Time Complexity - CS1001.py
... Using iterated squaring, we can compute ab for any a and, say, b = 2100 − 17 (= 1267650600228229401496703205359). This will take less than 200 multiplications, a piece of cake even for an old, faltering machine. A piece of cake? Really? 200 multiplications of what size numbers? For any integer a 6= ...
... Using iterated squaring, we can compute ab for any a and, say, b = 2100 − 17 (= 1267650600228229401496703205359). This will take less than 200 multiplications, a piece of cake even for an old, faltering machine. A piece of cake? Really? 200 multiplications of what size numbers? For any integer a 6= ...
Regular Languages and Finite Automata
... then the set is {a, aa, aaa, . . .}, which is regular, since it can be written A∗ A where A = {a}. INDUCTION STEP: r > 1. CASE 1: a = ā. In this case any string connecting a to ā is of the form a → a → a → . . . a → a, where the number of a →’s is ≥ 0 and each → represents independently the empty ...
... then the set is {a, aa, aaa, . . .}, which is regular, since it can be written A∗ A where A = {a}. INDUCTION STEP: r > 1. CASE 1: a = ā. In this case any string connecting a to ā is of the form a → a → a → . . . a → a, where the number of a →’s is ≥ 0 and each → represents independently the empty ...
Axiomatic Tools versus Constructive approach to Unconventional
... Turing machines, we can find that the first class satisfies the axiom of universality, which affirms existence of a universal algorithm, i.e., a universal Turing machine in this class. However, the class TT does not satisfy this axiom [9]. Analyzing the system of local logics, it is possible to see ...
... Turing machines, we can find that the first class satisfies the axiom of universality, which affirms existence of a universal algorithm, i.e., a universal Turing machine in this class. However, the class TT does not satisfy this axiom [9]. Analyzing the system of local logics, it is possible to see ...
Discussion
... course on the teaching and learning of secondary mathematics. They have developed a plan in which students first encounter what they call “the three basic functions”: sine, cosine, and tangent. They have indicated in their plan that they would next have students work with “the inverse functions,” ap ...
... course on the teaching and learning of secondary mathematics. They have developed a plan in which students first encounter what they call “the three basic functions”: sine, cosine, and tangent. They have indicated in their plan that they would next have students work with “the inverse functions,” ap ...
Lecture 8 1 Equal-degree factoring over finite fields
... polynomial time algorithm. What about a deterministic algorithm? It turns out that if the finite field Fq is small in size (say, q = 5 or 7) then it is indeed possible to factor f deterministically 1 . This is done by reducing the equal-degree factoring problem to a root finding problem over Fq . We ...
... polynomial time algorithm. What about a deterministic algorithm? It turns out that if the finite field Fq is small in size (say, q = 5 or 7) then it is indeed possible to factor f deterministically 1 . This is done by reducing the equal-degree factoring problem to a root finding problem over Fq . We ...
Discrete Structures - CSIS121
... The time required by Dijkstra's algorithm is O(|V|2). It will be reduced to O(|E|log|V|) if heap is used to keep {vV\Si : L(v) < }, where Si is the set S after iteration i. ...
... The time required by Dijkstra's algorithm is O(|V|2). It will be reduced to O(|E|log|V|) if heap is used to keep {vV\Si : L(v) < }, where Si is the set S after iteration i. ...
