What is Division: Definition and 486 Discussions

A division is a large military unit or formation, usually consisting of between 6,000 and 25,000 soldiers.
In most armies, a division is composed of several regiments or brigades; in turn, several divisions typically make up a corps. Historically, the division has been the default combined arms unit capable of independent operations. Smaller combined arms units, such as the American regimental combat team (RCT) during World War II, were used when conditions favored them. In recent times, modern Western militaries have begun adopting the smaller brigade combat team (similar to the RCT) as the default combined arms unit, with the division they belong to being less important.
While the focus of this article is on army divisions, in naval usage, "division" has a completely different meaning, referring to either an administrative/functional sub-unit of a department (e.g., fire control division of the weapons department) aboard naval and coast guard ships, shore commands, and in naval aviation units (including navy, marine corps, and coast guard aviation), to a sub-unit of several ships within a flotilla or squadron, or to two or three sections of aircraft operating under a designated division leader. Some languages, like Russian, Serbian, Croatian and Polish, also use a similar word, divizion/divizijun/dywizjon, for a battalion-size artillery or cavalry unit.

View More On Wikipedia.org
Recent contents Top users
  1. TheKracken5

    Programs Best upper division Math for an EE major

    So I just changed my major from Math to EE this semester and I really would like to continue taking some math. I have completed the entire Calc 1-3, LA, DEQ's, and a intro stats course. I only need 1 more course for a math minor. (intro proofs won't count for this though). My university doesn't...
  2. Math Amateur

    MHB Division Rings and RIng Homomorphisms .... A&W Corollary 2.4 ....

    I am reading "Algebra: An Approach via Module Theory" by William A. Adkins and Steven H. Weintraub ... I am currently focused on Chapter 2: Rings ... I need help with an aspect of the proof of Corollary 2.4 ... ... Corollary 2.4 and its proof read as follows: In the above proof of Corollary...
  3. Math Amateur

    I Division Rings & Ring Homomorphisms .... A&W Corollary 2.4 ...

    I am reading "Algebra: An Approach via Module Theory" by William A. Adkins and Steven H. Weintraub ... I am currently focused on Chapter 2: Rings ... I need help with an aspect of the proof of Corollary 2.4 ... ... Corollary 2.4 and its proof read as follows: In the above proof of...
  4. F

    B Vector Math: Adding, Subtracting & Division

    As far as I know, vectors can only be added, subtracted, or “multiplied” by dot or cross product. Does this mean that you couldn’t divide f-> by a-> to get m using the vector form of Newton’s second law? This would require dividing a vector by a vector, which seems to not be allowed.
  5. N

    Admissions Upper Division Physics Courses: Adv. E&M and Theoretical Mechanics

    I am starting my senior year this spring semester. I have been looking at Applicant Profiles and Admission Results on physicsGre forum, and it honestly made me a bit depressed and anxious. I am an international student at a large state school known for its physics program. I have no research...
  6. S

    B Remainder of polynomial division

    Is this true? If the remainder of f(x) / g(x) is a (where a is constant), then the remainder of (f(x))n / g(x) is an I don't know how to be sure whether it is correct or wrong. I just did several examples and it works. Thanks
  7. Ashish Shukla

    B What are multiplication and division?

    Hey, I have often times wondered what is multiplication? Repeated addition is OK but for some reason it doesn't satisfy me. For example: 2*2cm is linear because it scales 2cm on the same dimension but 2cm*3cm is not scaling, it spans 2 dimensions. It seems as if the flow of operation takes a 90...
  8. O

    Courses What upper division undergrad courses for CS?

    Hey everyone, The Short Story: I need to choose 5 classes from the below list that will make me marketable after graduation aside from an internship. The Long Story: I'll be entering my final semesters this coming year. I, mostly, have only electives left. I have to take at least 5 courses...
  9. M

    MHB Question about roots/synthetic division

    According to the synthetic division done below, what was the original polynomial and what number do we know is a root of that polynomial? Explain how you know to receive full points. I know what the polynomial is, but I thought the root of this polynomial would be 1 but it's actually -1 could...
  10. S

    Upper & Lower Bounds Real Zeros-Polynomial Division, Proofs?

    Homework Statement Upper Bound[/B] If all of the numbers in the final line of the synthetic division tableau are non-positive, prove for ##f(b)<0##, no real number ##b > c## can be a zero of ##f## Lower Bound To prove the lower bound part of the theorem, note that a lower bound for the...
  11. V

    Reed Solomon Division: Understanding M(x) & G(x) Division

    Hi, I am looking into Reed Solomon codewords and I am looking at this paper. On page 16 the author divides M(x) by G(x) I am struggling to see how he has arrived at 14501 with a remainder of 63. Would someone be able explain what he did?
  12. M

    I Polynomial Division: Solve with Mike's Help!

    Hello everyone. Iam working on a course in digital control systems and by reading my textbook I stumbled over this expression. C(z) = 0.3678z + 0.2644 : z^2 − 1.3678z + 0.3678 = 0.3678z^−1 + 0.7675z^−2 + 0.9145z^−3 + ... Now Iam wondering how the result of the polynomial division is...
  13. V

    Can anyone me with this division and remainder problem?

    Is there any chance someone can help me solve this? Music teacher with absolutely no idea how to solve this. Thanl you so much. ? w!81 = 26r3 (the goal is to find the first number, and explain how you figured it out)
  14. J

    IEEE Floating Divison: Is Result Guaranteed?

    Hi, First of all, if this is wrong forum, I apologize; please direct me to the correct one. I have 4 * 8-byte integers, representing 2 rational numbers (i.e. 2 pairs of a nominator & a denominator). The 2 rational numbers have the same mathematical value, but different nominator & denominator...
  15. M

    MHB Why is dividing by zero impossible in math?

    We know division by zero is not possible but what is the math reason why it is impossible to divide by zero?
  16. K

    Current division in a series-parallel circuit

    Homework Statement Determine the current through each circuit element Homework Equations V = IR (Ohm's Law), The Attempt at a Solution I1 is .06A after plugging 6V and 100 ohms into V = IR, but I can't figure out the rest, because I don't know how the current splits. The left path obviously...
  17. J

    Frequency Division Multiplexing in Telephone

    "A standard FDM scheme for telephone signals is to multiplex 12 voice channels, each occupying 4kHz bandwidth, into a group signal with 48kHz. The next basic building block is the 60-channel supergroup, which is formed by frequency division multiplexing five group signals. The next level of the...
  18. W

    Mole balance issue with volume division

    Homework Statement Here we divide the mole balance by the volume ##4*\pi## ##*## r2##*##dr and take lim as dr->0(standard procedure) 1) How exactly he makes the transition from equation from 6 to 7? Exercise #2(see below please) Solution for Problem#2 2)Why does he divide here by...
  19. I

    I Can Division by Zero Be Solved in Mathematics?

    First of all, I didn't know where to put this in general math or differential equations. Let's start with the basic, x/0 = α. Where α is every number and decimal number from -∞ to +∞, by rearranging, we get x = 0α, x= 0, therefore only 0/0 = α. Now, we can integrate this with graphs. Take the...
  20. binbagsss

    Laurent series by long division of trig function

    Homework Statement Hi I am trying to understand this http://math.stackexchange.com/questions/341406/how-do-i-obtain-the-laurent-series-for-fz-frac-1-cosz4-1-about-0 So the long division yields...
  21. D

    MHB Calculate Sphere Volume Using (4.0/3.0) Division

    Given sphereRadius and piVal, compute the volume of a sphere and assign to sphereVolume. Use (4.0 / 3.0) to perform floating-point division, instead of (4 / 3) which performs integer division. public class SphereVolumeCalculator { public static void main (String [] args) { double piVal...
  22. ntran26

    A Inversion of Division of Bessel Functions in Laplace Domain?

    Hello all, I am trying to take the inversion of this function that is in Laplace domain. I've tried using a wolfram alpha solver, and I know I can probably use stehfest algorithm to numerically solve it but wanted to know if there was an exact solution. the function is...
  23. H

    Solid State Upper division resources in CMT

    Hi everyone. I'll start my master's degree in physics next year. My plan is to continue my studies in theoretical condensed matter physics. So I've decided to increase my knowledge in this area. In my undergrad I took some courses like Intro. to QFT and Many-Body physics. Also I have studied...
  24. AD MCFC

    Studying Review for Upper Division Class Mechanics course?

    Hello, I will take Classical Mechanics I (upper division) course fall of 2017. I have not seen Mechanics material since fall of 2014 and would like suggestions on how to review the concepts prior to taking the class. I was pretty good in that class and do not need to "re-learn" anything per...
  25. Z

    Subtraction and division problem: volume of 3 balls in cylinder

    Homework Statement Three identical balls fit snugly into a cylindrical can: the radius of spheres equals the radius of can, and the balls just touch the bottom and the top of the can, If the formula for the volume of a sphere is V = 4/3 PI * radius * radius * radius, what fraction of the...
  26. Math Amateur

    MHB N-Dimensional Real Division Algebras

    I am reading Matej Bresar's book, "Introduction to Noncommutative Algebra" and am currently focussed on Chapter 1: Finite Dimensional Division Algebras ... ... I need help with understanding some remarks that Matej Bresar makes in Chapter 1 ... The relevant text is as follows: My...
  27. Math Amateur

    I N-Dimensional Real Division Algebras

    I am reading Matej Bresar's book, "Introduction to Noncommutative Algebra" and am currently focussed on Chapter 1: Finite Dimensional Division Algebras ... ... I need help with understanding some remarks that Matej Bresar makes in Chapter 1 ... The relevant text is as follows: My questions...
  28. Math Amateur

    MHB Bresar, Lemma 1.3 - Finite Division Algebras .... real quaternions ....

    I am reading Matej Bresar's book, "Introduction to Noncommutative Algebra" and am currently focussed on Chapter 1: Finite Dimensional Division Algebras ... ... I need help with some aspects of the proof of Lemma 1.3 ... ... Lemma 1.3 reads as follows...
  29. Math Amateur

    I Bresar, Lemma 1.3 - Real Quaternions .... Division Algebras

    I am reading Matej Bresar's book, "Introduction to Noncommutative Algebra" and am currently focussed on Chapter 1: Finite Dimensional Division Algebras ... ... I need help with some aspects of the proof of Lemma 1.3 ... ... Lemma 1.3 reads as follows: In the above text by Matej Bresar we read...
  30. Math Amateur

    MHB Bresar, Lemma 1.2 - Finite Division Algebras ....

    I am reading Matej Bresar's book, "Introduction to Noncommutative Algebra" and am currently focussed on Chapter 1: Finite Dimensional Division Algebras ... ... I need help with some aspects of the proof of Lemma 1.2 ... ... Lemma 1.2 reads as follows...
  31. Math Amateur

    I Bresar, Lemma 1.2 - Finite Division Algebras ....

    I am reading Matej Bresar's book, "Introduction to Noncommutative Algebra" and am currently focussed on Chapter 1: Finite Dimensional Division Algebras ... ... I need help with some aspects of the proof of Lemma 1.2 ... ... Lemma 1.2 reads as follows: My questions related to the above proof...
  32. Math Amateur

    MHB Another Question Regarding Finite Dimensional Division Algebras - Bresar Lemma 1.1

    I am reading Matej Bresar's book, "Introduction to Noncommutative Algebra" and am currently focussed on Chapter 1: Finite Dimensional Division Algebras ... ... I need help with another aspect of the proof of Lemma 1.1 ... ... Lemma 1.1 reads as follows: My questions regarding Bresar's proof...
  33. Math Amateur

    I Another Question about Finite Dimensional Division Algebras ....

    I am reading Matej Bresar's book, "Introduction to Noncommutative Algebra" and am currently focussed on Chapter 1: Finite Dimensional Division Algebras ... ... I need help with another aspect of the proof of Lemma 1.1 ... ... Lemma 1.1 reads as follows: My questions regarding Bresar's proof...
  34. Math Amateur

    MHB Finite Dimensional Division Algebras - Bresar Lemma 1.1

    I am reading Matej Bresar's book, "Introduction to Noncommutative Algebra" and am currently focussed on Chapter 1: Finite Dimensional Division Algebras ... ... I need help with the an aspect of the proof of Lemma 1.1 ... ... Lemma 1.1 reads as follows: In the above text, at the start of the...
  35. Math Amateur

    I Finite Dimensional Division Algebras - Bresar Lemma 1.1

    I am reading Matej Bresar's book, "Introduction to Noncommutative Algebra" and am currently focussed on Chapter 1: Finite Dimensional Division Algebras ... ... I need help with the an aspect of the proof of Lemma 1.1 ... ... Lemma 1.1 reads as follows: In the above text, at the start of the...
  36. Z

    Synthetic Division for Higher Order Polynomials

    Homework Statement So I thought I knew how to do synthetic division but ran into this problem 4a^4+4a^3-9a^2-4a+16 / (a^2-2) Homework EquationsThe Attempt at a Solution [/B] All the examples I can find don't have a second degree polynomial in the denominator. i.e. they are a-3 or a+2. How...
  37. timelesstrix0

    B Math contest division question

    The question is : If x > 0 and I divide x by y, the quotient is 3 and remainder is 7. If I divide y by x the remainder is 12. what is the value of x? So far I used long division quotient form to make 2 equations... 1. x/y = 3 + 7/y 2. y/x = Q(quotient) + 12/x so 1st equation i solve for y and...
  38. L

    I {a,-a,0} ∈ Z and inverse under division, plus notation Q

    {a,-a,0} ∈ Z For a set to have inverse under an operation, all elements must be able to be combined with another element of the set under that operation, after which the product of combination under said operation yields the identity element of that operation. My question is, this is a...
  39. FritoTaco

    Long Division and Remainder Theorem

    NO TEMPLATE BECAUSE MOVED FROM ANOTHER FORUM Hello, I've been trying to figure out how it works for complicated problems, I know how to use long division, but I'm not understanding how this process is done for a problem like I have. Instructions: Write the function in the form ƒ(x) = (x -...
  40. M

    I How to do division in modulus mode ?

    for example 100,539/2 in mod 1,000,007. is there a systematic procedure to calculate this ??
  41. kaliprasad

    MHB Polynomial Division: Finding Q(x) for P(x)$x^3$

    Let P(x) be a polynomial of x. Show that there exists a polynomial Q(x) such that P(x)Q(x) is a polynomial of $x^3$
  42. Math Amateur

    I Module Over a Division Ring - Blyth Theorem 1.1, Part 4

    I am reading T. S. Blyth's book "Module Theory: An Approach to Linear Algebra" ... ... and am currently focussed on Chapter 1: Modules, Vector Spaces and Algebras ... ... I need help with an aspect of Theorem 1.1 part 4 ... Theorem 1.1 in Blyth reads as follows: In the above text, in part 4...
  43. Math Amateur

    MHB Module Over a Division Ring - Blyth Theorem 1.1, Part 4

    I am reading T. S. Blyth's book "Module Theory: An Approach to Linear Algebra" ... ... and am currently focussed on Chapter 1: Modules, Vector Spaces and Algebras ... ... I need help with an aspect of Theorem 1.1 part 4 ... Theorem 1.1 in Blyth reads as follows:In the above text, in part 4 of...
  44. P

    B Meaning of physical quantities and division

    I read this interesting thread trying to find an answer to my questions (and I got even more confused). I study radiometry units in context of computer graphics. I have a few questions, starting from the basic ones: 1. Following AlexS's note, why is speed=distance/time and not distance*time? 2...
  45. jk22

    Can Oocyte Division Occur Without the Contribution of Sperm?

    If two oocytes are considered, does taking the nuclear material of one and transferring to the other's nucleus start the division of it ?
  46. A

    I Vector Division: An Explainer of Why It's Not Possible

    why is vector division not possible?
  47. L

    Help for excel, calculate division of colums by sums

    I have column from E5 -->E35 which contains values for each box. another column from F5-->F35 contains values for each box I have a sums column, H5-->H35,, which contains values for the sums between the E and F boxes (E5+F5=H5 ;;; E6+F6=H6 etc...) I want a division column inside J5-->J35 which...
  48. M

    MHB How can I divide a polynomial by (x+k) using synthetic division?

    i am trying to divide x^3+(1-k^2)x+k by (x+k) but i can't do this can you show me how to.
  49. kyphysics

    I Question About Long Division of Polynomials

    Dividend: 4x^3 - 6x - 11 Divisor: 2x - 4 In this problem above, the dividend lacks a variable to the second power, so we have to add a 0x^2 to make it: 4x^3 + 0x^2 - 6x - 11 Question: Why do we add 0x^n? (n = missing powers) In regular long division, we do no such thing. Why do we have...
  50. evinda

    MHB Result of Euclidean division

    Hello! (Wave) I have applied a lot of times the euclidean division of $x^6-1$ with $x^2- \alpha^{a+1} (\alpha+1)x+ \alpha^{2a+3}, a \geq 0$, $\alpha$ a primitive $6$-th root of unity. But I don't get the right result... (Sweating) We are over $\mathbb{F}_7$. I got that $x^6-1=(x^2-...
Back
Top