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* Any square matrix with unit Euclidean norm is the average of two unitary matrices.
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Any and square
Any flat-bed press capable of pressing a specimen 22 inches square may be used as an alternative.
Any version of Snakes and Ladders can be represented exactly as an absorbing Markov chain, since from any square the odds of moving to any other square are fixed and independent of any previous game history.
Any area on a sphere, totaling the square of its radius and observed from its center, subtends precisely one steradian.
Any square diagonal matrix is also a symmetric matrix.
Any square, rectangle, isosceles trapezoid, or antiparallelogram is cyclic.
Any square matrix can be viewed as the adjacency matrix of a weighted directed graph, with representing the weight of the arc from vertex i to vertex j.
Any of the 100 squares in the superimposed 10 x 10 grid can be accurately described using a digit from 0-9 ( with 0 0 being the bottom left square and 9 9 being the top right square ).
Any expression containing a radical, whether it is a square root, a cube root, or a higher root, is called a radical expression.
( Any number of additional bishops of either color on the same color of square due to underpromotion do not affect the situation.
Any geometry found inside the square representing the Manhattan distance from the corner undergoes an additional check to see if the same geometry lies outside the quarter-circle radius representing the Euclidean distance.
Any real square matrix A may be decomposed as
If the operator is originally given by a square matrix M, then its Jordan normal form is also called the Jordan normal form of M. Any square matrix has a Jordan normal form if the field of coefficients is extended to one containing all the eigenvalues of the matrix.
Any square matrix can trivially be considered a block diagonal matrix with only one block.
Any square that is not empty is filled with one of the following configurations:
Any symmetric real matrix A has an eigendecomposition of the form QEQ < sup > T </ sup > where E is a diagonal matrix containing the eigenvalues of A, and Q is an orthonormal square matrix containing the eigenvectors.
Any inner square can be identified by two numbers on these two sides, one being vertically below the inner
Any square can be inscribed in a circle whose center is the barycenter of the square.
Any problem which features a pawn moving from its starting square to promotion in the course of the solution is now said to demonstrate the Excelsior theme.
Any and matrix
* Any ring of matrices with coefficients in a commutative ring R forms an R-algebra under matrix addition and multiplication.
Any linear combination of the column vectors of a matrix A can be written as the product of A with a column vector:
Any n × n permutation matrix can be constructed as a product of no more than n − 1 transpositions.
Any orthogonal matrix of size n × n can be constructed as a product of at most n such reflections.
Any rotation matrix of size n × n can be constructed as a product of at most n ( n − 1 )/ 2 such rotations.
Any invertible matrix can be uniquely represented according to the polar decomposition as the product of a unitary matrix and a hermitian matrix with positive eigenvalues.
Any n × n matrix A of the form
To show that U ( n ) is connected, recall that any unitary matrix A can be diagonalized by another unitary matrix S. Any diagonal unitary matrix must have complex numbers of absolute value 1 on the main diagonal.
Any n × n real symmetric matrix A determines a quadratic form q < sub > A </ sub > in n variables by the formula
Any symmetric matrix A can be transformed into a diagonal matrix
Any solution of the above set of equations following the constraints for is defined as the factors, and as the loading matrix.
Any and with
Any posse riding down the street to demand Blue Throat's surrender would be wiped out with one deadly burst of fire.
Any abilities I may have were achieved in their present shape from experience in sharing in the growth and control of my business, coupled with raising my family.
Any attempt to reconcile this statement of the central issue in the campaign of 1956 with the nature of the man who could not conceive it as the central issue will at least resolve our confusions about the chaotic and misleading results of the earnestness of both doctors and President in a situation which should never have arisen.
Any claimant whose claim is denied, or is approved for less than the full amount of such claim, shall be entitled, under such regulations as the Commission may prescribe, to a hearing before the Commission, or its duly authorized representatives, with respect to such claim.
Any irregularity on the piston heads will make it impossible, with normal means, to determine the final combustion chamber volume because the volume displaced by the piston heads cannot be readily computed.
Any reputable French interne can supply you with a dozen similar instances, and I'll presently recount a case out of my own personal experience, but, for the moment, let's resume our catalogue.
Any of the antithyroid drugs, of either type, if given in large enough doses for a long period of time will cause goitre, owing to inhibition of thyroid hormone synthesis, with production of hypothyroidism.
Any adjustments which are made, Mr. Grenier said earlier this month, will appear on the balance of the tax bill since most of the town's taxpayers take the option of paying quarterly with the balance due next year.
Any shareholder of any of these funds who finds a mistake in his account certainly should get in touch with the bank.
Any musician playing Beethoven here, where Beethoven was born, is likely to examine his own interpretations with special care.
Most of the C code being written nowadays is based on ANSI C. Any program written only in standard C and without any hardware dependent assumptions is virtually guaranteed to compile correctly on any platform with a conforming C implementation.
Any company incorporating Bluetooth wireless technology into products, using the technology to offer goods and services or simply re-branding a product with Bluetooth technology must become a member of the Bluetooth SIG.
Any codex of Bede's Easter cycle is normally found together with a codex of his " De Temporum Ratione ".
Love and Erlandson continued to pursue with the band, and released the single " Be A Man "— an outtake from the Celebrity Skin sessions — for the soundtrack of the Oliver Stone film Any Given Sunday ( 1999 ).
Any differential area with normal vector of a given internal surface area, bounding a portion of the body, experiences a contact force arising from the contact between both portions of the body on each side of, and it is given by
# Any collection of closed subsets of X with the finite intersection property has nonempty intersection.
Any season ticket holder could put themselves forward for election, with a certain number of nominations, and votes were cast by all season ticket holders over the age of 18.
Any pellets which are too small to be finished granules of couscous and fall through the sieve will be again rolled and sprinkled with dry semolina and rolled into pellets.
Any successes that the Nationalists did make, however, were met with constant political and military upheavals.
Any piece of DNA with the point centromere DNA sequence on it will typically form a centomere if present in the appropriate species.
# Any experience which is inconsistent with the organization of the structure of the self may be perceived as a threat, and the more of these perceptions there are, the more rigidly the self structure is organized to maintain itself.
Any rational number with a denominator whose only prime factors are 2 and / or 5 may be precisely expressed as a decimal fraction and has a finite decimal expansion.
Any units of angular measure can be used for declination, but it is customarily measured in the degrees ( ° ), minutes ( ' ), and seconds ( " ) of sexagesimal measure, with 90 ° equivalent to circle.
Any ellipse can be obtained by rotation and translation of a canonical ellipse with the proper semi-diameters.
0.650 seconds.