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## Problem/QM-07010

A physical system has dynamical variables $X,Y,Z$ represented by the  $2\times2$ Pauli matrices $\sigma_x,\sigma_y,\sigma_z$.

Compute the average $$\langle f|Y|f \rangle$$  and the uncertainty $\Delta Y$ for the variable $Y$ if the state is given to be     $$f = \begin{pmatrix}1+3i \\3-i \end{pmatrix}$$  What does the value  for $\Delta Y$ suggest? Give your remarks, if any.

## What is a gauge? A lively discussion by experts on Face-book

##### Sudhir Raniwala
Yesterday at 10:16 ·

 A student asked a question that I do not have an answer to, and need an answer that satisfies me.

## It is never too late to learn: Green A short biography

Green function are imprtotant tools part of every physicists arsenal. They appear every where fron electrodynamics to optics and fluid dynamics andto quantum field theory. Here is an extract  briefly describing his times. He entered Cambridge as graduate student at the age of 40.

## Machine Learning Vs Deep Learning with examples and use case

### What is Machine Learning?

Definition of Machine learning by Tom Mitchell best explains machine learning :

“A computer program is said to learn from experience E with respect to some class of tasks T and performance measure P if its performance at tasks in T, as measured by P, improves with experience E

## Short Notes on Computer Science topics

These are single line facts on the various topic of Computer Science. Might be useful for revision.

## Security vulnerabilities and their solutions (Struts 2.0)

Hi friends, once again I am here. I am the part of development team of e-aushadhi (A complete supply chain management system). Presently, we deployed this system for two state Meghalaya and Manipur. Before deployment, we faced securities audit for these websites.

During the security audit, we found vulnerabilities and resolved them. I am listing those vulnerabilities with their solutions below.

Session ID Fingerprinting

## Java library for forecasting

Very easy java library to forecast anything