A matrix can have a considerable effect on the way a chemical analysis is conducted and the quality of its results.

The primary metal is called the base, the matrix, or the solvent.

Steel is an example of an interstitial alloy, because the very small carbon atoms fit into interstices of the iron matrix.

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.

During this operation, each column is multiplied by the known matrix that for the 128 bit key is

If there are proteins left in the shell matrix, it is also possible that they can trigger an allergic ( asthmatic ) attack.

The outer surface of an agate, freed from its matrix, is often pitted and rough, apparently in consequence of the removal of the original coating.

The fundamental unit of the aorta is the elastic lamella, which consists of smooth muscle and elastic matrix.

Standard addition can be applied to most analytical techniques and is used instead of a calibration curve to solve the matrix effect problem.

* Pyrolysis – the majority of the matrix constituents is removed

* Use of a chemical modifier in order to stabilize the analyte to a pyrolysis temperature that is sufficient to remove the majority of the matrix components ;

Another source of background absorption, particularly in ET AAS, is scattering of the primary radiation at particles that are generated in the atomization stage, when the matrix could not be removed sufficiently in the pyrolysis stage.

The osteiod seam is a narrow region of newly formed organic matrix, not yet mineralized, located on the surface of a bone.

The majority of bone is made of the bone matrix.

Bone is formed by the hardening of this matrix entrapping the cells.

The matrix is initially laid down as unmineralised osteoid ( manufactured by osteoblasts ).

The organic part of matrix is mainly composed of Type I collagen.

One of the main things that distinguishes the matrix of a bone from that of another cell is that the matrix in bone is hard.

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.

AES operates on a 4 × 4 column-major order matrix of bytes, termed the state, although some versions of Rijndael have a larger block size and have additional columns in the state.

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.

All but the dot matrix printer rely on the use of formed characters, letterforms that represent each of the characters that the printer was capable of printing.

In the general sense many printers rely on a matrix of pixels, or dots, that together form the larger image.

The formation of a relatively rigid but flexible matrix from egg white provides an important component in baking cakes, and also underpins many desserts based on meringue.

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.

When we make one solvent immobile ( by adsorption on a solid support matrix ) and another mobile it results in most common applications of chromatography.

This tradition dates back to the program timing matrix on the MIT Whirlwind, first described in 1947.

where J denotes the Jacobian matrix of partial derivatives of ƒ and is the induced norm on the matrix.

:: < nowiki > the use of row vectors for point coordinates and that the matrix is written on the right .< nowiki ></ nowiki >

Devices with many switches ( such as a computer keyboard ) usually arrange these switches in a scan matrix, with the individual switches on the intersections of x and y lines.

His work was a key aspect of Hermann Weyl and John von Neumann's work on the mathematical equivalence of Werner Heisenberg's matrix mechanics and Erwin Schrödinger's wave equation and his namesake Hilbert space plays an important part in quantum theory.

The transform is sometimes denoted by the symbol, as in or or < ref group =" note "> As a linear transformation on a finite-dimensional vector space, the DFT expression can also be written in terms of a DFT matrix ; when scaled appropriately it becomes a unitary matrix and the X < sub > k </ sub > can thus be viewed as coefficients of x in an orthonormal basis .</ ref >

Logical matrix | Logical matrices of the Bell number | 52 equivalence relations on a 5-element set ( Colored fields, including those in light gray, stand for ones ; white fields for zeros.

The Edelman algorithm works equally well for sparse and non-sparse data, since it is based on the compressibility ( rank deficiency ) of the Fourier matrix itself rather than the compressibility ( sparsity ) of the data.

For some actions, such as attacks, the number located on the matrix represents a number the acting player must roll.

If the 3 generations are then put in a 3x3 hermitian matrix with certain additions for the diagonal elements then these matrices form an exceptional ( grassman -) Jordan algebra, which has the symmetry group of one of the exceptional Lie groups ( F < sub > 4 </ sub >, E < sub > 6 </ sub >, E < sub > 7 </ sub > or E < sub > 8 </ sub >) depending on the details.

While some identical types are clearly used on other pages, other variations, subjected to detailed image analysis, suggested that they could not have been produced from the same matrix.

They have one-piece plastic keytop / switch plungers which press down on a membrane to actuate a contact in an electrical switch matrix.

For example, the proof that the column rank of a matrix over a field equals its row rank yields for matrices over division rings only that the left column rank equals its right row rank: it does not make sense to speak about the rank of a matrix over a division ring.

The three elementary row operations used in the Gaussian elimination ( multiplying rows, switching rows, and adding multiples of rows to other rows ) amount to multiplying the original matrix with invertible matrices from the left.

Through application of elementary row operations and the Gaussian elimination algorithm, the left block of B can be reduced to the identity matrix I, which leaves A < sup >− 1 </ sup > in the right block of B.

Spinor spaces were represented as left ideals of a matrix algebra in 1930, by G. Juvet and by Fritz Sauter.

Proteins, the extracellular matrix, and critical structures such as blood vessels and nerves are all unaffected and left healthy by this treatment.

The kth leading principal minor of a matrix M is the determinant of its upper left k by k sub-matrix.

In linear algebra, the trace of an n-by-n square matrix A is defined to be the sum of the elements on the main diagonal ( the diagonal from the upper left to the lower right ) of A, i. e.,

where C is the covariance matrix of X and tr refers to the trace of a matrix — that is, to the sum of the elements on its main diagonal ( from upper left to lower right ).

Upper image: Inmac ink ribbon Cartridge ( electronics ) | cartridge with black ink for Dot matrix printerLower image: Inked and folded, the ribbon is pulled into the cartridge by the roller mechanism to the left.

The left null space of a matrix A consists of all vectors x such that x < sup > T </ sup > A = 0 < sup > T </ sup >, where T denotes the transpose of a column vector.

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.

A 3 dimensional vertex may be transformed by augmenting an extra variable ( known as a " homogeneous variable ") and left multiplying the resulting 4-component vertex by a 4 x 4 transformation matrix.

If we interpret the object as the left module, then this matrix category becomes a subcategory of the category of left modules over.

One simple case to study is when the R matrix has an equal probability to go one unit to the left or to the right, describing a particle which has a constant rate of random walking.

For a particle which has equal amplitude to move left and right, the Hermitian matrix H is zero except for nearest neighbors, where it has the value c. If the coefficient is everywhere constant, the condition that H is Hermitian demands that the amplitude to move to the left is the complex conjugate of the amplitude to move to the right.

The extra surround channel is matrix encoded onto the discrete left surround and right surround channels of the 5. 1 mix, much like the front center channel on Dolby Pro Logic encoded stereo soundtracks.

For a matrix A, the column space, row space, null space, and left null space are sometimes referred to as the four fundamental subspaces.

The infinite general linear group or stable general linear group is the direct limit of the inclusions GL ( n, F ) → GL ( n + 1, F ) as the upper left block matrix.

The left multiplication of a matrix A with a scalar λ gives another matrix λA of the same size as A.