Speeding Up HMM Decoding and Training by Exploiting Sequence
... way to construct X 0 (in step III). Our approach for constructing X 0 is to first parse X into all LZ-words and then apply the following greedy parsing to each LZ-word W : using the trie, find the longest good substring w0 ∈ D that is a prefix of W , place a parsing comma immediately after w0 and re ...
... way to construct X 0 (in step III). Our approach for constructing X 0 is to first parse X into all LZ-words and then apply the following greedy parsing to each LZ-word W : using the trie, find the longest good substring w0 ∈ D that is a prefix of W , place a parsing comma immediately after w0 and re ...
Constant-Time LCA Retrieval
... In a rooted tree T, the Lowest Common Ancestor (LCA) of two nodes u and v is the deepest node in T that is the ancestor of both u and v. ...
... In a rooted tree T, the Lowest Common Ancestor (LCA) of two nodes u and v is the deepest node in T that is the ancestor of both u and v. ...
Los Angeles Unified School District
... a. Circle the smallest number that appears on both lists. This is the LCD. b. Write equivalent fractions, using the LCM as the denominator. or 1. Use each denominator as a multiplier for the other fraction.* a. Multiply the first fraction (numerator and denominator) with the second fraction’s denomi ...
... a. Circle the smallest number that appears on both lists. This is the LCD. b. Write equivalent fractions, using the LCM as the denominator. or 1. Use each denominator as a multiplier for the other fraction.* a. Multiply the first fraction (numerator and denominator) with the second fraction’s denomi ...
Linear Systems
... Approach - The computation is blocked in such a way that the resulting algorithm is rich in matrix multiplication, assuming that q and n are large enough. It is sufficient to consider just the lower triangular case as the derivation of block back substitution is entirely analogous. We start by par ...
... Approach - The computation is blocked in such a way that the resulting algorithm is rich in matrix multiplication, assuming that q and n are large enough. It is sufficient to consider just the lower triangular case as the derivation of block back substitution is entirely analogous. We start by par ...
A+B
... Every positive integer greater than 1 can be written uniquely as a prime or as the product of two or more primes where the prime factors are written in order of nondecreasing size. • Example 2: The prime factorizations of 100, 641 , 999 and 1024 are given by ...
... Every positive integer greater than 1 can be written uniquely as a prime or as the product of two or more primes where the prime factors are written in order of nondecreasing size. • Example 2: The prime factorizations of 100, 641 , 999 and 1024 are given by ...
Induction
... • Show that if P(2) and P(3) and … and P(n), then P(n + 1) for any nN. (inductive step) Two possible cases: • If (n + 1) is prime, then obviously P(n + 1) is true. • If (n + 1) is composite, it can be written as the product of two integers a and b such that 2 a b < n + 1. By the induction hypot ...
... • Show that if P(2) and P(3) and … and P(n), then P(n + 1) for any nN. (inductive step) Two possible cases: • If (n + 1) is prime, then obviously P(n + 1) is true. • If (n + 1) is composite, it can be written as the product of two integers a and b such that 2 a b < n + 1. By the induction hypot ...
Lecture 1: Getting Started With Python
... Quandry Modern computers are computationally powerful and capable of carrying out different tasks, but how to we get them to do what we want? Resolution Program Detailed and precise set of instructions specifying how a computational task should be completed Programmming language Notation in which a ...
... Quandry Modern computers are computationally powerful and capable of carrying out different tasks, but how to we get them to do what we want? Resolution Program Detailed and precise set of instructions specifying how a computational task should be completed Programmming language Notation in which a ...
20_induction
... Starting from a negative number doesn't change the applicability of induction, but be careful when stating the inductive hypothesis and when proving the inductive step! ...
... Starting from a negative number doesn't change the applicability of induction, but be careful when stating the inductive hypothesis and when proving the inductive step! ...
Sieve of Eratosthenes
In mathematics, the sieve of Eratosthenes (Ancient Greek: κόσκινον Ἐρατοσθένους, kóskinon Eratosthénous), one of a number of prime number sieves, is a simple, ancient algorithm for finding all prime numbers up to any given limit. It does so by iteratively marking as composite (i.e., not prime) the multiples of each prime, starting with the multiples of 2.The multiples of a given prime are generated as a sequence of numbers starting from that prime, with constant difference between them that is equal to that prime. This is the sieve's key distinction from using trial division to sequentially test each candidate number for divisibility by each prime.The sieve of Eratosthenes is one of the most efficient ways to find all of the smaller primes. It is named after Eratosthenes of Cyrene, a Greek mathematician; although none of his works have survived, the sieve was described and attributed to Eratosthenes in the Introduction to Arithmetic by Nicomachus.The sieve may be used to find primes in arithmetic progressions.