Any-square-matrix-can-be-viewed-as-the-adjacency-m

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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 matrix with unit Euclidean norm is the average of two unitary matrices.

Any square diagonal matrix is also a symmetric matrix.

Any square, rectangle, isosceles trapezoid, or antiparallelogram is cyclic.

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 can

He merely said, `` Any good decorator these days can make you a tasteful home ''.

Any alteration of one of these factors is distortion, although we generally use that word only for effects so pronounced that they can be stated quantitatively on the basis of standard tests.

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 needy family living in San Francisco can obtain toys by writing to Christmas Toys, 676 Howard street, San Francisco 5, and listing the parent's name and address and the age and sex of each child in the family between the ages of 1 and 12.

Any breach of these laws is a criminal offence and can lead to fine of up to £ 5, 000 or six months in prison.

Any use of antibiotics can increase selective pressure in a population of bacteria to allow the resistant bacteria to thrive and the susceptible bacteria to die off.

* Any ring A can be considered as a Z-algebra in a unique way.

Any of these body styles can optionally incorporate a " cutaway ".

Any Latin-American country can join the 1980 Montevideo Treaty.

Any given bookmaker will weight their odds so that no one customer can cover all outcomes at a profit against their books.

Any node in the data structure can be reached by starting at root node and repeatedly following references to either the left or right child.

Any Banach algebra ( whether it has an identity element or not ) can be embedded isometrically into a unital Banach algebra so as to form a closed ideal of.

Any of these ways can be criticized for ...

* Any locally compact Hausdorff space can be turned into a compact space by adding a single point to it, by means of Alexandroff one-point compactification.

Any Sangiovese-based wine made according to the Chianti guidelines from these vineyards can be labelled and marked under the basic Chianti DOCG should the producer wish to use the designation.

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 convex polyhedron can be distorted into a canonical form, in which a midsphere ( or intersphere ) exists tangent to every edge, such that the average position of these points is the center of the sphere, and this form is unique up to congruences.

Any person who uses the Spanish title of " Doctor " ( or " Dr .") without being included in this Government database can be prosecuted for fraud.

Any player on the kicking team behind the kicker, and including the kicker, can recover the kick.

Any sound that can be sampled can be used.

Any ellipse can be obtained by rotation and translation of a canonical ellipse with the proper semi-diameters.

# Any real number can be added to both sides.

# Any real number can be subtracted from both sides.

# Any real number can be multiplied to both sides.

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