normal

    Green's identities

    Green's_identities

  • Structure tensor
  • Tensor related to gradients

    component of the tensor, which lacks any directional information (containing an identity matrix E {\displaystyle E} ). To know how much directional information

    Structure tensor

    Structure_tensor

  • Statistical hypothesis test
  • Method of statistical inference

    and are the basis of the Neyman–Pearson lemma. One-tailed directional. A one-tailed directional alternative hypothesis is concerned with the region of rejection

    Statistical hypothesis test

    Statistical_hypothesis_test

  • Measurement while drilling
  • Procedure used in oil well drilling

    Measurement while drilling (MWD) refers to directional-drilling measurements (e.g., for decision support for the wellbore path). Initial attempts to provide

    Measurement while drilling

    Measurement_while_drilling

  • ROHR2
  • Pipe stress analysis software

    module (ROHR2stoss) allows the analysis of dynamic events in the time domain, while taking into account non-linear components such as snubbers or visco dampers

    ROHR2

    ROHR2

  • Intellivision
  • Home video game console

    as a modular home computer with the Master Component priced at US$165 and a soon-to-follow Keyboard Component also at $165 (equivalent to $730 in 2025)

    Intellivision

    Intellivision

    Intellivision

  • Noether's theorem
  • Statement relating differentiable symmetries to conserved quantities

    \mathbf {p} \right)=\mathbf {n} \cdot \mathbf {L} .} In other words, the component of the angular momentum L along the n axis is conserved. And if n is arbitrary

    Noether's theorem

    Noether's theorem

    Noether's_theorem

  • Laplace operator
  • Differential operator in mathematics

    components of the vector field A {\displaystyle \mathbf {A} } , and ∇ 2 {\displaystyle \nabla ^{2}} just on the left of each vector field component is

    Laplace operator

    Laplace_operator

  • Phylogenetics
  • Study of evolutionary relationships between organisms

    tree. An unrooted tree diagram (a network) makes no assumption about directionality of character state transformation, and does not show the origin or "root"

    Phylogenetics

    Phylogenetics

    Phylogenetics

  • Inverse function theorem
  • Theorem in mathematics

    In mathematical analysis, the inverse function theorem gives sufficient conditions for a function to have an inverse function. The essential idea is that

    Inverse function theorem

    Inverse function theorem

    Inverse_function_theorem

  • Cross-lagged panel model
  • Statistical model comparing multiple variables over time

    at two or more different time points. This model aims to estimate the directional effects that one variable has on another at different points in time

    Cross-lagged panel model

    Cross-lagged_panel_model

  • Butler matrix
  • Type of beamforming network

    made to simultaneously produce an omnidirectional beam and multiple directional beams when fed through two Butler matrices back-to-back. Butler matrices

    Butler matrix

    Butler_matrix

  • Darcy's law for multiphase flow
  • progress in upscaling was slow, and it was not until 1990-2000 that directional dependency of relative permeability and need for tensor representation

    Darcy's law for multiphase flow

    Darcy's_law_for_multiphase_flow

  • Career and technical education
  • Educational programs combining academic and technical skills for workforce preparation

    itamae, and cook. Telecommunications technician – tower technician, directional boring, fiber-optic/coaxial, utility pole technician, satellite dish

    Career and technical education

    Career and technical education

    Career_and_technical_education

  • Gradient theorem
  • Evaluates a line integral through a gradient field using the original scalar field

    path-independent. Let v be any nonzero vector in Rn. By the definition of the directional derivative, ∂ f ( x ) ∂ v = lim t → 0 f ( x + t v ) − f ( x ) t = lim

    Gradient theorem

    Gradient_theorem

  • Standing wave ratio
  • Measure used in radio engineering and telecommunications

    frequencies. At lower frequencies, such lines are impractically long. Directional couplers can be used at HF through microwave frequencies. Some are a

    Standing wave ratio

    Standing wave ratio

    Standing_wave_ratio

  • Pyroclastic flow
  • Fast-moving current of hot gas and volcanic matter that moves away from a volcano

    The denser components of pyroclastic currents are what is specifically meant when referring to pyroclastic flow, whereas the lighter components of pyroclastic

    Pyroclastic flow

    Pyroclastic flow

    Pyroclastic_flow

  • Ricci calculus
  • Tensor index notation for tensor-based calculations

    century. The basis of modern tensor analysis was developed by Bernhard Riemann in a paper from 1861. A component of a tensor is a real number that is

    Ricci calculus

    Ricci_calculus

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