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![The Sum of the Reciprocals of the Squares](https://writelatex.s3.amazonaws.com/published_ver/5492.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240701T231351Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240701/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=ccd110d9377b483a447c718bc0c388c1315d4b51e2833812147cf3db897ee053)
The Sum of the Reciprocals of the Squares
A reproduction of a proof by Leonard Euler, which I dug out of the back of a calculus textbook with the help of Brian Burrell. This was in MATH 233 at the University of Massachusetts, Amherst, Fall 2015.
Samuel Castillo
![Abstract Algebra Lecture Notes](https://writelatex.s3.amazonaws.com/published_ver/1046.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240701T231351Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240701/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=4fb449691e9b9467695c775c7357a42fb8f09f0699620e02f1a2671826f8d5ed)
Abstract Algebra Lecture Notes
This is a set of notes for the first two chapters of an Abstract Algebra course, following the Hungerford textbook table of contents.
One notable feature is the use of a couple of commands that allow one to show only definitions, or only the examples, etc., and another command that allows one to format examples for making handouts.
educkworth
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Ittahad uz zaman
![Applications of Compressive Sensing in Communications and Signal Processing](https://writelatex.s3.amazonaws.com/published_ver/5472.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240701T231351Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240701/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=e537da5cf02a31342d76594e753911dd9e2056fef1566439ee9add908f20b8fa)
Applications of Compressive Sensing in Communications and Signal Processing
Compressive Sensing is a Signal Processing technique, which gave a break through in 2004. The main idea of CS is, by exploiting the sparsity nature of the signal (in any domain), we can reconstruct the signal from very fewer samples than required by Shannon-Nyquist sampling theorem. Reconstructing a sparse signal from fewer samples is equivalent to solving a under-determined system with sparsity constraints. Least square solution to such a problem yield poor `results because sparse signals cannot be well approximated to a least norm solution. Instead we use l1 norm(convex) to solve this problem which is the best approximation to the exact solution given by l0 norm(non-convex). In this paper we plan to discuss three applications of CS in estimation theory. They are, CS based reliable Channel estimation assuming sparsity in the channel is known for TDS-OFDM systems[1]. Indoor location estimation from received signal strength (RSS) where CS is used to reconstruct the radio map from RSS measurements[2]. Identifying that subspace in which the signal of interest lies using ML estimation, assuming signal lies in a union of subspaces which is a standard sparsity assumption according to CS theory[3]. Index terms : Compressive Sensing, Indoor positioning, fingerprinting, radio map, Maximum likelihood estimation, union of linear subspaces, subspace recovery.
mohangiridhar
![Amplificador diferencial](https://writelatex.s3.amazonaws.com/published_ver/5467.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240701T231351Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240701/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=9be384a3c25e00c66a22b84ab4c8ca5e05691d967d19ace1b58058816d0f4aee)
Amplificador diferencial
Este ejemplo representa el esquema de un amplificador diferencial construido con un amplificador operacional y cinco resistencias, el cual se usa para calcular la ganancia de la diferencia de dos señales independientes. Las notaciones son las siguientes:
v1: tensión de entrada 1.
v2: tensión de entrada 2.
R1: resistencia.
R2: resistencia.
RL: resistencia de carga.
vo: tensión de salida.
Este esquema es una adaptación del que se encuentra en el la página 76, Capítulo 1 del texto "Electrónica, 2da Edición" de Allan R. Hambley, publicado en idioma español por la editorial Pearson Educación.
Ramón
![Metro Diaries](https://writelatex.s3.amazonaws.com/published_ver/289.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240701T231351Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240701/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=f8965ee0736aaa79c3107d2f8364449dab41cdc965f7590124d9e5aa541a9788)
Metro Diaries
A beamer presentation in LaTeX with facts and figures about metro rail networks in India and particularly Chennai.
Umesh
![Mathematical Rings](https://writelatex.s3.amazonaws.com/published_ver/12036.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240701T231351Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240701/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=104f63f179a533ee3a5e57a4c3bead32416a4c4e70f1f5eac4c029aab9cee2ce)
Mathematical Rings
Mathematical Rings
YOGESH MALIK
![Akash Agarwal's Résumé](https://writelatex.s3.amazonaws.com/published_ver/3440.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240701T231351Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240701/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=98300ea5d5bc7945b616691b40f07e5dfe236c5dcbbece10803e935cad29d104)
Akash Agarwal's Résumé
Akash Agarwal's Résumé
Akash Agarwal
![A Quick Introduction](https://writelatex.s3.amazonaws.com/published_ver/2897.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240701T231351Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240701/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=d6c84783150ac5d1ca3fc61c11b7afc084675d655daa3332bcfa3c333a8e6aca)
A Quick Introduction
This article aims to be a model LaTeX document while teaching you the basics of what it is and how to use it. It contains all of the basic constructs you are likely to encounter as you write your first papers and articles. This article will not go into detail about how to get started with a local installation of LaTeX.
Sean Allred