Composite Definition and 378 Threads

Homework Statement “Geologist A” at the bottom of a cave signals to his colleague “Geologist B” at the surface by pushing a 11.0 kg box of samples from side to side. This causes a transverse wave to propagate up the 77.0 m rope. The total mass of the rope is 14.0 kg. Take g = 9.8 m/s². How...

Hi! I was thinking about primes and have a bit of a question. I apologize if this is too easy or obvious -- I haven't thought much about it. Take two relatively prime numbers, P and Q. P < Q, and P is not prime. How many pairs (P,Q) are there so that ALL positive integers which are...

So, say I have a composite hilbert space H = H_A \otimes H_B, can I write any operator in H as U_A \otimes U_B? Thanks

Person A spends all his income ($100) on good X and composite good Y. Draw person A's budget constraint if good X sells for $5 each and each time he buys 5X, he receives a coupon redeemable for one unit of good Y. How would you draw this graph?

Question: Let f: A -> B be a bijective function. Prove that f o f^(-1) = IB (IB = I lowercase B ) Answer: Let x be an arbitrary element in the set A and f(x)=y . Therefore x is in A because f: A -> B. f o f^(-1) =f(f^(-1) (x)) and that's as far as i got any help would...

A particle of rest mass m. and kinetic energy 2m.c^2 strikes and sticks to a stationary particle of rest mass 2m.. Find the rest mass M. of the composite particle. (.=zero subscript) The answer is (17)^1/2(m.)

Hi, I have this question: if f and f \circ g are 1 to 1 functions, does it follow that g is 1-1 function? My answer is NO g doesn't have to be 1-1 function. for example , if g(3)=4 and g(7)=4, then f( g(3) )= f( G(7) )=f(4) will produce the 1-1 function property. Is my...

I am not sure if this is exactly the right place but it works either way. I am interested in learning more about Composite Design Techniques mainly fiber based materials (carbon, kevlar, fiberglass, ect...) does anyone here know of any good resources/books that focus predominantly upon this...

new paper by Kovtun and Zee http://arxiv.org/abs/hep-ph/0604169 idea of composite neutrino earlier we discussed Sundance Bilson-Thompson topological preon model incorporated into quantum gravity by Lee Smolin and described in the online Lecture Series Introduction to Quantum Gravity, Lecture...

This is the only section so far that i don't understand, i don't know how to do some types of questions like the ones I am going to ask, can anyone please help me with these. 1. Let g(x)= x-3. Find a function of f so that f(g(x)) = x^2 2. Let f(x) = x^2. Find a function g so that f(g(x))...

Dear PF, Can I consider the composite field for instance psi_bar psi as a scalar filed? I mean can it be the same in all respects? Can this composite field and scalar filed treated as totally equivalent? Thks

This has to do with the 2nd order recursive sequence \{...a, b, c ...\} where a,b,c are any three sucessive terms and c = 6b-a + 2k. I found that it has the following property. 8ab - (a+b-k)^2 = 8bc - (b+c-k) That is eight times the product of two adjacent terms always equals the square of...

Hello I have the following problem: Given two function f and g which are continuer on R, and some point c which belongs to R. I'm suppose to show that if f(c) = g(c), then h is continious on R. Isn't that the same as showing that that the composite function h(c) = g(f(c)) is...

Spinning at their respective maximum velocities, approximately how much more energy will an ideal composite flywheel (magnetically levitated in a vaccum) be able to store than an ideal ball bearing steel alloy flywheel of the same size and shape? Thanks.

I just need a nudge in the rigth direction ais don't know where to start Let y = f(x^2 + 3x - 5) find dy/dx when x = 1, given that f'(-1) = 2 Thanks!

question: a composite bar of length L=L1+L2 is made from a bar of material 1 and length L1 attached to a bar of material 2 and length L2. show that the effective coefficient of linear thermal expansion is : alpha= (a1L1+a2L2)/L [- alpha/a=coefficient of linear thermal expansion] i...

Hi, I have to solve this problem: Suppose that f is a continuous, vector-valued function and that T is a linear transformation on R^3. Show that "T o f" (stands for T composite f) is continuous and that INTEGRAL[T o f] = T(INTEGRAL[f])...

I was just wondering if there are any composite numbers in this equation for every number from k = 1 - 100 k * k - 79 * k + 1601 all the numbers that I have come across seem to be prime but I could be wrong so if some one could check my work Please it would be helpful

Prove that if T:R^{m} \rightarrow R^{n} and U:R^{n} \rightarrow R^{p} are linear transformations that are both onto, then UT:R^{n} \rightarrow R^{p} is also onto. Can anyone point me in the right direction? Is there a theorem that I can pull out of the def'n of onto that I can begin this proof?

Could the 7 compactified intradimensions and 4 exploded extradimensions of superstring theory alternately arise from a composite network of zero dimensional points, one dimensional strings, two dimensional branes, three dimensional volumes, four dimensional spaces, and an interrelative time of...

Expanding Composite Functions(urgent help needed) I had to solve an assignment question, we are asked to find the formula for g^-1, except once i plug n do everything, i come up with x=f(g^-1(x)+c), which is x=f(g^-1(x)) + f(c), now i m suppose to put the formula in terms of g^-1=..., but i...

What is the f, when f(f(x)) = 2x^2 - 1, Thanks alot! :confused:

If f:A -> B and g:B -> C are functions, is this true: f o g is also a function and (f o g) ^-1 = gof I think this isn't true, but if this isn't the case, could someone please tell me a counter example?? Thanks

If f:A -> B and g:B -> C are functions, is this true: f o g is also a function and (f o g) ^-1 = gof I think this isn't true, but if this isn't the case, could someone please tell me a counter example?? Thanks

my previous calculus teacher stressed finding the domain of a composite function; he stressed more of finding which areas were not part of the function by means of three circles and saying the function didn't pass to the other circle unless it met the range of the other function. The textbook...

How do you prove that (n^4) +4 is composite for all n>1 ? I found this problem in a book I was reading. The even n part is obvious. The proof for odd n cannot be done by trying to factorize [(2k+1)^4]+4. I know this is true, because I've tried and moreover, the factors of the first few such...

I was wondering if someone here could help me with onto and one-to-one composite functions. I get the meanings of one-to-one and onto, but I'm just finding it hard applying them to composite functions. For instance if A,B and C are sets and f:A-B and g:B-C then if f isn't onto then is gof onto...

In a problem I was asked to find the domain of f of f, which is f(f(x)) where f(x)=(ax+b)/(cx+d) so I get: f((ax+b)/(cx+d)) (a)(ax+b)/(cx+d) (c)(ax+b)/(cx+d) after I multiply it out I get (a^2x+ab+bcx+bd)/(cx+d) (cax+bc+cdx+d^2)/(cx+d) now the "cx+d" cancels and you are...