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Break a new ground the network switching theory.Review Date: 2002-03-24
Break a new ground the network switching theory.Review Date: 2002-03-24
Existing router and switch vendors use network flow probability models to simulate the performance and blocking probability of a switching matrix design. This trial and error approach has no guarantee on the performance and implementation complexity.
Prof. Li breaks a new ground by using algebra calculation in the switching fibric representation. By his 20+ years research, his algebra algorithm has an unique ability in handling non-blocking switching, Time-Space-Time 3-phase switching and concentrator/sorter implementation. And he suggests some interesting implementation oriented design in reducing implementation complexity in a manhatten VLSI layout.
This book covers Prof. Li's lifetime work and his research in switching, probability models and information theory. It worths any information engineers for a deep look, and it's a fanastic reference book for any switching researchers.
John Ho :-p

Used price: $60.00

A work of outstanding mathematical scholarshipReview Date: 2002-05-25
Related algorithms such as the lattice reduction algorithm of Lenstra, Lenstra, and Lovasz, and elliptic curve point counting over finite fields are not covered.
Three outstanding features of this book are:
1) The extensive chapter end notes that provide a comprehensive review of the history and state of the art for each topic addressed in the book. These notes are so detailed that they are like having a mini book within a book. Anyone doing research in the field would do well to own this book for this reason alone.
2) Exhaustive bibliography, all together there are over 1750 bibliographic entries.
3) Applications of the RH and ERH(Riemann Hypothesis and Extended Riemann Hypothesis). I know of no other single reference that covers the consequences of these conjectures being true in terms of primality testing, quadratic non-residue testing, primitive root finding and so on.
The algorithms are presented in pseudo code and practical implementation remarks are reserved for the notes section of each chapter.
Recommended for upper level undergraduates and all the way on up to faculty.
As a bonus the book is a real pleasure to view due to the excellent job done in the layout and typesetting.
I look forward to volume two which will focus on algorithms for intractable problems for which efficient (polynomial time) algorithms are NOT known such as factoring and the discrete log problem.
Excellent ReferenceReview Date: 1999-10-13
The part of the book that I like best are the last two chapters which deal with prime numbers and algorithms for primality testing. The authors have done an exhaustive survey of this area. Proofs of the correctness of the algorithms are wonderfully concise and lucid. The second volume [not published yet] will discuss problems for which efficient algorithms are currently unknown for example factoring, discrete log etc. The authors also promise coverage of the Adleman, Huang proof that Primes \in ZPP.
Exercises have been chosen carefully, and most of the solutions are available as an appendix (for the others references are given). Finally the bibliography is *huge* with close to 2000 citations. Overall an excellent book for reference and for a one stop introduction to the wonderful area of Algorithmic Number Theory.

Used price: $59.90

Great Book on IT-Business Co-ordinationReview Date: 2007-02-09
Finally a scientific way to determine Alignment !Review Date: 2007-01-22

A must for any aviation buff.Review Date: 1998-06-08
As one of the Condor crew, I think this book was the best.Review Date: 1998-04-22


Excellent Text BookReview Date: 1998-06-09
Highly professional and informative.Review Date: 1999-07-01

Used price: $105.13

Great book for explaining the basis of analog filter designReview Date: 2007-09-30
In the chapters that follow, the functions of a filter are studied in combination with the frequency-response approximation used by filter designers: Butterworth, Chebyshev, Bessel-Thompson, inverse Chebyshev, and elliptic. Chapter 14 treats the synthesis of doubly terminated passive ladders. This, together with Chapter 11, constitute an introduction to passive filter design. An important conclusion is reached in Chapter 14 in regards to sensitivity - the passive ladder circuit has low sensitivity. The study of simulated ladder circuits is begun in chapters 15 through 17. Simulation of the passive ladder is accomplished in three ways: by introducing new elements which make it possible to exclude the inductor, through the simulation of the block diagram representation of the ladder, and through the simulation of resistors using switched capacitors. All of these methods are discussed.
In spite of its academic origins this really is a very helpful design book. It has the circuits side by side with the math, and it also has design rules in numbered steps with very good illustrations and examples throughout. I highly recommend it for the library of the practicing engineer as well as the student.
An excellent introductory text about analog filter design.Review Date: 1996-07-30

Really good bookReview Date: 2001-09-19
Leading book on data converter by a leading expertReview Date: 2000-06-24

Excellent Work!Review Date: 2000-02-08
an excellent, graduate level book on electric machineryReview Date: 2000-07-27
Used price: $69.95

More Utility from the Book Than You'd ExpectReview Date: 2008-03-13
The book deals with "combinatorial optimization" problems. These are problems where there are (1) a gigantic number of discrete configurations that are possible, (2) a way of scoring how desirous a configuration is, and (3) ways to change the configuration from the present one. Examples include the scheduling problem of how to assign 20 workers to one job apiece for 20 jobs (with different worker/job pairings having different costs); and, of course, the famous traveling salesman problem -- requiring precisely one visit to each of N cities and a return to the first.
The most easily understood algorithm to solve combinatorial optimization is BLIND RANDOM SEARCH (BRS): generate a random configuration, score it, repeat (always keeping the best score yet encountered and its corresponding configuration saved in memory). You can have stop criteria as you wish -- including an OR'd pair (which I find to be itself a great improvement) -- such as UNTIL (a) score is X good or better OR (b) you've generated N random configurations.
BRS performs relatively poorly. A HUGE improvement is an algorithm called "Iterative Improvement" (II). This algorithm is covered on pages 6 thru 8 of the book. The idea is to take a BRS configuration then do some modest moves around that configuration -- scoring and repeating until you had k failures to improve. The best obtained is that one BRS "point". Generate a new BRS point and compare to the old as usual, but now the II loop probably substantially improved that old BRS score to which you are comparing.
Both BRS and II involve only "downhill" moves. Only a lower score and its companion configuration are kept and a new configuration never becomes the current one if its score is worse. The danger is "getting stuck" in a local minimum as opposed to the global minimum (truly best score). To avoid this danger there is the "probabilistic hill-climbing" algorithm of Metropolis. An improved configuration (one with a better score) still becomes the next current configuration, but you have some probability of taking the next current configuration as being the current contendor even if this contendor configuration has a worse score. The probability is related to the score and a parameter that might be thought of as temperature.
From the probabilistic hill-climbing algorithm of Metropolis, all you need to get to an annealing algorithm is a schedule for appropriately reducing the "temperature" parameter (which controls up-hill acceptance probability) in successive steps. The analogy is freezing a liquid to get its perfectly crystalline line-up of atoms, free of defects. Go too fast and you may get a glass rather than a crystal.
The book's chief aim is how to recommend IN GENERAL, without recourse to your specific problem, a schedule for the "temperature" changes. If this be your aim in considering the book, well it goes without saying you need not consider further: here's your book.
But what about the less technical reader? First of all, the book does gently introduce you to combinatorial optimization, blind random search, Metropolis and annealing. Second, the few pages on Iterative Improvement are EMINENTLY USEFUL in a PRACTICAL sense -- and are a good simple alternative to annealing (my example will be at the end). Third is that the book includes several ancillary extras.
The ancillary extras:
· tutorial on all of matrix mathematics
· tutorial on Markov Chains
· material on probability and conditional probability
· tutorial on Statistics -- esp. w.r.t. the Normal distribution and Central Limit Thm
I'm not saying that the ancillary extras are the best there is for a novice level reader, but most folks would not know of the existence of this material in a book called "The Annealing Algorithm".
The final bit of ancillary material is Pascal computer code for all the algorithms in the book and a complete program for doing the whole annealing bit on the electronic chip placement combinatorial problem.
MY EXAMPLE OF UTILITY OF ITERATIVE IMPROVEMENT ALGORITHM:
My problem is not combinatorial optimization, but can still use the ideas of iterative improvement since I am solving a deterministic problem (one without any random element) using Monte Carlo methods (using random numbers). My problem: I have the coordinates of the midpoint of a line segment; the line segment's length is also known and is roughly one-fourth the diameter of a circle; the line segment lies the annular area between this circle and a circle with a radius half-a-line-segment bigger radius than that of the original circle; lastly, given the rotation angle of my line segment, I ask this: what are the coordinates (x,y) of the intersection of the line segment and the original circle? (I took steps to check that YES, there was an intersection.) Solving the problem analytically didn't work. (Or at least, I couldn't do it.) I had used a BRS Monte Carlo approach. Then, re-reading this book, it occurred to me to use the book's algorithm (Iterative Improvement) on pages 6-8 (Pascal code page 8). I got a big improvement in lowering the error. Obviously, I had to delete details in this review (like how I even know error in my problem, and if I do know it, why can't I fix it exactly -- hint: circle is the locus of all points equidistant from a given point), but the POINT FOR YOU is that I attained a great improvement in my problem just by using the book's explicit algorithm (Pascal code) for Iterative Improvement.
Finally, the book is nice to read -- both very easy-on-the-eyes typography (unusual for a "math" book) and a good flow to the authors' writing.
The Annealing Algorithm from Kluwer Academic PublishersReview Date: 2007-12-12

Used price: $94.25

An efficient introduction to mathematical solutions in APL.Review Date: 1999-09-28
Don't be Fooled by the Title: The Best APL Primer AroundReview Date: 2004-12-22
I appreciated the updated reference for some of the more antiquated terms which may appear in other volumes of earlier vintage. No longer is fuzz tolerance, stack clear, clear stack, or such antiquated terminology present to confuse the reader. No more thorns, here. A simple )RESET sets everything clear.
Those familiar with the Interactive Approach would appreciate that A Rose is a Rose, and the standard for much of what we do, but for the newly initiated into the Magic of APL, Reiter makes all of the initial steps very )CLEAR.
The thema thoughout the excellent text/reference/adjunct to mathematical course is that set theory, Boolian Algebraic processes and APL work hand-in-hand.
After demonstrating basic skills in monadic and dyadic operators, the reader can go to DEL and really begin to gain the experience of just what APL is all about.
Again, )SAVE APL ! with all of its factorials and permutations. Reiter has certainly helped to do so by providing a work which will hopefully introduce a whole new generation to APL.
An excellent work by an erudite writer.
Jerrell L. Driver, Ph.D.
Licensed Psychologist
Health Services Provider Certified
Missouri PY00099
APL
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Existing router and switch vendors use network flow probability models to simulate the performance and blocking probability of a switching matrix design. This trial and error approach has no guarantee on the performance and implementation complexity.
Prof. Li breaks a new ground by using algebra calculation in the switching fibric representation. By his 20+ years research, his algebra algorithm has an unique ability in handling non-blocking switching, Time-Space-Time 3-phase switching and concentrator/sorter implementation. And he suggests some interesting implementation oriented design in reducing implementation complexity in a manhatten VLSI layout.
This book covers Prof. Li's lifetime work and his research in switching, probability models and information theory. It worths any information engineers for a deep look, and it's a fanastic reference book for any switching researchers...