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each and paired
Two poets are paired on each record, in the order given above.
When each number of successes X is paired with its probability of occurrence Af, the set of pairs Af, is a probability function called a binomial distribution.
In the case of LORAN, one station remains constant in each application of the principle, the primary, being paired up separately with two other secondary stations.
The mandolin's paired strings facilitate this technique: the plectrum ( pick ) strikes each of a pair of strings alternately, providing a more full and continuous sound than a single string would.
The paired and replicated chromosomes are called bivalents or tetrads, which have two chromosomes and four chromatids, with one chromosome coming from each parent.
The zygotene stage, also known as zygonema, from Greek words meaning " paired threads ", occurs as the chromosomes approximately line up with each other into homologous chromosome pairs.
By 1925 it was known that protons and electrons had a spin of 1 / 2, and in the Rutherford model of nitrogen-14, 20 of the total 21 nuclear particles should have paired up to cancel each other's spin, and the final odd particle should have left the nucleus with a net spin of 1 / 2.
At the end of each row, the paired ploughs are turned over, so the other can be used.
In this case, each circuit board was paired with a second, placed back to back with a sheet of copper between them.
From this point of view, several common characteristics still support the Articulata concept — segmented body ; paired appendages on each segment ; pairwise arrangement of waste-elimination organs in each segment ; and above all, a rope-ladder-like nervous system based on a double nerve strand lying along the belly.
For each possible pair of candidates, one pairwise count indicates how many voters prefer one of the paired candidates over the other candidate, and another pairwise count indicates how many voters have the opposite preference.
In contexts where a Titan and a Titaness are assigned each of the seven planetary powers, Atlas is paired with Phoebe and governs the moon.
In cartilaginous fishes and teleosts, the heart pumps blood forward through the ventral aorta which splits up in a series of paired aortic arches, each corresponding to a gill arch.
When Muhammad arrived in Medina, he paired off each immigrant ( Muhajir ) with one of the residents of the city ( Ansari ), joining Muhammad ibn Maslamah with Umar making them brothers in faith.
Instead of physically connecting the antennas, data received at each antenna is paired with timing information, usually from a local atomic clock, and then stored for later analysis on magnetic tape or hard disk.
Chromosomal crossover refers to recombination between the paired chromosomes inherited from each of one's parents, generally occurring during meiosis.
It's unfortunate that the acts never paired again on record, as they well-balanced each other's musical genres for a pleasant blend.
The subcaudal scales are single or paired in each row, numbering 83 to 96 in males and 77 to 98 in females.
The prosoma ( cephalothorax ) is divided into three regions, each covered by plates, the large protopeltidium and the smaller, paired, mesopeltidia and metapeltidia.
Small daily changes and noticeable semi-annual changes in the timing of sunsets are driven by the axial tilt of Earth, daily rotation of the Earth, the planet's movement in its annual elliptical orbit around the Sun, and the Earth and Moon's paired revolutions around each other.
Even through the transition to a paired pantheon of male deities matched or " married " to each goddess and during the male-deity-dominated pantheon that arose much later, the mother goddesses persisted into historical times ( such as Hathor and Isis ).
They were paired together online, without knowing each other's true identity, fell in love, met in real life, and decided to continue their romantic relationship, though this is rarely shown.
They were paired together online, without knowing each other's true identity, fell in love, met in real life, and decided to continue their romantic relationship, though this was largely ignored in later stories.

each and vertex
With each vertex we associate certain numerical values, namely the set of positive differences in the parameter T between the vertex and its corresponding forward corner points.
We first define a function b{t} as follows: given the set of squares such that each has three corners on C and vertex at t, b{t} is the corresponding set of positive parametric differences between T and the backward corner points.
In the first case the fixed elements within each pencil are the multiple secant and the line joining the vertex, P, to the intersection of **zg and the plane of the pencil which does not lie on the multiple secant.
In turn from PIE * keu ( b )-, " to bend, turn ".</ ref > is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex.
It is composed of 12 regular pentagonal faces, with three meeting at each vertex, and is represented by the Schläfli symbol
Here, each vertex ( pole ) is associated with a face plane ( polar plane or just polar ) so that the ray from the center to the vertex is perpendicular to the plane, and the product of the distances from the center to each is equal to the square of the radius.
Before beginning the construction, the vertex figure ABCD is obtained by cutting each connected edge at ( in this case ) its midpoint.
* In the plane, each vertex has on average six surrounding triangles.
The set of regions of a map can be represented more abstractly as an undirected graph that has a vertex for each region and an edge for every pair of regions that share a boundary segment.
This graph is planar ( it is important to note that we are talking about the graphs that have some limitations according to the map they are transformed from only ): it can be drawn in the plane without crossings by placing each vertex at an arbitrarily chosen location within the region to which it corresponds, and by drawing the edges as curves that lead without crossing within each region from the vertex location to each shared boundary point of the region.
Rather the form of the argument is generalized to considering configurations, which are connected subgraphs of G with the degree of each vertex ( in G ) specified.
Because G is triangular, the degree of each vertex in a configuration is known, and all edges internal to the configuration are known, the number of vertices in G adjacent to a given configuration is fixed, and they are joined in a cycle.
The Dyson series can be alternately rewritten as a sum over Feynman diagrams, where at each interaction vertex both the energy and momentum are conserved, but where the length of the energy momentum four vector is not equal to the mass.
Each internal line corresponds to a factor of the corresponding virtual particle's propagator ; each vertex where lines meet gives a factor derived from an interaction term in the Lagrangian, and incoming and outgoing lines carry an energy, momentum, and spin.

each and diagonal
Similarities can be seen along the first two rows ; the appearance of specialized characters in each species can be seen in the columns and a diagonal interpretation leads one to Haeckel ’ s idea of recapitulation.
Diagonal functor: The diagonal functor is defined as the functor from D to the functor category D < sup > C </ sup > which sends each object in D to the constant functor at that object.
For the specific game of Othello ( as technically differing from Reversi ), the rules state that the game begins with four disks placed in a square in the middle of the grid, two facing light-up, two pieces with the dark side up, with same-colored disks on a diagonal with each other.
More generally, a piece is stable when, along all four axes ( horizontal, vertical, and each diagonal ), it is in terminal position or if from it along the axis one reaches a terminal disk passing only through disks the same color.
For a diagonal matrix, this is true only if each element of the main diagonal — that is, every eigenvalue of M — is positive.
Lay this ' X ' on top of the two parallel poles, and do a diagonal lashing on each of the four corners of the X.
The bishop has no restrictions in distance for each move, but is limited to diagonal movement.
As a consequence of its diagonal movement, each bishop always remains on either the white or black squares, and so it is also common to refer to them as light-squared or dark-squared bishops.
Because pawns capture diagonally and can be blocked from moving straight forward, opposing pawns often become locked in diagonal pawn chains of two or more pawns of each color, where each player controls squares of one color.
The great king Yu () tried to channel the water out to sea where then emerged from the water a turtle with a curious figure / pattern on its shell ; circular dots of numbers which were arranged in a three by three grid pattern such that the sum of the numbers in each row, column and diagonal was the same: 15, which is also the number of days in each of the 24 cycles of the Chinese solar year.
The common diagonal of the similar rectangles divides each rectangle into two superposable triangles, with two different kinds of stripes.
With A factored as UΣV < sup > T </ sup >, a satisfactory solution uses the Moore-Penrose pseudoinverse, VΣ < sup >+</ sup > U < sup > T </ sup >, where Σ < sup >+</ sup > merely replaces each non-zero diagonal entry with its reciprocal.
The churches are located directly diagonal from each other.
Similarly, each diagonal element of a skew-symmetric matrix must be zero, since each is its own negative.
Separately, since the diagonals AC and BD bisect each other at point E, point E is the midpoint of each diagonal.
The flights of steps display special skill in the deep diagonal binding of each solid step, providing a typically robust engineer's response to the wear of seaboots and waves alike.
In linear algebra, a Toeplitz matrix or diagonal-constant matrix, named after Otto Toeplitz, is a matrix in which each descending diagonal from left to right is constant.
Especially easy are multiplication operators, which are defined as multiplication by ( the values of ) a fixed function – the values of the function at each point correspond to the diagonal entries of a matrix.
* a quadrilateral in which each diagonal bisects two opposite interior angles

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