Example Definition and 879 Threads

example of h: R-->R^2 such that h is onto Hello everyone, can anyone suggest an example of a function h: R --> R^2 such that h is onto. All I could come up with is the following: h: R --> R^2 ==> f(x) = y1 g(x) = y2 ==> for h to be onto I need to find a function that gives me the...

Homework Statement Give examples to show Path components need not be open or closed. I assume it means give one that is not open and one that is not closed. So one a path component that is open (to satisfy not closed) and one that is closed (to satisfies not open). Or is the question asking...

In this example, which I found via Wikipedia on Delayed Choice, http://www.bottomlayer.com/bottom/basic_delayed_choice.htm" it makes the "observer" special, i.e. it's the observer who "chooses" whether the photon goes through one slit or the other, or through both as a wave, or more...

I know there are many examples of rings like R[x], N, Q, where the elements can be fundalmentally different like polynomials and numbers. But are there different type of modules like there are rings? Or are modules just any vector? And the modules are different when you consider which R...

If I have a variable q, and think of it as an operator, and want to postulate another operator p so that it satisfies a commutation relation [q,p]=i\hbar, a definition p=-i\hbar\partial_q will do this. If I instead wanted an anticommutation relation \{q,p\}=i\hbar, what would be an example of...

Homework Statement A textbook shows an example of work. Either my understanding of Work and how to calculate it is wrong, or the text is wrong, I am going nutty here and not sure which is wrong, I think it is the text but, then again, I am biased. The example goes as follows: (between the...

Homework Statement An example in my notes. To solve for green function of a differential equation. eg x^2(y'') - 2x(y') + 2y = x^3ln(x) The first thing is to solve the kernel by solving Ly = 0 and it says the form of L suggests trying y = x^m How to I obtain the suggested form of L?

Using the well-known rule for multiplying numbers raised to powers: u^{\frac{a}{b}}v^\frac{c}{d}} = (uv)^{\frac{a+c}{b+d}}, 3^{2/3}9^{7/6} = (3*9)^{\frac{2+7}{3+6}} = 27 If you can think of a better way I'd sure like to see it! :biggrin:

Hi, I am curious to kow about this smoothing concept that I've seen mentioned somewhere but do not understand. It would be great if someone could explain it to me, preferably through a solution to this problem. Thanks for any comments. (Latex did not generate in the preview, so if it seems there...

Hi, just a home work question I am having problems with. it has to be solved graphically. (1) Give an example of a continuous function f : [a,b] -> R that has no local maximum or local minimum at an endpoint

The Intrinsity caches are 16 KB caches and have 256 blocks with 16 words per block. Thus data is 64 bytes = 512 bytes. The tag field is 18 bits (32 - (8 + 6)). Total bits = 256 x (Data + Tag + Valid) = 256 x (512 bits + 18 bits + 1 bit) = 135,936 bitsI'm confused on how they got 64 bytes...

i have a question... according to time dilation...as an object travels close to the speed of light, relative to antoher observer, the time goes slower in the moving object and it will appear to be "younger' if it was a person on the space travel... however, relative to the person on the...

Hi all. This is not strictly a question on differential equation but I think the topic asymptotic expansion is too closely related to D.E. and I think those experts in D.E. would help with my simple question here. Please refer to the attached figure. I would like to know how one could come...

Hi all. I recently read an article by a MIT prof. about RLC etc ckts in which he has given a spark plug example. I think the analysis given by him is faulty. The link to the document is here: http://ocw.mit.edu/NR/rdonlyres/3EBFD5FD-DCF5-422A-A7E3-E1312C74153D/0/trns1_rc_lc_rlc1.pdf I...

Homework Statement Give an example of an ohmic and non-ohmic device. Homework Equations N/A The Attempt at a Solution Resistors - Ohmic device Light Emitted Diode (LED) - Non-Ohmic device I just need confirmation at the moment. I am trying to answer some questions and this...

Homework Statement Give an example of a linear transformation whose kernel is the line spanned by: -1 1 2 in lR³ Homework Equations The Attempt at a Solution Would: 1..(-1)...0 0...0...0 0..(-2)...1 be a solution?

i need help on figuring out how to combine the compounds and make them an ester, in other words i need help with esters,

Need To Example Questions Of "laplace's equation in Boundary-value Problem"in 3DSpace Please Help Me : Need To Example Questions Of "laplace's equation in Boundary-value Problem"in 3D Space. Can Anyone Give Me a File That Contains This Type Of Questions? I Need At least 20 Examples...

I need to give examples of an instance in which temperature remains constant when heat flows in and out of a system, isothermal by definition. I know the textbook example (slowly heating an ideal gas in a cylinder with a piston on one end, volume increases as pressure decreases, etc.), but are...

Give an example of a set X with two topologies T and S such that the identity function from (X,T) to (X,S) is continuous but not homeomorphic. I always struggle with these because I get overwhelmed by the generality that it has. Any ideas would be very much appreciated.

was wondering which formula I would use to solve this equation... a car traveling in a straight line has a velocity of +5.0m/s at some instant. After 4.0seconds, it velocity is +8.0m/s. What is it average acceleration in this time interval?

Hello everyone, I'm trying to understand this example in the book: It says: Suppose 2 members of the group of 12 insist on working as a pair--any team must cointain either both, or neither. How many five-person teams can be formed? Solution: Call the 2 memebers of the group that...

Can someone help me to prove the law of conservation of momentum using an example?

(a) Give an example in which the net force acting on an object is zero and yet the net torque is nonzero. (b) Give an example in which the net torque acting on an object is zero and yet the net force is nonzero. can b be torque= Tension(12 N)(radius 0m) ?

I don't remember any rules on how to calculate limits approaching infinity. for example, can someone please explain the following limit to me (-1/2) lim (t->infinity) 1/(t^2 + 2) + 1/4 = 0 + 1/4 = 1/4 Thanks!

I'm trying to understand the Hahn Banach theorem, that every bounded linear functional f on some subspace M of a normed linear space X can be extended to a linear functional F on all of X with the same norm, and which agrees with f on M. But the proof is non-constructive, using zorn's lemma...

This is a question on a recent assignment that I can't figure out. I think if I understood the first part, I could get the rest. Let {a_n} be a convergent sequence with limit L. Prove or provide counter examples for each of the following situations. Suppose that there exists a number N...

I'm having trouble following an example in the book. I don't understand a few steps which I have marked in bold. Any help would be awesome! Thanks. Q: In vacuum-tube diodes, electrons are emitted from a hot cathode at zero potential and collected by an anode maintained at a potential V_0 ...

Where can I find a good course (maybe in pdf) that give me a lot of example of mechanical structure? Statical, dynamical? Thanks.

HEllo everyone. I'm trying to find a counter example that will prove this false. But it may be true but I'm hoping it isn't :) For all integers a and b, if a|10b then a|10 or a|b. I said false, a = 3, b = 5. 3 is not divisible by 50. 3 is also not divisble by 10 nor 3 divisible by 5...

Hello everyone. I'm wondering if I'm allowed to use a counter example to disprove this. I'm not sure if I'm understanding the statement correctly though. THe directions are: Determine whether the statement is true or false. Justify your answer with a rpoof or a counterexample. Here is...

can somnbody pls give me a simple example to show halting problem pls thanx

i want to understand finite element method by solving the simple differential equation of falling mass d2y/dx2=force/mass eventhough this equation contains derivative of only one variable i want to understand fem using this Or some one can give a somemore difficult pde and solve using...

A racing track has a corner which is banked at an angle of 30 degrees cars passing round the corner travel in an acr of a circle of radius 20 metres. car is traveling at 30 m/s and using g as 10 instead of 9.81 I need to find the smallest value of the coeffiecent of friction needed to...

a tennis ball is hit from a height h above the ground with a speed V and at an angle alpha to the horizontal. it hits a wall at a horizontal distance d away . Air resistance is negligible can anyone find expressions for the height and velocity of the bal when it his the wall for me to...

Everytime i get a new desk, it's because my old one didn't have enough space. After a while, the new desk ends up not having enough spaces and i go even bigger. Soon i'll have a desk 30 feet long and will still find a way to use up all that space. Sheesh! Oh and even though it deserves its own...

I am trying to understand the PBS NOVA ‘The Ghost Particle’ shown Tuesday 28 February 2006. http://www.pbs.org/wgbh/nova/neutrino/ Question 1 - When neutrinos pass through the Earth interacting in a statistically predictable manner, is this an example of quantum tunneling conforming to a...

i found smtg that i don't understand.moment of inertia = 1/3 m(r^2) stands for which type pf rod??or reference point??

i really need help with this- i partially understand it, but I'm not sure exactly how to do this problem. a 44 g bullet strikes and becomes embedded in a 1.54 kg block fo wood placed on a horizontal surface just in front of the gun. if the coefficient of friction between the block and surface...

Hello! I am looking for find a formula based on the generic example I will describe below. This is not for any school project and I am not a mathematician by any means. I will do my best to explain the scenario in hopes that someone can help me with a formula that fits the situation. Here...

I feel so silly for not being able to work this out... The situation is this - two cars going towards each other. Both cars' mass = 1Kg. The speed of car 1, say, is 5m/s. The speed of car 2, say, is 3 m/s. THE IMPORTANT THING TO NOTE IS THAT BOTH CARS ARE TRAVELLING AT CONSTANT SPEED! What I'm...

is the legendre equation an example of a frobenius equation?

Can someone give me an example of a function that is continuous everywhere yet differentiable nowhere?

I scanned the page out of the book, alittle bit is kinda burly but I'm confused on how they got A_2(B), where we are thinking of the system in matrix form AX = B. One verfies that detA = -127 and det[A_2(B)] = 313, so x2 = det[A_2(B)]/det(A) = 313/-127 = -313/127; How did they get B? and...

Hey having a bit of trouble with this question, not sure what to do! QUESTION - express the fraction in the form a + b rootc / d 3 + root24 / 2 + root6 ------------------------------------------ (3 + root24 / 2 + root 6) x (2 - root 6 / 2 - root 6) Simplifying gives (6 -...

Hello everyone, I think i don't understand the inverses because i don't understand how u find the adjoint of a nxn matrix. The book has this example and i have no idea how they got from A to A adj, makes no sense to me! Here is the picture...

In section 13.4 of Stewart's Calculus: Early Transcendentals, an example problem is worked out. I always seem to have problems grasping the physics stuff. In the example below I'll point out the spot where I can no longer follow. (LaTeX codes don't seem to be working for me at the moment...

A question: If I want to find all divisors of for example 29601 and in general all divisors of any (large) number, do I have to do it "on foot" i.e. with help of the division rules or checking each number looking if it divides the given number?...As far as I know there is no unified algorithm...

For velocity unit, is it, for example, 30 m/s^2?

How can I use trig identities to let me differentiate \sin \left ( x + \frac{\pi}{2} \right) and 3 \sin x - 2 \cos x?