Regular Definition and 269 Threads

I am not in the honors program at my University but I really want to get good at math so I was thinking about perhaps enrolling in an honors section for the Discrete math and Linear Algebra classes I'll be taking next fall. It seemed like the greater depth that these classes go would be really...

Homework Statement A uniform rod AB of mass M and length 2l attatched to a slider at A which is constrained to move along a smooth horizontal wire. The rod, which is subject to gravity, is free to swing in the vertical plane containing the wire. Using Ω (the angle between rod and vertical)...

Hi, I'm a undergraduate, major in physics at Weber State University in Utah. I have a very serious debate about whether is better for me to graduate here at Weber or make a transfer to the University of Florida (since am a resident in Florida). I began by getting my GED at seminole Sate...

Does anyone know if a set of homogeneous polynomials forms a reduced Grobner basis, then they form a regular sequence in the polynomial ring? Any references? All the references that I have looked at (so far) have not related the two. If this is not true, can you give me a counterexample...

Homework Statement Prove the following or disprove with a counterexample: Let f be a differentiable function in an open set U in R^3 and (a, b, c) be a point in U where the gradient of the function f isn't zero. If r: I -> U is a regular curve with a regular derivative on an open interval I...

I have seen descriptions for an algorithm that can take a regular deterministic finite automata and create a non-deterministic finite automata that is guaranteed to generate the reverse of string accepted by the DFA. Does anyone know of a "formal" proof that shows this is true in all cases...

ABCDEF is a regular hexagon with $\vec {BC}$ represents $\underline {b}$ and $\vec {FC}$ represents 2$\underline {a}$. Express, vector $\vec {AB}$, $\vec {CD}$ and $\vec {EC}$ in terms of $\underline {a}$ and $\underline {b}$. Before I start, I want to ask if we need to redefined $\underline...

Hi everyone! I am new to the forum but you have helped me many times in the past. I need your opinion about how much (roughly) brake torque can be produced by a regular car. I am developing a simplified vehicle model and I don't know how much torque to apply when the vehicle slows down. I...

Why is a quantum computer theoretically faster than a regular computer? Is it because of parallelization?

If dark matter is actually there and not just some flaw in our understanding or mathematics then how can galaxies be made of both and not just one or the other. If dark matter doesn't interact with anything else like light then how can a dwarf galaxy be made of "mostly dark matter"?I know its...

A is a square matrix such as: A^2 + A + I = 0 Which answer is correct ? a. A^-1 = A b. A^-1 = A^2 c. We can't tell if A is invertable d.A is not invertable e. A^-1 = A + I I have tried to play with the equation, I tried to multiply in A^-1 and to isolate it, but it didn't get me anywhere...I...

Homework Statement A particle moves along the x axis. It is initially at the position 0.250 m, moving with velocity 0.200 m/s and acceleration -0.290 m/s2. Suppose it moves with constant acceleration for 5.80 s. Position of Particle after 5.80 Seconds - -3.4678 m. Velocity of Particle...

Homework Statement Why do transition metals tend to form +1/+2 ions? Take electron configurations into account so that I can better understand this "easy" concept.2. The attempt at a solution I think it has to do with the s orbitals. These, I think are valence electrons that are easily lost...

An electrically charged particle has an electric field centred around itself that extends far into space. That field has an energy density proportional to the electric field squared. By Einstein's E=mc^2 that energy density is equivalent to a mass density. Thus, as a charged particle...

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...

Homework Statement Prove or Disprove L is regular, where L = {0^{i}1^{j} | (i^{2} + j^{2}) is square}Homework Equations N/AThe Attempt at a Solution I tried using pumping lemma, but I don't know how to assign p if there are two variables (i and j)... I understand the i^{2} + j^{2} would be...

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...