In the end, while logged into the matrix, Case catches a glimpse of himself, his dead girlfriend Linda Lee, and Neuromancer.

For the basic Case V, the frequency dominance matrix is translated into proportions and interfaced with the standard scores.

Case: Given positive ( or more generally irreducible non-negative matrix ) A, the Perron-Frobenius eigenvector is the only ( up to multiplication by constant ) non-negative eigenvector for A.

Case: Given a positive ( or more generally irreducible non-negative matrix ) A, for all non-negative non-zero vectors x and f ( x ) as the minimum value of < sub > i </ sub > / x < sub > i </ sub > taken over all those i such that x < sub > i </ sub > ≠ 0, then f is a real valued function whose maximum is the Perron – Frobenius eigenvalue r.

Case: Given positive ( or more generally primitive ) matrix A, and r its Perron-Frobenius eigenvalue, then:

Case: The Perron projection of an irreducible non-negative square matrix is a positive matrix.

Case: The peripheral projection of an irreducible non-negative square matrix is a non-negative matrix with a positive diagonal.

One can estimate a normal-ogive latent trait model by factor-analyzing a matrix of tetrachoric correlations between items.

In general, to compute the number of parameters, you count the number of entries above the diagonal in the matrix, i. e. for n trait values per site, and then add n-1 for the equilibrium frequencies, and subtract 1 because is fixed.

In linear algebra, the determinant is a value associated with a square matrix.

A geometric interpretation can be given to the value of the determinant of a square matrix with real entries: the absolute value of the determinant gives the scale factor by which area or volume is multiplied under the associated linear transformation, while its sign indicates whether the transformation preserves orientation.

* Porphyry ( geology ), an igneous rock with large crystals in a fine-grained matrix, or associated mineral deposit

The ( purely ) quadratic form associated with a real matrix M is the function Q from to such that for all x.

More commonly, these sediments lose their original structure through the mixture processes associated to the subglacial transport and they solely contribute to form the more or less uniform matrix of the till.

( 1996 ), Lyn polypeptides are associated with tyrosine kinase activity in the nuclear matrix.

The null space, the row space, the column space, and the left null space of A are the four fundamental subspaces associated to the matrix A.

The matrix A is called the observable associated to the physical quantity.

The projective linear group PGL ( n, F ) and the projective special linear group PSL ( n, F ) are the quotients of GL ( n, F ) and SL ( n, F ) by their centers ( which consist of the multiples of the identity matrix therein ); they are the induced action on the associated projective space.

By our assumption, the matrix associated to a list of intervals will remain essentially unchanged from one time step to the next.

The color of a gluon is similarly given by which corresponds to the particular Gell-Mann matrix it is associated with.

By the finite-dimensional spectral theorem, such operators can be associated with an orthonormal basis of the underlying space in which the operator is represented as a diagonal matrix with entries in the real numbers.

A stationary probability vector is defined as a vector that does not change under application of the transition matrix ; that is, it is defined as a left eigenvector of the probability matrix, associated with eigenvalue 1:

In linear algebra, every square matrix is associated with a characteristic polynomial.

; twos in: the quadratic form associated to a symmetric matrix with integer coefficients

; twos out: a polynomial with integer coefficients ( so the associated symmetric matrix may have half-integer coefficients off the diagonal )

The complement, C, of a minor, M, of a square matrix, A, is formed by the determinant of the matrix A from which all the rows and columns associated with M have been removed.

The " Q " system's revolution was to bind the challenges of missile guidance ( and associated equations of motion ) in the matrix Q.

It can be shown that once is large enough ( i. e. a sufficient number of electronic states is considered ) this matrix is diagonal with the diagonal elements equal to where are the Berry phases associated with the loop for the adiabatic electronic state.

The second proof looks at the homogeneous system associated with an matrix of rank and shows explicitly that there exist a set of linearly independent solutions that span the null space of.

Just as non-degenerate real conics can be classified by the discriminant of their imaginary part, considered as a quadratic form in ( the determinant of the matrix of the associated symmetric form ), a conic is degenerate if and only if the discriminant of the homogeneous quadratic form in is zero, where the affine equation

In the < tt > SubBytes </ tt > step, each byte in the state matrix is replaced with a < tt > SubByte </ tt > using an 8-bit substitution box, the Rijndael S-box.

* Any ring of matrices with coefficients in a commutative ring R forms an R-algebra under matrix addition and multiplication.

The neutral charge and lower degree of chemical complexity of agarose make it less likely to interact with biomolecules, and, therefore, agarose has become the preferred matrix for work with proteins and nucleic acids.

Initially, BASIC concentrated on supporting straightforward mathematical work, with matrix arithmetic support from its initial implementation as a batch language and full string functionality being added by 1965.

Woven bone is weaker, with a smaller number of randomly oriented collagen fibers, but forms quickly ; it is for this appearance of the fibrous matrix that the bone is termed woven.

For a finite-dimensional vector space, using a fixed orthonormal basis, the inner product can be written as a matrix multiplication of a row vector with a column vector:

then performs a complex conjugation, and then a matrix transpose, one ends up with the ket

In an N-dimensional Hilbert space, can be written as an N × 1 column vector, and then A is an N × N matrix with complex entries.

* The set of all real or complex n-by-n matrices becomes a unital Banach algebra if we equip it with a sub-multiplicative matrix norm.

This is an example of a wide-carriage dot matrix printer, designed for paper 14 inches wide, shown with legal paper loaded ( 8. 5 " x 14 ").

Once the price of inkjet printers dropped to the point where they were competitive with dot matrix printers, dot matrix printers began to fall out of favor for general use.

Because far less motion was involved than in a conventional dot matrix printer, these printers were very fast compared to dot matrix printers and were competitive in speed with formed-character line printers while also being able to print dot matrix graphics.

I want to see institutions like Throop turn out perhaps ninety-nine of every hundred students as men who are to do given pieces of industrial work better than any one else can do them ; I want to see those men do the kind of work that is now being done on the Panama Canal and on the great irrigation projects in the interior of this country — and the one-hundredth man I want to see with the kind of cultural scientific training that will make him and his fellows the matrix out of which you can occasionally develop a man like your great astronomer, George Ellery Hale.

A molecule with a high affinity for the chromatography matrix ( the displacer ) competes effectively for binding sites, and thus displace all molecules with lesser affinities.

If the condition number is close to one, the matrix is well conditioned which means its inverse can be computed with good accuracy.

This line of research began with Werner Heisenberg's matrix mechanics and in a more mathematically developed form with Pascual Jordan around 1933.

Geometrically, such a matrix is always the composition of a rotation with a scaling, and in particular preserves angles.

A modern scientific calculator with a dot matrix LCD display

Commonly, the same laptop would be offered with an assortment of display options at increasing price points: ( active or passive ) monochrome, passive color, or active matrix color ( TFT ).