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Here a vertex with a positive angular deficit represents a concentration of positive Gaussian curvature, whereas a vertex with a negative angular deficit represents a concentration of negative Gaussian curvature.
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Here and vertex
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.
Here t < sub > w </ sub >( G ) is the number of arborescences, which are trees directed towards the root at a fixed vertex w in G. The number t < sub > w </ sub >( G ) can be computed as a determinant, by the version of the matrix tree theorem for directed graphs.
Here the non-collinearity condition means that a vertex should not lie on a non-adjacent edge, but it is normal to work with the stronger requirement that no two edges cross (; ; ).
Here and with
Here there may be an analogy with cancer: we can detect cancers by their rapidly accelerating growth, determinable only when related to the more normal rate of healthy growth.
Here, as in all sectors of the economy, quality and justice are both dependent on the right of the individual to deal directly with his employer if he so chooses.
But this we know: Here is a great life that in every area of American politics gives the American people occasion for pride and that has invested the democratic process with the most decent qualities of honor, decency, and self-respect.
Here he put a small man, whose missing hands might have left his function doubtful, until comparison with the first sketches showed that when the artist came back to the beginning, this was to be the closing figure of the party of `` forty-niners '', and was to hold a basket.
Here P represents the value of the stream in state P and Q the cost of operating the stage with conditions Q.
Here the absent sitter makes a `` date '' with a communicator ( someone close to him who is deceased ), asking him to `` come in '' at a certain hour, when a channel will be open for him.
Here I was accompanied by Mrs. Okamoto ( Fumio's mother ), her son, Mr. Washizu ( a prospective student with whom I have been corresponding for more than a year ), and Mr. Nishima, one of the science teachers.
Here again it was vacation time and there were many things I could not see, but I was able to visit with a professor who is famous in Japanese circles and be guided through the grounds by his assistant.
Here Alexios III eventually surrendered, with Euphrosyne, to Marquis Boniface of Montferrat, who was establishing himself as ruler of the Kingdom of Thessalonica.
Therefore, given any positive integer n, it produces a string with Kolmogorov complexity at least as great as n. The program itself has a fixed length U. The input to the program GenerateComplexString is an integer n. Here, the size of n is measured by the number of bits required to represent n, which is log < sub > 2 </ sub >( n ).
Here he hired the famous condottiero Braccio da Montone with the task of reducing the resistance of the other pretender, Louis III of Anjou, and his forces led by Muzio Attendolo Sforza.
Here she repudiated her earlier adoption of Alfonso and, with support from Martin V, named Louis III as her heir instead.
Here Hume tackles the problem of how liberty may be reconciled with metaphysical necessity ( otherwise known as a compatibilist formulation of free will ).
Here we can store 6 elements they are stored linearly but starting from first row linear then continuing with second row.
Here, there is a two-manual and pedal board electric organ, with speakers at the front and sides of the church.
Here and positive
Here the negatively charged electrons are attracted to the positive charges of both nuclei, instead of just their own.
Here, x is the angle that a line connecting the origin with a point on the unit circle makes with the positive real axis, measured counter clockwise and in radians.
Here the left-hand side is equal to, namely the first-order polygamma function defined through ; the gamma function is equal to if is a positive integer.
Here w ( A | B ) is the " plausibility " of the proposition A given B, and m is some positive number.
Here, the chorus is composed of old men who are largely unwilling to see civil disobedience in a positive light.
Here Gawain partly retains the negative characteristics attributed to him by the later French, and partly retains his earlier positive representations, creating a character seen by some as inconsistent, and by others as a believably flawed hero.
Here the terms positive and negative are not used in their popular sense, but rather: positive refers to addition, and negative refers to subtraction.
The first statement is true in the real numbers as given in ZFC set theory: for any positive integer n it is possible to find a real number between 1 / n and zero, but this real number will depend on n. Here, one chooses n first, then one finds the corresponding x.
After an initial blaze of publicity, positive critical reviews, and commercial success, the album failed to live up to long-term expectations, and public goodwill towards Be Here Now was short-lived.
Here, the thumb points in the direction of the conventional current ( from positive to negative ), and the fingers point in the direction of the magnetic lines of flux.
Here is a short list of global results concerning manifolds with positive Ricci curvature ; see also classical theorems of Riemannian geometry.
valid when m > 0, Here the zeta function is Hurwitz zeta function and Beta is a positive real number.
Here h is the zero-field height ( or unreduced height ) of the barrier, e is the elementary positive charge, F is the barrier field, and ε < sub > 0 </ sub > is the electric constant.
Here for the first time in the Renaissance the ideas of Epicurus found deliberate and positive expression in a work of scholarly and philosophical value.
Like Eno's previous album, Here Come the Warm Jets, the album received a mostly very positive reception from critics.
Here the Drude model is applied to electrons ; it can be applied both to electrons and holes ; i. e., positive charge carriers in semiconductors.
After detecting the IRQ signal processor processes branches to an ISR whose job is to detect ( to poll ) which device has send IRQ signal. Here polling action is performed on the connected device one by one until a positive result ( i. e. IRQ bit = 1 ) is obtained.
Here it is revealed that the Syndicate have gained control of their Earth again and have been abducting people from throughout all of the individual 52 universes in the current positive matter Multiverse to use as slave labor to repair their damaged Earth.
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