The Ocean Is Where The Aliens Live.

New superglue allows for bonding stretchable hydrogels

A team of researchers at Johannes Kepler University Linz has developed a new type of glue that can be used to bond hydrogels to other hard or soft objects. In their paper published on the open-access site Science Advances, the group explains their development process, the structure of the glue, how it works and in what ways.

Hydrogels, as the name suggests, are materials made mainly out of water. They are typically rubbery and are often elastic. Many of them have been developed to allow for the creation of materials that are more like those found in living creatures. Some examples include soft contact lenses, soft bone replacement in the vertebrae and even jelly-like robots. But one thing that has been holding back more advanced applications is the inability to glue or bond hydrogels with other objects in ways that allow for bending or stretching, or even for attaching well to hard objects. In this new effort, the researchers report they have developed a glue that solves this problem.

Read more.

Elon Musk Announces New Hyperloop Approval Making NYC to DC Trip in Only 29 Minutes

Thought this was important to post.

There's an app for that

A “master list” of apps that are essential to student life.

Flashcards

Quizlet - Flashcard app that has pre downloaded flashcards and you can make your own flashcards. Available on multiple platforms

Duolingo - Language flashcard app

Flashcards+ - Another flashcard app

Math

Luna Calculator - calculator app ($2.99 on iOS)

Wolfram Alpha - online math solver

Symbollab - online math solver

Productivity & Planning

Forest - Grows a tree for every thirty minutes you are off your phone. If you touch your phone, the tree dies. ($0.99 on iOS)

FocusNow - Free version of Forest for iOS. Instead of trees, it grows fruits and vegetables. 

30/30 - Great time management app

Any.Do - Great app for creating to-do lists, organize tasks, syncs with other devices. You can also change the priorities on certain tasks. 

Studious - Great app on Android that reminds you when homework is due, when exams are and even silences your phone during class. 

StayFocused - A chrome extension that you can customize to limit the time on websites to stay productive

Self Control - Allows you to block your own access to distracting websites for a certain amount of time. Useful for people who get distracted on the computer (Also known as Cold Turkey for Windows).

My Study Life - Student planner app

myHomework Student Planner - another Student planner app

To-do List - extensive to do list, like an online bullet journal

Learning

Itunes U - For any apple device users, a app that gives you access to free educational courses 

TED - The whole catalog of TED talks at your fingertip. 

Wikipedia - Free encyclopedia that can be used for general references

Khan Academy - study videos (absolutely amazing app/website)

Music 

Coffitivity - coffee shop soundtrack

8tracks - great playlists, especially study playlists

Wake Up Calls

Alarmy - good alarm that will force you out of bed

Sleep Cycle - measures your sleep cycle

Math Alarm - alarm clock that forces you to do math to turn the alarm off, get’s your brain going 

Class Lectures and Note Taking

Dragon Dictation - takes notes for lectures (useful for classes where professors talk faster than you can type)

XMind - mind mapping tool

Notability - another app for recording lectures. ($2.99 on iOS)

These are just a few study apps that can be useful for studying. I will add more (or make a new list) later as I learn about them; feel free to message me to add some to this list. 

Due to the Mandela Effect, we remember things that didn’t happen or exist. Get the answer and why in our NEW VID: https://youtu.be/hvu4D1jngCY

On the cross product

Understand the concept and not the definition.

If you have studied vectors, then the notion of a cross product is something that you might be familiar with.

Although it is taught in many colleges and schools in its mathematical glory, this post aims to supplement the same but with an real-life example.

The cross product

The magnitude of the cross product is the area of the parallelogram with two sides A and B.

The orientation of the cross product is orthogonal to the plane containing this parallelogram. 

Why on earth is it orthogonal ? Like seriously…

I mean this is one of the burning questions regarding the cross product and yet for some reason, textbooks don’t get to the bottom of this.

It is modeling a real life scenario!!

The scenario being :

When you try to twist a screw inside a block in the clockwise direction like so, the nail moves down and vice versa.

i.e When you move from the screw from u to v, then the direction of the cross product denotes the direction the screw will move.

That’s why the direction of the cross product is orthogonal. It’s really that simple :D

Have a good day!

A2A : Anonymous

On the transpose of a matrix

In this post, I would just like to highlight the fact an image can be represented in a matrix form and matrix transformations such as transpose, shearing, scaling, etc, from an image processing point of view are purely physical !

Check out this article from the klein project if this post interested you.

Have a great day!

* Interactive Felix the cat and matrix

What can we learn from ants and plants?  

That’s what IBMer Mauro Martino set out to answer in his award-winning data visualization, Network Earth. It explores nature’s interconnected relationships, and how they affect each other and our planet. By making the complex but important topics easier to visualize, we hope to help make more of them accessible to all.

How did the Greeks know ?

Greeks had a strong geometric approach towards problems and as a result their methods are very intuitive.

In this post, we will look at the Method of exhaustion formulated by Archimedes that stands out as a milestone in the history of mathematics

Method of Exhaustion - Archimedes

                                                       Source

In order to find the bounds of pi, Archimedes came up with a remarkably elegant ‘algorithm’, which is as follows:

Lower bound

Inscribe a n-sided polygon in a circle —> Measure its perimeter(p) —> Measure its diameter(d) —> pi_min = p/d —-> Repeat with  n+1 sides.

Upper bound

Circumscribe a n-sided polygon in a circle —> Measure its perimeter(p) —> Measure its diameter(d) —> pi_max = p/d —-> Repeat with  n+1 sides.

And by following this procedure one could obtain the upper and lower bounds of pi !

Heres an animation made on geogebra for a circle of diameter 1. Watch how the lower and upper bounds vary.

Archimedes did this for a 96 sided polygon and found the value of pi  to be between 3.14103 and 3.1427. This is a good enough approximation for most of the calculations that we do even today!

Happy Holidays !