Mathematics

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.

okay i have problem, and i want to know how to solve these kind of questions in general. i think i get it, but its alittle confusing. so the problem goes like this, say f(x)=-2x^2+10x-150, find the domain of f such that its inverse exists. I get the Domain of f(x)=R range f inverse, but maybe someone could clarify the situation here for me. Thank you

Hi, I have two points in 3D space: point A: (1,2,3) point B: (4,7,6) I want to find a third point between the two, where z = 5 So, point C: (x,y,5) How can I calculate x and y for point C. Thanks.

When adding 2 vectors by the parallelogram method, it seem's obvious that the operation is always commutative, although I'm not sure how to go about constructing a proof of this. When adding >2 vectors is the operation always distributive?

I'm computer science researcher, but I'm not really good at math, that I want to improve myself, I studied: Basic Calculus, Basic Geometry, Discrete Mathematics, Basic Linear Algebra, Basic Probability & Statistics I know how to get math courses, but in what order should I go .. I want to know the path where I can then understand Quantum, Super mathematics, ..etc best regards, khaled

A seemingly simple question, do all algebras have at least one non-trivial derivation? Noncommutative algebras (lets say over complex or real numbers) always have at least the inner derivations. That is one can pick an element not in the centre and use the commutator to define a derivation. There may be outer derivations also*. Now for the commutative case the same procedure will produce an operator that annihilates all elements in the algebra. So we need outer derivations. If the algebra is generated by a finite number of generators then one need only state the action on the generators and extend this to the whole algebra. So for polynomial algebras with the s…

So what areas, and/or topics in mathematics are you all interested? Analysis, Algebra, Algebraic Geometry, Number Theory, Applied Maths, etc.. Personally I am not at a point where I am absolutely sure what I am interested in, but from my limited experience analysis, algebraic geometry, and number theory all seem to be towards the top of my interest list.

Who is the world's top mathmatician and why ?

Could someone explain, in as simple and non technical terms as possible, what integrating and differentiating are. Is there a simple everyday example where these two things are used. I've had a look in various places and they all tell you how to do it but not what it is you are actually doing i.e. the penny hasn't dropped for me yet. Your help would be much appreciated.

So there's been talk around the internet for a while now about what is wrong with mathematics education in the USA. Lockhart's Lament, is a good read if you want a good synopsis of some of the ideas that have been floating around. I thought this would evoke some good forum discussion. One problem I see is that much of the necessary mathematics for a good high school science education get introduced way too late, or not at all. Take for example the calculus/physics problem. Many high schools don't introduce calculus until near the senior year so students never get a chance to take a good physics course. Instead they get a primarily algebra based physics course tha…

I was wondering why something like X^2 + 2x doesn't = 2x^3, yet via multiplication would...

Begin with Euler's Identity: [math]e^{i\pi} + 1 = 0 [/math] [math]e^{i\pi} = -1 [/math] [math]e^{i 2\pi } = 1[/math] [math]e^{i 2\pi} = e^0[/math] [math]i 2\pi = 0[/math] [math]i = 0[/math] [math]1 = 0[/math] Euler says so!

Hello, I have some data, (x,y) (2, 0.356) (3, 0.543) (4, 0.724) (5, 0.905) (6, 1.086) (7, 1.267) (8, 1.448) (9, 1.629) (10, 1.810) (11, 1.991) (12, 2.188) (13, 2.364) the x,y plot is linear and the correlation R is 1. The y value is a coefficient and I would like to non-linearize the coefficioent to create the following conditions; when x=2, y=1 when x=13, y=2 when x=7, y=4 If I apply a parabolic transformation y= A*(x^2) + (B*x) + C with, A = -2.42 B = 7.1 C = -1.222 I get close, but the maximum values is at x = 8, y= 3.985 This is the transformed x,y data (x,y) ((2, 1.0) (3, 1.920) (4, 2.650) (5, 3.222) (6, 3.635…

Hi all, I was reading an article in new scientistabout physicists suggestion the universe may be fractal, this kind of makes sinceto me since they’re rather good at describing leaves, trees coastlines ..basically anything well.. ‘natural / organic’. I know complex structures likesocial networks can exhibit fractal geometry as well; these structures can alsoexhibit complex and chaotic behaviours like weather patterns, neurons and othergraph structures. Navigating suchstructures could be considered NP-Hard (e.g. what order and how to manipulate proteinsin to fold them optimally). This got methinking about whether fractals could be used to turn the complexit…

This is a problem I initially solved while I was a patient in the mental hospital. A few years later I was testing it to see if it actually worked, which it didn't, so I got into it again with a vengeance, solved every possibility and tested all calculations for any situation on an Excel spreadsheet. This is the result of my work. It's already been solved before but I had to find out for myself. http://jons-math.bravehost.com/triangulation.html A necessary requirement for GPS is to determine the distance between the satellite and the receiver. Somebody told me once that they do that with a time stamp on the signal from the satellite. Even so I s…