Equivalent Definition and 1000 Threads

Can some one explain why not all norms are equivalent in and infinite vector space? Examples/Counter examples? How would you go about proving/disproving this? Any or all of the above or just any help anyone has to offer would be great Thanks

please could you tell me that ,In dc equivalent circuit the resistors are replaced by cell.why is it so?though the resistor gives voltage drop where cell provides a emf then how does these are equivalent? thanks.

Homework Statement 6...y ∫...∫ x dx dy 0 ...0 The Attempt at a Solution for reference: π=pi 6...y ∫...∫ x dx dy 0 ...0 y=6=x=6. rcosΘ=6 r=6/cosΘ goes to π/2 6secΘ ∫ ...∫... r cosΘ r dr dΘ π/4...0 π/2.....r=6secΘ ∫ ... [((r^3)/3)cosΘ] dΘ π/4......r=0 π/2...

Homework Statement I'm just trying to find the equivalent resistance of this: http://sogacity.com/images/circuit.png Homework Equations Resistors in series add and resistors in parallel inversely add. The Attempt at a Solution I'm not even sure how to approach this. I guess I...

Homework Statement The question is to find the Thevenin equivalent of the network across the terminals a,b. The circuit is as follows:-- The solution is Zth = 12.166 angle(136.3*)ohm and Vth = 7.35 angle(72.9*) I can find out the Vth, that's easy. But I can get the Zth right coz there...

Hey guys! This problem has been perplexing me for ages, and everything I do to try to solve it doesn't seem to work. So I was wondering if you guys could help point me in the right direction. Anyway: Homework Statement The figure below shows six concentric conducting spheres, a, b, c, d, e...

[b]1. How many mSv/h of x-radiation is equivalent to a dose rate of 20mR/h? [b]2. The relationship between the sievert and the Rem is i believe isievert = 100 Rem [b]3. answer i think 2000mSv/h

Homework Statement uploaded image a) What is the equivalent resistance through circuit? (Answer is 1.638 ohms) B) what is the current through the 5ohm resistor? (Answer is 1.911 amps downward) The main part I am confuse about in part A) is what is in parallel and what part is in series...

We are doing a lab now to prove the connection between heat and work. the experiment consists of a a cylinder that is rapped with a nylon string which in turn suspends a bucket of mass m. by turning the cylinder we create a frictional force that creates heat ( the heat is then measured) my...

Homework Statement This is in norwegian but hopefully you can understand it. Here is the assignment and circuit: http://img835.imageshack.us/img835/3619/krets.jpg Find the equivalent Thevenin circuit when when RL is the load Homework Equations The Attempt at a Solution I really don't know...

Homework Statement Find the equivalent resistance between terminals A and B for this circuit: http://img716.imageshack.us/img716/1121/1035p.png [PLAIN]http://img716.imageshack.us/img716/1121/1035p.png Homework Equations I know how to add resistances in parralell and series...

I can not seem to figure out why Arctanh x [ Hyperbolic Arctan ] can be expressed as Arctanh x = (1/2) [ Log (1+x) - Log (1-x) ] Note; I know the 1/2 means the expression is a square root of the ratio of the 2 binomials and has been taken out with the Power Rule Can anyone show me the...

due to e=mc2 would massless photons and an equivalent number of mass-energy atoms have the same effects on gravity? Does mass play any special role in gravity or only energy?

find R equivalent of the circuit i tried the following but not sure R1 R3 parallel R2 R4 parallel then both results above as series and at last the result from above as parallel with R5 please correct me if i am wrong

Homework Statement please consider the relation over the set of integers Z , given by m=n mod (p) where p is a positive integer . Prove that it is an equivalent relation. find the elements in the equivalent class of m. find the no of such equivalent classes. Homework Equations...

Homework Statement ** note that the circuit resembles a 3-d square (the wires aren't "crossing over" each other In the problem, all circuits have resistance R If it helps, assume current i flows into a, and leaves through b and c We are asked to find the equivalent resistance...

Given that alpha is an upper bound of a given set S of real numbers, prove that the following two conditions are equivalent: a) We have alpha=sup(S) b) We have alpha belongs to S closure I'm trying to prove this using two steps. Step one being: assume a is true, then prove b is true...

Homework Statement This was a timed assignment that I never got an answer on, nor was I given the correct answer once the assignment was finished. I understood Thevenin/Norton (or so I thought) until I got a Volt source that was PARALLEL to the first resistor and everything fell apart. The...

Homework Statement Homework Equations The Attempt at a Solution Hey everyone, just having a problem in getting an equivalent circuit. I know how to do the problem, I am just confused on how to get a equivalent impedance: I was doing (1 + j2) + (ZL) but I am not sure if...

Homework Statement Hi, i was working on finding the equivalent capacitance, but I'm not sure if I'm doing it right This is the figure : http://i8.photobucket.com/albums/a8/ryu0919/physicsproblem2.jpg? Homework Equations Find the equivalent capacitance? The Attempt at a Solution...

Homework Statement An automobile battery when connected to a car radio provides 12.5 V to the radio. When connected to the headlights, it provides 11.7 V. Assume the radio is modeled as 6.25 ohm resistor and the headlights are .65 ohms. Find the Thevenin Equivalent for the battery...

hey can anybody please tell me how to solve this circuit?? :confused: I tried this sum out but I can't understand which points are symmetrical and have same potential..or how the current is distributed

Homework Statement What is the equivalent capacitance of the four capacitors in the figure below? Take C1 = 2.6 µF, C2 = 4.1 µF, C3 = 3.9 µF, and C4 = 1.1 µF. Homework Equations Cequiv of capacitor in series = (1/C1)+(1/C2)+(1/C3)+(1/C4) Then take the reciprocal of the answer. The...

Homework Statement http://yfrog.com/mrcapdg http://img819.imageshack.us/img819/1172/capd.th.gif Find equivalent capacitance answer is 4C/3 Homework Equations whatever is in parenthesis is subscript formula1: series: 1/C(eq)= 1/C(1) + 1/C(2) + 1/C(3) + ... formula2: parallel...

Homework Statement Find the norton equivalent with respect to terminals a and b [PLAIN]http://img821.imageshack.us/img821/7177/nortonequivalent.jpg Homework Equations KVL, KCLThe Attempt at a Solution I set i1 = .008 A Then I found the rest of the currents. KVL@ loop i2: 2000(i2-i1)+30=0 i2...

what is meant by dc equivalent circuit and dc load line analysis? why we require these two ? advanced thanks.

Homework Statement one gallon of octane is equivalent to 23.4 mol of octane. the density of it is .703g/mL. Homework Equations to travel the same distance traveled with one gallon of octane, how many moles of ethanol would you need?( assuming the car works just as well with ethanol as...

Is it renormalization running? Or SU(N) Gauge transformation?

Homework Statement 10.00 g of tin (Sn) is heated in air 12.69 g of the oxide is produced. Calculate the equivalent weight of the tin. Homework Equations Sn = 118.71 The Attempt at a Solution Would you divide the mass of tin by 2 to get the equivalent weight of the tin?

Homework Statement I have this circuit (attached) and I am required to give the thevenin equivalent circuit...since its a current source, the first 300ohm resistor is ignored, right? but then is the 100 ohm and 25 ohm resistor afterwards taken to be in series of parallel, i took series...

Is it true that two metrics d_1 and d_2 on a set X are equivalent iff they have the same convergent sequences (i.e., a sequence that converges in d_1 converges in d_2 and vice versa)?

Tutor needed: Is there an odesk / elance equivalent for tutoring math/phy? Hi all, Im in my 3rd year at university studying physics and mathematics. However, I am now taking a year off from university to do self studying. My goal is to gain a deeper understanding of the subjects, as well as...

Hello I have a question to ask you. Your help will be highly appreciated. Kindly refer to a scenario where a substrate material ‘B’ is coated both side with a coating material ‘A’. The whole thing is then connected to a voltage source. Here B is poorly conductive and A is highly conductive...

Homework Statement http://farm5.static.flickr.com/4117/4775531139_8d4dd954f5_b.jpg Homework Equations I = V/R E = I1R2 = I2R2 =I3R3 The Attempt at a Solution I got 5.22 ohms for part (a), but I'm not sure how to go about calculating the amps through a specific resistor.

Homework Statement Given two matrices, A and B. Is the following statement true? A is similar to B \Longleftrightarrow A^k is similar to B^k. Homework Equations By definition, A and B are similar if there exists an invertible matrix P such that B = P-1AP. The Attempt at a...

Does anyone know how to determine whether two ellipses intersect? I don't need the precise points but rather only the answer whether there are points. All my attempts led to 4th order polynomials, which are heavy to solve, but considering that I don't need the actual points I assume there must...

Yet another proof I'd like to check. Statement. Let X be a finite set. One has to show that every two metric functions d1, d2 on X are uniformly equivalent. Proof. If X is finite, then X = {x1, ..., xn}. We have to find constants A and B such that for every x, y in X, we have d1(x, y) <= A...

Well, again I'm a bit stuck. I have to prove that the metrics d1, dp (where p is from <1, ∞>) and d∞ in R^n are uniformly equivalent. The metrics are given with: d1(a, b) = ∑|ai - bi| dp(a, b) = (∑|ai - bi|^p)^(1/p) d∞(a, b) = max{|ai - bi|, i = 1, ... ,n} (of course, the sums are...

Homework Statement A solid circular shaft has a diameter of 200mm. What would be the dimension of a hollow shaft which could replace it (i.e. transmit the same torque for the same maximum shear stress), and what would be the percentage reduction in the material required? The internal and...

Homework Statement This should be quite simple for most of you although I can't understand it. Circuit is attached below Homework Equations The Attempt at a Solution The answer is 20ohms, although I would have done R1+R3 + R4//R5 which would get 25ohms. The previous question was to find Rab...

This is a matter of some curiosity to me. Deliquescence was often mentioned in chemistry, and I've seen at work, but is this phenomina limited to a few special cases, such as water? Are the intermolecular forces between any organic compounds sufficeint to essentially "drown" the solute in...

http://img695.imageshack.us/img695/2420/physicsm.jpg i need to find thevenen equivalent circuit using R5 as load Ε1=20V, Ε2=10V, R1=6Ω, R2=12Ω, R3= 25Ω, R4=20Ω, R5=10Ω, R6=5Ω, Ι=0,2Α. Vth = -5V but how much is Rth? i can see that R4 is in series with (R2+R1)||R3 and R6 is...

Homework Statement See Figure Homework Equations The Attempt at a Solution See figure. Did I do this right? I just want to make sure I'm understanding things correctly.

Homework Statement See figure Homework Equations Rs = R1 + R2 Rp = (R1*R2)/(R1+R2) The Attempt at a Solution I tried completing one repitition of the pattern to see if I could figure out what the Req would be so: R + R in series on the end so 2R // R so 2/3R in series with R...

Hello, two distances d_1 and d_2 are said to be equivalent if for any two pairs (a,b) and (c,d) d_1(a,b)=d_1(c,d) \Leftrightarrow d_2(a,b)=d_2(c,d) How can I (dis)prove that: d_1(a,b)<d_1(c,d) \Rightarrow d_2(a,b)<d_2(c,d)

Hello all, first time I post here. I'm doing a PhD in Plasma Physics at the moment and have always been using MATLAB. It seems the research industry however does not look kindly on MATLAB and develops solely on FORTRAN (!).. Anyway, I don't need to go into a lot of detail. I have a big 10x10...

I have 2 points are : 3,5,10 and -1,2,0. How to find equivalent for its line?

The Pauli equation (seen here) contains its spin dependence in the term which reads \frac{1}{2m}\left[ \sigma\cdot\left(p-\frac{e}{c}A\right)\right]^2 So let B be any vector. Then \left( \sigma\cdot B\right)^2 =\left(\sigma_1 B_1 +\sigma_2 B_2 + \sigma_3 B_3\right)\left(\sigma_1 B_1...

Hello, I have the following circuit: [PLAIN]http://img15.imageshack.us/img15/6981/nortonm.png I need to determine the Norton equivalent for this circuit. I wonder whether the easiest way to solve this is by zeroing the independent source, connecting a test voltage source and calculate the...

Hiya, I am looking for the proof for cauchy real and dedekind real are equal (isomorphic). I know they are not equal (CR \= DR) but I need to prove them point to the same real number or mapping from CR -> DR, DR -> CR. I have looked at the textbooks on number system, real analysis and calculus...