Addition Definition and 641 Threads

if object A is moving with gamma=x in one direction and object B is moving with gamma=y in the opposite direction then what is the gamma factor for object A as it would be calculated by object B? I know the velocity addition rule for relativity but I can't find anything on the net about...

Heres the question: Let {u,v,w} be a linearly independent set of vectors of R^4. Let E = span{u,2v} and F=span{w,v}. Find EnF and E + F. i really have no idea other than i guess if 1/2u=w and v=v, then the EnF can be defined by that, but I'm not sure if that is right! :(

Help me Understand "Closed Under Addition" and "Closed Under Multiplication" Linear Algebra...matrices...etc Examples would be great. Thanks.

In special relativity, the velocity-addition for colinear velocities u and v is given by (u+v)/(1+uv/c^2), but for non-colinear velocities the formula is more complicated and is not symmetric in u and v. But since the reciprocal velocity of v is -v then the reciprocal of (u+v) should be -(u+v)...

How does it become valid to add a dB with dBm? I found in a book that the author did like the following: 60dBm - 155 dB = - 95 dBm Isn't it necessary to convert 155 dB into dBm or vice versa and then doing the algebra? The book is wireless communication by Theodre Rappaport.

Homework Statement I have to hex numbers, x1100 and x3301, that I want to add. I tried to convert them to binary and and them, then convert back to hex-wrong. Tried a straight 1100+3301 addition with the answer being hex, and even used my ti-89 to add them, it can do conversions so why not...

In probability, the rule of addition is: P( A \cup B) = P(A) + P(B) - P(A \cap B) This can be written as P( A \cup B) = P(A) + P(B) - P(A)P(B) However, I've seen that using both formulas for the same problem gives different answers in some problems. Does anyone know why? Is there a...

I'm attempting to self study mathematics. Will be starting college next year and recently got a good score on the SAT Math 2 (~700). I bought "Geometry Revisited" by Coxeter and Greitzer, hoping to gain a bit more knowledge of Geometry. I got stuck on the first question! Until now, all the...

Homework Statement Determine whether or not W is a subset of R4 W is the set of all vectors in R4 such that x1x2=x3x4 Homework Equations Two methods. u+v (addition) cu (multiplication) The Attempt at a Solution I having trouble getting the hang of subspaces. I thought I was getting close...

Since the "tensors" of relativity are defined with respect to the tangent spaces of a pseudo-Riemannian manifold, which include velocity vectors (i.e. timelike tangent vectors), this might be taken to suggest (carpet-from-under-feet-ingly) that none of the objects called tensors in relativity...

Homework Statement Show that the addition of velocities implies the following: - If | \vec V | < c in one inertial frame, then | \vec V | < c in any inertial frame - If | \vec V | > c in one inertial frame, then | \vec V | > c in any inertial frameHomework Equations V^{x'}=\frac{V^x...

Homework Statement Graphically determine the resultant of the following three vector displacements: (1) 34m, 25 degrees north of east;(2) 48m, 33 degrees east of north; and (3) 22m, 56 degrees west of south. Homework Equations Vr=V1+V2+V3 x=mag x cos of angle y=mag x sin of angle...

Homework Statement A vector of magnitude 20 is added to a vector of magnitude 25. The magnitude of this sum might be: a. zero b. 3 c. 12 d. 47 e. 50 Homework Equations c ^2 = a^2 + b^2 The Attempt at a Solution I was not entirely sure on what to do. I tried using the...

Homework Statement so.. let the operation * be defined as x*y = x + y + xy for every x,y ∈ S, where S = {x ∈ R : x ≠ -1}. Now i have proven associativity, existence of an identity and inverses, all without commutativity, but i must show that this is an abelian group, so now i have to show...

Homework Statement Three cables pull on the pipe such that they create a resultant force having magnitude FR. If two of the cables are subjected to known forces, as shown in the figure, determine the direction θ of the third cable so that the magnitude of force F in this cable is a minimum...

Homework Statement [PLAIN]http://img138.imageshack.us/img138/918/79095797.png Find AE resultant forceHomework Equations The Attempt at a Solution I don't know where to start, I can find some of angle, but still I don't get it, Also this question is in my test, I remember the question said AB...

Homework Statement With the diagram and the data answer the question: What is the magnitude of A + B? http://i995.photobucket.com/albums/af79/huybinhs/w.gif DATA: theta1 = 33.7 deg, theta2 = 141.9 deg , A = 3.6cm, B =8.3cm. Homework Equations This is an example of vector...

When adding the resultant of two or more forces i get confused when adding forces that are on 360 and 270 degrees. Like the question is 6 Newtons on 360 degrees, i don't get how they get -6, when cos 360 is 1 can anyone help me??

Homework Statement Palladium(II) forms an intensely colored complex at pH3.5 with arsenazo III at 660 nm. A analyst is trying to analyze the palladium content in a meteorite. First 2.534g of the meteorite was digested in strong mineral acids. The resulting solution was then evaporated into...

Homework Statement Given that cos C = 12/13 where C is a reflex and sin D = 3/5 where D is acute, find the exact value of cos ( C + D ). Homework Equations The Attempt at a Solution I used the Addition Formulae: cos(A+B) = cosAcosB-sinAsinB cos(12/13)cos(2/5) -...

1. If the problem statement, all variables and given/known data The resultant force acting is directed along the positive x-axis, determine the magnitudes of F2 and the resultant force And that F3x=4 and that F3y=3 (its a right angle 3-4-5 triangle) Homework Equations F1=F1x +F1Y F2=F2x +F2Y...

I am designing an addition with a cantilevered balcony and am wondering if it is physically possible. the deck is 24' long with 12' extended past I will be using W12 x 96 (massive) it will be held up with two rows of columns that are 12' apart. my question is if the foundation of the columns are...

If you want to extract more polar compunds out of water, you add NaCl to make the water more polar. But why do the really non polar compounds give a less recovery with the salt addition? (For example Prosulfocarb and Tri-allaat) (Pesticides) The extraction occurs in a glass tube, so the...

Using drudkh's example cited above and using Einstein's velocity addition formula, closure speed between a particle moving to the right at v and light coming from the right and moving left at c would still be c. Why? Let's use v as the velocity of the particle expressed as a fraction of c...

Homework Statement Alright so I have an object being pulled from two sides at an angle like the picture below. I want to figure out a third force that can be added to keep the object in the middle of the two sides. Are the directions of the components I drew correct? (There is an actual...

I can't seem to draw this diagram. A sign weighing 98N is suspended from the middle of a 4m long chain. The ends of the chain are attached to a ceiling at points 3m apart. Okay so i drew a diagram with a horizontal that is 3m and the chain hanging from each side is 2m long and the object is...

The problem is in an Algebra book but the jist of it is about calculus/analysis. If G is the interval (-c,c) and the operation is addition of velocities in Special Relativity, (that is: x \circ y = \frac{x+y}{1+\frac{xy}{c^2}}) then decide whether G is a group. At first I thought it wasn't...

I have a question about the gravitational model used to describe tides: Is it correct to simply add the tide potentials respectively due to Earth and sun as most people do? (see for instance a good example of this approach in Eq 9 of: http://arxiv.org/PS_cache/physics/pdf/0701/0701301v1.pdf)...

Homework Statement A 1.0 kg pendulum bob is suspended from a string 1.0 m long. The pendulum swings until the string makes an angle of 22° with the vertical. At this point, if the pendulum is held with a string fastened to the bob and held horizontally, what would be the tension in the original...

Homework Statement Show that the superposition of three waves with frequencies \omega _c, \omega _c + \omega _m and \omega _c - \omega _ m and same amplitude are equivalent to another wave of frequency \omega _c which is modulated by a sinusoidal wave with frequency \omega _m, i.e. E=E_0 \left...

Ques.)-If A,B,C are three matrices such that A+B = A+C, then prove that B=C. Can i cancel out the A's in LHS and RHS ?

1. Prove that for all boolean algebras if x+y=x+z and x'+y = x'+z then y=z. 2. Homework Equations : x+x' = 1, xx'=0, basically we are allowed to use the usual boolean algebra properties. 3.Attempt: This the second part of a problem, in the first part we had to give and example of...

I apologize if this is a repost, my original post didn't seem to take. If you accelerate a particle to 99% the speed of light and accelerate another particle to 99% the speed of light directly into the path of the first would this not create the observed effect from either particle that the...

Homework Statement Faraway Point starbase launches a probe toward the starships approaching from the same direction. The probe has a velocity relative to the Picard of -0.895c. The Picard approaches starbase Faraway Point with a speed of 0.795c, and the La Forge approaches the starbase with a...

hello, One can wonder what is the relation between the title of this thread and the subject of quantum mechanics, well, i was reading in a book about quantum computation and information and it was talking about computer science in some chapter where it shows a basic understanding of Turing...

Homework Statement Homework Equations Not completely sure, but I believe equation is: Cx = bCs/mVx cx = concentration of sample b= y-intercept cs= concentration of standard m=slope Vx=volume of sample The Attempt at a Solution I plotted the values on a graph with Absorbance...

Homework Statement (35.709 + 5.789)(10^4 + 10^4) =41.498 * 10^4 Homework Equations this is an an example given in my TEAS (standardized skills test) work book/study guide...is it accurate? i don't know why (10^4 + 10^4) = 10^4 after the simplification The Attempt at a Solution

If two sine waves have the same frequency and amplitude but have different phase shift do they still produce a standing wave? Thanks for the help.

This isn't exactly coursework, since I am no longer in school, but I think this may be the most appropriate forum to post in. This link is for a TI/Unitrode app note, "Control Loop Cookbook", which is about control loops for switching converters...

So I just got back from my math class, we were going over exponents. Right before we left he gave us a problem and we turned it in, I was just wondering if I got it right. Simplify: (54-3y)3 * (5y-2)2 I got: 512-9y3 * 5y2-4 5-9y3+y2+8 I applied the powers to the parenthesis, then...

Homework Statement suppose f and g are two differentiable functions with f(0)=0, g(0)=1 and f'(x)=g(x) and g'(x)=-f(x). For a fixed y in R put F(x) = f(x+y) - f(x)f(y) - g(x)f(y) Compute F'(x) and F''(x) Then let E(x) = [F(x)]^2 + [F'(x)]^2 Apply Mean Value Theorem to E and...

Hi everyone, long time lurker, first time poster. Can someone please clear this up for me? Two wires running parallel to each other. I think its just an algebraic addition of the usual B(r)=u_0i/2pir but instead of r, we are using D and d aslso i apologise for my formulae, if someone...

http://hyperphysics.phy-astr.gsu.edu/Hbase/relativ/einvel.html#c1 ok, so I'm looking at this, and i see that where c = speed of light if ship A is moving at .7c to the right ===> <=== and ship B moving .7c to the left and they are both on the same line and about to collide, at...

Homework Statement Nevermind, got it. Two spaceships approach the Earth from opposite directions. According to an observer on the Earth, ship A is moving at a speed of 0.753c and ship B at a speed of 0.851c. What is the speed of ship A as observed from ship B? Of ship B as observed from ship...

Hi everyone, A QM question that I am stuck on: Consider the addition of the spin of 2 electrons, s1=s2=½. Show that there are one ms=1; two ms=0 and one ms=-1 states. Show the 4 spin states are given by: a1a2 b1b2 (1/(sqrt(2)))(a1b2+b1a2) (1/(sqrt(2)))(a1b2-b1a2) I've used a...

1. Vector A has a magnitude of 3 m and makes an angle of 10o with the positive x axis. Vector B also has a magnitude of 10 m and is directed along the negative x axis. Enter your answers in distance then angle(in degrees). Find A + B Find A - B 2. R = sqrroot(Cx^2+Cy^2) Cx = Ax+Bx Cy...

Hi Guys, this is from my grad quantum class. I'm pretty stuck and need some help: Homework Statement Given four spin-1/2 particles, derive an expression for the total spin state |S,m⟩ ≡ |1,0⟩ in terms of the the four bases |+⟩i , |−⟩i ; i = 1,2,3,4 Homework Equations Clebsch Gordon...

A bird can manage 50 KmHr-1 in still air. There is a wind blowing eastward at 30kmhr-1, the bird wishes to travel south. The resultant speed the bird carries in the southerly direction is? For equations i just used vector addition, and pythagorous (A2+B2=C2) The first time i...

1. If the resultant force acting on the bracket is to be 790N directed along the positive x axis, determine the magnitude of F 2. Basically I got the components of the two vectors above and below F summed them up. I got THE RESULTANT X-component: 600cos45+325(5/13)+790cos(theta)...

Homework Statement two alternating currents I1 and I2 flow into a circuit node,the output current I is given by adding I1 and I 2. find I and t, when I1 and I2 are as follows Homework Equations I1=5sin(50t +Pi/3) I2=6cos50t The Attempt at a Solution...