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The word ( xi ), is the 10637 most frequently used in English word vocabulary

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  1. One may also define the conditional entropy of two events X and Y taking values, xi ,and yo respectively, as: H (X|Y)=\sum_p (x_, y_)\log\franc where p ( xi , yj)
  2. Hold: * Homogeneity: M (λ x1,..., λ in) λ M (x1,..., xn) for all λ and, xi , In vector notation: M (λ x) λ MX for all n-vectors x. * Monotonic: If xi
  3. An element of Rn is written: \math bf = (x_1,x_2,\lots, x_n),where each, xi ,is a real number. The vector space operations on Rn are defined by: \math bf +
  4. Y, and z components of satellite position and the time sent are designated as, xi , Yi, zi, ti where the subscript I denotes the satellite and has the value 1,2
  5. That x points to (which is x0) as the first element of the array. Formally, xi ,is equivalent to * (x + i). Since the type of the pointer involved is known
  6. Le x_n b. \, \! This partitions the interval a, b into n sub-intervals xi −1, xi , indexed by i, each of which is" tagged" with a distinguished point ti ∈ xi −1
  7. M4 is the fourth sample moment about the mean,m2 is the sample variance, xi ,is the with value, and \bar is the sample mean. Unfortunately, G_2 is itself
  8. Four assignments are equivalent and each is valid C code. /, xi ,= 1; /ix = 1; / Note that although all four assignments are equivalent, only
  9. H (X|Y)=\sum_p (x_, y_)\log\franc where p ( xi , yj) is the probability that X, xi ,and Y yo. This quantity should be understood as the amount of randomness in the
  10. Rarely used in China. One such example is the common use of western broccoli (, xi ,LAN, 西蘭 ) instead of Chinese broccoli (gas LAN, 芥蘭 ) in American Chinese
  11. Values xi and yo respectively, as: H (X|Y)=\sum_p (x_, y_)\log\franc where p (, xi , yo) is the probability that X xi and Y yo. This quantity should be understood
  12. More conceptually, this rule expresses the fact that a change in the, xi ,direction may change all of g1 through GK, and any of these changes may affect
  13. Relationship between the dependent variable Yi and the p-vector of regressors, xi ,is linear. This relationship is modeled through a so-called“ disturbance term
  14. With these numbers' hi, any integer x can be reconstructed from its remainders, xi ,by the equation: x ≡ (x1M1h1 + x2M2h2 + … + MNHN) mod M Since these numbers
  15. Variable, but it is linear in the parameters β1 and β2; if we take regressors, xi ,( xi 1, xi 2) (ti,ti2),the model takes on the standard form: h_i = x'_i\beta
  16. Representing an integer by its digits, it may be represented by its remainders, xi ,modulo a set of N cop rime numbers me.: x1 ≡ x mod m1: x2 ≡ x mod m2: …: in ≡ x
  17. Linear as long as it is linear in the parameter vector β. ** The regressors, xi ,may be viewed either as random variables, which we simply observe, or they can
  18. Matrix norm. * Take the Banach space Rn (or CN) with norm | | x | | max |, xi ,| and define multiplication componentwise: (x1,..., xn) (y1,..., yn) (
  19. Pi. Now consider a weightless rod on which are placed weights, at locations, xi ,along the rod and having masses pi (whose sum is one). The point at which the
  20. Written as n = \sum_^ n_IB_i were 0 \peasant n_i < h for all i \in 0,l-1 Let, xi ,= FBI. Then the algorithm uses the equality XSN \prod_^ ^ \prod_PJ Given the
  21. With pi’s being the weights:: \operatornameX = \franc \;. If all outcomes, xi ,are equally likely (that is,p1 p2 ... = pk),then the weighted average turns
  22. Realisations of random variables, having F as their distribution function, by, xi , ( i=1,..., n ). Then define: z_i=F (x_i),: DO+ = \math rm \left/n- z_i
  23. Indexed by i, each of which is" tagged" with a distinguished point ti ∈ xi −1, xi , A Riemann sum of a function f with respect to such a tagged partition is
  24. Magdeburg, ( vii) Cottbus, ( viii) Halle, ( ix) Leipzig, ( x) Erfurt, (, xi , ) Dresden, ( xi i) Karl-Marx-Stadt (Chemnitz until 1953 and again in 1990),(
  25. M2 is the second sample moment about the mean (that is, the sample variance), xi , is the with value, and \overlie is the sample mean. Estimators of population
  26. Random variable, then it attains values x1,x2,... with probability pi = P (, xi ,), and the CDF of X will be discontinuous at the points xi and constant in
  27. Factors which influence the dependent variable Yi other than the regressors, xi , The relationship between the error term and the regressors, for example
  28. Expectation. For example, suppose X is a discrete random variable with values, xi ,and corresponding probabilities pi. Now consider a weightless rod on which are
  29. Kingdom was Madonna (Μαιονία),or Macedonia: Homer (Iliad ii. 865; v. 43, xi , 431) refers to the inhabitants of Lydia as Mai ones (Μαίονες). Homer
  30. Only if there e xi st elements x1,x2,..., xn in X such that a x1,b in, and (, xi , xi + 1)OR or ( xi +1, xi )OR, i = 1,...,n-1.: Note that the equivalence
  31. X mod m2: …: in ≡ x mod MN The goal is to determine x from its N remainders, xi , The solution is to combine the multiple equations into a single linear
  32. xi . In vector notation: M (λ x) λ MX for all n-vectors x. * Monotonic: If, xi ,≤ Yi for each i, then MX ≤ My It follows * There are means which are not
  33. Be a diffusion on M whose characteristic operator \mathcal in local coordinates, xi , 1 ≤ i ≤ m, is given by LB, where LB is the Laplace–Bertram operator given
  34. Without loss of generality that x1 is the largest, while in is the smallest of, xi , First, using the squeeze theorem we will prove that:: \LIM_\left (
  35. The expected value is what you expect to happen on average. If the outcomes, xi ,are not equiprobable, then the simple average ought to be replaced with the
  36. Are simply the digits of n in base h. Yao's method collects in u first those, xi ,which appear to the highest power h-1; in the next round those with power h-2
  37. A great musical, or merely the greatest of all cult musicals? " (Chain, p., xi ,) Ted Chain wrote," Taken as a whole, the collection of reviews Follies
  38. Figure. As the figure indicates, by the mean-value theorem there e xi sts a value, xi ,in each bin such that: f (x_i) \Delta = \int_^ f (x)\, dx and thus the
  39. Of C is its treatment of arrays and pointers. The array-subscript notation, xi ,can also be used when x is a pointer; the interpretation (using pointer
  40. Heracles, Theseus,are heroic. Even Odysseus in his Nokia (Odyssey, xi ,) calls up the spirits of the departed, rather than descend to them. There were
  41. Denotes the transpose, so that xi ′β is the inner product between vectors, xi ,and β. Often these n equations are stacked together and written in vector form
  42. General, the partial derivative of a function ƒ (x1,…, xn) in the direction, xi ,at the point (a1 …, an ) is defined to be:: \franc (a_1,\lots, a_n) =
  43. Geometric and harmonic means. It is defined for a set of n positive numbers, xi ,by: \bar (m) = \left (\franc\dot\sum_in \right) ^\track By choosing the
  44. Of the problem is the 0-1 knapsack problem, which restricts the number, xi ,of copies of each kind of item to zero or one. Mathematically the 0-1-knapsack
  45. Probability pi = P ( xi ),and the CDF of X will be discontinuous at the points, xi ,and constant in between:: F (x) \operator name (X\LEQ x) \sum_ \operator name
  46. Arithmetic mean does this best, in the sense of minimizing the sum of squares (, xi ,− X)2 of the residuals. (It follows that the mean is also the best single
  47. First region of Hades comprises the Fields of Asphodel, described in Odyssey, xi , where the shades of heroes wander despondently among lesser spirits, who
  48. A_n) = \LIM_\franc. In the above difference quotient, all the variables except, xi ,are held fixed. That choice of fixed values determines a function of one
  49. The function f are evaluated on a partition a x0 ≤ x1 ≤... ≤ in b whose values, xi ,are increasing. Geometrically, this signifies that integration takes place "
  50. By a small amount. Symmetry The measure should be unchanged if the outcomes, xi ,are re-ordered.: H_n\left (p_1,p_2,\lots \right) = H_n\left (p_2,p_1

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