Operations Definition and 305 Threads

Homework Statement Hello, recently in my calculus III class we went over some problems of the following form: If 'for some given equation' show: [FONT="Book Antiqua"][SIZE="5"]x(f[SIZE="2"]x) +y(f[SIZE="2"]xy) +f[SIZE="2"]x= 0 For some examples I was playing around with the operations...

Could someone please clarify a simple order of operations related to cross product? A x (B x C) = ? I am not sure between the these two options: = (A X B) x (A X C) or = do stuff in parenthesis first then cross with A

Homework Statement Let X= N x N. Define a relation R on X by (x,y)R(z,w) if xw=yz. Then R is an equivalence relation. Define "+" and "x"(multiplication) on the set X/R of equivalence classes by: [x,y] "+" [z,w] = [xw + yz,yw] [x,y] "x" [z,w] = [xz.yw]. Prove that each of the operations is...

Ex 36, p 147. Let f be a function from the set A to the Set B. Let S and T be the subset of A. Show that b) f(S \cap T) \subseteq f(S) \cap f(T). Thanks.

how to see the output of a file operation? eg void main() { int a; cin>>a; ofstream o("a.txt"); o<<a; o.close(); } does the text file "a" come into existence? can we open it?

Hello, I was working on a computer graphics problem when I encountered an interesting sceanrio: I have two vectors a and b, such that the angle between them is 45 degrees. The vector a+b and a have an angle between them that is 30. This produces a problem in 'drawing' a triangle, when...

I am confused about the order of operations with kets, as well as when one can permute the order of the kets. Question 1: When I have a term as follows: a^2|+>|d+><+|<d+| ...why exactly am I able to switch the order of the bras and kets as follows? a^2|+><+|d+><d+| I get confused...

I understand how to do (a). However, I'm having trouble with the rest, here. I've never properly learned the order of operation for vectors like this. For example, for (b) does one dot (r - r') with itself BEFORE using the del operator? Thanks guys, help appreciated. Even if you point me...

Hi everybody, I'm currently studying matrices on an algebra 2 level. The problem is that right now the book is just teaching what to do and how to do it, but it's not telling why it has to be done that way (for instance: matrix multiplication, determinants and matrix inversion). Basically...

I am wondering about the order of operations concerning the Lorentz transformation of fields and the superposition of fields. I was given a problem: Two positively charged electrons start at the origin and then travel along the x-axis at a constant speed v in opposite directions. Calculate...

So I just started my Linear Algebra course yesterday. I am confused on one aspect. When asked to solve an augmented matrix, the teacher would employ row operations. I understand how the row operations lead from one matrix to the next, but what I don't understand is how we formulate which row...

can anyone tell me how to deal with this question-: which of the following sets of displacement might be capable of bringing a car to its starting point? a. 5,10,30 and 50km b. 40,50,90and 200km c. 10,20,40and 90km d. 5,7,9and 16km advanced thanks.

Hi. I really need help with a problem I've been given @ university regarding optimisation. I have little idea how to solve it. We are given an employee class, say "Senior Manager", and the skills that need training, given as a vector: 0 0 0 1 0 1 0 0 0 1 1 0 1 0 1 0 1 0 0 0 1 1 0 1 or...

I'd like to find a mechanical solution to matrix operations and computations. Currently, my emphasis is on a useable tool/method for Gauss-Jordan Elimination and the Simplex Method in Linear Programming due to the sheer amount of time that calculating and writing everything by hand takes. I...

I have been working through a relativistic gravitation book ("Gravitation and Cosmology" by Stephen Weinberg) and decided to circle back to the early tensor work in chapter two and just work out the basic tensor math to make sure that I have a feel for how it all goes together. Right at the...

Okay say we know from magnetism. E = F / q F = KQq / R^2 Then we can say that. E = KQq / (R^2 / q) Then wouldn't we say E = KQq * q / R^2 E = KQq^2 / R^2 Its just like saying. 5 / (1 / 2) = 5 * 2 / 1 = 10. Why is it we cancel the q's instead of squaring them, because my textbook does that...

Hello, Could someone please give me an explanation using the following equation? I work this evaporator machine but in the operations manual there is this equation below.I would like to further my knowledge. Equation for Evaporation Q = U x A x DT Q = Energy Transfer (W) U = Heat...

To improve my knowledge.. These are not homework questions :) 1. How does 'Trepanning' work and where is it used in the manufacturing industry? 2. What is the need for a 'Lip Relief Angle' in drills? 3. If 15-20 deg helix angle drills are called 'low helix angle' and 35-40 deg are called...

Homework Statement Given \lim_{n\rightarrow \infty}a_{n}}= 0 b_{n} is bounded below. Prove: \lim_{n\rightarrow \infty}(a_{n}+b_{n})}= \infty Homework Equations N/AThe Attempt at a Solution According to my text: {b_{n}} is bounded below if and only if there is a real number \ni B \leq...

I'm learning calculus, but I'm still a beginner on that. So the concepts I actually have are the following: The derivative is the slope of the line tangent to the curve of a function at a given point (so we need 1 argument: the x you want the slope). The integral is the area under the...

Introduction to Operations Research, Hiller, 3.4-12 I believe 1 2 3 4 5 New Alloy tin 60 25 45 20 50 =40 zinc 10 15 45 50 45 =35 lead 30 60 10 30 10...

I do not have a calculator that does matrix stuff that would be great for my classes this semester. I don't want to spend $100+ on a graphing calculator since I use MATLAB at home strictly now. I am looking to solve simultaneous equations, matrix operations like det,eigen,mult,...etc Any...

Homework Statement I want to write the following if statement into simply manipulations using the bit operations: ! ^ & | << >> ~ + Given an x... if ( x == -1 || x == 0) return -1; else return 0; I am dealing with 32-bit integers. How do I go about doing this? (Note: -1 is...

Just a random thought I had today. Where does the order of operations come from? Is there a mathematical basis for it, or is it just a set of accepted rules developed out of necessity? As far as I can tell, these rules only exist for the purpose of having a convention to follow. Is this...

Say there are these systems of equations : x - 2y + z = 0 2y - 8z = 8 -4x + 5y + 9z = -9 In matrix form, it can be represented like this : -- [1 -2 1 0] < -- row 1 [0 2 -8 8] < -- row 2 [-4 5 9 -9] < -- row 3 When we do elementary row operations, say on row3 = row3 +...

Homework Statement Let A, B, C be any sets. Prove that if C\subseteq A, then (A\cap B)\cup C = A\cap (B\cup C) Homework Equations ? The Attempt at a Solution Don't even know where to begin, If someone could point me in the right direction, that would be the best.

1. Homework Statement Let A and B be (2x2) matrices such that A^2 = AB and A does not equal the zero matrix O. Find the flaw in the following proof that A = B: Since A^2 = AB, A^2 - AB = the zero matrix O Factoring yields A(A-B) = O Since A does not equal O, it follows that A - B = O...

1. Homework Statement Let A and B be (2x2) matrices such that A^2 = AB and A does not equal the zero matrix O. Find the flaw in the following proof that A = B: Since A^2 = AB, A^2 - AB = the zero matrix O Factoring yields A(A-B) = O Since A does not equal O, it follows that A - B = O...

Let A be a n x m matrix. Show that if the function y = f(x) defined for m x 1 matrices x by y = Ax satisfies the linearity property, then f(aw + bz) = af(w) + bf(z) for any real numbers a and b and any m x 1 matrices w and z. Matrix Multiplication, vector addition, scalar-vector...

Homework Statement Given that u , v and w are vectors, which of the following are well defined operations? Find ALL correct answers A. (3u X v) X (5u X w) B. (3u X v) X (5u . w) C. (3u X v) . (5u . w) D. (3u X v) . (5u X w) E. none of the above X = Cross Product . = Dot...

Homework Statement An operation of a group G on a set S is a function G X S \rightarrow S satisfying: 1. es = s \foralls \epsilon S 2. g(hs) = (gh)s \forallg,h \epsilon G, s\epsilon S If s \epsilon S, show that the stabilizer of s, defined as the set: {g \epsilon G | gs = s} is a subgroup...

Recently I was doing various equations in RPN to teach myself the notation. Everything went fine until I wanted to do a limit. How would one go about expressing limits (and any other operation that isn't addition, subtraction, division, or multiplication) in RPN?

Homework Statement Let T:U \rightarrow V be a linear transformation, and let U be finite-dimensional. Prove that if dim(U) > dim(V), then Range(T) = V is not possible. Homework Equations dim(U) = rank(T) + nullity(T) The Attempt at a Solution I almost think there must be a typo in the book...

Homework Statement If the sequence {a_n} n=1 to infinity converges to (a) with a_n >0 show {sqrt(a_n)} converges to sqrt(a) Homework Equations hint: conjigate first The Attempt at a Solution abs[ (a_n-a) / (sqrt(a_n)+sqrt(a) ) ] < epsilon i do not own LATEX, yet.

Homework Statement Show that any multiple of a row can be added to a row above it by row operations of other types. Homework Equations There are only 3 elementary row operations. i. Interchange two rows ii. Multiply a row by a constant iii. Add a multiple of a row to another row. The...

I just need to make sure that I've got this analysis right: The argument S = 1 - 1 + 1 - 1 + 1 - ... then S = (1 - 1) + (1 -1) + (1 -1) + ... = 0 is invalid because it ignores all sum Sn for n not congruent modulo 2 (not even). The argument S = 1 - 1 + 1 - 1 + 1 - ... then S = 1 - (1 -1) - (1...

Hello all. Along the lines of unary and binary operations, could someone describe what 0-ary operation is and possibly give an example. I have only seen such an operation mentioned once, and that was early in the first chapter of Grillet's Abstract Algebra (2007), and so presumably it does...

hi ,to all forums member from mahek.please help me out for understanding the basic concept of capicitor and homework it,s charge and discharging operation of it.

Homework Statement find the determinant using row operations: 1 -2 2 0 5 -1 2 -4 1 Homework Equations The Attempt at a Solution i took row 3 and took 2 x row 1 away from it to get : 1 -2 2 0 5 -1 0 0 -3 1 x 5 x (-3) = -15...but i multiplied a row by 2 so i should get -30...

just say i get a.bxc where x is cross product, and a,b,c are vectors, does it matter if i do the dot before the cross product?

can i know how to map a vector to a vector by preserving the operation if addition and mutiplication ..pls dun use f(x+y)=f(x)+f(y).. i wan to know how to use in abstract ... if i do the mapping wat will happens?

Homework Statement Let V be a vector space over k and S the set of all subspaces of V. Consider the operation of subspace addition in S. Show that there is a zero in S for this operation and that the operation is associative. Consider the operation of intersection in S. Show that this...

If I have a matrix S = 0 0 0 0 ... 0 1 0 0 0 ... 0 0 1 0 0 ... 0 0 0 1 0 ... 0 ... 0 0 0 0 .1.0S^2 =0 0 0 0 ... 0 0 0 0 0 ... 0 1 0 0 0 ... 0 0 1 0 0 ... 0 ... 0 0 0 0 1.. 0etc. going in this way S^n would just be the zero matrix., How do I generalize S^n of this matrix?

hahaha uhhhh operations of e Homework Statement i'm reading this online math help thing, and i can't seem to memorize how/why this isHomework Equations how did they get this?edit* how did they get the answer from the left to the right side of the arrow? The Attempt at a Solution i know this...

Homework Statement How many different commutative binary operations can be defined on a set of 2 elements? On a set of 3 elements? The Attempt at a Solution I do not understand the question. Seems like an infinite number.

So I have really been struggling with this question. The original question said: The map \varphi:Z->Z defined by \varphi(n)=n+1 for n in Z is one to one and onto Z. For (Z, . ) onto (Z,*) (i am using . for usual multiplication) define * and show that * makes phi into an isomorphism. I know that...

Homework Statement X and Y are dimensionally different. (They have different units.) Select ALL the physically meaningful operations. State which are true or false 1. X/Y or X*Y 2. X+Y or X-Y 3. e^(X/Y) or e^(X+Y) 4. X^2 +Y^2 or X^X + Y^Y 5. X^2 or Y^2 6. X^(1/3) or Y^(1/3)...

I was reading that the "exchange rows" operation can be achieved through the other two operations: multiplication by a nonzero number and adding a multiple of one row to another. Any thoughts on the actual algorithm for achieving an exchange of rows through these other two operations? I...

Homework Statement The title of the thread says it all. The set is (0,1). Here are the operations : addition is such that 0+0=0, 0+1=1, 1+0=1 and 1+1=0. Multiplication is as follows : 0.0=0, 0.1=0, 1.0=0 and 1.1=1. 2. The attempt at a solution In order to be a field, the set and its...

Homework Statement 1) Let S be a set and p: SxS->S be a binary operation. If T is a subset of S, then T is closed under p if p: TxT->T. As an example let S = integers and T be even Integers, and p be ordinary addition. Under which operations +,-,*,/ is the set Q closed? Under which...