orthogonal
الزاویہ
definition
adjective
Lanczos was much influenced by Fejér; he learnt from him about Fourier series, orthogonal polynomials, and interpolation.
of or involving right angles; at right angles.
Disciplinary infractions were further summarized by entering the 18 remaining codes into a principal-components analysis using an orthogonal rotation.
(of variates) statistically independent.
example
He studied the problem of orthogonal trajectories, making important contributions by the construction of 'orthogonal' trajectories to families of curves.
Two synchronized video cameras record 'orthogonal' planar views of the fins at 250 images per second.
From these beginnings he moved to prove a number of limit theorems, now known as the Szegö limit theorem, the strong Szegö limit theorem and Szegö's 'orthogonal' polynomials and on the unit circle.
Examples are given which illustrate how Ibrahim applied an 'orthogonal' compression to transform a circle into an ellipse, and an oblique compression to map a hyperbola into a second hyperbola.
The present experiment set out to independently manipulate beliefs and covariation information in an 'orthogonal' design.
Instead of 'orthogonal' geometry, tour guides proudly note that hardly a right-angle is to be found in the extension.
Disciplinary infractions were further summarized by entering the 18 remaining codes into a principal-components analysis using an 'orthogonal' rotation.
Other isolated instances of 'orthogonal' polynomials occurring in the work of various mathematicians is mentioned later.
Proteins and peptides would be more accurately defined in high-dimensional space by 'orthogonal' axes representing truly independent characters.
Bouquet worked on differential geometry, writing on 'orthogonal' surfaces.
A test of the hypothesis that ß 1 = 1 can be constructed from the 'orthogonal' regression estimate and standard error for 1.
The presence of a dicentric chromosome was confirmed by Southern blot analysis of 'orthogonal' field alternating gel electrophoresis gels.
Least square means yield values of the dependent variable for every level of each factor from an 'orthogonal' decomposition of the information.
Taguchi first determines the control factors that go into designing a product, their interdependencies, then generates an 'orthogonal' array specifying the number of experiments required to find the optimal solution.
Rotations and reflections are rigid transformations (given by 'orthogonal' mappings) and clearly transform the centroid in the asserted fashion.
Mathematically speaking, alternate universes are 'orthogonal' ; they're located at right angles to each other.
Gram is best remembered for the Gram-Schmidt orthogonalisation process which constructs an 'orthogonal' set from an independent one.
Participants always sorted on proportion in Experiment 2, with 'orthogonal' or one-dimensional stimulus sets.
In addition to his work on potential theory and 'orthogonal' set of functions he published a short paper on the problem of the maximum value a n of a positive integer belonging to a set of n positive integers whose reciprocals add to 1.
Second, geodesics are circular arcs 'orthogonal' to the unit circle.
We can exploit the fact that the columns of these matrices must be 'orthogonal' to reduce the number of dimensions in which to search.
Mercer was a mathematical analyst of originality and skill; he made noteworthy advances in the theory of integral equations, and especially in the theory of the expansion of arbitrary functions in series of 'orthogonal' functions.
As we have noted above, other contributions by Steinhaus were on 'orthogonal' series, probability theory, real functions and their applications.
His research concentrated on convergence, in particular convergence of series of 'orthogonal' functions.
Lanczos was much influenced by Fejér; he learnt from him about Fourier series, 'orthogonal' polynomials, and interpolation.
His doctoral thesis studied 'orthogonal' systems of functions.
Indeed, for AH and BC to be 'orthogonal' , the ratio (H - A) / (B - C) must be purely imaginary.
The NMI matrix was partitioned into 'orthogonal' patterns of amino acid variability by factor analysis.
As a result, in populations where the two alleles at each locus are not at equal frequency, many of the genetic effects that are 'orthogonal' in our study population are not statistically independent.
Other methods, such as the use of 'orthogonal' functions, may be used for creation of a surface as well.
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