Perhaps not millions of dollars...it is free to anyone with enough of an education in mathematics. I don't think they can be copyrighted, but then again some...
What little is known about the American Polynomial can be summarised as follows: 1) All of its coefficients are integers. 2) Its constant term is 1492. 3) The...
... Well, if x=0 (mod 3), then p(x)=1492=1 (mod 3), so p(x)<>0. If x=1 (mod 3), then p(x)=1776+1621=3397=1 (mod 3), so p(x)<>0. And if x=-1 (mod 3), then...
... (- ... (t),t) ... Incidentally, the estimate x(t) < -c/sqrt(t) is probably only valid for "small" x. As t -> 0, x(t) -> -oo, but probably not at the rate ...
Hello, I am a Chinese student in grade 9, and I will be grade 10 soon. But I am not good at math, maybe I study math with the wrong way, who can help me how to...
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Mar 9, 2003 7:57 am
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Hey everybody, Some months ago i came with a solution to the following problem, but i can't remember it: A_1,A_2,A_3 and B_1,B_2,B_3 are 6 points in the plane...
I'm new to this group, I want to know how to enter every kind of mathematical operators, like "square", "cube", "radical expression" and so on. I need as many...
... "How to Solve It: Modern Heuristics", by Zbigniew Michalewicz and David B. Fogel, Corrected Third Printing 2002, page 5. The authors say that they...
The perimeter (P) of the largest equilateral triangle that can touch a triangle ABC at A and B and C | a and b and c are the sides of ABC is: sqroot(6a^2 +...
Hey ppl, long time no txt. Here's something I'm musing over right now. I'll get straight to the point 'cause I don't have much time. Take six random points....
If a and b are unequal integers, (b-a) divides (p(b) - p(a)). So, 3 divides (p(k+3) - p(k)), for any integer, k. Now we only need to calculate p(-1), p(0),...
This one's a simple one, but it's kind of a neat result. Suppose there are n people sitting in a row. Each person's name is placed in a hat. The hat is passed...
... I don't understand what you're asking. (iii) for every 1 <= i < j <= n and 1 <= i' < j' <= n, lcm ( a_i , a_j ) = lcm ( a_{i'} , a_{j'} ) Here's the...
Ah right, so i and i' are not necessarily related in any way, and neither are j and j'. I thought they were. Fairly understandable, you must concede. ... to ...
... but ... A_i ... In the following the product of any two vectors is interpreted as a dot product, e.g.: AB = A_x * B_x + A_y * B_y The square of the...
Yes - a fine holiday but not as much of a milestone. (The founding of Jametown in 1607 (=-1 mod 3) is probably the best candidate for the beginning of the...
This is a reply to something I posted awhile back. In 1988 I read a book called "Mathematics and the Imagination" which was written in the 1940's. In this...
This is a reply to something I posted awhile back. In 1988 I read a book called "Mathematics and the Imagination" which was written in the 1940's. In this...
... own ... Simple logic says its zero. Suppose you are in line. If a person closer to the beginning has drawn your name, you have no chance of drawing it...
