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* Consider now L = Q ( ³ √ 2, ω ), where ω is a primitive third root of unity.
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Consider and now
Consider now the acceleration due to the sphere of mass M experienced by a particle in the vicinity of the body of mass m. With R as the distance from the center of M to the center of m, let ∆ r be the ( relatively small ) distance of the particle from the center of the body of mass m. For simplicity, distances are first considered only in the direction pointing towards or away from the sphere of mass M. If the body of mass m is itself a sphere of radius ∆ r, then the new particle considered may be located on its surface, at a distance ( R ± ∆ r ) from the centre of the sphere of mass M, and ∆ r may be taken as positive where the particle's distance from M is greater than R. Leaving aside whatever gravitational acceleration may be experienced by the particle towards m on account of ms own mass, we have the acceleration on the particle due to gravitational force towards M as:
Consider a hyperelliptic curve of genus over the field where is the power of a prime number and define as but now over the field.
During the course of this study, Derrida not only divulges the exact instances Socrates or his interlocutors make use of this concept, but also reveals the relationship between Plato and Socrates which scholars have kept in secret by questioning the validity of authorship in Plato's letters, where in the second letter Socrates writes: " Consider these fact and take care lest you sometimes come to repent of having now unwisely published your views.
Consider now the free body diagram of a deformable body, which is composed of an infinite number of differential cubes as shown in the figure.
Consider the sequential execution of the list of statements, s ( i ), and what can now be observed as the computation at statement, j:
Consider now the finite approximations to the Wallis product, obtained by taking the first k terms in the product:
They are maps from flat 3-space into the Lie group G. Consider now glueing these two balls together at their boundary S².
" Consider the lyrics: Prayed through the nights / Felt so alone / Suffered from alienation / Carried the weight on my own / Had to be strong / So I believed / And now I know I've succeeded / In finding the place I conceived.
Consider and L
* P. J. Rudall, K. L. Stobart, W .- P. Hong, J. G. Conran, C. A. Furness, G. C. Kite, M. W. Chase ( 2000 ) Consider the Lilies: Systematics of Liliales.
Consider the two endpoints of a rod of length L. The length can be determined from the differences in the three coordinates Δx, Δy and Δz of the two endpoints in a given reference frame
Consider, for example, the difference between strong and weak convergence of functions in the Hilbert space L < sup > 2 </ sup >( R < sup > n </ sup >).
Consider the complex Hilbert space L < sup > 2 </ sup >( R ), and the operator which multiplies a given function by x:
Let H be a Hilbert space and L ( H ) the bounded operators on H. Consider a self-adjoint subalgebra M of L ( H ).
This task also requires resource R. Consider H starts after L has acquired resource R. Now H has to wait until L relinquishes resource R.
Consider a quantum mechanical particle confined to a closed loop ( i. e., a periodic line of period L ).
Consider the Hilbert space X = L < sup > 2 </ sup > 3 of complex-valued square integrable functions on the interval 3.
From the Szemerédi – Trotter theorem, the number of such lines is, as follows: Consider the set P of n points, and the set L of all those lines spanned by pairs of points of P that contain at least points of P. Note that, since no two points can lie on two distinct lines.
Consider and =
Again we start with a C < sup >∞</ sup > manifold, M, and a point, x, in M. Consider the ideal, I, in C < sup >∞</ sup >( M ) consisting of all functions, ƒ, such that ƒ ( x ) = 0.
Consider the ( possibly proper ) class B defined such for every set y, y is in B if and only if there is an x in A with F < sub > P </ sub >( x ) = y.
Consider the vectors e < sub > 1 </ sub > = ( 1, 0, 0 ), e < sub > 2 </ sub > = ( 0, 1, 0 ) and e < sub > 3 </ sub > = ( 0, 0, 1 ).
We say that the number x is a periodic point of period m if f < sup > m </ sup >( x ) = x ( where f < sup > m </ sup > denotes the composition of m copies of f ) and having least period m if furthermore f < sup > k </ sup >( x ) ≠ x for all 0 < k < m. We are interested in the possible periods of periodic points of f. Consider the following ordering of the positive integers:
Consider the variance formula: e = PQ, wherein P is equal to the proportion of " 1's " or " cases " and Q is equal to ( 1-P ), the proportion of " 0's " or " noncases " in the distribution.
Consider a jet with an angle to the lines of sight θ = 5 ° and a speed of 99. 9 % of the speed of light.
Consider for instance the projection p < sub > 1 </ sub >: R < sup > 2 </ sup > → R on the first component ; A =
Consider a sphere S ( r ) with radius r. A point on the sphere is identified by its latitude φ and longitude λ, for which we introduce the random variables Φ and Λ that take values in Ω < sub > 1 </ sub > = respectively Ω < sub > 2 </ sub > =.
Consider the cubic polynomial equation 4t < sup > 3 </ sup > − g < sub > 2 </ sub > t − g < sub > 3 </ sub > =
Consider n = 40: the human species is more than 40 generations old, yet the number 2 < sup > 40 </ sup >, approximately 10 < sup > 12 </ sup > or one trillion, dwarfs the number of humans that have ever lived.
0.362 seconds.