Mathematics

Binary, sure. Base four? Okay, its a little more managable than binary, and base 16 is in full use throughout computing... but base 10? Why not make it base 7.5? That's just as useless. What's with the base 10 numbering system? What a stupid system. I seriously cannot understand how we still use such a primitive numbering system in this day and age. Well, I can... but it is time for revolution! Aside from my rant, what would be the best numbering system for the future? 1,4 or 16? Or something completely different? I don't know about you guys, but I stopped counting on my fingers when I graduated teh preeskule.

Hi, Does someone know where the mass centre of a half sinus period is located? I know pi/2 on the x-axes but on the y-axes ? to give an idea for a half circle it's located at R*4/(3*pi) that is 0.42 for R=1

Epsilon = Invariant Proportion About 3.14... = circumference/diameter: Let us say that Epsilon is equivalent to the invariant proportion that can be found in the triangles below. (VERY IMPORTANT: When Epsilon = Invariant Proportion, then there is no connection to words like 'smaller' or 'bigger' or 'size' or 'magnitude' or 'Quantity', and the reason is clearly explained) , |\ | \ | \ | \ | | | |\ | | \ | | \ | | \ | | | | | |\ | | | \ | | | \ | | | | | | | |\ | | | | \ | | | | | | | | | |\ |____|____|___|__|_\ Each arbitrary right triangle's area is smalle…

Given a>0 solve the equation: xx[a(a+1)]) = a.

I know that imaginary numbers are numbers that are based on [math]i[/math] [math]\sqrt{-1}[/math], but why are they imaginary. Why can't there be [math]\sqrt{-n}[/math]? Why can't you have a product a negative number, yet you can have a sum?

A mathematical proof is counted as valid if it is consistently verifiable using accepted axioms. But how about these axioms? Let us take the most fundamental and universally accepted axiom (in fact, it's so universally accepted that it hasn't even been officially listed as one). Let's take the axiom 1 = 1, or x = x. In first grade books, integers are depicted as fruit. An apple plus an apple equals two apples. This is a useful concretisation. If mathematics is correct, then this kind of concretised example must be correct, since "the proof of the pudding is in the eating" - the proof of the theory is in its applicability to the real world. There are serious probl…

How does radian bring convenience to us? Could anyone tell me?

Could anyone be so kind enough to help me with this question and show me the working so I can understand how you got the answer??? I shall have to write the square root as an actual word: square root b squared - c squared, find the positive value of b given a=5.6 and c=4.4. Thankyou ever so much. Nadine

Hi, Who designed the shape of "0" for zero. mab.

This week we are rewarding the What People Think is The Most Used Theorem In the Whole Of Physics, Chemistry, Biology and obviously Mathematics. Place your nominations NOW!!!. voting will commence on 1st of January!! Current Nominees:- 1)Pythagoras's Theorem 2)Fundamental Theorem of Calculus 3)Chain Rule Note: natural selection removed due to the fact that its not a theorem and general displeasure among the formites. If you want it back, you will have to put up a strong case for it

Prove that any five consecutive integer is divisible by 5 such that the least term is > 0. Prove that any two integer's sum is NOT always divisible by 3. State why this is and tell in what case is this possible. Prove that: [math]\binom {n}{k}[/math] equals [math]\binom {n}{n-k}[/math]

Hello everyone I have a website dedicated to helping people learn any type of math and physics. At first it started out as a website helping people how to do proofs, but then I expanded out to physics as well: http://fsc729.ifreepages.com/ In my forum I have links to partial solution sets for popular textbooks, book reviews and more. In addition I have a link to totally free online textbooks. Please visit my website and if you have any ideas you want to share you can sign my guestbook or post in my forum. It is completely free, Thank You John G.

I'm trying to think over one theory, but I need to solve this equation group and I've come to a full stop. (a*b^2)/c = h b^3/(a*c^2) = G (a*b^3)/(c^2*d^2) = k (a*b)/d^3 = M So trying to solve a, b ,c and d. Any help would be appreciated. Thanks!

Hi, For a number like 45 915, are both ways of writing that number below in words correct? Is there a more standard way? Forty-five thousand, nine hundred and fifteen. Forty-five thousand and nine hundred and fifteen. Thanks in advance and sorry for asking such a basic question here

is there a way to graph imaginary values on a cartesian coordinate system? for that matter, is there any other way to graph them?

... I dont know where to start. School is too slow for me, and geometry isnt really advanced (im in 9th grade). Its basically all remembering posulates and then applying them to proofs. So I want to get ahead of the game and get into Algrebra 2 (for some reason Florida likes to go from Algebra one to Geometry and then go on to Algebra 2). Does anyone know any good websites or eBooks to help me get started?

Hi there, I've a question here that I'd like yer opinions on: If I have an n*m matrix X made up of n measurements of m variables (assuming all the variables measure temperature and so the units are Kelvin (K)). Does this imply that the covariance of X has units K^2? Also, if S = covariance(X) and S = ULU', what are the units of U, L and U'??

Hi there! I am trying to calculate the complexity of an algorithm and I have concluded that it takes a number of steps given by the following formula (in Mathematica notation): Hypergeometric1F1(-D, 2, -x) This looks like a multinomial of x. The order of this polynomial is D. The last term of this polynomial is x^D/D!, which converges to 0 when D is large enough. On the contrary, the first terms seem to be significant. Do you have any suggestions for the complexity of the algorithm? Is it polynomial or exponential with respect to D? Thanks in advance!

Inspired by Grayfalcon's post. Consider a right triangle ABC, with a = 3, b = 4, and c = 5. Circles centered at A, B, and C of radii 3, 2, and 1, respectively, are pairwise externally tangent. Such circles have, to the best of my knowledge, no name. I shall refer to them as the triangle's G-circles. What are the radii of the G-circles of a right triangle of sides 5, 12, and 13? Of sides 20, 21, and 29?

http://www.planethack.org/public/torrents/ (don't be turned off by the url... its not a spam site or a warez site. its my webspace)

Why do you have to use the mean in a standard deviation formula? Cant you use any other average? Only asking as it is part of my coursework in the advantages and disadvantades of the averages. Any help on this topic too would be most welcome! Thanks, Grant.

I don't think any of the people in here are basic on math but here it goes the basic geometry proving: Prove that if you construct a triangle from connecting the centers of the three congruent circles that are tangent to each other, you form an a equilateral triangle.

I am having trouble with this question even though i have guessed the answer which is correct btw. I want to know how i should solve such a question if it were ever more difficult than just guessing. Here goes:Q The sum of the first 6 terms of a geometrical progression is 9 times the sum of the first 3. Find r. (r being the ratio). If anybody could help i would be grateful, thanks.

Imagine an m x n matrix which has only 0 and 1 as its elements. I couldn't think of a better term for it, so I'm calling it a boolean matrix. 1) suppose m = n. I want to calculate the inverse of a given boolean matrix. Is this faster than computing it for a regular matrix (with elements other than only 0 and 1)? Is there an algorithm (analogous to, say, Gaussian elimination) which always preserves the boolean property at each step? Basically if you can maintain the boolean property, you can do everything using bit operations so it ought to be more efficient (besides there not being any numerical instability problems). 2) suppose m != n. I would like to compu…

can someone solve this system for me...its killing me to do it by hand and i dont have my hands on any software x'' - x' + y' + 2y = t y'' + x' - 2x - y = cos2t where x and y are functions of t i just need the general solutions for x and y.....thanks fellas