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Page "Earth Simulator" ¶ 9
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Each and VU
Each CPU consists of a 4-way super-scalar unit ( SU ), a vector unit ( VU ), and main memory access control unit on a single LSI chip.

Each and has
Each religion has its own tenets ''.
Each area has its own historical interests with which much can be done.
Each die has probability Af of producing an ace ; ;
Each teacher has in his classroom a metal file, equipped with a lock, which is used to store cumulative record folders.
Each has its peculiar style.
Each man can identify himself with the history and the death of Jesus Christ because Jesus Christ has identified himself with human history and human death, coming as the head of a new humanity.
Each egg has a large yolk sac and the larva feeds on this while it develops inside the egg, emerging fully formed as a juvenile salamander.
Each carbon atom has 4 bonds ( either C-H or C-C bonds ), and each hydrogen atom is joined to a carbon atom ( H-C bonds ).
Each bead and each wire has the same value and used in this way it can represent numbers up to 100.
Each element has a specific set of chemical properties as a consequence of the number of electrons present in the neutral atom, which is Z ( the atomic number ).
Each commercial brand of mouthwash has different ingredients.
Each element has at least one isotope with an unstable nucleus that can undergo radioactive decay.
Each church has its own doctrine and liturgy, based in most cases on that of the Church of England ; and each church has its own legislative process and overall episcopal polity, under the leadership of a local primate.
Each wave state has a single discrete spin ( spin up or spin down ).
Each atom has, in general, many orbitals associated with each value of n ; these orbitals together are sometimes called electron shells.
Each abalone species has a typical number of holes in the selenizone which remain open.
Each carbon atom in the hexagonal cycle has four electrons to share.
Each of these hymns has eight four-line stanzas and is written in strict iambic dimeter ( that is 2 x 2 iambs ).
Each ASU campus has an RHA that operates independently of each other.
Each ' soul ' will last as long as it has members, potentially hundreds of years.
* Each housing unit has living space that includes individual bedrooms, a common area, kitchen, and two bathrooms.
Each adrenal gland has two distinct structures, the outer adrenal cortex and the inner medulla, both of which produce hormones.
Each human being has the task to find a balance between these opposing influences, and each is helped in this task by the mediation of the Representative of Humanity, also known as the Christ being, a spiritual entity who stands between and harmonizes the two extremes.
Each special sector has its own law.

Each and 72
Each of the 72 Williams tubes was three inches in diameter.
Each gros being thought of as being composed of 72 grains, whose name is the same as in English.
Each location in the game was based on two stereoscopic sets of photographs, which were processed for more than 72 hours by a " dedicated Pentium tucked away in a dark corner ".
Each solar term is divided into three pentads ( 候 hou ), so there are 72 pentads in a year.
Each of the 72 columns had to be plastered and prepared for four-sided mosaics that wrap around each one.
Each of God's 72 hidden names possesses three letters, in all -- 216 letters.

Each and vector
Each sender has a different, unique vector v chosen from that set, but the construction method of the transmitted vector is identical.
Each vector equation represents three scalar equations.
Each vector equation represents three scalar equations.
Each component can be obtained separately and the results combined to produce a vector result.
Each Pauli matrix is Hermitian, and together with the identity I ( sometimes considered the zeroth Pauli matrix ), the Pauli matrices span the full vector space of 2x2 Hermitian matrices.
Each point, as well, is a variety of database, including the location of the point in the work space and the direction of the vector ( which is what defines the direction of the track ).
Each such vector's magnitude is proportional to how much force a charge at that point would " feel " if it were present and this force would have the same direction as the electric field vector at that point.
Each blue vector indicating the perpendicular displacement from a point on the axis out to the helix, also represents the magnitude and direction of the electric field for an entire plane perpendicular to the axis.
Each is a p-dimensional real vector.
Each weight vector is of the same dimension as the node's input vector.
Each arrow represents the direction of the field vector at that point.
Each move may be represented by a vector.
Each expansion corresponds to a projection of the wave vector onto a basis.
Each codeword vector has an associated sphere of received codeword vectors which are decoded to it and each such sphere must map uniquely onto a codeword.
Each tangent space of an n-dimensional manifold is an n-dimensional vector space.
Presheaves formalise the situation common to the examples above: a presheaf ( of sets ) on a topological space is a structure that associates to each open set U of the space a set F ( U ) of sections on U, and to each open set V included in U a map F ( U ) → F ( V ) giving restrictions of sections over U to V. Each of the examples above defines a presheaf with restrictions of functions, vector fields and sections of a vector bundle having the obvious meaning.
Each processor unit consisted initially of a MIPS R2000 CPU, and later a R3000, connected to a custom vector processor.
Given a set S of matrices, each of which is diagonalizable, and any two of which commute, it is always possible to simultaneously diagonalize all of the elements of S. Equivalently, for any set S of mutually commuting semisimple linear transformations of a finite-dimensional vector space V there exists a basis of V consisting of simultaneous eigenvectors of all elements of S. Each of these common eigenvectors v ∈ V, defines a linear functional on the subalgebra U of End ( V ) generated by the set of endomorphisms S ; this functional is defined as the map which associates to each element of U its eigenvalue on the eigenvector v. This " generalized eigenvalue " is a prototype for the notion of a weight.

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