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. F

    Unsensible Rules/Laws of negative number operations

    First of all I must make a claim. Rules are shortcuts. Shortcuts that people use to not bother in understanding the complete picture of something. And this includes the rules of calculation between negative and positive numbers. Furthermore, I believe that these rules are counterintuitive or...
  2. J

    Can real numbers and infinity coexist in all number systems?

    Is correct to state that: ##x \infty = \text{sgn}(x) \infty## ##\infty^x = \infty^{\text{sgn}(x)}## ?
  3. V

    Formal definition of set operations

    Are set operations on a set ##X## defined as operations on ##2^X##? In other words a binary operation on ##X## is an operation ##\omega:2^X\times{}2^X\rightarrow{}2^x##? Surely the basic set operations could be defined that way, but then some weird non-standard operation like...
  4. Marvin Kalngan

    MHB Order of Ops: PEMDAS Explained w/ Examples

    The Order of Operations: PEMDAS “A common technique for remembering the order of operations is the abbreviation "PEMDAS", which is turned into the phrase "Please Excuse My Dear Aunt Sally". It stands for "Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction". This...
  5. R

    Integrating with Negative Signs: Effects on Solutions

    While working on an integration problem I found that I will arrive at two different solutions depending on how I approach it. I'm finding the arc length of y=ln(1-x2) on the interval [0,0.5] The formula for finding the arc length is ∫sqrt[1+[f'(x)]2]dx So f'(x) = -2x / ( 1-x2 ) Here...
  6. J

    Point groups and symmetry: Adding and subtracting operations

    Homework Statement I haven't been assigned these questions, but I'm trying to trudge through them to better understand symmetry. This is for my inorganic class. It's just a series of short questions like: C3 – S56 = ? S4 + i = ? C3 + i = ? Stuff like this. And just looking at the...
  7. E

    Why the order of operations?

    Hi, I am wondering why the order of operations where made? Is it the case that mathematics is just a tool of solving physical problems, and hence the order is physically defined? For example, if I say: I took 3 apples from 9 apples and divided the rest to two persons equally, I won't write...
  8. A

    MHB How to Prove Certain Matrix Operations and Understand Their Properties?

    1. So firstly I would like to show that product of the matrices L21,L31,... in the derivation of the LU decmoposition is lower triangular. I have already shown that product of upper and lower triandular matices is upper or lower. Now I don't know how to show the derivation. 2. I have been given...
  9. T

    MHB Trigonometry question: order of operations

    Hello I have -csc^2 x Is this the same as -(cscx)^2 or (-csc x)^2? Thanks, Tim
  10. P

    Right inverse, left inverse, binary operations

    Homework Statement If * is a binary operation on a set B, and the domain of definition is B^2, if * is associative and the neutral element is p. If r and l are elements of b we can say that r is a left inverse of l under * iff r * l = p, and l is a right inverse of r iff l * r = p. Show that if...
  11. T

    Python (Numpy) Non-Elementwise Array Operations

    Python (numpy) question: I have two 2D numpy arrays, A[i,j] and B[k,l], but the indexes are unrelated to each other (A and B won't even have the same dimensions in general). I want to be able to add/multiply these two together to get a 4D matrix: C[i,j,k,l] = A[i,j] + B[k,l] or C[i,j,k,l] =...
  12. S

    Fundamental Polynomial Operations

    Hi guys! I'm kind of stuck in my review here in Quantitave on the Polynomial part :confused: Homework Statement A. The first problem I had is Problem 7 on the link I will provide which has this. (x + y)3 + (x-y)3 = ? B. The second problem I had is Problem 8 on the same link I will...
  13. P

    Parity Operations and CPT Theorem

    Hey all, I have a four part question: Homework Statement Let ψ represent a wave function where x,y,z are spatial coordinates and t is time. The particles \pi^{-}, \pi^{0}, \pi^{+} are pions (\pi mesons). The parity inversion operation is represented by The Attempt at a Solution...
  14. P

    Parity Operations and CPT Theorem

    Hey all, I have a four part question: Homework Statement Let ψ represent a wave function where x,y,z are spatial coordinates and t is time. The particles \pi^{-}, \pi^{0}, \pi^{+} are pions (\pi mesons). The parity inversion operation is represented by The Attempt at a Solution...
  15. G

    Row/Column space in relation to row operations

    I'm having trouble wrapping my head around what should be a trivial detail, but it is important, so hopefully someone else putting it in explicit words might help me understand it. What I am having trouble grasping is why do row operations preserve linear dependence relations for the columns...
  16. 4

    Prove equivalence of elementary operations in Gauss Algorithm

    Homework Statement Prove that replacing one equation in a system of linear equations by a non-zero multiple of itself does not change the solution of the system. The Attempt at a Solution I'm still relatively new to proofs, so this is what I have come up with: Let S be a system of...
  17. N

    Del operator - order of operations

    Hey! Is it true that when you dot the del-operator on another vector, the differentiation has priority over the dot-product? That's why you get all those weird formulas for the divergence in circular and cylindrical coordinates (which are very different to the Cartesian ones)? So in the case of...
  18. C

    Transportation and Traffic Operations Help

    1. This problem examines the motion of an automobile traveling on a crest vertical curve with the following profile: y=100+0.1x-0.0005x^2 where y and x represent the roadway elevation (in feet) and the horizontal distance (in feet). The automobile sets the brakes when x=0 while traveling 45 mph...
  19. D

    Does the order of algebraic steps (not operations) matter?

    I know that the example I use has been done online many times, but my question isn't about how to get the answer, that is obvious, my question goes a little deeper. For example when deriving the equation for an ellipse we have the constraint that the ellipse equation describe the set of (x,y)...
  20. S

    How do these operations with Del operator work?

    How do these operations with Del operator work?? Homework Statement Let's say A and B are expressed by their cartesian components as: A = <P, Q, R> and B = <M, N, O> what would be the differente between (A.∇)B and B(∇.A) ? Homework Equations The Attempt at a Solution I tried...
  21. L

    Operations research word problem help appreciated

    I was wondering if anyone would be able to help me in answering these two questions related to this problem. I'm rather stuck! Problem - Ronald has just discovered four new ingredients for making a very potent potion that will raise his IQ by 15 points. We can only identify the ingredients as...
  22. B

    MHB Operations on Sets: Correcting Answers

    just want to know if my answers are correct. 1. for any set A, a set of subsets of A is said to be exhaustive if the union of these subsets is A, and is said to be disjoint if no two of the subsets have any element in common. if $\displaystyle A\,=\,\{a,\,b,\,\,c\},\,$ tell whether the...
  23. B

    MHB Is My Solution to These Set Operations Correct?

    just want to make sure if my answer is correct If $\displaystyle U\,=\,\{0,\,1,\,2,\,3,\,4,\,5,\,6,\,7,\,8,\,9\}$, the set of digits in our decimal system, and $\displaystyle A\,=\,\{0,\,1,\,2,\,3,\,4,\,5\}$, $\displaystyle B\,=\,\{2,\,3,\,4,\,5,\}$, $\displaystyle C\,=\,\{4,\,5,\,6,\,7\}$...
  24. B

    MHB Operations on Sets: Explained & Examples

    please help me understand what my book says: If set A has only one element a, then $\displaystyle A\,x\,B\,=\, \{\left(a,\, b\right)\,|\,b\,\epsilon\,B\}$, then there is exactly one such element for each element from B. can you explain what it means and give some examples. thanks! :)
  25. F

    MHB Algebra rearranging operations help

    How does this formula SPI = EV / PV rearrange to this formula EV = SPI * PV Why does the operation change from multiply to divide? Thanks for the help.
  26. S

    What are some simple non-associative binary operations?

    Suppose we are given a binary operation on a finite set of abstract symbols in terms of a multiplication table such as: \begin{array}{c|ccc} * & A & B & C \\ \hline A & A & B & C \\ B & B & A & B \\ C & C & B & A \\ \end{array} Suppose we want to represent the operation in some...
  27. T

    MHB Proving operations of congruence modulo m

    If a, b and m > 0 are integers such that a % b (mod m), then a^n % b^n (mod m) for all positive integers n. I don't know how to go about it, any help would be greatly appreciated.
  28. G

    You can't do operations on infinity

    I'm trying to get my words right. They say you can't do operations on infinity. Sorry I don't have an exact quote. But on the other hand you can do calculations involving infinite series. What is the proper way to describe what math can't do with infinity? I want to say something along...
  29. E

    Do MPI collective operations involve multiple hops?

    Consider the reduce operation for example. Do all nodes send data directly to the root? Or is there some structure where a node will receive data from a few other nodes, perform a reduction, then pass the intermediate results to other nodes?
  30. Link

    Engineering R&D or Operations Management as career path for engineer?

    I have gained a place on the graduate rotational leadership programme at a major heavy industrial company which involves me going to different divisions to lead projects. I have been given a choice of either going down the R&D path or the Operations Management path. Being an engineer from a top...
  31. B

    Operations on both sides of an equation

    What allows you to add the same quantity to both sides of an equation? Is this an axiom? A property of addition by which addition is defined? Or both? What about for multiplication? If you differentiate both sides of an equation, the resulting equation will be valid, provided both sides of...
  32. S

    Perl: Operations (Multiplication/Addition) of Matrices

    I'm trying to figure out how to multiply and add square (3 X 3) matrices with Perl (without PDL) in which each matrix is in a separate file, but I haven't been making any progress. I'm a Perl beginner, so does anyone have any suggestions for examples/resources that may help me? Thanks.
  33. O

    Ternary Operations outside of coding?

    I use the ternary operation in web development all the time, eg: x = y > z ? a : b Which reads, if x > y then a, otherwise b I realize that it is just a shorthand for if...else statements, but even still, are there any mathematical properties associated with it? I know inequalities have...
  34. P

    Determine A−1 (Elementary Row Operations)

    1. Solve the matrix using elementary row operations 2. {3, 1, 4 1, 4, 3 4, 3, 1} 3. I keep trying to solve this, but I keep getting odd numbers, can someone help?
  35. A

    Matrix operations in a general physics problem

    Homework Statement A lemming marches off an ice berg, falling directly downward from a height of 12.40 meters. 0.10 seconds later, he is 9.151 meters above the ocean below. 0.20 seconds this altitude is reduced to 5.804 meters, and at 0.30 seconds he as fallen to 2.359 meters above the...
  36. B

    Order of operations in boolean algebra

    I have a rather technical question in boolean algebra to which I was not able to find an answer. What is the order of operations in boolean algebra? Is it first logical NOT, logical AND, logical OR, and finally logical XOR? Correct me if I am wrong. BiP
  37. R

    What is the difference between functions and operations?

    This question is fairly simple: what is the difference between functions and operations. Both seem to have inputs and outputs. Both can input/output scalars, vectors, functions, functionals, etc. I think the sticking point might be mapping, but I'm not sure. E.g. f=a+b vs. f(x,y)=x+y
  38. E

    Vector Operations: Solving Gradient, Divergence, Curl and Laplacian Problems

    Homework Statement $$ \overrightarrow {F}=3xz^{2}i+2xyj-x^{2}k $$ $$\phi =3x^{2}-yz $$ are given vector and scalar fields, respectively. a) $$\quad \operatorname{div}\left( \operatorname{grad}\phi \operatorname{div}\overrightarrow {F}\right) =\quad? $$ b) $$\quad...
  39. trollcast

    Number of operations required to reach value.

    Homework Statement Given a limited set of operators, specifically increment and bitshift left (only 1 bit at a time) Calculate the number of operations required to get from a certain number to another. Eg. 9 to 20 = 2 [(9++)LSHIFT] Homework Equations The Attempt at a Solution I...
  40. A

    What is a more efficient way to perform bitwise operations in Python?

    I'm playing around in Python at the moment, and I came across an exercise to perform bitwise operations manually (without the built in & | ^ ~ operators). I understand the operations on paper, and I have a function here that performs them (& in this case, the others are similar): def...
  41. D

    Complex operations, bra-ket notation, confusion

    Sorry for disregarding the template; I'm not really working out a homework problem as much as just trying to follow the reasoning in the text. I'm working through the first chapter of Quantum Mechanics, McIntyre, and I'm a little bit confused by the following. The text introduces bra-ket...
  42. G

    Gear Logical Operations - What Can Gears Do?

    Hello all. Just a quick question about logical operations gears can preform. I know if you have a large gear turn a small gear, the center of the small gear will spin faster than the large. But are there any other logic operations that gears can preform? Thank you for viewing.
  43. D

    Executing Arithmetic Operations w/ 6-Bit Binary Numbers

    Homework Statement Execute the arithmetic operations using 6-bit binary numbers in 2's complement representation. 18+11 (just going to list this first task) Homework Equations To convert from regular binary number, from LSB, do not invert initial o's, or first 1, but invert all other...
  44. D

    Operations over infinite decimals numbers

    Hello, i would like to ask the following question that has been troubling me. lets say i have 1/3 = 0.33333333333(3) it may seem clear that 1/3 - 1/3 = 0, but when operating over the decimals this doesn't seem clear. How can i perform an operation over infinite digits and consider it as...
  45. W

    Understanding the Limsup Operation in Set Theory

    Sorry if the title of my question is wrong, lim sup_n A_n = ∩^∞ U^∞ A_k does it mean that first we are taking the union of A_n and then we are taking intersection? actually I am confused, what is it actually?
  46. J

    Discrete Mathematics - Operations with sets

    I apologize for the repost, but I had no replies to my previous post. I figured that I didn't put down a good enough attempt of a solution. I will try to explain what I did in more detail. I have read the rules for the forum, but if I'm still doing something wrong, please tell me. I want to...
  47. O

    MHB Notation for Element-Wise Matrix Operations

    Hello everyone! Is there a conventional notation for some common arithmetic operations, like element-wise product, or element-wise power? Thanks!
  48. manjuvenamma

    Order of operations - parenetheses

    Is there a better/different way of indicating the order of operations in a mathematical expression - other than using parentheses?
  49. C

    How do I isolate S in this Matrix and Vector Equation?

    Hey guys, I would need to isolate S (solve for S knowing all other terms) in this equation made of Matrix (B, I and S), of vector (x and y) and of constant &. x = - ([(B-I)S -(I/&)]^-1) (y/&) Someone could help me? Chepa
  50. E

    Min and max in order of operations

    hi, i was unfortunately unable to find any information about the order of operations in which to apply min and max. (or is it just common knowledge for everyone except me?) consider min_{i \in I}max_{j \in J} (set of elements with indices i \in I and j \in J) (actually, this is from...
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