Mathematics

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…

Lets say that we have the set [math]P = { 2, 3, 5, 7, ... }[/math], where [math]P[/math] is the set of all prime numbers ... The series [math]P_1 + P_2 + P_3 + ...[/math] does it converge or diverge ..? [math]\sum_{P_i \in P} P_i \; = \; ?[/math]

I saw a video on youtube showing infinity = -1. Basically it starts with the series 1+2+4+8+16+... = infinity, then multiplies each term by (2-1) which of course equals 1 and 1 * x = x so you should wind up with an identical series. Now you have 2 series 2+4+8+16... and -1-2-4-8-16... and all the terms of the two series cancel each other except -1 so infinity = -1. I'm suspicious of the result but I don't see any mistake(I'm no math wizz). So I tried the same thing with 3-2=1 but I soon realized any other combination (3-2,4-3, etc)=1 just gives the original series back as you would expect multiplying by 1 to do. Is infinity = -1?

K, so I was looking for an online discussion forum to discuss this matter. I wanted to discuss this with people who might good with math and I found this forum in a google search, so I hope I'm in the right place. What I wanted to talk about is this cipher I discovered a couple of years back I named "The Stone of Gold": The Stone of Gold 0.A = 1 The Fool 1.B = 10 The Magus 2.G = 3 The High Priestess 3.H = 4 The Empress 4.M = 5 The Emperor 5.N = 6 The Hierophant 6.S = 7 The Lovers 7.T = 8 The Chariot 8.Y = 14 Lust 9.Z = 2 The Hermit 10.E = 11 Fortune 11.F = 12 Adjustment 12.K = 26 The Hanged Man 13.L = 9 Death 14.Q = 15 Art 15.R …

Is there many kinds of infinity? e.g. some infinity is larger that other infinity such as lim x->0, 1/x=infinity and lim x->0, 2/x=infinity both are equal to infinity, but actually the "second infinity"=2*"first infinity"

To cut a long story short, as they say , I'm throwing together a kind of "pub quiz" for some friends - it's maths based. The idea is you have to find sums for certain numbers but you're not allowed to use some basic maths operations. Now I just need clarification on something: If you weren't allowed to use subtraction when you're coming up with sums would you still be allowed to use negative numbers? (e.g. -4 + 5) I've never been sure whether, when you do a simple sum like "5 -3" you're doing "+5 - +3" or what you're actually doing is "+5 -3" I've never been sure because you can do sums like " -5 - -3" as well Clarification appreciated!

Hey everybody, new here...but don't worry, I don't have a "magic" equation for finding prime numbers, I do it the old fashioned way...through brute force. I've been dabbling with the series: 2*b^n+1 Where: b=11+12*c (c is any integer) When b is prime and 2*b^n+1 is also prime then 2*b^n+1 divides phi(b^n,2), according to proth.exe at least. I'm sure there's a simple explanation for this, it's been true in every case I've tested so far, but that's not the question... What I'm puzzling over are the values of b for which there is no "small" n. (n <1000) Has anyone pondered the same question? Is there ever "no n" for a given value? Of co…

I read this statement in a book. Difference of any two perfect squares is at least 3 It has been used to prove another question. I asked my teacher if he could tell me how to get this statement. He had no idea of it. Could you please tell me how to get this statement?

Hey Guys, I'm new here and my name is Asma.. Can I have some info about Square , Square roots , Cubes , and Cube roots?? Thank you

This may be too easy, but does anyone know what the next number in this series would be 1, 2, 3, 7, 43, 13, 53, ?

Okay.. I'm a complete idiot when it comes to math, but I have a question. I'm going try to my hardest to not make it sound like I barely graduated from a NYC public school... because that's what happened If I have four letters let say "abcd" how many different combinations of capitol letters can be placed in. For example "Abcd" "aBCd" "abcD" "AbcD" "aBcD" More so than knowing how many different combinations there are, is there a program that can give me the actual examples, kind of like a poker hand/odds calculator. Can I somehow get the actual examples/simulations, without writing the all out? Thanks in advance for any replies Josh

I have just a simple question about the imaginary number i : Since it's the square root of -1, is -i2 equal to 1? Thanks

Are Mathematics (excluding Geometry) depends only on addition and subtraction together with positive and negative quantities (away from whether imaginary is included or not)? Or, more or less?

Geometry can be analyzed to fundamentals. It can be proven to be based only on Pythagoras (some may debate to say on the circle property as well). Even the PI can be deduced from "Differential Pythagoras". And, thanks to 2 sincere girls, they derived it first to be analyzable to 4-funds: the above 2 in addition to plane-property and solid angle, which is true but in basics of properties (drawing) not basics of origin. Thanks and Admire to Mapy and Mavy. Regards.

Can anyone please help me with this series?? S=2^0/(3+1) + 2^1/(3^2+1) + 2^2/(3^4 +1) + ........ + 2^(n-1)/(3^2^(n-1) +1) sorry, my i do not know how to use tex in this forum can anyone show me how to do this series?? thank you. BTW this is not homework, its from past papers exams.

I found it on website. I don't understand how it is possible, so if somebody is able to explain this to me I will be grateful

I have an almost perfect theory but...... Which is which; 0^0 = 0 or 0^0 = 1 or 0^0 = ∞ factor in your answer/idea with a proof if any.

I'm familiar with the classification of fixed points of linear dynamical systems in two dimensions; it's readily available in many a book, as well as good ol' Wiki (http://en.wikipedia.org/wiki/Linear_dynamical_system#Classification_in_two_dimensions). However, what happens with higher-order systems, say, three-dimensional? In that case, you'll end up having three eigenvalues -- presumably, different combinations of their signs give rise to different fixed point types. Has this been investigated? I've looked at numerous books, and all I ever seem to find is classification for two dimensions. Any help with finding a book/paper/URL dealing with this would be much ap…

I am creating a presentation in Beamer, and I am using a theme that I really like except for the fact that the boxes it creates for the theorem, definition, etc environments are white. I was wondering if there was a way to change the color of these without choosing a new theme?

I am really concerned about my future. I am studying in class 10 and I want to pursue aeronautical engineering in future (My schooling pattern is different here) What I am concerned about is the fact that I am not good in mathematics now ( I used to be excellent earlier). If I do a test in speed, it lacks accuracy and if I do it with accuracy-it lacks speed. I am really shattered about my performance. Though I practice much and I am also interested in topics well off from school curriculum but of importance. Anyone please guide me. How to develop speed and accuracy? Is it only in practice or anything else? Also, should I go only with my school syllabus and stop reading…

Hi There is a method of grinding spherical concave mirrors or lenses by spinning the glass blank on a turntable with a grinstone wheel set at right angles to the azis of rotation also spinning. This is no doubt a very practical method of producing a spherical shape. I wonder however what would be the effect of inclining the plane of the grinstone wheel away from the vertical so that a slant edge was bearing on the glass blank. What would be the curve mapped out circle,elipse,parabola or hyperbola ? If a parabola then this would be a very cheap way of making astronomical mirrors ?

How do you solve equations like this?? -0.5lnx= x^2 the only way i cant think of is expanding lnx as a series and get an approximate answer, but that is as good as it gets. Can anyone help me please?? thank you

Hi all, I added LaTeX export functionality to this windows freeware I am developing. Maybe someone here will find it useful (someone lazy enough to learn LaTeX, but eager enough to learn new GUI). Basically, after you type it in, you select your equation (or just touch it with mouse pointer) and press the F6 to generate LaTeX code. The code is automatically copied into windows clipboard and you are free to paste it anywhere you want. The new beta can be downloaded from here: http://www.datafileh...d-6cea854a.html (515k .zip file containing Mathomir.exe file and an example document. Scanned for viruses.) The setup procedure is not included in this beta - just b…

The mode for grouped data You can calculate the mode for a grouped frequency table by using the following formula: Where: L is the lower class boundary of the modal class. fm is the frequency associated with the modal class. f1 is the frequency of the class before to the modal class. f2 is the frequency of the class after the modal class. h is the difference between the upper and lower bounds of the modal class. I want to know how this has been derived? If I know it I can be able to say why class preceding a class and following a class have an effect on the mode. Thanks.

i get the basic abs value inequalities e.g. abs(1+x)>3 etc... how do we solve in general for abs valued inequalities like this?? abs(x+1)+abs(x+3)+5>abs(4+x) etc.... im alittle confused. thanks in advance.