Prove the red area is same as blue area. (Yes it is quarter-circle and semi-circle) So yes, you are dealing with area and that formula A = π r2 is useful here.
Of course, I am able to prove it without looking at the solution.
It is a pleasure to do little proof like this... you get some givens... Ok you tell me this... this means... that... Oh in another place you tell me this... this means some other things. Link them together you will get the conclusion.
What's the use of it you say? Nothing too useful. But it is exercise of the mind... to see if you can link things together.
Every high school sophomore should be able to do this!
Tuesday, March 15, 2016
A pi day problem
Came across this problem:
https://www.theguardian.com/science/2016/mar/14/can-you-solve-it-the-pi-day-puzzle-that-will-spin-you-in-circles for π day
It has been a LONG time I ever even attempt to prove anything.
Prove the red area is same as blue area. (Yes it is quarter-circle and semi-circle) So yes, you are dealing with area and that formula A = π r2 is useful here.
Of course, I am able to prove it without looking at the solution.
It is a pleasure to do little proof like this... you get some givens... Ok you tell me this... this means... that... Oh in another place you tell me this... this means some other things. Link them together you will get the conclusion.
What's the use of it you say? Nothing too useful. But it is exercise of the mind... to see if you can link things together.
Every high school sophomore should be able to do this!
Prove the red area is same as blue area. (Yes it is quarter-circle and semi-circle) So yes, you are dealing with area and that formula A = π r2 is useful here.
Of course, I am able to prove it without looking at the solution.
It is a pleasure to do little proof like this... you get some givens... Ok you tell me this... this means... that... Oh in another place you tell me this... this means some other things. Link them together you will get the conclusion.
What's the use of it you say? Nothing too useful. But it is exercise of the mind... to see if you can link things together.
Every high school sophomore should be able to do this!
Friday, March 4, 2016
A pleasant example of calculus
There are so many complains of what's-the-use-of-math beyond the 4 basic operations and perhaps fractions.
Here is one answer: you get more powerful tools to explain things, such as why days are getting longer in a hurry, as featured in this pleasant article:
http://www.forbes.com/sites/kevinknudson/2016/03/04/the-days-are-getting-longer-in-a-hurry-calculus-explains-why.
Look, calculus may look ugly, but as the author say, "it is just formalism". The ground breaking concept of limit really isn't that hard. (But it definitely gets hard when you drill on the formalism part).
And for those who thinks calculus 101 is hard. It is ELEMENTARY, pre-requisite, baby stuff, even for a undergraduate level curriculum.
It is perfectly ok to be uneducated and uninformed.
Thursday, March 3, 2016
Metro bashing (again)
So Windows 8 has these terrible full screen Metro apps that is supposed to be "Modern". Terrible terrible full screen crap. When I had Windows 8, these use to just boom, close for no reason whatsoever, but restarting them generally will bring it back to action.
Upgraded to Windows 10. Metro apps no longer go full screen. Now that's good. And they don't crash anymore. They still suck at least they don't crash for a long while.
Minesweeper. boom. gone. Solitare? gone. Chess Titan? gone.
But Windows 10 came with the extremely popular Candy Crush Saga! This isn't just look for match as in Bejeweled. It is a lot more challenging and yes, addictive if you get started. It requires both luck and some thinking as you have limited moves to get rid of those candies covered by sticky jelly.
Alas, after days of playing to reach past level 100. Boom. This Metro app stops working. No error messages. No, don't blame Candy Crush. It isn't the culprit.
Not just this Metro app. Most other Metro apps such as News that worked stopped working also in such COWARDLY WAY. No error messages. Things closed right away. Metro apps aren't even in c:\program files.
Apparently I am not the only one having this issue.
Ideas from the web include:
1) Run some Power Shell script to re-register the apps. See here. Nope didn't help
2)
sfc /scannowSee here. Nope. didn't help either. It just says it can't fix it and tell me to look at some idiot tells-you-nothing log. I thought my bashing of Metro ended with Windows 10. Nope. Microsoft: This. is. RIDICULOUS.
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