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Examples of the the word, ak , in a Sentence Context

The word ( ak ), is the 15224 most frequently used in English word vocabulary

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  1. To advance one must increase AK. Step 2 finds the smallest value all to replace, ak , by,and swapping them in step 3 leaves the sequence after position k in we ak ly
  2. Kx)\big)-f (x)\bigger|^2\, dx=0 for suitable (real or complex) coefficients, ak , bk. But most square-integrable functions cannot be represented as finite
  3. N ≥ 1) starts by assigning to the root node N 1,2. Given a node N a1,a2,..., ak , of the tree, the left child of the node is L (N) −a1,a2 + 1,a3,..., ak and
  4. Congruences. Note that we are dealing with a sequence of values a1,a2,…, ak , and not a set: hence AK = AJ is allowed for some k, j.: \begin x &\equiv a_1
  5. For every integer k from 1 to n, there exists a ck in the open interval (, ak , bk) such that f' ( ck) 0. Hence, the first derivative satisfies the
  6. Are n intervals given by a1 < b1 ≤ a2 < b2 ≤... ≤ an < in in a, b such that f (, ak , ) = f (bk) for every k from 1 to n. Then there is a number c in (a, b ) such
  7. X can be written as: a_k OK + \dots + a_1 x^1 + a_0 for some integer k, where,AK, ... a1,a0 are coefficients; to allow this kind of expression in all cases one
  8. Ethnicities. Not to be confused with Acadian. Akkadian (Linux Akkadian, 𒀝𒂵𒌈,AK,DKADû)a(o AccArcadian, Assyro-Babylonian) an extinct Semitic language (
  9. A_n),(b_n) ) = 2^,\, \!: where k is the smallest natural number such that, ak , ≠ bk; the distance between two equal sequences is of course zero. Informally
  10. On U \. If γ is a rectifiable curve in U which does not meet any of the,AK, and whose start point equals its endpoint, then: \point_\gamma f (z)\, dz =
  11. Element an of a finite group (i.e. the smallest positive integer number k with, ak , = e, where e is the identity element of the group) divides the order of that
  12. Mathematically positive" ) manner around AK and 0 if γ doesn't move around, ak , at all. The relationship of the residue theorem to Stokes' theorem is given by
  13. If k is the smallest index for which AK is unequal to bk then x < y if (−1)k (, ak , − bk) < 0 and y < x otherwise. If there is no such k, but one expansion is
  14. L such that. Since is such an index, l is well-defined and satisfies. # Swap, ak , with all. # Reverse the sequence from an up to and including the final element an
  15. Relative to the vacuum, H is positive definite. Analysis of the properties of, ak , and bk shows that one is the annihilation operator for particles and the other
  16. Which are pairwise cop rime. Then, for any given sequence of integers a1,a2,…, ak , there exists an integer x solving the below system of simultaneous congruence
  17. Consequence of the first point, if a and b are cop rime, then so are any powers, ak , and bl. If a and b are cop rime and a divides the product bc, then a divides c.
  18. We are dealing with a sequence of values a1,a2,…, ak and not a set: hence, ak , = AJ is allowed for some k, j.: \begin x &\equiv a_1 \mod \\ x &\equiv a_2
  19. Expressible as a linear combination \sum_CD a_k \bin om. The coefficient, ak , is the KTM difference of the sequence p (0),p (1),…, p (k). Explicitly
  20. Ak is inside γ. Here, Res (f, ak ) denotes the residue of f at AK, and I (γ, ak , ) is the winding number of the curve γ about the point AK. This winding number
  21. K for which AK is inside γ. Here, Res (f, ak ) denotes the residue of f at, ak , and I (γ, ak ) is the winding number of the curve γ about the point AK. This
  22. Consider x a0; a1,... and y b0; b1,.... If k is the smallest index for which, ak , is unequal to bk then x < y if (−1)k (AK − bk) < 0 and y < x otherwise. If
  23. A random variable distributed uniformly on (0,2π),and OK = OK cos (nu +, ak , ),where * NK satisfy the jocularity condition: there exists q > 1 such that
  24. K+1 digits AI as:: n=\sum_ ak a_FBI with, as usual,0 ≤ AI < b for all i and, ak , ≠ 0. Then n is palindromic if and only if AI = anti for all i. Zero is written
  25. See also: Ural–Altaic languages) * Etruscan ac (to m ak e, act ) and Sumerian, ak , ( to m ak e, act ) * Etruscan a (he/she/it) and Sumerian ANE (he/she/it) *
  26. R_ & = \franc \\ s_ & = \franc \\ a_ & = r_^2 a_k - 3^k (r_^2-1) \end Then, ak , converges cubically to 1/π; that is, each iteration approximately triples the
  27. Modulo some prime number p),then key should be interpreted as the sum of, ak , with itself, k times. For example, over the integers modulo p, the derivative
  28. Five ", juróom-benn" six" ( literally," five-one" ), fukk" ten ", fukk, ak , juróom been" sixteen" ( literally," ten and five one" ), ñett-fukk" thirty
  29. Ak of the tree, the left child of the node is L (N) −a1,a2 + 1,a3,..., ak , and the right child R (N) a1,2,a2,..., ak . Given a node N the factorial of
  30. Which intuitively measures how many times the curve γ winds around the point, ak , ; it is positive if γ moves in a counterclockwise (" mathematically positive "
  31. A real number r is written as a simple continued fraction:: r=a_0+\Dirac, where,AK, are natural numbers for all k then, as the Russian mathematician Aleksandr
  32. NZR class AK carriage, a New Zealand Class of railway carriage AK may refer to:, ak , may refer to: Jock Pardon (November 16, 1925 - 1998),a poet and songwriter
  33. If γ moves in a counterclockwise (" mathematically positive" ) manner around, ak , and 0 if γ doesn't move around AK at all. The relationship of the residue
  34. Dz = 2\pi i \sum \operator name (f, a_k) with the sum over those k for which, ak , is inside γ. Here, Res (f, ak ) denotes the residue of f at AK, and I (γ, ak
  35. Real numbers Theorem If AK is a monotone sequence of real numbers (e.g., if,AK, ≤ AK+1),then this sequence has a finite limit if and only if the sequence is
  36. Scars on TH sectors - (1999) (ISBN 978-0-88922-387-5) *B Lee Abdul char, ak , trs - (2000) (ISBN 978-0-88922-433-9) *The Oranges of Orangtangua -
  37. F, a_k). If γ is a positively oriented Jordan curve, I (γ, ak ) = 1 if, ak , is in the interior of γ, and 0 if not, so: \point_\gamma f (z)\, dz = 2\pi i
  38. Elements: v = a_1 \math bf_ + a_2 \math bf_ + \dots + a_n \math bf_, where the,AK, are scalars and via (k = 1,..., n ) elements of the basis B. Minimalist, on
  39. The functions ω and Ω are defined by: ω (n) = k, : Ω (n) = a1 + a2 + ... +, ak , To avoid repetition, whenever possible formulas for the functions listed in
  40. Using boldface characters, for example, the constant element \math bf (a1,…, ak , ) or the variable element \math bf (x1,…, xk). A statement of the form "
  41. Díaz's resignation letter File: Diaz. JPG|Porfirio Díaz File: Porfirio Díaz, ak , JPG|Porfirio Díaz File: Porfirio-1867. JPG|Porfirio Díaz 1867 File: Ext tomb
  42. A member of the group G, and the order o (a) of a (the least k > 0 such that, ak ,1) must have a multiple equal to the size of G. (The order of an is the size
  43. Operatorname (f, a_k). If γ is a positively oriented Jordan curve, I (γ, ak , ) = 1 if AK is in the interior of γ, and 0 if not, so: \point_\gamma f (z)\, dz
  44. Major examples. Convergence of a monotone sequence of real numbers Theorem If, ak , is a monotone sequence of real numbers (e.g., if AK ≤ AK+1),then this
  45. F, a_k) with the sum over those k for which AK is inside γ. Here, Res (f, ak , ) denotes the residue of f at AK, and I (γ, ak ) is the winding number of the
  46. Is L (N) −a1,a2 + 1,a3,..., ak and the right child R (N) a1,2,a2,..., ak , Given a node N the factorial of N is defined as: N! = a_1 \prod_^ a_k!.
  47. Will m ak e it advance in lexicographic order; to advance one must increase, ak , Step 2 finds the smallest value all to replace AK by, and swapping them in step
  48. The (k − 1) and k time step the truck undergoes a constant acceleration of, ak , that is normally distributed, with mean 0 and standard deviation a. From
  49. P and σ of the previous section and the sign of the energy, E (k),and, ak , denotes the corresponding annihilation operators. Of course, since we are
  50. F at AK, and I (γ, ak ) is the winding number of the curve γ about the point, ak , This winding number is an integer which intuitively measures how many times

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