The amount of gain for each 100₹ you spend on Raw compared to dressed.

SL is dressed price

RC is Raw price 

Solution to purge Static built up charge in the laptop circuit board.

 On the net, the common suggestions are to take the battery out and let the circuit discharge the static.

What I did is I attached as many USBs I can, Mouse, Power bank, External Hard drive, HDMI cable, few pen drives . Then pressed the power button.

 Bingo !

How do you know if the problem on you HP laptop  is due to static built up ?

Answer: Press the power button for 15 seconds and release, you will see a small blink at button and one more at Capslock.

Define a Mathematician

One who studies Roman and Greek alphabets and the relationships within.

Why do Mathematicians find it interesting

It is not because it is interesting to them but they are not interested in any other.

Adjust screen brightness manually on Linux Ubuntu from terminal

 get the list of display devices using xrandr -q

brightness any number between 0 and 1

 xrandr --output eDP --brightness 0.7

Modelling did not work, the reason being the dependency on the data.

Prof. Manindra Agarwal's writeup on SUTRA model.

3D visualizations of Unit balls in abstract spaces of various Norms and Inner products

 The following are for various p-norm spaces.

p=1+i

p= 1-4i

p= 7-7i

 

p=2-6i

 

 

p=0+0.01i

p= -5

   

 

p=0.5

 

 

p=0.1

p=1.0

p=3

p=i

p=9

p=1.6

p=2

 The following are for various Iner-products that depend on operator A.

 A=[2 1 0; 1 3 0; 0 0 1];

 A=[2 1 i; 1 3 i; i i 1];

 A=[2i 1 i; 1 3i i; i i 1i];

 A=[8+2i 0 0; 0 3-i 0; 0 0 1+6i];

 A=[8+2i 0 0; -10 3-i 0; -2 0 1];

 A=[2 0 0; -1 3i 0; -i -2 1];

 A=[2 0 0; -1 3i 0; -i -2 0];

 A=[2 0 0; -1 3i 0; 0 -2 0];

 A=[2 0 0; -7 i 0; 0 0 1];

 A=[2 0 0; -20i 1 0; 0 0 1];

 A=[2i 0 0; -20i 1 0; 0 0 1+i];

 A=[2i 0 0; -4i 1 0; 0 0 1+i];