منابع مشابه
Sampling and other Stuff
Lemma 1.2 Given y, z, x, w ∈ ZZp, such that x 6= w, and choosing a, b randomly and uniformly from ZZp, the probability that y ≡ ax+ b (mod p) and z = aw + b (mod p) is 1/p2. Proof: This equivalent to claiming that the system of equalities y ≡ ax+ b (mod p) and z = aw+ b have a unique solution in a and b. To see why this is true, subtract one equation from the other. We get y−z ≡ a(x−w) (mod p)....
متن کاملMatrix Differentiation ( and some other stuff )
Throughout this presentation I have chosen to use a symbolic matrix notation. This choice was not made lightly. I am a strong advocate of index notation, when appropriate. For example, index notation greatly simplifies the presentation and manipulation of differential geometry. As a rule-of-thumb, if your work is going to primarily involve differentiation with respect to the spatial coordinates...
متن کاملMolecular evolution. Genome duplications: the stuff of evolution?
One of biology's greatest mysteries is how an organism as simple as a one-celled bacterium could give rise to something as complicated as a human. Thirty years ago, prominent geneticist Susumu Ohno of the City of Hope Hospital in Los Angeles put forth what many of his colleagues then considered an outrageous proposal: that great leaps in evolution --such as the transition from invertebrates to ...
متن کاملDecay stuff
Sections 3, 4 and 5 give results under Lp assumptions without any further assumptions on the decay rates. Section 3 deals with the case r ∈ Lp, p > 2. Section 4 generalises to p > 1. Section 5 covers the case p = 1 for mean zero observables. There is still the general p = 1 case to consider! The optimal result in the stretched exponential case is given in Section 6. Section 7 gives an alternati...
متن کاملDigital Evolution
Rich Lenski decided he was onto a good thing from his very first encounter with digital evolution. It all began when he used the technology in which artificial organisms in the form of computer code evolve independently by selfreplicating, mutating, and competing to re-examine an earlier study with bacteria. The original study had contradicted ‘some influential theory’ suggesting that random mu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Journal of The Institute of Image Information and Television Engineers
سال: 2006
ISSN: 1881-6908,1342-6907
DOI: 10.3169/itej.60.k17