'1 ax' diaporamas de présentation

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Fibonacci Numbers, Polynomial Coefficients, and Vector Programs.

Fibonacci Numbers, Polynomial Coefficients, and Vector Programs. Leonardo Fibonacci. In 1202, Fibonacci proposed a problem about the growth of rabbit populations. Inductive Definition or Recurrence Relation for the Fibonacci Numbers. Stage 0, Initial Condition, or Base Case:

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2-2 ??????????

2-2 ??????????. ????? ????? ???. ???????????????. p60 ????. 4. 1. 3. 1. 4. 3. y. 1. x. O. 1. 3. ?2.????????? ? A ? B ? C ?? ???. C. B. A. =. ???. ??????? ????. ?????? ????. ? ? ? ?. y. (4,4). (3,3). (2,2). 1. x. O. 1. ( ? 2, ? 2).

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8.2 ???????

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6.6 AX=O ????

6.6 AX=O ????. ????. 6.7 ????????. ??? ??????? ?. ????. AX = B. 2 x 1 ? x 2 + 3 x 3 + x 4 = 1. x 1 + 3 x 2 ?2 x 4 = 0. ?4 x 1 ? x 2 + 2 x 3 ?9 x 4 = ?3. ???????. ? AX = B. A. B. X. ?? ??? ?. ? ????? ??????. ???. AX = B ?????. ??

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Dynamics of High-Dimensional Systems

Dynamics of High-Dimensional Systems. J. C. Sprott Department of Physics University of Wisconsin - Madison Presented at the Santa Fe Institute On July 27, 2004. Collaborators. David Albers , SFI & U. Wisc - Physics Dee Dechert , U. Houston - Economics John Vano , U. Wisc - Math

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Differential Calculus

Differential Calculus. To err is. human,. to admit. superhuman,. to forgive. divine,. to blame it on others. politics,. to repeat. unprofessional. ANONYMUS. Calculus is a central branch of Mathematics, developed from algebra and geometry.

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University of Nottingham

School of Economics. University of Nottingham. Pre-sessional Mathematics Masters. Dr Maria Montero Dr Alex Possajennikov. Topic 2 Linear Algebra. An m ? n matrix is an rectangular array of numbers with m rows and n columns :. Linear Algebra. Matrices.

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Probability in EECS

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Stream cipher diagram

Stream cipher diagram. +. +. Recall: One-time pad in Chap. 2. Advantage of stream cipher. With proper design of PRNG, stream cipher is as secure as block cipher of comparable key length (?) Stream cipher is faster than block cipher. Disadvantage of stream cipher.

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???. Assembly Language Programming. ???? ? 1 ?? ??????? ???? ????????????????????? ????? IBM-PC ?? IBM PC ??????????? 8086/8088CPU ???????????????????????? ????????????????? ????????????. ???? ? 2 ?? ???????? ????????? ???????????? ?????? ?????? ????????? ????????????. ????

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? ? ? ? ? ? ?

X. ? ? ? ? ? ? ?. ? ? ? ? ? ? ?. y. l. P. Q. x. O. P ? x 0 ? y 0 ?. l : Ax + By + C =0. l. y. y. l. P. ? 1. P. ? 1. Q. Q. M. M. ?. ?. x. x. O. O. P( x 0 ,y 0 ), l : Ax + By + C =0, AB? 0, ????? ?. ? 1 = ?-?. ? 1 = ?. ? P ? PM? x ?? l ? M ?????? PQM.

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Matlab ??????

Matlab ??????. ??????. ??????? ?????????? ??? rref ???????????? ??? rref ????? ??? null ????????????? ??? rref ?????????. ??????. ???. ? A ???????????. ?? A=[3 -4 0; -1 5 2; 4 1 -6] det (A) % ????????? rank (A) % ????? inv (A) % ????. ????? ??????????.

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