Notes On Different Type Of Graph

UltraFire C3 Tailcap

A common problem with DealExtreme Some of the Flashlilghts Are bad contacts. Are Sometimes due to dust, But In Other occasions is more a contact problem. This is the case of a UltraFire C3 Cree That I Bought Some days ago. The flashlight won't

turn on (even with fresh batterys) but the unit was working, because if I test it with a clip, the light came on. So, after some serch I realize that the problem was on the tail cap, and I think of a bad contact.

The solution is easy. All you have to do, is disassemble the tail cap. To do it, all you need is a very small screwdriver. The tailcap has 2 little holes, put the scredriver in one of them, and unscrew the "silver" cover. Once you reach here, you must turn this part, and you´ll see again a black part with another 2 holes. Ok, we must repeat all the same one more time and we´ll reach the switch, that consist in 2 parts: the circuit board with the "button", and the "container" of the board:

We must take apart all the componets, and we´ll se that the "board" has an outline with silver cover. This outline, in some occasions, makes bad contact with the container, so the flaslight won´t turn on.


The solution is easy, just add a little aluminium foil to the "container", taking care of shortcuts, so the contact betwen this two parts improves.


Now, all you have to do is to reassemble the tail cap, and everything shoould work ok right now.

P.D. Sorry for my bad Inglés.

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TEORMA BROUWER FIXED POINT (EXPOSURE ICESI)

The fixed point theorem Brouwer is one of the most beautiful theorems of mathematics. Has a reputation that 99% of mathematicians know him, but only 1% are able to prove it.

This is because the known proofs use heavy tools weighing algebraic topology.

However, one of the best mathematicians of our time, John Milnor, a public elementary mathematics review a proof of the theorem (download article here ), which only uses calculation of several variables. His proof is short and elegant, well all he has done Milnor is elegant.

This theorem is the basis of Nash theorem, which is the basis of game theory, which in turn is becoming the foundation of modern economics.

The exhibition is to present the proof of Milnor, it is possible to present the theorem of Nash.

By the way, wrote a beautiful article Milnor (download here ) in honor of Nash and the Nobel laureate in economics, where he presents the Nash theorem in a way so clear that envy the capabilities of this mathematical expository in the same article says the game of Hex, invented by Nash.

The Hex is a game mathematically interesting, it's still super fun, and point theorem follows also fixed some game properties.

I was a teacher in Hex, my girlfriend also was good playing, but I think he got tired of that win, I officially retired when I lost for the first time, it's so hard to lose, but get over it.

you can opt for the demonstration based on the HEX, it might even make a board and organize a mini tournament of HEX in the class, the winner has a special prize.

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EXPONENTIAL OF A MATRIX. (ITEM EXPOSURE)

The aim of the exhibition is to show that the concept of series can be extended to matrices. And it is a generalization soda, a number of important matrices is exponential a matrix, this has very important applications in differential equations. Incredibly

this function is easily defined, but how calculate?. Here comes in linear algebra and eigenvalue theory. I think this is one of the most interesting applications of linear algebra, pity that the courses are displayed examples boring and uninteresting.

The exhibition is to show the exponential 2X2 matrices, and show how it is calculated in some simple cases.

If you want to go there, you can show the application of the concept to the theory of differential equations (nothing special).

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How to find mathematics books online.

Here are some tips for newcomers. You can get almost any math book online.

must first download a reader for the DJVU format is the format most books are scanned, and is the most popular in mathematics. It is lighter than PDF and images load faster. The reader is very light, you can download at this link .

If you have the name of the book can try to find the name of the book followed by the word djvu, this works in most cases.

Another way is to look at the pages that host the files, the most popular books is rapidshare, you guys can find Google the file name with the word rapidshare.

With rapidshare have to wait on average 30 seconds to download a file, and can only download a limited number of files per day, although they can pay a bill, it's cheap, or read some of the tricks of the network.

A hosting site without such a joke, is Mihd, but it's hard to find the links. Two pages

Russian (the Russians and Chinese are the kings of the scanned, calling things by their name, piracy) are eknigu lib.org and I think they have almost the same books, but if it breaks the link-up, can look in the other.

In mathematics Most importantly, the publisher Springer-Verlag, China where a page contains all the math books for graduates is link.

previous pages in most of the books are in English, something very natural, and other languages, but nothing in English. On this page, corner mathematical can find some books in English and other interesting links.

This can begin building your digital library. After

tell them how to download books through torrents, and use google books, and other pages where you can download recent titles.

not forget to leave your comments or questions.

I'm not responsible of material downloaded from these pages, piracy is really bad, but evil is to live without books, and in this country to have them turned into a luxury, it seems that only the rich can buy books, but most do not lka buy, it is easier to steal, or corrupt.

On the other hand, these libraries are a recocha Cali, so one wants to spend half the salary buying books at these high prices, one gets nothing. The Ice Cream

, forgiveness, bookstore Athens, you just get used tables of logarithms, they do not know that it invented the calculator.

In order to these prices and short supply is just internet. Jean Paul Sartre in his time made a controversial statement, you have to steal books from libraries. It is clear that he was in Paris, here you are caught and put you into the dark room and you can not go out. But it's not necessary to run these risks, download what they want from the network. Do it fast, now you can, because every time will be more restricted. In Spain want to knock down the sites that offer torrents. When this happens I will manage to offer my 390 gigabytes of data I have available.

NO ILLEGAL PIRACY.

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Exposure 2 (ICESI)

The second issue of exposure is a beautiful result, inequality is called isoperimetric. Peter Lax public demonstration at the basic calculation. Exposure, if someone decides to do it, is to present this demonstration.

If you are interested leave a comment. It can be a partner.

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topics for exhibitions (ICESI)

A modern way of looking at the calculation uses the so-called differential forms. This is the first issue of exposure that comes to mind. The exhibition is at a basic level. If you are interested in the topic leave a comment, exposures can be made in pairs (recommended).

I will step literature and consultants.

And please do not pay anyone to exposure that makes them only know two people who know the subject and do not teach, try to enjoy themselves investigating units.

(Some of those who teach the course did not go well advanced calculus, they only can help them spend their money.)

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Links to books. Partial Solution

This is the link some of the books that I mentioned in a previous post. Here you can find some of the most disturbing minds of all time.

Read reviews and decide the route you to the adventure of thinking they want. I for one am rereading Cioran, who was one of my readings cursed my adolescence, and Pinker's Blank Slate a super-recommended author.

Remember to leave your comments about the readings.

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calculation of various variables (link fixed). Plot

Here is a part of the answer key, there are other ways of doing the problems, the answer key is to verify the results.

luck. Here

link.