Mathematics

I had a question in a recent exam that asked you to prove the formula to calculate the sum of an A.S. I only got 2/11 on it so i was wondering if someone could tell me it. I have searched the internet for one but all seem to be a bit rubbish and i think i can get better results here

(X¡ôN)¡ê(XX) Now take X to be N, and we have the contradiction (N¡ôN)¡ê(NN) Known of these was given by Russell himself in 1919 and concerns the plight of the barber of a certain village who has enunciated the principle that he shaves all those persons ans only those persons of the village who do not shave themselves. The paradoxical nature of this situation is realized when we try to answer the question, "Does the barber shave himself?" If he does shave himself, then he shouldn't according to his principle; if he doesn't shave himself, then he should according to his principle. Other attempts to solve the paradoxes of set theory look for the trouble …

Gauss's law describes the electric field created by the point charge. This law is applied when the point charge is isotropic only. Do you think it's a trivial matter? I don't think so. I tried to extend Gauss's law to the case when the point charge is not isotropic in the following site; http://hecoaustralia.fortunecity.com/gauss/gauss.htm

Can you get pi anywhere on the Klein bottle or are the two related in any way? I am just wondering being I don’t know much about the Klein bottle but I am wondering overall if it has any connection to irrational numbers then of course I though about pi.

If you can have commutative properties for an axiom such as A+B is equal to B+A does this mean physically in reality that at some extent all physical objects must at least have one thing in common? I mean A could be bob and B could be ann so you could say bob and ann is here and ann and bob are here right? On that note should you would not say annbob is here or bobann is here, so does equality in this sense merely apply to this existence in knowledge of bob and ann? Or what else is so fundamental about A+B=B+A that it can pertain fully or correctly to physical reality? Because to me for it to reach equality in another sense then applies at least a scope or scale to t…

Hello! I'm attempting to show a superiority of a collaborative agent over other agents exist in a learning system. In such a system there is a one unique agent that is able to learn both from interaction with the environment and from the other learning agents that exist in the system. The other agents can only learn from interaction with the environment, independently and are not aware of the collaborative agent or any other agents. I don't know if it is possible to prove superiority without attaching conditions to my proof. Thereby, I added a few conditions. Here is my progress (it's short): http://www.ie.bgu.ac.il/kartoun/site/Reinforcemen…

An axiom to settle the continuum hypothesis ? (Logic Colloquium 2004 contributed abstract) Paul Cohen used a set of generic reals to prove the consistency of the negation of the continuum hypothesis with other axioms. It is my opinion that such sets do not really exist for a Platonist. My opinion is that the continuum hypothesis is true. Here is a tentative axiom from me to try to prove it. Axiom : An infinite subset of the power set of N has a bijection either with a countable union of (pair wise disjoint) sets of n elements or with a countable Cartesian products of (pair wise disjoint) sets of n elements. Mr Andreas Blass proved that this axiom is equiv…

Hey All, At first watch I was at a loss of how they developed such creative mathematics and architecture. After no sleep I came with this conclusion, if you would be so kind as to scrutinize: In the development of mathematics the progression could be described as having evolutionary traits. As much as we love to learn just for the sake of sating a ferocious curiosity we unfortunately would not get as many grants as the people claiming that their math/physics can better mankind. So our math tends to follow the needs of the time. In the case of western civilization you see an abundance of grid/simple geometric systems from street layout to pipeline. In the case o…

I never studied the curve algorithms; I just use 'em. So I really have no idea how to answer this question. Once again working in SVG. When using the cubic Bézier curve commands, I want to find out the coordinates of the actual peaks. For instance, c 3.75,20.0 5.00,-20.00 8.75,0.00 approximates (!) a one-cycle sine curve. I want to be able to figure out the curve's minimum and maximum (y-axis) values. How can I do this? Thanks!

So I have finally decided to go back to school. Its been nearly 5 years since I was last in a formal educational setting. I dropped out of high school, but have made the choice to attend a county college and hopefully transfer to a 4 year school (Rutgers University). Major will be Computer Science. I've decided a little catch up work is in order as I never payed attention in school. As far as math goes, I'm starting at the basics. Just finished a basic arithmetic book. Adding, subtracting, multiplication, division, decimals, fractions, etc etc. Now, I know this is very basic, and thats what I was going for.... My question is, where do I go from here? If i remember, pre-al…

At work my friends sometimes gamble on this harness race web game. The game is simple - the odds are posted and the horses run (but the favourites seldom win). The game is single player so we use the odds to determine the payouts and play 'to win' bets - each of us picks a horse. Some must bet more than others depending on how their horse is listed. A long shot is a low bet that could win everything... get it? One of my buddies is now winning all the time. Esp after we play a few times - he has a system and at first it was a joke but now we are all curious as to how he has managed to figure out this simple racing game. Some kind of a probability equatio…

Density is 10.34 Flow is 1844 Nm3/h… Anyone know how to convert to Kg/h?

In wikipedia http://en.wikipedia.org/wiki/Algebra In algebra www.algebra.com In google http://books.google.co.in/books?hl=en&id=FJmiSW1KRBAC&dq=algebra&printsec=frontcover&source=web&ots=k1a6i_JdeY&sig=ImQYTeBP75MH6fmV-lBuGVdZA4Y&sa=X&oi=book_result&resnum=3&ct=result#PPA214,M1 in google www.algebrahelp.com applets in linear algebra www.mathresource.iitb.ac.in/linear%20algebra/appletsla.html In google http://books.google.co.in/books?hl=en&id=XDN8yR8R1OUC&dq=algebra&printsec=frontcover&source=web&ots=fodeL0CGFQ&sig=ehGSN1nVi-ifbk9gGznHqjpX1hY&sa=X&oi=book…

1. For [ ( p → q ) ʌ q ] → p make up the statement for p and one for q, then write a statement of this form in words to illustrate that this statement form is sometimes false. 2. The negation of statement form like pʌq can be written "not(pʌq)" or " it is false that pʌq" but these are considered trivial negations. A non trivial negation will change the form of the statement. For example using DeMorgans Law the negation of (pʌq) can be written (not p ᴠ not q). Using some of the logical equivalences on the tautology sheet write a non trivial negation of each of the following statements: a) If roses are red then violets are purple. b) Triangle ABC is isosceles or…

This may seem completely random, but my roommate and I were having an argument about whether or not there is a set of parabolas that, when paired together, a circle tangent to both of them could be a unit circle. He's positive that it's possible, but I'm not convinced, knowing that parabolas increase at different rates at different times, and a unit circle, being a constant shape and having a constant diameter, could not effectively be placed in between them for infinity. Any ideas? (And if you need clarifications, just ask. It seems a bit confusing, and I'm not in the state of mind right now to fix it.. Sorry! )

In my presentation of my progress in my project on Topology, I mentioned something about how Non-Euclidean surfaces have curvatures [math]\neq 0[/math]. My math teacher pulled me aside afterward and proposed to me the following: Around a point on a Euclidean surface is 360º. You said that in order for this value to change, the surface must have some curvature. However, [at this point he took a piece of paper and pointed to a point lying directly on on edge] about this point there is 180º. I interjected at this point, claiming that I was talking about an edgeless plane, and he continued: [Making a crease at the point and then joining the two halves of the edge on w…

hi all, can anyone please help. Im stuck on calculating the volume - If you had a mass of 1.028 x 10^26 kg and density of 1.61 x 10^3 kg m-3. I have come up with what i think is the answer that is 0.63850931677m^3 If this is correct, then how do i write this answer to the appropriate number of significant figures. Many thanks Carl1

Hey all, just a quick question, does anybody recognize a pattern in the following numbers...? 1, 2, 2, 3, 4, 3, 5, 4, 6, 7, 5, 3... I can post more if you need them. Cheers, Gabe

Which of these relation on the set of all people are equivalence relation ? Determine the properties of an equivalence relation that the other lack. (1) {(a,b) | a and b are the same age} (2) {(a,b) | a and b have the same parents} (3) {(a,b) | a and b share a common parents} (4) {(a,b) | a and b have met} (5) {(a,b) | a and b speak common language} Appreciate your reply.

the maximum kinetic energy of a photoelectron, Ek,max , to the smallest amount of energy, E0, needed to free an electron from the metal, and the energy, Eph , of the incident photons of light: Ek,max = Eph – E0 In addition, you know that Eph = hf where h is the Planck constant and f is the frequency of the incident light. Which one of the following graphs represents the relationship between Ek,max and f ? please help answer due tomorrow. Carl1.

Mathematics is certainly a science in the broad sense of "systematic and formulated knowledge", but most people use "science" to refer only to the natural sciences. Since mathematics provides the language in which the natural sciences aspire to describe and analyse the universe, there is a natural link between mathematics and the natural sciences. Indeed schools, universities, and government agencies usually lump them together. (1) On the other hand, most mathematicians do not consider themselves to be scientists and vice versa. So is mathematics a natural science? (2) The natural sciences investigate the physical universe but mathematics does not, so mathematics is not r…

Hey all, I'm curious as to how to calculate the surface/volume of a shape I though of the other day. Since I don't know if what it's called (heck, I don't even know if it exists) and I'm not even close to being good enough with Photoshop to make a picture, I'll have to describe it, which may prove a little tricky. So, here we go. It's three dimensional. Imagine you have a circle with center [math]S_1[/math] of radius [math]r_1[/math] in space. Now imagine on either side of it, an n-sided convex regular polygon with a center [math]S_2[/math] and diameter (that is, the distance between the center and the place where two edges meet) [math]r_2[/math]. The distance bet…

x^4 +y^4+z^4 =4xyz-1 denkleminin bütün gerçel çözümlerini bulunuz x^4 +y^4+z^4 =4xyz-1 Find all real solutions of the equation

Show that: if the sum of the digits of a natural number N is divisible by 3 then 3 | N.

i can't picture it in my head of how it looks like. I see a front view of it in the book "The Road To Reality" by Dr. Roger Penrose. The picture is a woodcut by M.C Escher called circle limit I. http://math.slu.edu/escher/upload/thumb/e/e5/Circle-limit-I.jpg/200px-Circle-limit-I.jpg So i was thinking how the universe of hyperbolic plane is round and nothing outside of the circle is existent. But i wondered how it would look like from the side or will it be the same as the way i am looking at it right now? Or will it look like a curve with an opening with two lines consisting of it that extends infinitely.