Topic profile page for Homogeneous.
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Topic "Homogeneous" was discussed 6,100 times on 1,041 sites in last 3 months
Started 4 days, 19 hours ago (2009-12-01 12:09:00)
by Ionophore
Hi all, This is a problem i've been working on, off and on, for a few months now. It seems like it should be possible but I just can't figure it out. Suppose you have a first order homogeneous function . In other words, f has the property that: . I define a second function, g, as . If we define and , then I can write . g ...
Started 2 weeks, 1 day ago (2009-11-20 15:25:00)
by hth
1. The problem statement, all variables and given/known data A function f is called homogeneous of degree s if it satisfies the equation f(tx,ty,tz)=t^s*f(x,y,z) for all t Prove that the from i=1 to n of x i * df/dx i (x 1 , x 2 , x 3 ,..... x n ) = sf(x 1 , x 2 , x 3 ,..... x n ). 2. Relevant equations 3. The attempt at a solution...
Started 3 weeks, 2 days ago (2009-11-12 09:54:00)
by madness
1. The problem statement, all variables and given/known data For any construct a homeomorphism such that . Deduce that is homogeneous. 2. Relevant equations Definition of a homogeneous topological space, ie that the exists a homeomorphism for each pair of points x,y which maps x to y. 3. The attempt at a solution I can't find ...
Started 3 weeks, 6 days ago (2009-11-08 10:02:00)
by box.girl...
I am having a hard time understanding homogeneous differential equations. Namely the beginning steps. I understand that the substitution y=vx is required. But how do you arrive at the conclusion that : dy/dx = v + dv/dx ?
Started 1 month ago (2009-11-05 17:45:00)
by phil ess
1. The problem statement, all variables and given/known data Find the general solution to y'' + y = sec 3 (x) 3. The attempt at a solution Well I can get the characteristic equation: r 2 + 1 = 0 r = +-i Then the homogeneous solution is yh = C 1 e x cos(x) + C 2 e x sin(x) And I know y = yh + yp but how do I get yp? Ive ...
Started 4 days ago (2009-12-02 07:30:00)
by nanobot
I am having trouble getting to a solution for this differential equation -------- 1 for a series solution, we have to assume y = ---------- 2 if we divide equation 1 by , we get for the y term, which is where my problem is, i can't get that term to common out in the series and always leaves me with an x term. may be i need to keep going ...
Started 3 days, 18 hours ago (2009-12-02 14:06:00)
by Coldatoms
Originally Posted by nanobot Thanks for the suggestions/comments. @coldatoms - to get the indicial equation, how do we get rid of the right hand side term in equation 1. i am still left out with a x or an when i use the ...
Started 1 week ago (2009-11-28 15:59:00)
by BobbyBear
Consider the following linear homogeneous ordinary differential equation system: (NB this system describes the movement of the natural response of a two degree of freedom structural system made up of two lumped masses connected by elastic rigidities) : which I shall compactly write as: Now, to solve, we assume a solution of the ...
in the below question are 2 identical, homogeneous boards, glued together at their centres with the forces applied as in the diagram. the maximum normal stresses are 30MPa for the boards and 20Mpa for the glue the maximum shear stresses are 10MPa for the boards and 10Mpa for the glue the line AB is 10cm long and extends by 0.2mm 1) what are the principal ...
Started 1 week ago (2009-11-28 10:55:00)
by sphlanx
1. The problem statement, all variables and given/known data We are given a homogeneous system of 5 equations and 3 variables. We are asked to find the solutions (which i found to be unique and ) and then we are asked(along loads of other stuff:P): a)If any two linear transformations g and f have kerf=kerg= then they are equal. b)If any two linear ...
Started 5 days, 16 hours ago (2009-11-30 15:33:00)
by Physics of Math
What do you think sets an applicant "over the edge"? Assuming the applicant has good GPA/MCAT numbers, impressive EC's, and a well written personal statement, said applicant is homogeneous in a sea of others. If you can, list two: one self-directed and one competitive.* E.g. 1-Learning (and testing at a proficient level) a foreign language is an excellent self-directed experience. ...
Started 1 day, 1 hour ago (2009-12-05 06:11:00)
by R.D. Silverman
Quote: Originally Posted by FactorEyes Thanks for the background. These homogeneous Cunningham numbers may be particularly good at triggering that bug. It took 11 tries to split off a factor. Code: 4^281-3^281 C146 SNFS difficulty: 173 digits. Divisors found: r1=...
Started 2 days, 1 hour ago (2009-12-04 06:40:10)
by musername
Since there are so many immigrants clamoring for entry into these once peaceful and homogeneous Scandinavian countries, why not let in only the middle->high income ones? These countries have relatively high tax rates so they'd get more tax, won't be bleeding welfare, won't have to spend as much on social housing and on integration generally. Some might consider this discriminatory or ...
Started 1 day, 2 hours ago (2009-12-05 05:16:00)
by MicroBrew
Quote: Originally Posted by Sway No it is not contradictory, my point is that having a homogeneous society in the first place would have been the better course. Ok so a homogeneous society is good in some regards. There are benefits and down sides to not being homogeneous, it isn't all 1 way or the other. ...
Started 4 days, 9 hours ago (2009-12-01 22:11:00)
by deckingraj
@baconlover First of all let me apologize for accusing you of flaming the thread...It was surely uncalled for...I hope you will accept my apology and we can debate like civilized folks Quote: > deckingraj: would you mind sharing why democracy won't work in india?? Ummmm..Actually i was saying that it will work in India...Its you who said ...
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