Fundamental Physics by Ramamurti Shankar at Yale_10_Electric Potential

When our ancestors realized the existence of electricity by observing lightening or by rubbing a rod against amber, the physicist pushed ahead their research on it and since discovered the force of electric, and that this force obey the same law as Newtonian force. Therefore, the delta of kinetic energy is also equal to the … Continue reading Fundamental Physics by Ramamurti Shankar at Yale_10_Electric Potential

Real Study – That Is What You Should Pursue In College

I have spent too many years in academia and came out to have a better understand, thus be able to make some sound judgement of what is studying there and what is worthy or true studying. Unfortunately, most of our time are wasted in studying "dumb" subjects such as biology, foreign language, politics. While the … Continue reading Real Study – That Is What You Should Pursue In College

Use Markdown Language Editor Dillinger

Rather than familiar text editor such as Microsoft Word, most engineers prefer markdown language (with extension .md) for daily writing and creating. It's light-weight formatting syntaxed language, fit for CSS style embedding, simple to write, edit and read, especially for posting on GitHub repository. My plan to conslidate all my work on GitHub makes is … Continue reading Use Markdown Language Editor Dillinger

Fundamental Physics by Ramamurti Shankar at Yale_9_Bernoulli Equation

As is to study every phenomena in physics, it always starts from a simplified situation yet strictly defined. When Bernoulli came up with his famous Bernoulli's equation, his subject is Bernoulli's equation is derived from the conservation of energy with three premises: 1. the stream must remain constant; 2. the components are incompressible; 3. friction-less. … Continue reading Fundamental Physics by Ramamurti Shankar at Yale_9_Bernoulli Equation

Fundamental Physics by Ramamurti Shankar at Yale_8_Wave

From the harmonic motion of spring mass, naturally, Prof. Shankar leads to the next topic - waves, which is a common phenomena in life and also so vitally important that we cannot live without waves (sound, light etc. are all waves) First of all, how to describe such a phenomena? Now the physicists applied differentiation … Continue reading Fundamental Physics by Ramamurti Shankar at Yale_8_Wave

Fundamental Physics by Ramamurti Shankar at Yale_7_Taylor Series

According to the wolfram mathworld, "A Taylor series is a series expansion of a function about a point. A one-dimensional Taylor series is an expansion of a real function  about a point  is given by For certain function e^x, sinx, cosx, are like what follows: Further, e raised by a complex number multiplied by x, will deduce if x = pie, this … Continue reading Fundamental Physics by Ramamurti Shankar at Yale_7_Taylor Series

PageRank Factor in Analyzing Company Relationships

Invented by Page Larry, founder of Google in ranking web pages, " PageRank works by counting the number and quality of links to a page to determine a rough estimate of how important the website is. The underlying assumption is that more important websites are likely to receive more links from other websites". A page … Continue reading PageRank Factor in Analyzing Company Relationships