Here’s The Orginal Creator, He’s A Legend:

Wow, I just love when science is put to practical use!

Pun on ‘Doppler Shift’.

I love it when people take up Physics concepts and incorporate them into the realms of everyday life. 

The Doppler effect (or Doppler shift) is the change in frequency of a wave for an observer moving relative to its source. 

It is commonly observed in sound. When a car is approaching you, the pitch (frequency) of the car increases and when it recedes, the pitch decreases. right? This is the Doppler Shift in action. 

Or to put it in TBBT verbatim - “ Neeeeoooowwwww!”

The Doppler Shift works with light exactly the same as with sound! Just as sound seems higher or lower in pitch as the object is moving towards or away from you, light appears higher in frequency (color) when the object is moving towards you, and lower in frequency/color when moving away from you. The order of colors/frequency of light that we can see is: 

Lower Frequency               Higher Frequency

red - orange - yellow  - green - blue - violet

So a far away object moving quickly away from you would appear more reddish than if it were standing still. The same object moving quickly towards you would appear more bluish than if it were standing still.

PC : Dean Johnson

Back when I was in school, this concept was really hard for me to grasp my head around, and I must say, this was a compelling way to understand the function of multiplying with negative numbers!

Thanks!

By virtue of everyday usage, the fact that (-1) x (-1) = 1 has been engraved onto our heads. But, only recently did I actually sit down to explore why, in general negative times negative yields a positive number !

Intuition.

Let’s play a game called “continue the pattern”. You would be surprised, how intuitive the results are:

2 x 3 = 6

2 x 2 = 4

2 x 1 = 2

2 x 0 = 0

2 x (-1) = ??  (Answer : -2 )

2 x (-2 ) = ?? (Answer : -4 )

2 x ( -3) = ?? (Answer : -6 )

The number on the right-hand side keeps decreasing by 2 !

Therefore positive x negative = negative. 

2 x -3 = -6

1 x -3 = -3

0 x -3 = 0

-1 x -3 = ?? (Answer : 3)

-2 x -3 = ?? (Answer : 6)

The number on the right-hand side keeps increasing by 3.

Therefore negative x negative = positive.

Pretty Awesome, right? But, let’s up the ante and compliment our intuition.

The Number Line Approach.

Imagine a number line on which you walk. Multiplying x*y is taking x steps, each of size y.

Negative steps require you to face the negative end of the line before you start walking and negative step sizes are backward (i.e., heel first) steps.

So, -x*-y means to stand on zero, face in the negative direction, and then take x backward steps, each of size y.

Ergo, -1 x -1 means to stand on 0, face in the negative direction, and then take 1 backward step. This lands us smack right on +1 !

The Complex Numbers Approach.

The “i” in a complex number is an Instruction! An instruction to turn 90 degrees in the counterclockwise direction. Then i * i would be an instruction to turn 180 degrees. ( i x i = -1 ). where i = √-1

Similarly ( -1 ) x i x i = (- 1 ) x ( -1 )= 1. A complete revolution renders you back to +1.

We can snug in conveniently with the knowledge of complex numbers. But, complex numbers were established only in the 16th century and the fact that negative time negative yields a positive number was well established before that.

Concluding remarks.

Hope you enjoyed the post and Pardon me if you found this to be rudimentary for your taste. This post was inspired by Joseph H. Silverman’s Book - A friendly Introduction to Number Theory. If you are passionate about numbers or math, in general it is a must read.

There are several other arithmetic methods that prove the same, if you are interested feel free to explore.

Have a Good Day!

PC: mathisfun

Wolfram shows off :)

So Google does math for you??

division

square roots

dividing percentages

IT EVEN FOILS

beautiful.

Beautiful! 

Double Arm

This sketch was made by rotating point 1 around a circle, rotating point 2 around point 1, and then joining a line between point 1 and point 2. In the gif point 2 is traveling in the same direction as point 1. Point 1 is traveling at 1x, and point 2 is traveling at 2x. Following the gif are some of my favorite combinations of the periods:

Rotating same direction:

1x and 1x

1x and 2x

1x and 5x

2x and 1x

2x and 5x

5x and 8x

The last image is an array of all the varieties from 1x to 9x for each point.

code: http://p5js.sketchpad.cc/sp/pad/view/jLceHatXid/latest

Hey, do you got juvenoia?  Heres a video for you: https://www.youtube.com/watch?v=LD0x7ho_IYc :)

Take care!

kids these days and their baryons; why, in my day, we didnt even have the strong force 

Hey BAB, could you please share the code to this? Im on the way to learn some processing and this is the kind of code i would like to learn. So, please share, so i can learn from it :)

Take care mate!

rgb knot

Hey all. Here in Sweden some of our preschools teaches signlanguage. It’s a really good compliment and the kids rock it like they never did anything else. I know Swedsh signlanguage because of my sisters deaf kid. Its a wonderfful way to communicate. Love the bodylanguage that comes with it! Take care!  

Reblog if you think sign language should be taught as a language in schools.

Got two Mongolian friends here at work if you want me to ask them? :)

Here’s my first attempt at Mongolian calligraphy.

I would greatly appreciate feedback.

A sphere made out of straight lines! Beautiful! 

Hypotrocoid

http://www.malinc.se/math/trigonometry/spirographen.php

Neet way to learn matrixmultiplication!

An interactive matrix multiplication calculator for educational purposes

matrixmultiplication.xyz

“One day it just snapped in my mind how the number of rows of the first matrix has to match the number of columns in the second matrix, which means they must perfectly align when the second matrix is rotated by 90°. From there, the second matrix trickles down, “combing” the values in the first matrix. The values are multiplied and added together. In my head, I called this the “waterfall method”, and used it to perform my calculations in the university courses. It worked.”