Sunday, December 21, 2014

Taylor Swift - "Blank Space"

Edited from http://en.wikipedia.org/wiki/Blank_Space

"Blank Space" was a commercial success, having reached number one on the US Billboard Hot 100 following "Shake It Off".

The song debuted at number 18 on the Billboard Hot 100.  In its third week, the song sold 328,000 digital copies (up 100%), spurred by the release of its accompanying music video, and jumped to number one, becoming her third number one single and making Swift the first female artist to replace herself at number one (her number one song of the previous week was "Shake It Off") and tenth overall among all artists.[25] 

Thursday, December 18, 2014

RM 12.90 Digital Multimeter from Mr DIY

I bought a digital multimeter from Mr DIY which is  in   Tesco Ipoh building  a few weeks ago . It is probably the cheapest one I have ever bought.

I remembered it wasn't long ago when the analog ones cost around RM50.

I bought a handheld digital one a few years back but that one did not last long. I have got a feeling that this one would last longer even though it has only a few days warranty.

 So far I have bought quite a  few things from Mr DIY. The other day someone was asking me at Mr DIY what is good there and I pointed at the multimeter. He sort of looked at me blankly and asked
" What is that ?"

Well, what he was looking for was a remote control for his DVD/VCD player. He wasn't very familiar with the English language as we were actually speaking in Cantonese. So I showed him some of the remotes  which seem to cost around the range of RM 6 to RM10. He wasn't convinced as he thought it could destroy his set.

Anyway I am quite satisfied with the multimeter  I bought  - except for one time when it took some time for the 20V range measurement to work. But it seems to work fine now - just tested it with a 1.5V battery.

Thursday, December 11, 2014

Identifying sequence convergence and divergence

When the degree of the numerator is the same as that of the
 denominator , the sequence converges.

When the degree of the numerator is bigger as that of the 
denominator , the sequence diverges.

A sequence that alternates with positive and negative values 
such as +1 and -1 is not convergent.



\lim_{n\to\infty} \left( 1 + \frac{1}{n} \right)^n.   = e





    Identifying sequence convergence and divergence:




Thursday, December 4, 2014

Radius of convergence

The radius of convergence is 1/2 the length of the interval of convergence.

 http://www.sosmath.com/calculus/radcon/radcon02/radcon02.html

When ratio test =0, the series converges for all real numbers so it has an infinite radius of convergence.


    Radius of convergence using Ratio Test





Wednesday, December 3, 2014

OneRepublic - "I Lived"

This was the number one song in one of the radio channels in Malaysia last week.