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Conjecture is a modular, extensible, open-source C++ framework for Optical Character Recognition (OCR). It is not a single OCR, but rather an extensible collection of OCRs that can be explored, compared, extended and modified within a unified environment
I will be abiding by the rules of the conjecture, where given a range of numbers I will find the number of cycles it takes to complete the Collatz conjecture, and list the largest of cycles that was required for any respective number within the given range. I will implement this in both Java and C++.
CS373 Spring 2011 Project1 Collatz conjecture. Definition of Collatz problem: Take any natural number n. If n is even, divide it by 2 to get n / 2, if n is odd multiply it by 3 and add 1 to obtain 3n + 1. Repeat the process (which has been called "Half Or Triple Plus One", or HOTPO) indefinitely. The conjecture is that no matter what number you start with, you will always eventually reach 1. The property has also been called oneness. (From: http://en.wikipedia.org/wiki/Collatz_conjecture) Google
Currently many niche search engines have adopted what we call a linear/top-down/hierarchical approach. We think the rigidity of this linear/top-down/hierarchical approach may limit the user to search within the classification of the resources. Additionally, there are many forms of metadata which have not been fully exploited during the search process. To overcome the rigidity of linear/top-down/hierarchical search, we propose to experiment with the dynamic query approach used to great effect by
Background: Problems in Computer Science are often classified as belonging to a certain class of problems (e.g., NP, Unsolvable, Recursive). In this problem you will be analyzing a property of an algorithm whose classification is not known for all possible inputs. The Problem: Consider the following algorithm: 1. input n 2. print n 3. if n = 1 then STOP 4. if n is odd then n = 3n + 1 5. else n = n / 2 6. GOTO 2 Given the input 22, the following sequence of numbers will be printed 22 11 34 17 52
Background: Problems in Computer Science are often classified as belonging to a certain class of problems (e.g., NP, Unsolvable, Recursive). In this problem you will be analyzing a property of an algorithm whose classification is not known for all possible inputs. The Problem: Consider the following algorithm: \t\t input n 2. \t\t print n 3. \t\t if n = 1 then STOP 4. \t\t \t\t if n is odd then 5. \t\t \t\t else 6. \t\t GOTO 2 Given the input 22, the following sequence of numbers will be printed
KeplerCode This project provides independent verification of the computational aspects of two related proofs: Thomas Hales' proof of the Kepler conjecture Thomas Hales and Sean McLaughlin's proof of the Dodecahedral conjecture. The two projects share most of their source code, so it is natural to have one repository for both. The repository also also houses the technical details of the latter proof that could not be included in the published version because of space constraints. The technical de
Test for Prime Numbers Summary This project encompasses 5 different tests for primality. The methods implemented are Miller-Rabin, Miller-Rabin Deterministic, Solovay-Strassen, Fermatâ€™s Primality Test and a Brute Force method. In addition to the 5 primality tests, the program is also capable of finding the closest integer to a given upper bound. The largest number it is capable of handling is a 2147483647 bit integer. Primality Tests Miller-Rabin This primality test is a probabilistic primalit
This program finds the maximum cycle length in the range of a pair of numbers using the 3n + 1 algorithm (also known as the Collatz conjecture). The idea of the 3n + 1 algorithm is this: if a given natural number is n, divide it by 2; if n is odd, do 3n + 1. Then repeat this operation until 1 is reached. Each operation counts as a cycle, and the total number of cycles needed to reach 1 is thus the cycle length.