What is Operations: Definition and 315 Discussions

The Joint Special Operations Command (JSOC) is a joint component command of the United States Special Operations Command (USSOCOM) and is charged to study special operations requirements and techniques to ensure interoperability and equipment standardization; to plan and conduct special operations exercises and training; to develop joint special operations tactics; and to execute special operations missions worldwide. It was established in 1980 on recommendation of Colonel Charlie Beckwith, in the aftermath of the failure of Operation Eagle Claw. It is located at Pope Field (Fort Bragg, North Carolina).

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  1. Q

    How are column operations used to obtain Q in elementary column operations?

    I'm reading Charles G. Cullens' "Matrices and Linear Transformations" and have a question about one of the examples. Don't worry- I'm self-studying this. Homework Statement This is the section about matrix equivalence- both row and column equivalence. It says "Theorem 1.30 If a sequence of...
  2. N

    [Discrete math]Help with a relation involving modular arithmatic and set operations.

    Homework Statement Let R1 and R2 be the "congruent modulo 3" and "congruent modulo 4" relations on the set of integers. Homework Equations Find: a) R1 \cupR2 b)R1 \cap R2 There is also problem c, d but I won't write these here. If I am able to solve this, then the rest should be...
  3. A

    Interchange of limit operations

    Homework Statement Find a sequence of continuous functions f_n: R \rightarrow R such that lim_{x \rightarrow 0}lim_{n \rightarrow \infty}f_n(x) and lim_{n \rightarrow \infty}lim_{x \rightarrow 0}f_n(x) exist and are unequal. Homework Equations N/A The Attempt at a Solution I...
  4. L

    Correct Algebraic Manipulation of Partial Derivative Operations

    Homework Statement Hello, recently in my calculus III class we went over some problems of the following form: If 'for some given equation' show: x(fx) +y(fxy) +fx= 0 For some examples I was playing around with the operations BEFORE I dived in and started solving for fx and fy and got...
  5. J

    Cross product order of 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
  6. R

    Proving operations are well-defined

    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...
  7. A

    2.2 Set Operations: Discrete Mathematics and its application

    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.
  8. J

    Checking Output of File Operations: How to Open & View a Text File

    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?
  9. L

    Operations Involving Law of Sines and multiple Unknown Values

    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...
  10. S

    Order of operations with bras and kets

    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...
  11. P

    Vector calculus and order of operations

    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...
  12. S

    Elaboration on matrix operations.

    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...
  13. U

    Order of Operations, Lorentz Transformations & Superposition

    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...
  14. P

    Basic Summation Operations - Manipulating of domain and change of variable

    Homework Statement a) Show that $\sum_{S(j)} a_j + \sum_{R(j)} a_j = \sum_{S(j) and R(j)} a_j + \sum_{S(j) or R(j)} a_j$ is valid for an arbitrary infinite series, provided that 3 out of 4 sums exist. b) Show that $\sum_{R(j)} a_j = \sum_{R(c-j)} a_{c-j} for an arbitrary infinite series where...
  15. T

    Question about solving augmented matrices and row operations

    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...
  16. A

    Solving Vector Operations: 4 Sets of Displacement

    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.
  17. O

    How do I optimize program allocation for employee training?

    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...
  18. D

    Abacus or mechanical solutions to matrix operations

    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...
  19. M

    Tensor operations, Maxwell's field equations

    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...
  20. Z

    Question about common math operations.

    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...
  21. T

    Evaporator machine but in the operations manual

    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...
  22. H

    Couple of Basic questions on Hole-making operations

    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...
  23. T

    Analysis Question: Proving Algebraic operations for infinite limits

    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...
  24. T

    Derivative and integral (inverse operations?)

    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...
  25. T

    What is the Cost Function and How to Minimize it Using Excel Solver?

    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...
  26. B

    Calculators Cheap scientific calculator that does matrix operations

    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...
  27. N

    How Can Bit Operations Simplify Conditional Checks in C?

    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...
  28. P

    Why do we have order of operations in math?

    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...
  29. T

    Quick question about matrix operations.

    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 +...
  30. King Tony

    Proving equalities with operations on sets

    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.
  31. E

    Algebraic Properties of Matrix Operations

    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...
  32. E

    Algebraic Properties of Matrix Operations

    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...
  33. B

    Linear Function Definition for Matrices and Operations

    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...
  34. W

    Well defined Vector operations

    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...
  35. H

    Stabilizer of an Element in Group Operations | Group Theory Homework

    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...
  36. T

    Operations in Reverse Polish Notation

    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?
  37. H

    Operations with Linear Transformations

    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...
  38. D

    Arithmetic operations on sequences

    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.
  39. C

    Can Rows be Combined Without Type III Operations?

    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...
  40. G

    Analyzing the Argument: Is Algebraic Operations on Infinite Series Valid?

    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...
  41. M

    Understanding 0-ary Operations: Definition and Examples

    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...
  42. M

    Capacitor Basics: Charge & Discharge Operations

    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.
  43. P

    Opening up a window - sequence of operations

    opening up a window - sequence of operations! hi, i just need a list of what i need to do to open up a window. approx 6 metres long by 3 metres deep. i know that struts, needles, dead shores and bracing etc is involved, i just need help putting a full list in order. this is what i have so far:-...
  44. V

    Find the determinant using row operations

    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...
  45. C

    Order of operations for dot/cross product

    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?
  46. R

    Mapping a Vector to a Vector Preserving Operations

    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?
  47. A

    Number of Arithmetic Operations to solve (x^T)(A^-1)x

    Homework Statement Let A be a nxn real symmetric positive definite matrix and x not equal to 0 a real nx1 vector. Show how to computre xTA-1x in n3/3 + O(n2) arithmetic operations. Homework Equations The Attempt at a Solution Some things I think I do know: If A is real spd, so is...
  48. L

    Linear Algebra: Operations with Vector Spaces

    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...
  49. N

    Matrix S^n: Generalizing Matrix Operations

    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?
  50. M

    Understanding the Operations of Equations: Exploring Steps and Solutions

    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...
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