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Tuesday, 22 February 2011

6.9999999 = 7????

Hi again, here's something that should leave your mind boggling; I'll prove that 6.99999999999_ (9's to infinity) = 7

It's simple: let x = 6.999999999999999_

Now 10*x = 69.999999999999999_

and 10x - x = 63 or 9x = 63

and x = 63/9 = 7 ! (not factorial)

Math is weird sometimes...

Multiplying two digit numbers!

Hey guys, this is a continuation of my last post :).

So you've figured out how to square any value with the formula I gave out, but what about two multiplying two different numbers? Well, its simple, but a little more complicated.

So, lets use an example: 27*46.

Let's break this problem up.

We know that 27 = 20 + 7 and 46 = 40 + 6

so (20+7)*(40+6) = 27*46.

If we set a = 20, b = 40, c = 7, and d = 6, we get:

(a+c)*(b+d)
= ab + ad + cb + cd

27*46 therefore is:

(20)*(40) + (20)*(6) + (7)*(40) + (7)*(6)
= 800 + 120 + 280 + 42
= 1242

Amazing!

So remember, its the two big numbers multiplied, plus one big times one small, plus the other big times other small, and the two small multiplied which makes sense!

Calculating the square of two digit numbers!

Ever wanted to impress your friends by calculating crazy squares in your head? Well here's how!

It's actually really simple~ take, for example, 15*15. The product is obviously 225. Take 15 and split it into ten's and one's, so what you're left with is: tens~10, ones~5.

Now apply this simple formula:

a^2 + 2(a)(b) + b^2 = your product!
where:
a is either the tens or ones, and;
b is either the tens or ones (not the same as a)
** FOR SIMPLICITY I always choose "a" as my tens value.

For our example:

(10)^2 + 2(10)(5) + (5)^2
= 100 + 100 + 25
= 225

Magic!

Take another example: 33x33
tens~30
ones~3

(30)^2 + 2(30)(3) + (3)^2
= 900 + 180 + 9
= 1089

It works!

I created this idea on my own but I'm pretty sure some else has done it before me. This can easily be modified to find the squares of triple digit numbers (adding a "z" component), and it can also be modified to take the multiplication of two numbers rather than the square of one! I'll post how in my next article, stay tuned~

Inflation of Time


This is a simple societal classification theorem which I formed a long time ago that should leave you asking questions.

If you take a look at the society that surrounds you, you should see that it seems that most people seem encumbered with work, kids, and stress. Examining the past 100 years, it is evident that humans have never been this preoccupied in all of history. Humans will continue to become more occupied as time advances. Proof? Well, take a look at where we are now, and where we were 25 years ago. Before, sleeping for 8 hours each day was never an issue. Nowadays, you'd be lucky to even get 6.

As a student, I can already feel the implications of such an increasingly amount of induced stress. I can only imagine what it's like for the working class. These implications led me to my theorem. Take money, for example, which inflates over the years at a rate of about >3%/yr (known as the inflation rate). This is no problem for economies because they can expand to infinity theoretically. Time, however, is fixed. There are 86400 seconds, or 1440 minutes, or 24 hours in day. If our relative time continues to inflate, that is to say our time spent working rather than sleeping continues to increase, then how can we ever get this time back? It's not like we can extend the amount of time in a day, because we'd reach a point where we would be sleeping in the mornings.

This is not intended to be the new Unified Field Theory, but some simple food for thought, and I hope you enjoyed it.

Mechanical Keyboards


Hi guys, this post is going to consider mechanical keyboards and their advantages over modular ones. I currently own a SteelSeries 7G mechanical "gaming" keyboard that I purchased not too long ago. Now I know what you're probably asking: "Why is he reviewing a keyboard?" Well, the answer is very simple: I love it! If you haven't already experienced a mechanical keyboard, then I would suggest you look into one. I know that they might be expensive for a lot of people (entry levels start at about $100), but I find them really, really productive. My typing accuracy and typing speed have truly increased significantly. If, however, you cannot afford one, I would recommend NOT buying any expensive modular keyboard (expensive being >$20). This is because after using a mechanical I could never go back to a modular keyboard. I have owned high-end modular keyboards and my experience with them is merely a shortfall. If you are looking for a keyboard, I would recommend buying those cheap $5.00 dell keyboards (try to find it used in good condition), and those would very much satisfy your needs.

To put things into perspective, I've owned a crappy $5.00 HP keyboard and an undisclosed $110.00 "gaming grade" keyboard (I do not want to mention the name because I do not want to make the company look bad). I would, until this day, choose the HP keyboard because I could not justify the extra $105.00 spent on the other. The backlighting, LCD screen, windows key on/off switch, and hyper-response time features could not persuade me otherwise at the end of the day.

To conclude, yes I am a gamer :). But I've been trying to quit gradually and see myself having minimalized my time spent gaming to <5% of my life in the near future. If gaming has brought me anything, it would be a knowledge of the apparel in the technology district.