Combination Definition and 525 Threads

Hi, I found myself trapped in a question on Special Relativity for 15 years now. Because of other new theories (LQG) the question became actual for me again. Maybe some of you can give me anwer on it: Is the combination of the experiments "Michelson and Morley experiment" and "Time Dilation"...

I have trouble understanding the concept of spin (spin 1/2 in this case). In Introduction to Quantum Mechanics Griffiths states that "the generic spinor X can be expressed as a linear combination of [eigenvectors of the spin component Sx] \chi = \frac{a+b}{\sqrt{2}}\chi^{(x)}_+ +...

Homework Statement The vectors v1= [1, -3], v2= [2, -8], v3= [ -3, 7] span R2 but do not form a basis. Find 2 different ways to express [1, 1] as a linear combination of v1, v2, v3. The Attempt at a Solution Since it states that the set is not a basis, then v3=v1+v2. I solved the...

Homework Statement For each matrix, can you write the third column of the matrix as a linear combination of the first two columns? \left[ \begin{array}{cccc} 1 & 2 & 3 \\ 7 & 8 & 9 \\ 4 & 5 & 6 \end{array} \right] Homework Equations x=a(U1)+b(U2) The Attempt at a Solution I...

hi to all can anyone help me to solve this problem ? A small corporation has 7 shares of stock, and each share entitles its owner to one vote at a stockholders meeting. The 7 shares are owned by 3 people as follows: Mr.W:1 share Mr.X:3 shares Mr.Y:3 shares Each of these persons has a...

In a combination of lens experiment we measure U from the mean position b/w two lenses , Why ? If we measure U from the first lens or second lens will there be any difference b/w this case & the above mentioned one ?

Homework Statement A closet has 5 pairs of shoes. The number of ways in which 4 shoes can be chosen from it so that there will be no complete pair are? Homework Equations Permutation and Combination formulae The Attempt at a Solution I tried but couldn't figure it out anyway.

[SOLVED] Linear Combination Method Homework Statement Show, using the linear combination method, that the vectors below are non-coplanar or independent. Be complete d= [2,-1,-2], e=[1,1,1] , and f = [1,-5,8] Homework Equations Ok so I'm assuming, I am supposed to use Cramer's Rule here...

Ok I saw this question in another thread and it wasn't answered but said it had previously been answered I've been searching for a while now and can't find it Captain Kirk, of the Starship Enterprise, has been told by his superiors that only a chemist can be trusted with the combination to...

[SOLVED] Combination of uncertainties/errors when dealing with equations Greetings; I wasn’t sure exactly which section to place this so please move it if necessary. My problem is as follows: I have worked out an impedance for a coaxial cable, using the following formula: Z = (L/C)^1/2...

Homework Statement There're 8 people in the room and each person shakes hand with the other . Homework Equations How many hand shakes are there ? The Attempt at a Solution One person will shake hand with 7 other people and so on . As a result there should be 8 power of 7 but the...

Alrighty, I have 2 simple questions about Laser Beam Combination. I was wondering if I could take multiple Laser Diodes and direct them all at the same point and have the combined energy of the lasers at that single point. Would phase cancellation be an issue? If that doesn't work, I was...

There are 6 white and 5 black ball. How many ways to choose 2 balls from it? My Answer: 3 ways, which is (1)two white ball (2)One white and One Black (3)Two Black ball What is the probability that one of the drawn balls is white and the other black? My Answer: C(6,1)*C(5,1)/C(11,2)...

Homework Statement In a space V^{n} , prove that the set of all vectors \left\{|V^{1}_{\bot}> |V^{2}_{\bot}> |V^{3}_{\bot}> ... \right\} orthogonal to any |V> \neq 0 , form a subspace V^{n-1} Homework Equations The Attempt at a Solution I tried to make a linear combination from...

Homework Statement in how many different ways can 7 different books be arranged in a row if a. 3 specified books must be together, b. two specified boks mus occupy both ends Homework Equations i don't udnerstand wether it is a permutation or a combination. The Attempt at a...

How do I work out password combination probabilities? For example, I'm looking for a password between 10-15 characters in length, the password can contain any alpha-numeric character (lower/upper alphabet character and 0-9 digits). How would I find out how many possible combinations there are?

[SOLVED] Help on Permuntation and Combination Question Homework Statement After a show ,they decided to divide into two groups of size four and five, to go for a supper in 2 taxis. In how many ways could this be done if george and sally were to be in the same taxi Homework Equations nCn...

Here is the problem: You have a sandwich shop. You can choose one of 6 different breads, 1 of four different cheeses, one of four different meats, and you can choose up to 12 garnishes, out of 0 to 12 garnishes. Here is my solution so far. In part A I calculated the amount of...

Homework Statement We want to put 4 Maroon, 3 Green, and 2 Yellow plates in a row on a table. They are arranged randomly. What is the probability that the 4 Maroon plates are together? Homework Equations The Attempt at a Solution I couldn't figure out how to set this problem up properly...

Homework Statement There are 10 different coloured gems will be given to 6 students according to their marks. The marks of the students are 60%,12%,12%,12%,12%,12%. The number of gems obtained is according to their marks. How many ways can it distribute the gems? 2. The attempt at a...

A beginning bowler throws a bowling ball of mass M and radius R=11 cm down the lane with initial speed v0=8.5 m/sec.The ball is thrown in such a way that it skids for a certain distance before it starts to roll.It is not rotating at all when it first hits the lane,its motion being pure...

How is it possible to have a pion that is made up of a linear combination of quarks? I mean, what are the physical constituents of the neutral pion? is it uubar or ddbar? Or does the linear combination mean that there is a 50 50 chance of a neutral pion being a made of uubar and ddbar?

Hi all I am just new to matlab. This question may seem very easy to most of you. But I can not find it. What is the function of combination of k from set of n: C(n,k) in mlab?. It is available in excel as COMBIN(n,k), so I think there should be one in matlab. Thanks

Homework Statement A combination of two thin convex lenses of equal focal lengths,is kept separated along the optic axes by a distance of 20 cm between them.The combination behaves as a lens system of infinite focal length.If an object is kept at 10 cm from the first lens,its image...

Question Statement 4 boxes each contain a large number of identical balls, those in 1 box are red, those in the 2nd box are blue, those in the 3rd box are yellow and those in the remaining box are green. In how many ways can a set of five balls be chosen? (without restriction) My thoughts...

here is the new diagram of combination...The voltage is 120 and its asking me to find total voltage, resistance, power and current. The resistance is given, its all 3 its asking for voltage, power and current for each bulb///please help me...thanks a looot and the picture for this problem is...

The voltage is 120 and its asking me to find total voltage, resistance, power and current. The resistance is given, its all 3 its asking for voltage, power and current for each bulb///please help me...thanks a looot and the picture for this problem is down please click com.jpg...thanks a loot

How would you express one function as Linear combination of other? For example the following sets {1,x+2,3x-5} {e^x,e^(2x),xe^x,(7x-2)e^x} How would i go about solving this? Should I start with equating one function to the other two in first example? like x+2=1+(3x-5) ? Thanks

Homework Statement Obtain the general solution of 2xydy - 6y^2dy + 8xdx + y^2dx = 0 2. The attempt at a solution 2xydy - 6y^2dy + 8xdx + y^2dx = 0 2xydy + y^2dx = 6y^2dy - 8xdx \intd(xy^2) = \int6y^2dy - 8xdx xy^2 = \frac{6y^3}{3} - \frac{8x^2}{2}+C xy^2 = 2y^3 - 4x^2+C...

I have a fully solved combination question that I can't seem to follow. "How many words of length 4 can be formed if the letters in the word must be in increasing alphabetical order? Note: {A,A,D,E} is but {A,D,A,E} is not" The solution is as follows (C denotes choose) (26 C 1) + (26...

Question: Each capacitor in the combination shown in Figure P26.49 has a breakdown voltage of 15.0 V. What is the breakdown voltage of the combination? http://img244.imageshack.us/img244/6705/serway5thp2649ue8.th.jpg Work Done: I figured that the voltage on the two parallel capacitors on...

i recently had my A levels exam and was stuck at a question there are 8 balls in a box, 3 are similar and the rest are different, how many ways can 3 balls be chosen if the order of picking out the balls is not important its worth 4 marks, and i do not know where to start even.:frown:

I don't understand how to calculate force constants of a combination of springs. for example 2 spings parallel with the mass on one end lying on a table. or 2 springs attached with mass at one end lying on a table. i know that force constant = sum of forces/ extension but just...

i am a bit confused what does it mean when somebody says "all combinations of (1, 2, 3, 0) and (2, 3, 4, 0)"??

I need help differentiating y=\sqrt{x-2}\sqrt{x+1} I am using a mix of the chain rule and product rule which my textbook for school wants me to use for this. So suggestions for different ways of approaching it won't help :P Anyways, thanks in advance for looking over it. It's my first...

HI , I don't know where to post my question. sorry if it is not in the correct forum. I am working on a program and one of the instruction say this: (Prior we have to know that a,b,c are the sides of a triangle) "Note that not all combination of a,b,c produce a triangle. Your function...

Source: AMD.com

The circuit in question is this: http://www.atnetzwerk.de/temp/wasserkocher2.gif There are two heating elements with a resistance R_0 = 20 Ohm. I have to find R so that the total power output of the heating elements stays the same no matter if I only use one heating element or both. I...

How on Earth do you do this? What percent by weight of Na2S2O3 is Sodium (Na)? (Na, 23; S, 32; 0, 16) Okay that looks confusing but. The "Na2S2O3" isn't suppose to be spelled like that. It's Na (then a 2 that is haflway beneath the number) And then you repeat with S (lower 2), O and lower...

Hello! There's a combination exercise that has been bewildering me for some time now: how many divisors does the number 378 have? I know it can be done like this: 378=2x3x3x3x7. Divisors are as follows: 1,2,3,6,7,9,12,14,18,21,42,54,63,126,189,378. 16 all together. But, in essence, it...

I need to answer the following question: A simple energy level system has two energy levels. These are the energy levels matching the spin of a proton in a magnetic field. This is important for NMR. In that case the energy difference depends on the used magnetic field, but for a typical NMR...

Say i needed to calculate the different number of combinations there are if you have 10 items and can pick up to 3 of them. e.g you buy a sandwhich and have Ketchup, Mustard, Relish, Lettuce, Pickles, Sour Cream, Cream Cheese, Olives as available toppings but you can only choose up to three. how...

1-How could an RL combination be connected to produce an output voltage which is the time derivative of the input voltage? 2-Show that taking the time derivative of a sinusoidal function [such as cos(wt+a)] always has the effecton increasing its phase pi/2. 3-İf the internal series...

Hi,I'm reading the proof of Rodriguez recurrence formula P_l(x) = \frac{1}{2^l l!} \frac{d^l}{dx^l} (x^2-1)^l This formula itself isn't a problem. But during the proof I got (1-2xt+t^2)^{-\frac{1}{2}} = \sum_n \left( \begin{array}{c} -\frac{1}{2} \\ n \end{array} \right)...

Hey everyone I have this for Discrete homework: A lock has the numbers from 0 to 59 ...A combo is made up of 3 numbers...How many combos are possible if the 2nd and 3rd numbers have to differ by at least 3 The answer is whatever 60 times 58 times 57 is I know why the 60 is...

I got this problem, don't know how to solve. Of 10 variety of roses, 3 are pink, 5 are red and 2 are yellow. Calculate the number of ways in which we can select 6 roses, so that in the selection, at least one rose of each color is included. ?

Hi there! I know how the wavefunctions look like for infinite potential wells and finite potential wells, with the barrier is placed at zero, so I got curious and drew the following well: As you can see I split it into three different parts, because the Schrodinger equation has...

How would I express cos(wt+1) as a linear combination of cos(wt) and sin(wt)?

Im not too sure on where to start on this proof. Any hints would be very helpful. If X0 and X1 are solutions to the homogeneous system of equations AX=0, show that sX0 + tX1 is also a solution for any scalars s and t (called a linear combination of X0 and X1)

Hi. I've got problem with this task. We have 5 digit. How many 7-digit numbers can we create that has at least 2 different digit? Jurij