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Extra Credit Problem
Extra Credit Problem
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William Slatton
Càlcul 1. Parcial 2014p
Càlcul 1. Parcial 2014p
Solucions del parcial del día 9/4/2015.
Jordi Saludes
TEORÍA DE NÚMEROS
TEORÍA DE NÚMEROS
Teoría de números
Sebastian Alzate
Real Analysis I (Workshop 2)
Real Analysis I (Workshop 2)
Real Analysis Workshop 2 1.3.10
Philip Mak
Convolution Image-based Watermarking for 2D Greyscale Image
Convolution Image-based Watermarking for 2D Greyscale Image
Watermarking technique for the image is an efficient method for protecting copyright image, and also a huge topic in cryptography. In this paper, two spread spectrum watermarking scheme, the Convolution Image-based Model (CIM) and the Exponential Convolution Image-based Model (ECIM) are going to be formulated and discussed. The watermarking experiment result will be shown and discussed, focusing on the attack scheme, protectability, and the information encryption of the watermark. We will show that the convolution image-based model for invisible watermark is weak of protectability, but it is able to hide the information (the size of watermark must be less than the original image) and store inside the image.
Homer
The summation of all prime numbers
The summation of all prime numbers
A proof is given that the summation of all prime numbers can be assigned the value of 13/12, as well as values that can be assigned to the summation of all multiples and all odd multiples.
Fernando Franco Félix
Juggling Card Sequences
Juggling Card Sequences
Math project.
esuhadolnik
Using the One Dimensional Wave Equation to Represent Electromagnetic Waves in a Vacuum
Using the One Dimensional Wave Equation to Represent Electromagnetic Waves in a Vacuum
The differential wave equation can be used to describe electromagnetic waves in a vacuum. In the one dimensional case, this takes the form $\frac{\partial^2\phi}{\partial x^2}-\frac{1}{c^2}\frac{\partial^2\phi}{\partial t^2} = 0$. A general function $f(x,t) = x \pm ct$ will propagate with speed c. To represent the properties of electromagnetic waves, however, the function $\phi(x,t) = \phi _0 sin(kx-\omega t)$ must be used. This gives the Electric and Magnetic field equations to be $E (z,t) = \hat{x} E _0 sin(kz-\omega t)$ and $B (z,t) = \hat{y} B _0 sin(kz-\omega t)$. Using this solution as well as Maxwell's equations the relation $\frac{E_0}{B_0} = c$ can be derived. In addition, the average rate of energy transfer can be found to be $\bar{S} = \frac{E_0 ^2}{2 c \mu _0} \hat{z}$ using the poynting vector of the fields.
Eric Minor
Estudio del proceso termodinámico en una máquina de expreso
Estudio del proceso termodinámico en una máquina de expreso
Estudio de los procesos termodinámicos que conllevan una máquina de expreso. Se utiliza solo agua, sin el filtro de café para utilizar solo la densidad del agua. Se encuentra que es similar a un proceso de Carnot, pero como un ciclo abierto.
Luis Alberto González José

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