Richard Askey has written:
'Three notes on orthogonal polynomials' -- subject(s): Orthogonal polynomials
'Recurrence relations, continued fractions, and orthogonal polynomials' -- subject(s): Continued fractions, Distribution (Probability theory), Orthogonal polynomials
'Orthogonal polynomials and special functions' -- subject(s): Orthogonal polynomials, Special Functions
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P. K. Suetin has written:
'Polynomials orthogonal over a region and Bieberbach polynomials' -- subject(s): Orthogonal polynomials
'Series of Faber polynomials' -- subject(s): Polynomials, Series
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In mathematics, Jacobi polynomials (occasionally called hypergeometric polynomials) are a class of classical orthogonal polynomials.
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No this is not the case.
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T. H. Koornwinder has written:
'Jacobi polynomials and their two-variable analysis' -- subject(s): Jacobi polynomials, Orthogonal polynomials
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Carl John Rees has written:
'Elliptic orthogonal polynomials' -- subject(s): Orthogonal Functions
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David Leon Netzorg has written:
'Mechanical quadrature formulas and the distribution of zeros of orthogonal polynomials' -- subject(s): Orthogonal Functions
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Ian Grant Sinclair has written:
'Curve fitting by orthogonal polynomials'
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Izuru Fujiwara has written:
'New aspects in classical dynamics' -- subject(s): Dynamics
'Summation orthogonality of orthogonal polynomials' -- subject(s): Orthogonal Functions
'An integral identity involving classical action' -- subject(s): Definite integrals
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H. N. Mhaskar has written:
'Introduction to the theory of weighted polynomial approximation' -- subject(s): Approximation theory, Orthogonal polynomials
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Yes, there are Chebyshev polynomials of the third and fourth kind, not just the first and second.
The third kind is often denoted Vn (x) and it is
Vn(x)=(1-x)1/2 (1+x)-1/2 and the domain is (-1,1)
Chebychev polynomials of the fourth kind are deonted
wn(x)=(1-x)-1/2 (1+x)1/2
As with other Chebychev polynomials, they are orthogonal.
They are both special cases of Jacobi polynomials.
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He did research in a number of mathematical fields including quadratic forms, elliptic functions, orthogonal polynomials, invariant theory, algebra and number theory.
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Wim Schouten has written:
'Een vak vol boeken' -- subject- s -: Biography, History, Publishers and publishing
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Orthogonal signal space is defined as the set of orthogonal functions, which are complete.
In orthogonal vector space any vector can be represented by orthogonal vectors provided they are complete.Thus, in similar manner any signal can be represented by a set of orthogonal functions which are complete.
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The answer will depend on orthogonal to WHAT!
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a family of curves whose family of orthogonal trajectories is the same as the given family, is called self orthogonal trajectories.
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Orthogonal is a term referring to something containing right angles. An example sentence would be: That big rectangle is orthogonal.
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Self orthogonal trajectories are a family of curves whose family of orthogonal trajectories is the same as the given family. This is a term that is not very widely used.
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what is the prosses to multiply polynomials
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Myron Frederick Rosskopf has written:
'Modern mathematics' -- subject(s): Algebra, Trigonometry
'Some inequalities for non-uniformly bounded ortho-normal polynomials' -- subject(s): Orthogonal Functions
'Mathematics' -- subject(s): Algebra, Geometry
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A matrix A is orthogonal if itstranspose is equal to it inverse. So
AT is the transpose of A and A-1 is the inverse.
We have AT=A-1
So we have :
AAT= I, the identity matrix
Since it is MUCH easier to find a transpose than an inverse, these matrices are easy to compute with. Furthermore, rotation matrices are orthogonal.
The inverse of an orthogonal matrix is also orthogonal which can be easily proved directly from the definition.
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Three of them are "orthogonal", "orthodontist", and "orthopedic",
and "orthogonal" is a very important word in mathematics. For one example, two vectors are orthogonal whenever their dot product is zero.
"Orthogonal" also comes into play in calculus, such as in Fourier Series.
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Orthogonal view is basically seeing something in 2 dimensions that is actually 3 dimensions. The projection lines in these views are orthogonal to the projection plane which causes it to be 2 dimensions.
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Orthogonal view is basically seeing something in 2 dimensions that is actually 3 dimensions. The projection lines in these views are orthogonal to the projection plane which causes it to be 2 dimensions.
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What is an orthogonal line?
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Orthogonal lines are two lines which are perpendicular, i.e. 90 degrees, to each other.
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yes. not sure of the proof though.
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In a plane, each vector has only one orthogonal vector (well, two, if you count the negative of one of them). Are you sure you don't mean the normal vector which is orthogonal but outside the plane (in fact, orthogonal to the plane itself)?
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Reciprocal polynomials come with a number of connections with their original polynomials
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It's only important to learn polynomials if math is going to be your prime area of focus in a job. Otherwise, polynomials are quite useless..
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In algebra polynomials are the equations which can have any number of higher power. Quadratic equations are a type of Polynomials having 2 as the highest power.
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In mathematics, "orthogonal" means perpendicular or independent. In linear algebra, vectors are orthogonal if their dot product is zero, indicating they are at right angles to each other. In statistics, orthogonal variables are uncorrelated, making them useful for multi-variable analysis.
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Not into rational factors.
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Adding and subtracting polynomials is simply the adding and subtracting of their like terms.
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All vectors that are perpendicular (their dot product is zero) are orthogonal vectors.
Orthonormal vectors are orthogonal unit vectors. Vectors are only orthonormal if they are both perpendicular have have a length of 1.
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The sum of two polynomials is always a polynomial. Therefore, it follows that the sum of more than two polynomials is also a polynomial.
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You just multiply the term to the polynomials and you combine lije terms
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One reason is that anything which happens in one of the orthogonal directions has no effect on what happens in another orthogonal direction. Thus, for example, the horizontal component of a force will not have any effect in the vertical direction.
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The first polynomials went as far back as 2000 BC, with the Babylonians.
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