Complete Definition and 404 Threads

Homework Statement Suppose f >= 0, f is continuous on [a,b], and {integral from a to b} f(x)dx = 0. Prove that f(x) = 0 for all x in [a,b] Homework Equations The Attempt at a Solution Suppose there exists p in [a,b] s.t. f(p) > 0. Let epsilon = f(p) / 2 > 0. The...

Is it possible to show that an ONB (orthonormal base is complete). I am quite irritated by the insertions of ones of the form \sum_{n} \left| \Psi_n \right\rangle \left\langle \Psi_n\right| if the vectors are the eigenvectors of some Hamiltonian. So now the more precise questions: 1) Is there a...

Just wondering why its always denoted by the letter k.

I am wondering if somebody can please help me to locate a very accurate, complete periodic table. Specifically, I'm looking for one that is color, contains electron configurations, and is up-to-date and accurate to the typical number of decimal places. I've searched Google and was not happy...

What is the total file size for the complete MiKTeX system? The website (http://www.miktex.org/Setup.aspx ) doesn't seem to give this information.

Continuously differentiable Function C^1 {} \left[0,1\right] is complete with respect to the metric space D_\infty{}{f,g}=sup{\left|f(t)-g(t)\right|}+sup{\left|f^1{}(t)-g^1{}(t)\right|} but not in the d_\infty{}{f,g}=sup{\left|f(t)-g(t)\right|} Thanks for the helps in advance. Regards... BI

Homework Statement When baseball outfielders throw the ball, they usually allow it to take one bounce on the theory that the ball arrives sooner this way. Suppose that after the bounce the ball rebounds at the same angle theta as it had when released (see figure below) but loses half its...

I've searched high and low for a terse (yet complete) introduction to the foundations of non-relativistic QM. Shankar is unparalleled in terms of completeness, yet it is infuriatingly verbose. Landau's presentation is a bit dated and difficult to follow in many instances. It is also not as...

i thought i understand it but i guess i don't... you can expand a function in cosine f.s., sine f.s. and complete f.s. on some [0..L]. i thought that the coefficients a_n and b_n for complete expansion would come from sines and cosines respectively, but i guess that wouldn't make sense...

I was given to complete and balance the complete combustion of C5H12 I did this by adding O2 so it would be combusted and got: C5H12 (g) + 8O2 (g) --> 5CO2 (g) +6H2O (g) is this correct? thanks.

I know this is a common and important fact, so I've been willing to accept it, but this has always been something that has been "outside the scope" of my quantum lectures. Does anyone have reference for a proof?

and at what age did you complete your undergrad and grad degrees and phD if you did it? I have a feeling that after one reaches thirty one cannot progress further... since most famous researchers were still young while making their greatest discoveries... anyways, my feelings aside... I...

Hello guys , am a new to high school physics and chemistry. I have several questions about electric current , atoms etc. :confused: Okay so here it goes..:-p 1. What is electric potential and potential difference in simple language ? I heard that there are charges in metals and...

Homework Statement I'm reading a book on analysis independently. There is a Theorem that R is complete, i.e. any Cauchy sequence of real numbers converges to a real number. He let's a1, a2, a3, ... be a Cauchy sequence, then considers the the set: S = { x an element of R : x ≤ an for...

Has anyone here used this book? If you have, how would you rate it. To my surprise many programmers seem to despise Schildt's books. One is usually directed to this page to make the point. I was surprised because I found his beginner's guide on C++ quite easy to read and understand. (And...

I think we can do without the whole notion of truth and reality.The traditional notion of truth is that a statement is true iff there some "correspondences" between the statement in question and reality. An attack on this conception of truth is a either/and attack on: 1) The notion of...

Homework Statement Loop with radius 22m is all that is given and the required velocity to complete this loop is asked for. Homework Equations What I'm looking for. The Attempt at a Solution I've tried many equations, the answer is 33m/s but I don't know what equations to use to...

Many of you will have heard of these. Does anyone knowledgeable on conventional electromagnetics, suspect there may be some truth in it?

Queen's Brian May Rocks an Astrophysics Rhapsody http://www.npr.org/templates/story/story.php?storyId=90273890&ps=bb5

Homework Statement Let X be a metric space, with metric d. Fix a point a in X. Assign to each p in X the function f_p defined by f_p(x) = d(x,p)-d(x,a) where x in X. Prove that |f_p(x)|\leq d(a,p) for all x in X, and that therefore, f_p in C(X). Prove that ||f_p-f_q|| = d(p,q) for all...

I'm having problems taking a stab at this question: Find a formula for the number of edges in Kn. What happens to the ratio of edges to verticies as n increases? Formula: n/2 * (n-1) Ratio: this is the part I can't figure out. I assumed the ration is n/(n/2*(n-1)) Give a brief verbal...

Hi, As it stands, I am borderline clueless when it comes to mathematics. I had bad teachers in school and so was pretty much doomed from the offset. Anyway, I have recently developed an interest in learning more and improving my abilities but am having a thoroughly frustrating problem that...

is this theory is made of quantuam mechanics as husband and relativity as wife and is the existence of this theory is possible and when you think it will be published??!

This is an interesting statistic I read recently... apparently, in 500 million years the atmospheric CO2 will have been vastly depleted due to it reacting with silicon and being stored underground. The CO2 levels will then be too low to allow photosynthesis to occur. This statistic, presumably...

Homework Statement The drawing shows a baggage carousel at an airport. Your suitcase has not slid all the way down the slope and is going around at a constant speed on a circle (r = 12.8 m) as the carousel turns. The coefficient of static friction between the suitcase and the carousel is...

I'm having trouble understanding the CNIE process. It would be very much appreciated if someone could show me how to solve a sample problem.

Hi, I came across this article on Godel's incompletess theorem that seems to relate to number theory so I hope this is the right place to post this question. This paragraph is from http://www.miskatonic.org/godel.html ================================================================= In The...

I'm taking advanced function intro calc class right now, and I'm going to get atleast a 97%. I have no other 4U classes...can I still register for university this fall? or do I need to complete all six first?

Hi, I have an assignment where I must graph various trig functions and the instructions say to graph each for a complete cycle. Does a complete cycle mean until the graph begins to repeat so for instance a complete cycle for a sin graph would be from the range 0 to 2 pi? Thanks for any help.

Homework Statement I am to find the eigenstate of the operator i(d/dx) Homework Equations The Attempt at a Solution After writing the eigenvalue equation with eigenvalue a, I got |psi|=exp [(a/i)x+C] where C is the constant of integration... Now, I do not understand what will...

Homework Statement Hai Friends, i want to know the complete the dimension of bevel gear front teeth width and end teeth width. How this dimension are related with emperical formulas please give me complete detailing of bevel gear far straight and spiral also...

[SOLVED] complete measure space Homework Statement Assume that (\Omega,\Sigma,\mu) is a complete measure space, let \mu_{e} be the outer measure defined by \mu . Prove that if \mu_{e}(S)=0 \Rightarrow S\in\Sigma . I know that \mu_{e} = \mu when restricted on \Sigma and that if...

i am attaching the file please reply me as early as possible

I've kinda noticed some ppl like classical music here, so i thought this would be interesting.. http://www.boyunglee.com/music/beethoven/ps/index.html

or are they 1/8 of a sphere at the corners and 1/4 of a sphere at the edge?

Hi, I'm still thinking about returning to complete a grad. diploma (I have a BSc in CS, with a EE minor). I've got a hankering to do higher math but apparently I need some 2nd yr refresher stuff. And the adv topology, groups and Lie algebras etc aren't available except at 4th yr. And I'm into...

1. Complete the following table to obtain a Group, G, that is isomorphic to Z4 2. Complete the same table to obtain a Group, H, that is NOT isomorphic to Z4 *| a b c d a| b| c| d| I tried to complete the group as isomorphic, can anyone tell me if this is correct? *| a b c d a| a a...

Homework Statement A particular engine has a power output of 6.00 kW and an efficiency of 26.0%. Assume the engine expels 6000 J of energy in each cycle. (a) Find the energy absorbed in each cycle. (b) Find the time required to complete each cycle. P=W/delta t e=W/Q...

I need my computer to be restored to the way it was when I first bought it. I have a Dell with Windows XP on it, and I've already tried the system restore where it goes back to settings on a specific date, but that didn't help the situation. I can't even get on the Internet now. How do you run...

[SOLVED] Discrete Math - Complete set of representatives Homework Statement At what temperature fahrenheit is it equal to celsius? Homework Equations (none) The Attempt at a Solution

Suppose we did (for the first time) have a TOE that theoretically predicts all the experimental results to date on all sclaes of size. However two things are still in question: 1. How accuately does it predict everything (that have been experimentally carried thus far) at all scales? 2. How...

[SOLVED] Linear forms and complete metric space Homework Statement Question: Let L be a linear functional/form on a real Banach space X and let {x_k} be a sequence of vectors such that L(x_k) converges. Can I conclude that {x_k} has a limit in X? It would help me greatly in solving a certain...

Hello, My name is Joe and I am a junior in high school. I am taking AP Calculus right now along with a basic physics class. I am very, very interested in the special and general theories of relativity, but I want to know the exact logic behind it. Right now, I don't really understand any of...

this isn't really a homework problem it's just me trying to understand a part of an example problem from a modern physics book it's an integral of a wave packet, blah blah blah but they go on to say "...to evaluate the integral, we first complete the square in the exponent as..." ikx -...

Homework Statement Completing sentences... When the unbalanced force increases (total mass remaining constant), the acceleration of the system increases When the total mass that is accelerating increases (unbalanced force remains constant), the acceleration of the total system decreases...

I was told that there are no complete ordered fields of cardinality greater than 2^{\aleph_0}. Why is that?

Helo everyone, can somebody post the best algorithm/strategy to solve indefinite integral questions which are usually asked to undergraduates. The most general set of steps that can be applied to every question one encounters in the classroom. Algo that though may be proved to be inconvenient...

We are pinning high hopes on LHC experiment. One of the expected results of the experiment is detection of Higgs Boson that would complete the standard model. In fact, discovery of Higgs Boson would complicate the theoretical issues because then we will need to find out.. a. origin of Higgs...

When applying for the REU program, how many physics courses should I have completed, how high should my GPA be , and how much research experience should I have beforehand. Would assisting graduate students and/or a professor on a physics topic , such as rotating black holes or topics in nuclear...

"the programme for the consistent canonical part of the quantization of four-dimensional Einstein’s general realtivity is essentially complete." Eyo Eyo Ita III I guess we must be close. :smile: