Regular Definition and 251 Threads

Homework Statement Regular pyramid T.ABCD has square base with side 1 cm. N is the mid-point of AB. Find the length of TN Homework Equations not sure The Attempt at a Solution No information given about the height of the pyramid and the length of the slant-edge, such as TA, so how...

Six problems due Monday, and I have no idea what I'm doing on either of these. Problem 1: Homework Statement A group of people has a total mass of 1500kg and are standing on one end of a 20,000kg boat. They walk 6.5m to the other end of the boat. How much does the boat move? The water...

Hello physicsforum, this is my first post I am reading up on scattering theory and I'm having difficulty rederiving some of the results. In 'Inverse problems in Quantum Scattering theory' (2nd Ed.) by Chadan and Sabatier they state that the solution for the s-wave regular solution, which is...

Can you calculate eigenvalues and eigenvectors for rotation matrices the same way you would for a regular matrix? If not, what has to be done differently?

Hello Forum, is someone able to explain, conceptually, in layman terms, the difference and benefits of qubits compared to regular bits? thanks, fisico30

Hi I am a grade 12 student in Canada and goint to apply for University of Waterloo. I am not supposed to declare my major yet but I am quite certain that I will major pure math. Now waterloo asks us to choose between co-op and regular. 1)co-op I don't know what kind of jobs are...

So in class today the lecturer gave a regular map on the set V(s_{1}s_{2}-s_{0}^2) in projective 2-space to projective 1-space by \phi = (s_{0}:s_{1})=(s_{2}:s_{0}). I'm confused. Is that another representation of the "function"? (Meaning they map to the same point classes?) or is it an...

PhD from a "regular" University Hi, So I recently started grad school going for a PhD in Physics at Oregon State University.So far It seems like a decent program and the research is interesting. I've just started thinking about what kind of opportunities I'll have after I get my PhD though...

Hello, glad to be able to post my question ^^ ok I'm no scientist and I haven't looket at the math of quantum mechanics and such but i get the general idea that subatomic particles (like electrons) are like waves of probability, that they are more likely to pop "in and out of existence" in one...

Hey everybody, I am in high school and have an interest in physics. I am wondering what the major differences are in these types of classes, usually. I am advanced for my age at math and I have a decent foundation on physics. Thanks!

Can someone please explain to me the difference between a regular derivative and a partial derivative?

Hello everyone, I'm just getting into differential geometry at the moment and I am confused about one of the conditions in the definition of a regular surface. It is the regularity condition. I'll include the whole definition here for the sake of completeness. A subset S\subset...

Say we have an ODE \frac{d^{2}x}{d^{2}y}+ p(x)\frac{dx}{dy}+q(x)y=0 Now, we introduce a point of interest x_{0} If p(x) and q(x) remain finite at at x_{0} is x_{0} considered as an ordinary point ? Now let's do some multiplication with x_{0} still being the point of interest...

Why rainbow formed ?

Can an antiproton(negatron) "orbit" around a regular nucleus? Since it's negatively charged like an electron, can it orbit around a "normal" nucleus? Or a more general question: can something be part matter and part anti-matter? Edit: I guess this answers my question...

Homework Statement This isn't really a homewrok/coursework question, but I didn't know where to put it. I'm trying to teach myself python over the summer and I seem to have got stuck on regular expressions. I want to read a .txt file with data for various kinds of swallows, laden/unlden...

Hey guys these aren't math exercises; I just don't understand a couple parts in my textbook. 1. Cos(x)/Sin(x) = Cot(x), but Cot(x) * sin(x) ≠ cos(x). Why? I know tan(x) * sin(x) ≠ cos(x) because during precalculus nobody ever used sin(x) * cot(x) = cos(x) for anything, but I don't know why you...

If dark matter really does exist everywhere, and is constantly passing through our bodies, why doesn't this extremely dense matter affect regular matter? How are the atoms of our body not pulled by dark matter's gradational field? Also, if dark matter is thought to exist because stars in...

Homework Statement A function g is \alpha-regularly varying around zero if for all \lambda > 0, \lim_{x\to 0} \frac{g(\lambda x)}{g(x)}=\lambda^{\alpha} For real s and \alpha \in (0,1), define f: f(s)=1-\alpha \int_{0}^{\infty} e^{\alpha t}...

Homework Statement Locate the singular points of x^3(x-1)y'' - 2(x-1)y' + 3xy =0 and decide which, if any, are regular. The Attempt at a Solution In standard form the DE is y'' - \frac{2}{x^3} y' + \frac{3}{x^2(x-1)} y = 0. Are the singular points x=0,\pm 1\;? Regular singular...

[PLAIN]http://img820.imageshack.us/img820/9868/heaviside.png

I am reading reasearch paper about electrodynamic wave. In the paper, there is a following description 1. regular function 2. outgoing function They seem to be related to vector spherical wave function. What is the "regular function" and "outgoing function"? I would like to know...

Homework Statement A car accelerates uniformly from an initial velocity for 6s. The displacements in the 3rd and the 5th seconds are 12m and 18m respectively. Find the acceleration and the initial velocity of the car. (Answer: 3m/s^2 , 4.5 m/s) Btw this from a first year physics course...

Let L be language over unary alphabet {0}. Show that L is context free iff L is regular. Could someone give me a hint how to solve this problem? I solved similar problem: Show that L* is regular, but I still don't have idea how to solve previous. Second problem could be solved in this way (e...

Homework Statement 1) If f:M -> N, where M is a compact and boundaryless manifold, N is a connected manifold has regular values y and z. And h:N -> N is a diffeomorphism which is smoothly isoptopic to the identity and carries y to z, then why is z a regular value of the composition h o f...

Homework Statement A regular tetrahedron has the vertices of its base A(1,1,0) B(3,1,0) C(2,1+(3^(1/2),0). Find coordinate of vertex S? Homework Equations The Attempt at a Solution If this is a tetrahedron Then we know the length by caclulating the distance formula, which gives...

I'm unsure if this regular expression can be simplified, if it can, could you please explain how? Thank you! (a U b)*(a U e)b* U (a U b)*(b U e)a* The e is the empty string, and the U stands for union.

I'd like to have someone explain to me the purpose of the variable change in the proof of the following theorem: A parametrized curve has a unit-speed reparametrization if and only if it is regular. Proof: Suppose first that a parametrized curve γ: (a,b) → R^n has a unit-speed...

Homework Statement I am reading this trig book and it is saying that if both are reg polygons ( I am assuming they would have to have the same sides) that they are ratios of one another... I would like to read more on this so I understand it better... is there a link anywhere that someone can...

Homework Statement As the title suggests, I need to show that every manifold is regular. There's probably something wrong with my proof, since I didn't use the Hausdorff condition, and the book almost explicitly states to do so. The Attempt at a Solution So, a m-manifold is a...

Homework Statement For some reason this one is really troubling me. So, a small hint (if possible) would be highly appreciated. Let X be completely regular, and let A and B be disjoint closed subsets of X. If A is compact, there exists a continuous function f : X --> [0, 1] such that f(A) =...

Homework Statement So, one needs to prove that every regular Lindelöf space is normal, exactly as the title suggests. The Attempt at a Solution I used the following theorem: Every regular space with a countable basis is normal. Now, what we need to prove can be proved very...

I was looking through a list of engineering degrees offered http://www.engineerscanada.ca/e/pr_programs1.cfm and i noticed that almost all of them are XXXX engineering. However, if you go down to the university of regina (my school) all the degrees are XXXX systems engineering. I am...

The number of sides of two regular polygons are in the ratio 5:4 and the difference between their interior angles is 6 degrees.Find the number of sides of the two polygons. I forgot the relation between interior angles and the number of sides of a regular polygon.Can anyone help me to figure...

Hi everyone. I want to get into an okay PhD program for pure math (analysis or algebra). I don't care if it is a lowly university, just so it is accredited. What are my chances of getting into such a program with funding? To how many universities should I apply? My background is as follows...

Hi all, this has been bugging me so maybe you can help me out. In the front window of my house, there is a dent in the glass that looks somewhat similar to this: http://www.flickr.com/photos/guerra/2557095422/" However, there is not hole in the glass. But the shape of the dent is...

So is there any set of defined rules that help in the simplification of regular expressions? Because till now I would simply try and look at the patterns and see whether this or that simplified version would generate the same.Intuitive, but now always fast or correcct. So is there any...

Homework Statement To prove that every metric space is regular. :) The Attempt at a Solution So, a regular space satisfies the T1 and T3-axioms. For T1: Let a, b be two distinct points of a metric space (X, d). Then d(a, b) > 0, and let r = d(a, b)/2. Then the open ball K(a, r) is a...

hey i am stuck on this question for my ode course its using frobunius 4. show that the equation yii + 1/x yi + (1-1/(4*x^2))y = 0 has a regual point at x=0 using the method of frobenius assuming a solution of the form y=\sum ar xc+r show that the idical equation is c^2=1/4...

Homework Statement Σ = {a,b} find regular expression for 1)all strings that haven't got more than 3 a's 2)all strings that have a number of a's that is divisible by 3 3)all strings that have the substring aaa only one time The Attempt at a Solution 1) b*Ub*ab*Ub*ab*ab*Ub*ab*ab*ab* 2)...

Homework Statement [PLAIN]http://img265.imageshack.us/img265/6778/complex.png I did the coefficient of the w' term. What about the w term? This seems like a fairly standard thing, but I can't seem to find it anywhere. What ansatz should I use for q, if the eqn is written w''+pw'+qw...

Homework Statement 6x2(x+1)2y''+0.5x(x+2)y'+y=0 ii) Find all values of r for which there is a series solution of form xr\sum(anxn,n=0,inf) a0 \neq0 Find all values of r for which there is a series solution of form inf xr\suman(x-2)n...

Hey, I'm in second year of engineering, and have to pick my courses for third year. I have the option of going into mechatronics or stick to regular mechanical engineering.I don't know what i should do. I heard mechatronics has a lot to do with controls system. I want to invent my own things...

I am planning to take the A.P. Physics exam B at the end of the school year. My question is, will this be ridiculously difficult for me? In my regular physics class, we have quite a slow pace on moving forward (We're only on centripital force!). How much will I need to know in order to pass the...

ODE Series Solution Near Regular Singular Point, x^2*y term? (fixed post body) Homework Statement Find the series solution (x > 0) corresponding to the larger root of the indicial equation. 5x^{2}y'' + 4xy' + 10x^{2}y = 0 Homework Equations Solution form: y =...

I was wondering, since the size of complementary sets comes up often in other areas of math, e.g. the set of rational numbers is countably infinite but set of irrationals is uncountably infinite, so that the set of irrationals is in some sense "larger" than rationals. Does a similar kind of...

how to prove that the symmetry group of a regular polygon has only 1 and 2 dim irreducible representations?

I have to learn a section from my textbook and I can't seem to undertand what a regular transition matrix is. The definition given is: A transition matrix is regular if some integer power of it has all positive entries. Now an identity matrix isn't regular, but I am pretty sure all integer...

what happens if u accidentally use regular water to dissolve something u want to electrodeposit later instead of using DI water? will it change how it normally works? i think i mixed up the jars :frown:.

Recently, I purchased a pair of glasses from a privately owned optic store. I specifically asked for hi-index lens (1.56 or 1.60, I am not sure). The lens I got, however, is kind of thick (around 5 mm thick on the edges).My eye -sight is poor though, -5.00 sphere, -1.25 cylinder on the worst...