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induced subgraphs
induced subgraphs
induced subgraphs question
Jimmy Cao
FSU-MATH2300-Project2
FSU-MATH2300-Project2
A second project for Calculus 1 at Fitchburg State. Explore the proofs of some of the derivative rules and derive new rules from old.
Sarah Wright
LEYES DE NEWTON
LEYES DE NEWTON
Preinforme guia de laboratorio L4.
Yeimi Johana Blanco Santos
MDA HW1
MDA HW1
Multivariate analysis
Mbukam Edward
Tarea 5
Tarea 5
TABLA EQUIVALENCIAS CUANTIFICADORES
larry061198
FSU-MATH2400-Project3-IncludesSampleSolution
FSU-MATH2400-Project3-IncludesSampleSolution
In this project, students create a two-dimensional shape with nonuniform density, finds its center of mass, and hang it from a mobile. The various portion of the project address the differences and relationships between computing the center of mass of a discrete set of point masses and a lamina. Included here is also a sample solution to help students formulate their own well-written solutions. Also, in the LaTeX code are a few comments to address some of the basics of LaTeX and Overleaf.
Sarah Wright
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

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