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.

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  1. Z

    Total derivative to partial derivative by division? (Calc./Thermo.)

    I don't understand the calculus behind this thermodynamics concept: S = f(T,P) dS = (∂S/∂T)_P*dT + (∂S/∂P)_T*dP (∂S/∂T)_V = (∂S/∂T)_P + (∂S/∂P)_T*(∂P/∂T)_V Basically, I don't get why and how you get (∂S/∂T) when you divide dS by dT. Also, I don't understand why the constant volume...
  2. S

    Programs Transition from lower division to upper division as a physics major

    I'm finishing up my 2nd year of college at a local CC transferring to university in the Fall working on a BS in astrophysics and math minor. I've worked out my schedule so far for the next 3 years (taking an extra year due to some general ed's not transferring) and it looks like for all but my...
  3. E

    Frequency Division Multiplexing - Mastergroup 3 - Topic on telecomms

    Frequency Division Multiplexing - "Mastergroup 3" - Topic on telecomms Homework Statement What is the frequency output of the mastergroup combining network for a signal of 552kHz to be translated using mastergroup 3?Homework Equations Mastergroup Spectrum: For AT&T = 564 - 3084 kHz For ITU-T =...
  4. MarkFL

    MHB Gabriel's question at Yahoo Answers regarding polynomial division and remainders

    Here is the question: Here is a link to the question: The remainder of f(x)/(x^2+x+1) and f(x)/[(x+1)^2] are x+5 and x-1 respectively.? - Yahoo! Answers I have posted a link there to this topic so the OP can find my response.
  5. F

    Modulo 2 long division attempts

    Hello, could someone please confirm if have done the modulo 2 division in order to find the CRC code word for these two correctly. 1) using the CRC polynominal 1011, for the information word 0101 1001 (attached image 1 is my attempt) 2) using the CRC polynominal 1101, for the information word...
  6. F

    Modulo 2 Long Division: A Guide

    Hello, I am trying to understand the following modulo 2 long division. I understand that 1101 goes into 1111, so you write a 1 on the top. The next stage after 'XOR'ing is to bring down the 1. Now, 1101 does not go into 101, so you write a 0 at the top. So far so so good. Now you bring down...
  7. A

    Voltage Division for AC Circuits: Why Isn't My Calculation Working?

    Homework Statement Hi, We have this cut. : and in the image below, I10 is calculated by using current division : The Attempt at a Solution I tried to find it using voltage division but the answer is wrong : Vx(of the upper node) = 100 * \frac{j5}{4+j5} = 60.98 + j48.78 V => I10 =...
  8. C

    Maximizing Integration Efficiency: Long Division vs Partial Fractions

    Homework Statement ∫(2x+1)/(x²+2x+1)(x²+x+1) Homework Equations none The Attempt at a Solution I've foiled this out to look like: ∫(2x+1)/(x^4+3x³+4x²+3x+1) I'm trying long division here but it's getting really ugly really fast. Should I foil this out in the first place or...
  9. B

    Why does polynomial long division work?

    So I'm in a college algebra class and I know how to do polynomial long division. I'm curious as to why polynomial long division works. I've looked at some proofs, but they use scary symbols that I don't understand (I am quite dumb). Do I need very high-level math to comprehend why polynomial...
  10. T

    Voltage Division with Multiple Voltage Sources Seperated by Resistors

    Homework Statement Find the voltage across the 10 ohm resistor. http://www.spacemonkeybrewing.com/images/circuit.jpg Homework Equations KVL - Sum of Voltages in a closed loop equal zero. Ohms - V=IR Voltage Divide - Va1 = (R1/(R1+R2...))Vs The Attempt at a Solution This is only...
  11. C

    Use voltage divison and current division to find

    Homework Statement http://img526.imageshack.us/img526/8817/homeworkprob9.jpg Find Io, find V, find Vo Homework Equations V = IR And if these are right: Voltage division: (voltage across series resistor) = [ (resistance)/(total series resistance) ](total input V)...
  12. S

    Division Algorithm proof explanation

    This is taken from "Passage to Abstract Mathematics," Watkins and Meyer. "Theorem 2.3.9 (Division Algorithm) If a \in\mathbb{Z} and b\in\mathbb{N}, then there exist q,r \in\mathbb{Z} such that a = qb+r and 0 \leq r < b. Furthermore, for each b\in\mathbb{N}, this representation of a is unique...
  13. B

    Avoiding division absurdities.

    How do people end with .9r? Apart from trying to derive square root of numbers using Newton's method, the biggest culprit is how we employ the authorised order of operation in mathematics i.e. BODMAS, PENDMAS e.t.c. Specificaly where we place the quantities. I saw an equation being used to...
  14. R

    Metric Tensor Division: Is It Proper?

    If you know that {{x}^{a}}{{g}_{ab}}={{x}_{b}} is it proper to say that you also know {{g}_{ab}}=\frac{{{x}_{b}}}{{{x}^{a}}}
  15. R

    Novel Multiplication and Division by odd squares

    let A_i be an odd integer, s_i be the square of a_i and t_i be the triangular number, (s_i -1)/8. Same for a_j , s_j, t_j, etc. Define Multiplication of n X A_i , etc to be n * s_i - t_j and division to be the reverse of this process. I found that n X A_i X A_j X A_k = n X A_k X A_j X...
  16. C

    [Basic question] What is the 'physical' explanation of a division by a fraction?

    For example, dividing by 2, means we cut something in two. But dividing by 0.5, can only be explained with multiplying something by 2. So, is there a "physical" explanation of dividing by 0.5? Is it "I divide by an entity that internally multiplies' or something as so bizarre?
  17. D

    Question about voltage division

    Hi all I have this Maxitonix 500-1 lab thing which I bought years ago and never got around to doing anything with it until this year. Now it has a breadboard and along the top, six different supply rails labelled V1 - V6. Each ones goes up in 1.5V increments from 1.5V to 9V. I'm just...
  18. A

    Engineering How are upper division Engineering courses like?

    How are upper division Engineering courses like? Are they harder compared to lower division ones? Does almost every one of the upper division engineering courses include group projects? Are the upper division courses more time consuming than the lower division ones? Thanks
  19. J

    What is the recommended textbook for upper division EM at community college?

    My community college physics instructor thought a certain textbook would be a good supplement to Lorrain and Corson's Fundamentals of Electromagnetic Phenomena. I was looking at something at the time and didn't pay enough attention, so now I don't remember exactly any of the authors, although I...
  20. Z

    Fortran [FORTRAN] Division by zero allowed?

    Hi, I have an issue where I am squaring a very small complex number 1e-20 (FALFA2) which seems to make the value zero (both the real and imag part) and then dividing by it, the problem line is (all the numbers are complex): GALFA = ( FBETA * FAA / FALFA2 ) - ( FAB / FALFA )...
  21. onomatomanic

    Division of hunting roles arising from sexual dimorphisms - plausible?

    Lyons (from lynx + lion), in my world, are mid-sized (20-40 kg) feliform predators. They live and hunt in groups called prydes (obviously), and are large-prey specialists. The principal prey species are ellefants, which are miniature mammoths (about an ell tall, thus the name), and deer, which...
  22. C

    Engineering Find unknown current in circuit, voltage division law

    Homework Statement Determine ( I L ) in the following circuit (the current "above" the 3 kΩ resistor). http://imageshack.us/a/img31/1530/circuits215.jpg Homework Equations Voltage division law V (for series resistor) = (V in) * [ (resistor)(total series resistance) ] Kirchoff's rules: I...
  23. L

    Integer part of the output of a division

    hello there! i need to get the integer part of the output of a division in MATLab i.e. 23/5=4 (and the remainder is 3) what function should i use?
  24. F

    MHB Understanding Binary Long Division: Finding Zero Quotient Digits

    binary long division - updated with actual example Basically what I'm asking is when is a digit in the quotient 0? This is from an exercise where I'm supposed to fill in the boxes. I don't understand how they completed the parts that are given to me. Why is the first number 1 when 1111>1010
  25. Q

    Engineering Circuit with Series and parallel resistors, voltage division rule

    Homework Statement Given: The power absorbed by the 15 ohm resistor is 15 W. Find R. http://sphotos-a.xx.fbcdn.net/hphotos-snc7/384382_495043340515186_1992745410_n.jpg Homework Equations parallel circuit for 2 resistor: Req =R1R2/ R1+R2 Voltage Division Rule: for series circuit VR2 =...
  26. P

    Simple Proof That Division By Zero Is Impossible

    x / y = z, so z * y = x 1 / 0 = x, so x * 0 = 1 But 0 does not equal 1, so x / 0 is unsolvable. Oh, and I'm new to forums so if this shouldn't be here you can delete it.
  27. P

    Long Division and how 1/2=0.5

    I understood the logic behind long division which many teachers don't make any student understand! For example if I have 1506/2 then 1506 can be written as 1000+500+00+6 and then we can determine how many 'twos' are there in 1000,500,00 and 6. That gives us an answer of 500+250+0+3=753. 1)...
  28. C

    Surds - Division & rationalising

    Homework Statement simplify 5√20 / 5√15 Homework Equations express your answer as a surd The Attempt at a Solution Looking for someone to check my work 1. multiply (5√20)/(2√15) by (√15/√15) 2. Above gives (5√300)/30 3. Simplify the topline to 5 √100 x √3 4. answer (50√3) / 30 I...
  29. S

    Understanding Division in Index Notation

    Hello everyone, Recently I started to use index notation, but still the division is not clear for me. I'll mention just some simple examples that I'm not sure about: Does a =\frac{1}{b_i} mean that a = \sum_{i=1}^{3}\frac{1}{b_i} or a = 1 / \sum_{i = 1}^{3}b_i ? Similarly, does a_i...
  30. D

    Why is Division harder than Multiplication?

    An example: Both conceptually and computationally it is easier to see that 2.5 * 5.2 = 13 than it is to see 13 / 5.2 = 2.5 In programming too: division loops take more CPU resources than multiplication loops. Why is this?
  31. N

    Calculating V0 using Voltage and Current Division

    Homework Statement http://i.imgur.com/XbMaK.png Use voltage and current division to determine V_{0} in the circuit given that V_{out} = 0.2V. Homework Equations v_{i} = \frac{R_{i}}{R_{eq}} * v_{s} i_{n} = \frac{R_{eq}}{R_{n}} * i_{s} The Attempt at a Solution I got \frac{236}{23} for the...
  32. S

    Struggling with Division? Here's How to Solve It!

    How do I solve this? :eek: [attached the image of question :)]
  33. A

    Interference by amplitude division (double reflection) for wedges

    Homework Statement Transparent wax of refractive index n=1.3 is deposited on top of a glass plate of width 1cm and refractive index n=1.5. The thickness of the wax is 0.01mm at one end of the plate and tapers uniformly to zero at the other end of the plate, which is defined to be at x=0. At...
  34. P

    Horizontal Asymptote by Long Division?

    Homework Statement Find the horizontal asymptote Homework Equations The Attempt at a Solution There are two ways I did this problem. One way seems to be a coincidence and the other the "proper way" 1. I used long division, and got 2+(9x-3)/(x^2-2x) 2 seems to be the horizontal asymptote...
  35. S

    Division By Zero: Why Do People Call it Infinity?

    In most cases division be zero ends up with not defined , but why do people sometimes call it infinity ?
  36. A

    Algorithms for infinite geometric series via long division?

    Algorithms for infinite geometric series via long division?? I can't seem to find any algorithms for this on the internet easily. If I have a function of the form f(x)=\frac{a}{x+b} there should be an algorithm I can use to find some terms of the corresponding series \sum...
  37. F

    Upper Division Preparation - Transfer Student

    Hello all I currently attend a California community college where I am preparing to transfer to a University of California campus - hopefully Berkeley - to study physics. I've had no difficulty in my lower division math and physics courses (calculus, differential equations, linear algebra...
  38. srfriggen

    Use of Division Algorithm word problem

    Homework Statement In Florida, the fourth and fifth digits from the end of a driver's license number give the year of birth. The last three digits for a male with birth month m and date b are represented by 40(m-1)+b. Determine the dates of birth of people who have last five digits 42218 and...
  39. T

    Best upper division undergrad physics books for self-study?

    I'm currently working on Mary L Boas "Mathematical methods for the physical sciences", which I've been told cover almost all of the mathematics needed to follow undergrad physics books. I'm about halfway done, and I'd like to start looking for physics books. The only reason why I started...
  40. M

    Division Algorithm: Proving 24 Does Not Divide a² - 1

    1. My difficulty is to show that if a is an integer such that 2 does not divide a and 3 does not divide a then 24 does not divide a squared minus 1 2.Is there any equation which helps? 3. My idea is that it has to be an integer such that 6 does not divide a...therefore i have to show...
  41. T

    Programs Calculus Checklist for Upper Division Physics Major

    Returning Physics Major (hopeful) needing a Calculus "checklist" for Upper Division. Hello everyone, currently I've been out of school for roughly two years now. As the title suggest I'm a Physics major going into my first year of upper division. The first ourse is a "Intro to Math Methods in...
  42. L

    MHB Can Division Even Be Allowed In Math If It's Flawed?

    How can division even be allowed in math if it sometimes leads to absurdities? For example divisions that generate a series which is obviously untrue for values that are allowed in the original equation. Seems to make the entire process questionable, even allowing for "range of convergence" etc...
  43. L

    What's a good order to take upper division math classes?

    Good afternoon everyone, I'll be starting my trek into upper division mathematics next year (applied math major) and since the perquisites are essentially just multivariable calculus and linear differential equations, I can pretty much take them in any order. However, I know that I should...
  44. K

    Theory of numbers (Division)

    Well the standard division theorem says, a = bq +r where, 0 <= r < b after that we were introduced with r = b - r\acute{} r\acute{} having the same domain as that of r after that the theorem changes to a = b(q+1) - r\acute{} Solving it with r\acute{}= b-r, gives us the standard equation...
  45. J

    How Frequency Division Multiplexing works

    I know that FDM actually uses a division of total frequency of the carrier channel to separate into several smaller frequency channels. I want to know that whether these small channels are actually having their own waves over the communication medium or the carrier wave is modulated in such a...
  46. johann1301

    Rounded Division: Finding the Nearest Whole Number in Math

    If we take 12 and DIVIDE it by 7 we get about 1,714… But is there a mathematical operator/symbol similar to DIVISION witch rounds the answer to the lowest whole number? In this case; one and the opposite: Is there a mathematical operator/symbol similar to DIVISION witch rounds the...
  47. F

    Knowledge of division & fractions indicates math success

    I've seen handouts that get distributed at the beginning of first-year calculus courses spelling out the rules of adding & multiplying fractions (among other things), and all the mistakes that are made by students coming out of high school. I think that was mostly based on instructors'...
  48. D

    Theorem on Division by a Prime

    Homework Statement I am working my way through the Theorem on Division by a Prime. "Let p be a prime number.Then for all integers x and y, if p divides xy, then p divides x or p divides y. The proof is being done by complete induction. Proof. Let x be a whole number p a prime numberk and y be...
  49. S

    MHB Synthetic Division P(x)|2+3i= 0

    P(x)= x^4-4x^3+10x^2+12x-39, using synthetic division given 2+3i is a zero of function
  50. T

    Non-restoring division of binary numbers

    I'm trying to divide 1011001 / 10 using the non-restoring division method. This is what i get: http://prntscr.com/8aecs . The remainder is not correct(it should be 0001 and I'm getting a 0111) and I'm wondering where is the mistake.. I've checked about 10 times and i don't see the problem. Can...
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