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![Brachistochrone Problem Solved](https://writelatex.s3.amazonaws.com/published_ver/8141.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240701T121937Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240701/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=1ba23e3f11c71f774715e4f85ba697e2c5b693b2e1122d07c9339d1a2f39f6ee)
Brachistochrone Problem Solved
Solving Brachistochrone Problem
Adrian D'Costa
![Child and Adolescent Oral Health](https://writelatex.s3.amazonaws.com/published_ver/6385.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240701T121937Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240701/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=75d6fbd8020daf225bf7b7fa4811419e4ed1520f0adfa0e1859f4a2786be135a)
Child and Adolescent Oral Health
Improper oral care is often an unintentional lifestyle that can lead to a variety of health issues. Lacking access to oral health care services is a problem faced by many, which can lead to adverse economic and health consequences. Tooth decay is one of the earliest indicators of inadequate oral health care in children. By utilizing a preventative approach that o ers u- oride tablets to elementary children in uoride-de cient com- munities, the prevalence of oral cavities can be combated.
Punita Peketi
![Definition Homework](https://writelatex.s3.amazonaws.com/published_ver/1594.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240701T121937Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240701/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=74aa4fad7fe9fff2e29d126ca3d22dfe199c59cb92a70ffe1e363315bce212ff)
Definition Homework
Latex assignment of the definition of a derivative
Joshua Garrett
![Een spiraal van rechthoeken rond een vierkant](https://writelatex.s3.amazonaws.com/published_ver/6364.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240701T121937Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240701/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=f156ed557fe56944d44cd95ebc74625d134894869a87076d111b65dd1e07dfbe)
Een spiraal van rechthoeken rond een vierkant
Sinds enkele jaren ben ik op zoek naar eenvoudige wiskundige en fysische problemen die onverwacht gerelateerd zijn met het getal \(\pi\). In The bouncing balls and pi beschreef ik eerder al hoe de opeenvolgende decimalen van \(\pi\) kunnen berekend worden door twee ballen volledig elastisch tegen elkaar en tegen een muur te laten botsen. In dit artikel zal ik aantonen hoe het getal \(\pi\) tevoorschijn komt door een oneindige serie rechthoeken met oppervlakte 1 spiraalsgewijze aan elkaar te kleven. In een veralgemening van dit probleem duikt op een natuurlijke wijze de gammafunctie en de formule van Stirling op.
Van den Broeck Luc
![ProofOfEuler'sFormula](https://writelatex.s3.amazonaws.com/published_ver/8139.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240701T121937Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240701/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=2ed3d8b412aaec8dfea44ef900957c8b221193a7b489de956a68a97ae5799ab0)
ProofOfEuler'sFormula
Proof of Euler's Formula
Adrian D'Costa
![Calculating the Probability for Winning a 649 Lottery](https://writelatex.s3.amazonaws.com/published_ver/8138.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240701T121937Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240701/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=9cccb36c3ac48bc0d6d2f49e854dfc05cb0e7837cb2f46c6e969dca134ad5b98)
Calculating the Probability for Winning a 649 Lottery
Calculating the Probability for Winning a 649 Lottery using Probability.
Adrian D'Costa
![Handleiding voor RSA-krakers](https://writelatex.s3.amazonaws.com/published_ver/6356.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240701T121937Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240701/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=26497fcf347063d9d84e252a00ef3448162ee1be26a75fd256aadf0724a402bf)
Handleiding voor RSA-krakers
Achter de ontdekking van de RSA-codes zit heel wat mooie wiskunde, voornamelijk uit de getaltheorie. De wiskundige die onbewust hebben bijgedragen tot de ontdekking van de RSA-codes zijn Eratosthenes, Euclides, Fermat, Euler, Gauss, Bezout en Bachet. De wiskundigen die de RSA-codes bewust hebben ontdekt zijn Rivest, Shamir en Adleman. In deze cursus laten we zien welke bijdrage al deze wiskundigen hebben geleverd aan de codetheorie. We leggen eveneens uit hoe het RSA-codes-mechanisme werkt en hoe deze codes worden gekraakt. De softwarepakketten die hiervoor gebruikt worden zijn Derive (voor het didactische aspect) en Sage (voor de rekenkracht en voor het programmatorisch aspect)
Van den Broeck Luc
![YAACT: A genetic algorithm tool for code coverage analysis](https://writelatex.s3.amazonaws.com/published_ver/1552.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240701T121937Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240701/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=c5113e7461b102ec28f65944fefcc530476633ad8058187a9b0bef6a9ede951e)
YAACT: A genetic algorithm tool for code coverage analysis
Testing is both technically and economically an important part of high quality software production. It has been estimated that testing accounts for half of the expenses in software production. Much of the testing is done manually or using other labor-intensive methods. It is thus vital for the software industry to develop efficient, cost effective, and automatic means and tools for software testing. Researchers have proposed several methods over years to generate automatically solution which have different drawbacks. This study examines automatic software testing optimization by using genetic algorithm approaches. This study will cover two approaches: a) obtain the sequence of regression tests that cover the greatest amount of code and b) once it is achieved another genetic algorithm will eliminate tests cases that cover the same section of code on the basis of still get the maximum code coverage. The overall aim of this research is to reduce the number of test cases that need to be run with the greatest amount of code covered.
Victor Rodriguez /Jindrizca Domingez
![Consideraciones Mecánicas de Sistemas Solares Fotovoltaicos](https://writelatex.s3.amazonaws.com/published_ver/1546.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240701T121937Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240701/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=8d027f12a542052de20e70cdc05655a255134c7817304a3ea5d8972632287a6e)
Consideraciones Mecánicas de Sistemas Solares Fotovoltaicos
Consideraciones mecánicas en la instalación de Sistemas Solares Fotovoltaicos
Mauricio Zelaya Aguilar