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. T

    Commutative Binary Operations on Sets of 2 and 3 Elements

    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.
  2. J

    Solve Binary Operations Question: Prove Isomorphism

    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...
  3. F

    Dimensions, Unit Operations Homework (True/False)

    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)...
  4. C

    Elementary Row Operations - only need two?

    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...
  5. fluidistic

    Is this set with the following operations a field?

    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...
  6. I

    Binary operations, subsets and closure

    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...
  7. F

    Easy operations but somehow I'm wrong

    Homework Statement Carry out these operations as if they were calculations of experimental results, and express each answer in the correct units and with the correct number of significant figures: (d) (7.8 m - 0.34 m) / (1.15s + 0.82 s) Homework Equations V=d/t The Attempt at a...
  8. J

    How Can Operations Research Techniques Determine Project Completion Time?

    Please help me to solve this problem. This was a question given in our end semester examination. The management of a certain garment factory is considering the construction of a new washing plant building. The project consists of 7 major activities. The information pertaining to the project...
  9. JJBladester

    Determine (without doing row operations) that a system is consistent

    Hello, I just started learning Elementary Linear Algebra. I've read through the first chapter in my book (Elementary Linear Algebra by Larson, Edwards, Falvo, 5th edition). There were two "Discovery" questions that try to see if you know how systems of equations work. I am unsure on both...
  10. M

    2.2 Set Operations: Discrete Mathematics and its application

    page.130 Ex.20 Ex.20 Show that if A and B are sets, then (A\capB) \bigcup (A\capB) = A. how do u solve this? The Attempt at a Solution
  11. A

    Operations research linear model question

    Homework Statement Dean's Furniture Company assembles regular and deluxe kitchen cabinets from precut lumber. The regular cabinets are painted white, and the deluxe are varnished. Both painting and varnishing are carried out in one department. The daily capacity of the assembly department is...
  12. D

    Bitwise operations in Macysma derived Computer Algebra Systems?

    I can't see any native bitwise operators (like C++'s & and ^) in Maxima, is the right way to drop down into CLisp something like this? :lisp boole-and 5 7 Many thanks, Duncan
  13. E

    Questions regarding function operations on sets.

    Let F:X->Y be an arbitrary function over sets X and Y. Why is F-1(Y) = X always true? Suppose B1 and B2 are some subsets of Y. Why is F-1(B1 \bigcap B2) = F-1(B1) \bigcap F-1(B2) always true? These aren't homework questions. I'm just curious. I saw these statements the other day, and I...
  14. M

    Tensor operations and properties

    Hello everyone! I finished school 2 months ago and at the moment I'm looking forward to my study in physics :) As a preparation for it, I want to learn more about the mathematics physics use :) I read some books about vectors and matrices and came upon the term 'tensor' several times :)...
  15. H

    MATLAB MATLAB: Sum & Remove Array Entries (0, 1 & >1)

    Hi, How can I find the following from an array with entries of 0, 1, and >1: Find the sum of all the entries in the matrix that are not equal to 0. Find the sum of all the entries in the matrix. Find the sum of all the zero and 1 entries in the matrix. How to remove the entries in the...
  16. J

    Significant Digits for Longer Operations

    Homework Statement Ok so I am having difficulty doing significant digits for longer operations (i.e. cosine law) where you also have square roots and squares (I know they are simply multiplications) Homework Equations c^2 = a^2 + b^2 - 2ab(cosC) The Attempt at a Solution Here are...
  17. N

    High performance library for set operations?

    I need to perform standard set theory operations such as union, intersection, difference on sets of integer numbers. Each set can have a few hundred elements and each operation can involve a few hundred sets. The operations can easily be written in Java using the Java Collections Framework...
  18. R

    Operations across an inequality

    Homework Statement If a<b...can I then say that a^2<b^2 or a^3<b^3 or even \sqrt{a}<\sqrt{b}?Why I ask is that usually in some of the induction questions I do with inequalities, they give an expression like x_{n+1}=x_n^2 -7 or something like that.
  19. B

    Vector Operations Homework: Verify |xy|<=|x|+|y|

    Homework Statement Let x and y be to vectors Verify whether |xy|<=|x|+|y| for all x,y The Attempt at a Solution My first problem with this question is that it does not tell us whether the operation xy is the same as x.y (dot product) or a cross product.
  20. Dale

    Are Scaled and Summed Four-Vectors Still Four-Vectors?

    If a and b are four-vectors then are ka and a+b also four-vectors? My question arises because of the four-velocity, which always has magnitude c. So the sum or difference of two four-velocities will not generally be a four-velocity, but will it be a Lorentz invariant four-vector? If so...
  21. C

    Proof about operations on sets

    Homework Statement Let the set Ar: r is an element of all real numbers and the set Br: r is an element of all real numbers be two indexed families of sets. Prove that (upside U r is an element of the reals Ar) U (upside U r is an element of the reals Br) is a subset of upside U r is an...
  22. C

    Proving Set Subset Relationships: A Guide to (X/B) and (X/A) Union"

    Homework Statement Prove the following statement: A is a subset of B if and only if (X/B) is a union of (X/A) Homework Equations The Attempt at a Solution I really don't understand how to prove these types of problems. I was thinking about proving the contrapositive, which...
  23. L

    Mathematic operations and structures in C

    Hello guys, I was wondering: say you have a structure: struct tag{ int a char b int b int c } how would you make int c equal to int a + int b for all variables of type struct tag? I have tried using pointers but it baffles me how you would make a global change in that all...
  24. M

    Is the group (G,dG) isomorphic to the original group G?

    Homework Statement Exercise 1.2:2. (i) If G is a group Define an operation dG on |G| by dG(x, y) = x*y^-1. Does the group given by (G,dG) determine the original group G with * (I.e., if G1 and G2 yield the same pair, (G1,dG1) = (G2,dG2) , must G1 = G2?) There is a part II, but I would...
  25. R

    Can Column Operations be Used to Find the Inverse of a Matrix?

    If I have a matrix A= \left( \begin{array}{ccc} 1 & 2 & 3\\ 0 & -1 & 4\\ 1 & 1 & 6 \end{array} \right) and I need to find A^{-1} I would just augment with the identity matrix and then do row operations. But if I want to use...
  26. S

    Order of Operations: Guitar String Frequency

    Homework Statement Homework Equations The answer is 417.42 Hz in the book, I just don't know the order of operations to solve this. The Attempt at a Solution Can you explain where I'm going wrong in my order of operations. Thanks
  27. T

    Gauss Row Operations: Solving by Hand?

    I am just interested is there anyway to solve these through a specific method by hand. I know that you can produce an algorithm so that you can solve these into upper triangle form but is there a way to do it by hand other than by inspection.
  28. O

    Operations on 2 vector fields?

    Supposing we have as 2 vector fields: F = x^2i + 2zj +3k and G = r^2e_r + 2\cos\Theta e_{\Theta} + 3\sin(2\phi) e_\phi how do i perform the following operations on them? - F\cdot r - F\times r - |G| - G\cdot r
  29. E

    C/C++ What do the symbols and operations mean in resolving C++ text problems?

    i am faced with some homework in Resolve/C++ and encountered several problems ensures t1 = #t1 * #t2 -what do the pound signs before the variables mean? -what does it mean when one text "*" another text? hope someone can help. can't really find much resolve/C++ help online. thanks!
  30. P

    Sigma Algebra Operations: Examples

    What are some examples of sigma algebra operations?
  31. P

    Matrix operations in C language

    i have a matrix 4x4 like this 1 5 7 3 2 6 8 0 1 4 3 2 0 4 0 5 my teacher asks me to print out 1 2 3 4 each of the digits is from the 1st 2nd 3rd 4th rows it looks very simple, but because i just learned c for two months, i don't know how to code a program, true. could you help me...
  32. E

    Modulus Operations Homework: Simplifying 1^3+2^3+3^3+...+99^3+100^3(mod4)

    Homework Statement How do you simplify : 1^3+2^3+3^3+4^3+...+99^3+100^3(mod4) Please try to explain the solution as detailed as possible or atleast so I can understand it. :smile:
  33. S

    Linear Algebra: Elementary Row Operations

    Elementary Matrices: Let A be a mxn matrix. Write down mxm matrices Ers, Dr( \lambda ) and Trs( \mu ) Ers Swaps rows r and s, Dr( \lambda ) multiplies row r by \lambda Trs( \mu ) adds \mu times row s to row r compute the determinant of the three matrices you found I...
  34. B

    Operations with infinites and zero and etc.

    hi I'm guessing if anybody knows some work of some matematician about operations with infinites, not just the 0/0=inf/inf=inf*0 and so, but something advanced, like a deep study in infinites and zero math. i tried with google scholar, in the math sites, on the forums but i couldn't find...
  35. M

    Determine Right Angle of ΔABC with Vector Methods

    Q: Given the points A(1,6,-2), B(2,5,3) and C(5,3,2). Use two different vector methods to determine whether ΔABC is a right angle triangle. hmmm vector methods...i'm not quite sure what to do but i have some ideas. for a first method, could i take the magnitude of each side and see if the...
  36. J

    Units from Operations: 1-kg/s^2, 2-m^3/s, 3-m^2, 4-coul^2/s

    Express in the simplest form the units resulting from the following. (1) [kg/m^2][m^2/sec], (2) [m^3/kg][kg^2/sec], (3) [m^5/sec^2] / [m^3/sec^3], (4) [(kg^2 x coul^2)/(sec^3)] / [(coul x kg)/(sec^2)]
  37. Pengwuino

    News Port Operations in the US: Xenophobia or Opportunity?

    So does anyone know what companies are going to be taking over port operations in the Bay Area and LA? I mean, doesn't the left want to thrust xenophobia into the spotlight and kick out foreign companies "running" US ports? China ring a bell anyone? Anyone?
  38. S

    Why Do Heat Engines Need to Be Efficient for Maximum Temperature Increase?

    we have 3 identical bodies of constant thermal capacity, two at 300K and one at 100k. we want to know the highest temperature that anyone of the bodies can be raised by the operation of heat engines. we already solved this problem in a tute, and we assumed the heat engines were reversible so...
  39. Loren Booda

    What Comes Before and After Addition, Multiplication, and Exponentiation?

    What operation precedes, and what operation follows the sequence below? ...addition, multiplication, exponentiation...
  40. T

    Proving Abelian Group with Numbers and Operations

    Hello. I was wondering how I could prove if a set of numbers along with some arbitrary operation is an abelian group.
  41. K

    Mathematica Are cognition levels and mathematical operations linked ?

    Let consider this small example...I find it interesting, but I think it does not in fact tell anything about reality : You are in presence of somebody, and another one enters the scene :Operation "times" : a) subjectively (as seen from you), the number of person is for you : x 2 : 1...
  42. S

    Large signal operations of FET

    Hi guys! can anybody suggest me any link from where i can get a detailed understanding of large signal operations of MOSFETs? Thanks in advance
  43. tandoorichicken

    Linear algebra and matrix operations: correct me if im wrong

    as far as intro linear algebra is concerned, there's no such thing as matrix division and its not valid to say that for a linear transformation T(x) and its standard matrix A, A = \frac{T(\vec{x})}{\vec{x}} just because T(\vec{x}) = A\vec{x} Am I right?
  44. T

    Elementary row operations question

    I am working with the following equation: |1 -2 3| |6 -11 15| |4 -14 21| a. add -4 time Row1 to Row 3 b. add -6 times Row 1 to Row 2 c. add 6 times Row 2 to Row 3 d. multiply row 3 by -1/9 I have come up with the following answer: |24 -48 72| |180...
  45. S

    Graphical Analysis of Functions: Finding g(x+3) at x=1

    Little help please and some work checking. Given f(x)=3x+2 and g(x)=\frac{x-4}{2x} It asks for g(\frac{1}{x}) So substitute in: \frac{\frac{1}{x} - 4}{2(\frac{1}{x})} Simplify: \frac{\frac{1}{x} - 4}{\frac{2}{x}} I multiply top and bottom by x right? That would give: \frac{1 -...
  46. R

    News Venezuela to Provide Discounted Heating Oil and Free Eye Operations to U.S. Poor

    http://www.venezuelanalysis.com/news.php?newsno=1736
  47. M

    Fields and new operations

    This problem comes from Halmos's Finite Dimensional Vector Spaces. Given that we can re-define addition or multiplication or both, is the set of all nonnegative integers a field? What about the integers? My thinking is that since the Rational numbers form a field, and they are countable, we...
  48. Y

    Levi - Civita tensor and operations with it

    I read about symbols which simplify representing vectorial operations. For example A_\mu\hat{e_\mu}=\sum_{i=1}^{3} A_i\hat{e_i}=\vec{A} also \vec{A}\times\vec{B}=\sum_{i,j,k=1}^{3} \epsilon_{ijk}\hat{e_i}A_j B_k = \epsilon_{\lambda\mu\nu} \hat{e_\lambda} A_\mu B_\nu As an exercise i have...
  49. D

    LaTeX Rtf2latex2e problems in this software operations

    It seems like i had problems in this software operations. It seems like i can't get what i suppose to get after the conversion. Here i attach some pics for ur view and some rtf files which i convert them. http://members.fortunecity.com/darkar/pf/table.rtf...
  50. L

    How to prove the double containment argument for infinite operations with sets?

    Hi, I am having problems with proving the double containment argument for the following problems. I would appreciate any feedback. Thanks. Compute \bigcup (i \in I) Ui and \bigcap (i \in I) Ui if a. I=N, the set of all positive natural numbers and U_n = (-n,n) \subseteq R (U_n is the open...
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