Combination Definition and 538 Threads

Homework Statement Show that the set is linearly dependent by finding a nontrivial linear combination (of vectors in the set) whose sum is the zero vector. Then express one of the vectors in the set as a linear combination of the other vectors in the set.Homework Equations c1(u1,u2,3) +...

The problems says "In the circuit shown in the figure all the resistors are rated at a maximum power of 1.20W" Then it asks "What is the maximum emf that the battery can have without burning up any of the resistors?" Really, The only part I think I'm having trouble with is finding what the...

Combination of cells... Homework Statement Two cells of emf E1=6V and E2= 5V are joined in parallel with same polarity on same side, without any external load. If their internal resistances are r1=2ohm and r2= 3ohm respectively , then which of the following is true? 1. terminal PD across any...

Homework Statement P(4,2)+C(5,3) Homework Equations The Attempt at a Solution I think I'm missing something, P(4,2)= 4P2 and C(5,3)=5C3 ?

Do you think the following vector in R3 are linear combination of v1 = [4 v2= [2 v3 = [-2 2 1 -1 -3] -2]...

I am trying to prepare a telescope with the following lens combination. Can someone suggest if it is any good? :confused: I am intending to notice the planets and the moon in detail. Objective: Plano convex - 50cm focal length Eye-piece: The lens supplier suggested I use a Ramsden's...

Homework Statement Digital Combination Lock: To create a circuit that verifies the input from a hexadecimal as 5-A-7 and then lights up an 'Unlocked' LED. (DONE) Bonus Points for: The obvious limitation of this circuit is that the combination cannot be changed. This limitation can be...

angular momentum and linear momentum is conserved, but what happen when combination angular momentum and linear momentum occurs? for example a ball hits a horizontal paddle wheel on a base(which is free to move in any directions). then what happen to linear momentum of ball and paddle wheel...

Let me phrase the problem in a general way. Given n objects in a set. All the objects can be categorized into k groups such that no two objects from different groups are identical. Objects in the same group are indistinguishable from each other within the group. Number of objects in each...

Homework Statement Three identical resistors are connected in parralel. The equivalent resistance increases by 700 ohm when one resistor is removed and connected in series with the remaining two, which are still in parrallel. Find resistance of each resistor Rt1 + 700ohms = Rt2...

Homework Statement Consider a team of 11 soccer players, all of whom are equally good players and can play any position. (a) Suppose that the team has just finished regulation time for a play-off game and the score is tied with the other team. The coach has to select five players for...

im trying to build a cypher-type push-button non-electrical combination lock. the problem is there are no threads/schematics/drawings/specs/diagrams that actually instruct how the push button mechanics work. is there somewhere i could be looking for a schematic?

Homework Statement \psi=B( sin px/L + sin 2px/L ) Homework Equations lineer combination of two waves n=1 and n=2 states particle in a box wide L The Attempt at a Solution I have no idea how to calculate lineer combination of two waves normalization. How do I get B normalization...

Homework Statement I need some help with this question please. Prove using mathematical induction that Σn, j=2 C(j,2) = C(n+1,3) whenever n is an integer greater than 1. I am not even sure how to get the basis step because it does not makes sense to me to calculate C(j,2), wouldn't that...

Homework Statement A truck tractor pulls two trailers, one behind the other, at a constant speed of 100 km/h. It takes 0.610 s for the big rig to completely pass onto a bridge 390 m long. For what duration of time is all or part of the truck-trailer combination on the bridge? d = 390 m v...

Homework Statement Two 28.0-cm-focal-length converging lenses are placed 16.5 cm apart. An object is placed 36.0 cm in front of one lens. Where will the final image be formed by the second lens? Homework Equations 1/do + 1/di = 1/f The Attempt at a Solution for the first...

Homework Statement http://delphi.zsg-rottenburg.de/gif/1la1_pyramide.gif It says "M is the midpoint of BD and S is the center of triangle ABC. Express vector SM as a linear combination of A, B, and C." The Attempt at a Solution I think I am correct in saying that SM is half the...

Homework Statement Show that the set of vectors is linearly dependent (LD) by expressing one vector as a linear combination (LC) of the others: {(1,2,3), (3,2,1), (5,5,5)} The Attempt at a Solution I would like to do this systematically (without guess and check). So I assumed...

Homework Statement What is the power dissipated in the 34-Ohm resistor? Homework Equations P=RI^2 The Attempt at a Solution I have found the total current in the system as well as the current through the resistor, and keep getting 1.88, which is incorrect. Any suggestions on...

I've been doing some math contest stuff, and I find a lot of questions that's like 3 different variables, with 2 equations. It asks me to find the number of different possible combinations. Here's an example: a+b+c = 110 a+2b+5c = 200 How many different combo of abc are there? (a, b...

I have to find a non-trivial, linear combination of the following functions that vanishes identically. In other words C1f + C2g + C3h = 0 Where C1, C2, and C3 are all constant, and cannot all = 0. f(x)=17 g(x)=2Sin2(x) h(x)=3Cos2(x) I figure C1 = 0, because there's really no constant...

Homework Statement musical notes are defined by the frequency of oscillation. however notes are usually not qualifies in terms of absolute frequency, but the ratio (called interval) of their frequency to that of a reference notes called root. Pythagorus discovered that intervals that please...

I am taking a circuits class. The professor has given us a waveform. I was trying to figure out what it takes to create the waveform. The professor give us a hint that it was a combination of sinusoids. I am at a loss. The wave appears to have a DC offset of -2. The wave appears to have...

Homework Statement Prove that every integer greater than or equal to 12 can be written as a combination of 4m+5n where m and n are non-negative integers. Homework Equations The Attempt at a Solution I know I have to use induction but I don't really know how to go about doing...

How can at least one of these elements (1 0 1 0, 1 0 0 1, 0 1 0 1, 0 1 1 1) be a linear combination of the other? Or can it?

for example if f[x]=Sin[2x]+Sin[3x] then f[x] can not be a Trigonometric function, why? how many ways to prove this?

Homework Statement there are N points on a paper. any three of points are not colinear. you draw lines from each point to all other points.lines can be drawn with three colors; red,yellow or blue. there will be obtained some triangles having colored edges. purpose is not to get a...

Combination Probability... hopefully an easy one :) I'm doing some CS homework dealing with the efficiency of BitTorrent. Specifically, I'm dealing with combinations of clusters.. So, say, you have file with 5 clusters {A,B,C,D,E}, and you want to pick 3 of them, you the have a choice of 10...

Find how many 3 digits odd number that can be obtained from the digit 1,2,3,4,5,6,7 if, 1/ Repetition of digits not allowed 2/ Repetition of digits allowed my work 1/ --- the last i digit i have control 1,3,5,7 so 2 remaining digits = 6 P 2 x 4 (4ways)...

Was thinking a bit about linear combination of primes and my conclusions are bellow. I presume their is some theorem to capture this but I don't know it's name. If p1 p2 are primes and n1 or n2 are positive integers, then there should be unique a minimum n1 n2 pair such that: x=p_1n_1+p_2n_2...

what is the difference of a span of a vector and a linear combination of a vector?

Homework Statement I am having trouble reading this notation \sum (i/k) The sum is from i=0 to n I wasn't sure how to write the combination of i,k on the computer so I just wrote it as i/k. Homework Equations When I say combination I am talking about this formula...

Please i need help i am not that good in probability and permutation. The digits of the number 1,2,2,3,6,7,8 can be read to give many 7-digits numbers. Find how many different 7-digit numbers can be made if 1/ There is no restriction on the order of the digits. 2/ The digits 1,3,7(in any...

Homework Statement Mr. Smith was traveling northbound on Ashland Blvd when his car broadsided Mr. Green’s car, as it traveled east on Lime Rd. When the cars collided, they stuck together and slid. Analysis of the skid marks before the cars collided, indicated that Mr. Green did not apply his...

This is a problem from my A levels Stats2 book. I understood the problem but one of my answers doesn't seem to be correct according to the book so I thought I better be sure! Homework Statement A piece of laminated plywood consists of 3 pieces of wood of type A and 2 pieces of type B. The...

Tossing three dices, how many combination of the sum (from 3 to 18)? I just found a general expression to find out such combination, which is (x + x^2 + x^3 + x^4 + x^5 + x^6)^3 the total combination of given sum for three dices is the coefficient of the corresponding term, for example...

Homework Statement Let V=\mathbb(R)^3. Find all values of k for which the vector u is a linear combination of the vectors given below: v_1=(2,3,5); v_2=(3,7,8); v_3=(1,-6,1) y u=(7,-2,k) \begin{Bmatrix}{ 2\lambda_1+3\lambda_2+\lambda_3=7} \\3\lambda_1+7\lambda_2-6\lambda_3=-2...

Homework Statement I am getting a little confused as to whether to use the number of permutations or the number of combinations as my sample space when it comes to probability problems, or whether it depends on the situation. Let's look at two of the examples from my text to help: Example 1...

Complicated Combination Circuit problem. PLEASE HELP! Homework Statement http://i45.tinypic.com/314te39.jpg I am suppose to create a RIVP chart with that circuit shown above. R1 = 10 ohms R2 = 14 ohms R3 = 9 ohms R4 = 11 ohms R5 = 5 ohms R6 = 9 ohms The voltage of the battery is...

I decided to draw this up when the idea came to me just so I could visualize it. I am no rocket scientist so I thouhgt I would post the concept and get some feedback:

I have to linear equations 3x + 2y =7 and -6x + 6y= 6 when expressed as linear combination in column vector form they become: x[3,-6] + y[2,6] = [7,6] when solving this linear combination graphically ,First vector is plotted like this x=3, y=-6 and second vector is plotted like x=2...

Homework Statement The 2 Kg slider A is held at rest against the spring k=900 compressing the spring by 0.4m. It is released and slides down the 5 m long ramp. Friction is negligible along the track. Slider A then makes an elsastic collision with the 3Kg slider B that is initially at...

I have list of numbers like 3100002 11200002 11200011 12010011 12010020 20110002 20110101 21001020 21001110 30000300 100300020 . . . . I need all possible combinations of specific size depending on some conditions. size of combination can vary from 3 to 25. I am doing it...

Homework Statement Any spinor matrix can be expressed in a set of 16 linearly independent matrices. In the lecture the 16 Γ_J matrices (J=1 to 16) given are I, γ^0,1,2,3, σ^μυ, (γ^μ)(γ_5), iγ_5. I was asked to express M = (σ_μυ)(γ_5), (σ_μυ)(σ^μυ), (γ^α)(σ_μυ)(γ_α) in terms of the 16...

Let x= \begin{array}{cc|l} 1 \\ 1 \\ 7 \ \end{array} write x as a linear combination of u using theorem. u1= \begin{array}{cc|l} 1/{3\sqrt{2}} \\ 1/{3\sqrt{2}} \\ -4/{3\sqrt{2}} \ \end{array} u2= \begin{array}{cc|l} 2/3 \\ 2/3 \\ 1/3 \ \end{array} u3=...

Homework Statement Not a homework problem exactly, but in an EE textbook I saw something to the following effect: To obtain the time domain behavior for \frac{s}{s^2+\frac{\omega_0}{Q} + {\omega_0}^2} the following Laplace transforms are combined to cancel the term in the numerator...

Homework Statement A photographer is positioning 5 men and 4 women for a photo shoot. The men are positioned in the order from shortest on the left to tallest on the right. Find the number of ways the photographer can position them in a row. (All men are of different heights and are not...

Hello, I am looking for a formal way to represent an n-ary relation as a combination of binary relations and logical connectives. Suppose we have a set A, a set B = \{b: b\subseteq A^2\} of binary relations over A, and a set of logical connectives C = \{\neg, \wedge, \vee\}. We define a set...

Hello there, I have trouble understanding why the coefficients in an affine combination should add up to 1; From the wikipedia article (http://en.wikipedia.org/wiki/Affine_space#Informal_descriptions) it's mentioned that an affine space does not have an origin, so for an translation different...

I am pretty confused about how to construct states to make symmetric / anti-symmetric combination so I would like to ask some questions. For example, for SU(2), states of three spin-half particles can be decomposed as 2 x 2 x 2 = 4 + 2 + 2, 3 irreducible combination with dim 4, 2, 2. -if...