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

The word ( aj ), is the 11830 most frequently used in English word vocabulary

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  1. Preference can be held in which an individual has a preference for at least, aj , similar to the mathematical operator ≤. *Indifference occurs when an
  2. Compute the Fourier transform (BJ, k ) of g. # Compute the Fourier transform (, aj , k) of f via the formula (*) and the Fourier transform of g. # Compute f by
  3. Rafi- meal # mere PAAs AAO Nagar to Milan - late - Sandhurst Impalas: #, aj , mere man me - late - AAN # tier sake balm - late -a mar # Manama Nail
  4. Is zero whenever each AJ has zero expectation, lies in an AK, and no adjacent, aj , 's come from the same subalgebra AK. Random variables are freely independent if
  5. Anin for some AJ in the ring R because x is in the ideal I. We can assume that, aj , is homogeneous of degree d-\matrix_j for every j (otherwise, we replace AJ by
  6. Fourier transform of g. # Compute f by taking an inverse Fourier transform of (, aj , k). Since we're only interested in a finite window of frequencies (of size
  7. Songs based on different ragas. (raga, song,singer, movie ) Air Whereas: #, aj , hai par key Faisal Sana - late - leader Alahaiya-Bilawal: # DIL man cupcake
  8. Independent if the expectation of the product a1 ... an is zero whenever each, aj , has zero expectation, lies in an AK, and no adjacent aj 's come from the same
  9. If for all natural numbers j and k, aj , k is a non-negative real number and, aj , k ≤ AJ+1,k, then (see for instance page 168): \LIM_ \sum_k a_ = \sum_k
  10. Of primes: n = p_1^\lots p_km where p1 < p2 < ... < pk are primes and the,AJ, are positive integers. (1 is given by the empty product. ) It is often
  11. A0,a1,a2,a3,... that satisfies: a0=1,and: for each k > 0: AK AI +, aj , and either AI AJ or | AI − AJ | = am, for some i, j,m < k. The sequence of
  12. If any bk is a non-positive integer (excepting the previous case with -bk <, aj , ) then the denominators become 0 and the series is undefined. Excluding these
  13. Samsad - mother India # gun ghat nah in - late - mother India # chèvre see Anne, aj ,- raft - park # Alankrita Mila KE - kohlrabi - rattan # main Shankara the
  14. For i = 1,2,..., n − 1. By transitivity, this condition is equivalent to AI ≤, aj , for any 1 ≤ i ≤ j ≤ n. When solving inequalities using chained notation, it is
  15. If, for a vector v ∈ V,φ−1 (v) (a1,a2,..., an ) ∈ FN, then the components, aj , aj (v) are the coordinates of v in the sense that v = a1 (v) v1 + a2 (v)
  16. Chayi fate - late -a mar # tan rang lo - late, rafi - Kohinoor Malgunji: # hum, aj , kahi DIL - Mukesh - and Balkans/ Balkans/ Nashik: # man parapet hard
  17. A_=-\franc which is an explicit formula for the Fourier coefficients, aj , k. With periodic boundary-conditions, the Poisson equation possesses a
  18. Of Measure, the symbol a (without subscript) always refers to the Julian year, aj , of exactly seconds. 365.25 days of seconds 1 a 1 AJ = Ms The SI multiplier
  19. Of Hp-atoms, : f = \sum c_j a_j, \ \ \ \sum | c_j|up < \nifty where the,AJ, are Hp-atoms and the CJ are scalars. On the line for example, the difference of
  20. HTML#para-31 by using: AR for are and:: at a’t days for the mean tropical year:, aj , a_j 365.25 days for the mean Julian year: AG a_g days for the mean Gregorian
  21. And, which combine with the cardinal vowels to form six falling diphthongs:, aj , ex, oj, uj, aŭ, and EU (nearly the same as the diphthongs of Filipino).
  22. AUR Kalyan) in Hindi – 1960: Writer of Story and Screenplay * आज और कल (, aj , aur KAL) in Hindi – 1966: Writer of Story and Screenplay * चिमणराव गुंड्याभाऊ
  23. Canada: # Darya re Darya law more age - Asha, rafi - leader # sure HAI, aj , ishk man - raft - DIL diva hard Lisa # rabbi DIL mile Takata - Mukesh -
  24. Hypergeometric series. Convergence conditions There are certain values of the,AJ, and bk for which the numerator or the denominator of the coefficients is 0. *
  25. Days for the mean Julian year: AG a_g days for the mean Gregorian year: a = 1,AJ, year (without further qualifier) A definition jointly adopted by the
  26. Simple function f on S is one of the form: f = \sum_in a_j \math bf_, where,AJ, is scalar and AJ ∈ Σ has finite measure, for j = 1,..., n. By construction of
  27. The commands are always the previous chain: that is, : for each k>0: AK = ak-1 +, aj , for some j < k. Bauer number is one for which the Bauer chain is minimal. Let
  28. Summable in X, then for every subset J ⊂ I, the corresponding subfamily, aj , j ∈ J, is also unconditionally suitable in X. When the sum of a family of
  29. Mother India # mat wale hiya - late, rafi, samsad, manna - mother India #, aj , mere man man - late - AAN # AJ sushi I trade - raft - AAN # udi chai
  30. Into linear factors of the form (AJ+n) and (bk+n) respectively, where the,AJ, and bk are complex numbers. For historical reasons, it is assumed that (1+n)
  31. For the 5-tuple models): Either erase or write a symbol (instead of, aj , write aj 1),and then Move the head (which is described by DK and can have
  32. By Imam Mahdi:" ... I have a special gratitude for Honorable Baqiyatullah (, aj , ),whom when seven months ago during the Night of Power the Divine angels
  33. Aj is homogeneous of degree d-\matrix_j for every j (otherwise, we replace, aj , by its homogeneous component of degree d-\matrix_j; if we do this for every j
  34. Order preserving if keys are given in some order a1,a2,..., and for any keys, aj , and AK, j implies F (AJ) (AK). Order-preserving minimal perfect hash
  35. That, given the state (QI) the machine is currently in and the symbol (, aj , ) it is reading on the tape (symbol currently under the head) tells the
  36. Rafi - Dan Khan told Jaipur: # DIL KO lava KE - UMA - ankh Ada # sure main, aj ,- raft - DIL diva hard Lisa Janasamohini/Shubham Kalyan: # KOI sugar DIL KO -
  37. A3,... that satisfies: a0=1,and: for each k > 0: AK AI + AJ, and either AI, aj , or | AI − AJ | = am, for some i, j,m < k. The sequence of powers of 2 (1,2
  38. From max (0,i+1−n) to min (i,n−1)column multiplication k ← i − j x ← x + (, aj , × bk) result ← x mod 2 x ← floor (x/2) Electronic usage Some chips
  39. A2 (v) v2 + ... + an (v) VN. The maps sending a vector v to the components, aj , ( v) are linear maps from V to F, because of φ−1 is linear. Hence, they are
  40. 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 \mod \\
  41. Convergence of a monotone series Theorem If for all natural numbers j and k, aj , k is a non-negative real number and AJ, k ≤ AJ+1,k, then (see for instance
  42. Satisfies: a0=1,and: for each k > 0: AK AI + AJ, and either AI AJ or | AI −, aj , | = am, for some i, j,m < k. The sequence of powers of 2 (1,2,4,8,16,...
  43. For a vector v ∈ V,φ−1 (v) (a1,a2,..., an ) ∈ FN, then the components AJ, aj , ( v) are the coordinates of v in the sense that v = a1 (v) v1 + a2 (v) v2
  44. Nail, Yesudas - Diwali (Malayalam) # Asana like rah hewn - UMA - hard #, aj , purani Ramon see - raft - Adam Bihar: # Mari ladle re - late - and # tier
  45. For which the numerator or the denominator of the coefficients is 0. * If any, aj , is a non-positive integer (0,−1,−2,etc.) then the series only has a finite
  46. Erected a number of sculptures of bound prisoners of war and adopted the title, aj , b'colon b'AAK," He of Many Captives ". The history of Toning continued after
  47. Some homogeneous invariant of degree d>0. Then: x = a1i1 + ... + akin for some, aj , in the ring R because x is in the ideal I. We can assume that AJ is homogeneous
  48. Refers to the Julian year AJ of exactly seconds. 365.25 days of seconds 1 a 1,AJ, = Ms The SI multiplier prefixes may be applied to it to form key (kiloannum)
  49. Lata, rafi - mere meh boob # AAI Diwali - kohlrabi - rattan # diva Na Bush re, aj , hamara - late - son of India # Sindbad eye Shabbat Sindbad - raft - Mughal e
  50. Lata, rafi, samsad, manna - mother India # AJ mere man man - late - AAN #, aj , khushi I trade - raft - AAN # udi chai fate - late -a mar # tan rang lo

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