akatsukipein29 @markjayvhie - Tumblr Blog

Seven circle theorem.

Take six circles in a chain that are tangent to a seventh circle and also tangent to their neighbors. Then the three lines drawn between opposite pairs of the points of tangency on the seventh circle all pass through the same point.

(via https://open.spotify.com/track/7gCeodIXjhCLDWC5H1LOmT?si=6gpXvj8zTP_UcX2t4dXSUg)

nasa

Pew! Pew! Pew!

Imagine slow-motion fireworks that started exploding 170 years ago and are still continuing. This type of firework is not launched into Earth’s atmosphere, but rather into space by a doomed super-massive star, called Eta Carinae.

Enjoy the the latest view from our Hubble Space Telescope.

Make sure to follow us on Tumblr for your regular dose of space: http://nasa.tumblr.com.

books-n-quotes

Just because things hadn’t gone the way I had planned didn’t necessarily mean they had gone wrong.

Ann Patchett, What Now? (via books-n-quotes)

A mantra of thyself

Turn back to star dust.

spring-of-mathematics

Brachistochrone Problem & cycloid.

GIF: Source is Vsauce / The Brachistochrone : https://www.youtube.com/watch?v=skvnj67YGmw.

Which is the quickest path? …. The cycloidis is the curve which yields the quickest descent.

Suppose there is an incline such as that shown in Figure 1. When a ball rolls from A to B, which curve yields the shortest duration? Let’s assume that we have three hypotheses: a straight line, a quadratic, and a cycloid. The shortest path from A to B is the straight line, so one might think that the straight path is the fastest, but in fact it is surprisingly slow. It’s better to select a path which has a downward drop in order to accelerate the ball in the first phase, so that it rolls quickly. The ball arrives earlier on the quadratic path than on the straight line path. However, increasing the degree of the function causes the ball to travel more slowly on the flat section.

It is said that Galileo (1564-1642) first presented this problem. It is also known that the cycloid is the curve which yields the quickest descent. This time I will discuss this problem, which may be handled under the field known as the calculus of variations, or variational calculus in physics, and introduce the charming nature of cycloid curves.

See more at The Brachistochrone Curve: The Problem of Quickest Descent by Yutaka Nishiyama- PDF.

fyphysica

A Physicist ‘owned’ the US govt with dimensional analysis.

Now whenever dimensional analysis is taught in high school/college it comes off as a rather mundane topic.

But in order to appreciate the power that dimensional analysis has, here’s a anecdote.

Source: Acloop

The United States developed the atomic bomb during WWII under the greatest security precautions.

And the total amount of energy released during the explosion was considered classified information.

But the pictures of the explosion with a time stamp and a scale were released (pic above). To physicists around the world like G.I.Taylor this was more than they asked for to estimate the energy of the blast.

Dimensional Analysis for the hail

If we start of with the known quantities: Density of air, shock front radius and time (which was graciously provided in the photos).

The unknown is the energy. Now we simply equate the dimensions of the energy and rest of the quantities i.e

We equate the powers of M,L and T to find out the values for a,b,and c. Doing so leads to the following expression for the Energy of the explosion:

Usually while doing dimensional analysis, finding out the value for C is the real deal. But Taylor had the C values from other experimental explosions known so he just made an ‘educational guess’ and boom!

He was able to approximate the energy to such an accuracy that US considered him as a potential spy.

That’s why dimensional analysis is amazing!

P.S : He may/may not have been trailed by the MI5 or the CIA for a couple of months after this. So.. yeah! Maybe give a second thought before publishing your finding on a top secret project to the Proceedings of the Royal Society.

catherinehoffman

Breakfast Time

So I just realized I never actually posted this on my blog… So here you go!

Mornings can be rough -.-

markjayvhie

every morning of my own is a good day ahead ssssshhhhhheesssshh

books-n-quotes

The worst part of holding the memories is not the pain. It’s the loneliness of it. Memories need to be shared.

Lois Lowry, The Giver (via books-n-quotes)

books-n-quotes

Not all those who wander are lost.

J.R.R. Tolkien, The Fellowship of the Ring (via books-n-quotes)

fyp-science

Nobel Prize Winning Physicist's Richard Feynman’s 20 Best Quotes About Life

Recognized as one of the greatest minds that comes along once in a generation, he acquired the Nobel Prize in 1965 for discovering the principles of quantum electrodynamics, which predicts how all types of particles of light and matter interact with or with the electromagnetic field, and makes electrical forces.

An intellectual with a high level of creativity, Feynman was also known for his uncanny sense of humor and reputation as a party animal. We dare you to read his inspiring, humorous and witty words of wisdom below.

Keep reading

comeh-ome

What i learned from my psych teacher today:

Loving someone shouldn’t hurt. But falling in love isn’t easy either, after a while it becomes something you’ll have to choose to be committed to and that makes it beautiful. What happens after you tell someone you love them is what matters most; does silence follow? Do they say it back? There’s no easy way to love, you will go through rough patches, but loving them shouldn’t hurt. Love should be a two way street, if they don’t put in the effort you do, and you’re not happy, leave. You deserve someone who makes you feel like you’re easy to love. It shouldn’t make you feel like your heart can’t do it anymore. Wait for the person who won’t break your heart. You’ll find them, i promise. Save your best words for them. Look forward to loving them through their best and worst. Wait for the person who makes waking up in the morning not a chore. Wait for someone you kiss goodnight and open your eyes to every morning. Wait for the day you won’t be scared they’ll leave. Wait for them. It’ll be worth it.

markjayvhie

Indeed. worth sharing thank you for this words.