a little bit of math

... Lobachevsky, Nikolai Lovelace, Augusta Ada Byron Maclaurin, Colin Madhava of Sangamagramma Markov, Andrei Menelaus of Alexandria Minkowski, Hermann Möbius, August Moivre, Abraham de Monge, Gaspard ... Jean d’ Apollonius of Perga Archimedes of Syracuse Aristarchus of Samos Aryabhata I Babbage, Charles Bacon, Roger Baire, René-Louis Banach, Stefan Barrow, Isaac Bayes, Thomas Bernoulli, Daniel ... Analysis Maria Gaetana Agnesi is known as a talented mathematician of the 18th century, and indeed was one of the first female mathematicians in the Western world A mathematical prodigy with great linguistic...

Ngày tải lên: 16/03/2014, 02:20

... Example 11 The determinant of × matrix:   a1 1 a1 2 a1 3   det  a2 1 a2 2 a2 3  = a3 1 a3 2 a3 3 = a1 1 · det a2 2 a2 3 a3 2 a3 3 − a1 2 · det a2 1 a2 3 a3 1 a3 3 + a1 3 · det a2 1 a2 2 a3 1 a3 2 = = a1 1 a2 2 a3 3 ... therefore the maximum number of linearly Properties of the rank: • The column rank and the row rank of a matrix are equal • rank(AB) ≤ min(rank (A) , rank(B)) • rank (A) = rank(AA ) = rank (A A) Using ... Supplementary Reading (General): • Arrow, K and M.Intriligator, eds Handbook of Mathematical Economics, vol • Berck P and K Sydsæter Economist’s Mathematical Manual • Chiang, A Fundamental Methods of Mathematical...

Ngày tải lên: 17/03/2014, 14:20

... the Taylor expansion was made around the point x = However, one can make a Taylor expansion around any arbitrary point x The associated Taylor series can be obtained by replacing the distance ... cients of the two separate stacks Paradoxically, Berry and Klein 8] showed in their analysis of \transparent mirrors" that for a large stacks of layers with random transmission coe cients the total ... CONTENTS Chapter Introduction The topic of this course is the application of mathematics to physical problems In practice, mathematics and physics are taught separately Despite the fact that education...

Ngày tải lên: 17/03/2014, 14:28

... Write Angle ACD = angle ABD Angles on the same arc are equal Angle ACD = angle BAC Alternate angles are equal Angle ABD = angle BAC Both angles are equal to angle ACD Therefore, triangle ABE is ... as a and b that are on alternate sides of the transversal and lie between the parallel lines are equal in size and are called alternate angles c a b d (a) Alternate angles form a shape like a reversed ... e, a pair of angles that are on the same side of the transversal and occupy a similar position are equal in size and are called corresponding angles Angles a and b are corresponding angles, and...

Ngày tải lên: 05/06/2014, 11:32

... Industry – Markets and sources of raw materials – Britain and France – The Russo-Japanese War – Italy and Germany – The race to mobilize – Austria and the East – The outbreak of the First World War – ... One and Only God, Creator of heaven and earth, sun and moon, land and river, plant and beast, and of all mankind as well It was he who raged furiously against them in the storm, but he never abandoned ... decay A body preserved in this manner is called a mummy And today, after thousands of years, these mummies are still intact A mummy was placed in a coffin made of wood, the wooden coffin in one of...

Ngày tải lên: 11/06/2014, 16:00

Ngày tải lên: 31/07/2014, 14:20

... then, a buffer overflow might occur when the data destined for a particular buffer is larger than the memory allocated for that buffer Getting a bit more language specific In the C language, a buffer ... operator comes along and decides that his name needs to be 'lkasdjfklasjdfkljsadfiwojehfioajhdsofjaklsjdf' for the day? Let's see: $ /name Please enter your first name: lkasdjfklasjdfkljsadfiwojehfioajhdsofjaklsjdf ... left as an exercise to the programmer At any rate, let's examine what happens with our curious operator: $ /fname Please enter your first name: laksdfjklajdfkljdsafkljasdklfjkwjeifjwio Hello, laksdfjklajdfkl...

Ngày tải lên: 18/10/2014, 18:09

... Today’s session • Part-1) Java overview (5mins) – What java is – Java features – Java’s cross-platform • Part-2) two simple and typical java programs – A stand-lone java and its running ... JOptionPane allows us to use dialog boxes • Packages – Set of predefined classes for us to use – Groups of related classes called packages • Group of all packages known as Java class library or Java ... return a value String It always has an array of String objects as its formal parameter the array contains any arguments passed to the program on the command line the source file’s name must match...

Ngày tải lên: 23/10/2014, 13:55

... we say they have a passive vocabulary At 12 months, Steven had a passive vocabulary of a dozen words, and an active vocabulary of none But that was about to change A week or so after that little ... before an English-learning baby realizes that ‘ma-ma’ actually has a meaning How we know that the baby has no idea what it’s saying? Because we hear the same ‘ma-ma-ma’ sound being used in all sorts ... sounds are strung together in a certain way, things start to happen Say ‘dada’, and the man talks to you Say ‘mama’, and the woman does Say ‘bye-bye’, and people wave at you Say ‘all gone’, and...

Ngày tải lên: 17/03/2016, 23:00

... nhanh chóng có mặt thời gian tới Giới thiệu blueup IELTS Bộ sản phẩm flashcard blueup IELTS bao gồm 1100 từ vựng, chia thành 11 khác thuộc từ “Cambridge Vocabulary for IELTS” Pauline Cullen B a ... Cullen B a IELTS B a IELTS2 blueup hy vọng với blueup IELTS giúp bạn tạo tảng vững trước tham gia kỳ thi IELST blueup triển khai IELTS IELTS Mua flashcard blueup nào? Sản phẩm flashcard blueup thị ... TOEIC” Trong giai đoạn tháng 10 tháng 11 năm nay, blueup khởi động TOEIC B a TOEIC B a TOEIC2 Giới thiệu blueup TOEFL Bộ sản phẩm flashcard blueup TOEFL iBT bao gồm 1500 từ vựng, chia thành 15 khác...

Ngày tải lên: 02/10/2012, 12:02

Ngày tải lên: 03/01/2014, 22:30

... Glycosaminoglycan kass (M)1Æs)1) Antithrombin Thrombin – Heparin Heparan High affinity heparin Heparin pentasaccharide – Heparin Heparan High affinity heparin Heparin pentasaccharide – Dermatan sulfate ... Calcium enhances heparin catalysis of the antithrombin-Factor Xa reaction by a template mechanism: Evidence that calcium alleviates Gla domain antagonism of heparin binding to Factor Xa J Biol ... Heparin cofactor II activation by dermatan sulfate Ann N Y Acad Sci 556, 116–122 60 Maimone MM & Tollefsen DM (1990) Structure of a dermatan sulfate hexasaccharide that binds to heparin cofactor...

Ngày tải lên: 20/02/2014, 02:21

... proof of any given result A proof is part of a situational ethic Situations change, mathematical values and standards develop and evolve, and thus the very way that we mathematics will alter and ... outlined above Along the way, we are able to acquaint the reader with the culture of mathematics: who mathematicians are, what they care about, and what they We also give indications of why mathematics ... the way that we discover mathematics Today there is a remarkable mathematics journal called Experimental Mathematics This journal—in a constructive way—flies in the face of mathematical tradition...

Ngày tải lên: 21/02/2014, 09:20

... captains—“They’re all great guys, and this way they can all put ‘Captain’ on their resumé,” he says Their calisthenics, a parody of a typical team’s cals, include such exercises as Mary Catharine ... hundredgo! All thatdetails—was to have a trailer mere innesota was a remained—after tying up a two logistical hitch affixed to the family station wagon, rent a U-Haul, and hit the trail! If you need a ... had grown weary of serial gridiron thrashings at the hands of Concordia, St Olaf’s, and Gustavus Adolphus Gagliardi was hired, and college football hasn’t been the same since All his seniors are...

Ngày tải lên: 24/03/2014, 02:21

... disclaimers of certain implied warranties or the exclusion or limitation of certain types of damages If any disclaimer or limitation set forth in this agreement violates the law of the state applicable ... must, at no additional cost, fee or expense to the user, provide a copy, a means of exporting a copy, or a means of obtaining a copy upon request, of the work in its original "Plain Vanilla ASCII" ... him that his mother was ill She had always been a good mother, kind of heart, great of hope for her little boy, and probably she sympathized with the hard lot that made him have to work so early...

Ngày tải lên: 30/03/2014, 00:20

... that of ADK since they share the base AD and are both trapped between the parallels AD and CJ Thus CAD is half the area of ADJK Similarly, IAB is half the area of ACHI 1 The Theorem of Pythagoras ... Reid, Julia; A Life in Mathematics, Mathematical Association of America, 1996 This is a very pleasant little volume on the life and work of Julia Robinson It contains an “autobiography” actually written ... central Translations, by their very nature, are interpretations Sometimes in translating mathematics, a double translation is made: from natural language to natural langauge and then into mathematical...

Ngày tải lên: 12/05/2014, 03:56

... impression of a supermassive black hole at the center of a galaxy (NASA/MAXIM) Andrea Ghez, Astronomer, answered one of astronomy’s more important question by reporting that a monstrous black hole ... to social sciences, humanities, law, medicine and health related programs Steps to Success Extenuating Circumstances “Extenuating circumstances that may have resulted in less than ideal academic ... less than ideal academic credentials for graduate school.” Dr Liza Cariaga-Lo, Assistant Dean, Yale Graduate School of Arts and Sciences http://career.berkeley.edu/Article/041112b-so.stm Keep this...

Ngày tải lên: 28/05/2014, 15:13

... Heron of Alexandria, 156 The Decline of Greek Mathematics, 159 Nicomachus of Gerasa, 159 Diophantus of Alexandria, 160 Pappus of Alexandria, 164 The End of Alexandrian Dominance, 170 Proclus of Alexandria, ... always the temptation in a class in history of mathematics to assume that the fundamental purpose of the course is to teach mathematics A departure from mathematical standards is then a mortal ... and Decimal Fractions, 178 Values of Pi, 180 Thirteenth-Century Mathematics, 182 10 Ancient and Medieval India Early Mathematics in India, 186 The Sulbasutras, 187 The Siddhantas, 188 Aryabhata,...

Ngày tải lên: 30/05/2014, 23:01

... reduce hardware costs, yet maintain an application’s overall accuracy A maximum relative representation error (MRRE) [18] is used as one of the indices of floating-point arithmetic accuracy, as shown ... weights, and the weights are adjusted during training The operation of the network consists of two stages: forward pass and backward pass or back-propagation In the forward pass, an input pattern ... using MATLAB and real face data, finally, the total accumulated error of the neural network is obtained as shown in Table 11 Result and Discussion 4.1 FPGA Synthesis Results The FPGA-based face detector...

Ngày tải lên: 21/06/2014, 20:20

... (ICASSP ’01), vol 4, pp 2621–2624, Salt Lake City, Utah, USA, May 2001 [6] M A Aldajani and A H Sayed, “Stability and performance analysis of an adaptive sigma-delta modulator,” IEEE Transactions ... Processing, vol 2007, Article ID 16286, pages, 2007 [8] G S Tombras and C A Karybakas, “New adaptation algorithm for a two-digit adaptive delta modulation system,” International Journal of Electronics, ... M A Aldajani and A H Sayed, A stable adaptive structure for delta modulation with improved performance,” in Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal...

Ngày tải lên: 22/06/2014, 19:20