Division Definition and 469 Threads

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)...

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...

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...

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}}}

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...

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?

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...

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

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...

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 )...

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...

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...

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?

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

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 =...

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.

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)...

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...

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...

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?

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...

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

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...

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...

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

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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'...

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...

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

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...

Here's the problem I have to do: Let f(x)= x^3 -7x^2 +17x-15 One zero of f(x) is K=2-i find all others and write f(x) in a factored form. I ended up getting: f(x)= x^2 -x+2 Is this correct? Thanks

Homework Statement x^2-x-13/(x^2+7)(x-2) hello i am having trouble solving this problem.. could anyone please show me how to do this step by step? i know polynomial long division is required before it can be converted to partial fractions. I also know the answer is 2x+3/x^2+7 - 1/x-2...

Not sure when this problem in my book says to calculate by long division the series 1/(1+x) = 1 - x + x^2 - x^3 + ..., and then integrating termwise between 0 and x. I am really rusty on these types of problems and need help understanding how to even begin T.T. Thanks for the help.

I'm trying to list the cosets of the following ring and describe the relations that hold between these cosets. R=Z_4[x]/((x^2+1)*Z_4[x]) I'm using the division algorithm since x^2+1 is monic in the ring Z_4[x].Now for every f that belongs to Z_4[x] by the division algorithm...

I am trying to solve the following problem: $$(\sqrt{x} + \delta)/x$$ Using long division, I get: $$\sqrt{x}$$ On top and I end up with $$-\delta\sqrt{x}$$ On the bottom and am unsure how to proceed from there? I'm sorry I can't write out all my work out as I'm not sure how I could...

What is the difference between lower division linear algebra and upper division linear algebra?

"Weirdness" of polynomial long division algorithm Hello. So, i just started to learn about the polynomial long division. As an introductory example, the book presents the long division of natural numbers, claiming that its basically the same thing. The example: 8096:23 Solution...

Hey guys, I'm an electrical engineering student with a strong interest in physics. I would like to work through classical mechanics, E&M, and thermodynamics books. I'm not sure if there's another subject that is usually covered in classical physics (perhaps waves/optics?) but if so, I'd like...

Hi. i wonder how come one doesn't divide with (n-1) when finding the sample mean variance. Homework Equations Shouldn't I divide with n -1 since it is samples i am dealing with? The Attempt at a Solution I don't really have any idea as to why the book uses n. I have googled but...

Homework Statement The problem is about solving the homogenous differential equation (x2 + y2)dx + (x2 - xy)dy = 0 using substitution, in this case y=ux. This is the example they go through in the textbook (A First Course in Differentia Equations with Modeling Applications, 9th Edition, Zill...

Homework Statement On the morning of September 30, 1982 the won lost records of the three leading baseball teams in the Western Division of the National league were: Braves Won: 87 Lost:72 Giants Won: 86 Lost: 73 Dodgers Won: 86 Lost: 73 Each team had 3 games...