Division Definition and 486 Threads

I'm not sure at all how best to approach this problem. Basically, the application is for practicing mental arithmetic. Most of the features are pretty easy, with the exception of division, which is the topic here. I accept a minimum and maximum for the first and last numbers in the division...

There must be about the same number of upper division classes for this engineering major as there are lower division? It would seem? Ok, so, this link shows lower division classes for the major, it does not show upper, so these are the classes for an engineering B.S. (In other words, these...

Homework Statement It's a physics problem, where i have to evaluate the root-mean-square radius defined by the expression below. (First for a constant \rho, then for a "(r)dependent" \rho).Homework Equations (\int{_0}{^\infty} \rho r^4 dr / \int{_0}{^\infty} \rho r^2 dr) ^(1/2)The Attempt at a...

Homework Statement see attached for circuit from your result from part b, use voltage division to find the voltage drop across the 2k ohm resistor. my result from b was 250V part b question was voltage drop across 10K resistor Homework Equations The Attempt at a Solution R_T=5k...

I have been doing some homework on synthetic division today. Most of it is pretty straight forward, until I got to a problem with complex number I was able to solve the first problem (x^3 – 3x^2 + x – 3) / (x-i) By using +i for the ‘synthetic divisor constant’ (sorry don’t know the proper...

Hi there! I have been reading Apostol's "Calculus: Volume 1" and have been trying to prove a few theorems using specific field axioms(note that this is not a "homework" question since I have not been assigned it, but instead, chosen to attempt it out of curiosity). Although I am not a math...

Is it zero divided by zero even a division? According to some, it is not, because division would have three requirements: 1) That any quotient must be a number. 2) That any quotient multiplied by a divisor must give us a dividend, which presupposes that any quotient is a number. 3) That no...

Can anyone please explain to me how and why do restoring and non restoring algorithms for division work and please provide me with a correct flowchart for the non restoring division.

Hi guys, I am designing an OFDM system and then upconverted at 1 GHz. Now I have an idea of implementing TDM for this 1 GHz signal. Is it possible, please explain from theoretical point of view and if possible, please help from MATLAB perspective. Thank you very much,

Homework Statement Prove that for any a, b, c \inZ, if a l b (a divides b) and a does not divide c, then a does not divide b-c. Homework Equations The Attempt at a Solution Using the contrapositive: Prove that... if a l (b-c) then a does not divide b or a l c. 1. a l...

Homework Statement So we have just been learning limits which I understand, however there was one example which completely through me. It was regarding division by 0. We had just been learning the known limits such as lim x->infinity (1/x) = 0 which I understood, and how anything similar such...

Homework Statement I added an attachment... I am not understanding how they did this...

I have 2 matrices a=[1 2 3 4] and b=[1 4 9 16], i want to divide each term in matrix b by the same term in matrix a, in other words i want to end up with a matrix of [1 2 3 4]. Ive tried doing b/a, which clearly is wrong! Thanks for any help

Im given two polynomials: f(x) =(2x^6) + (x^5) - (3x^4) + (4x^3) + (x^2) -1 and g(x)=(x^3)-(x^2)+2x+3 find polynomials Q(x),R(x) in the set of R[x] s.t f(x) =g(x)Q(X) +R(X) and deg(R)<deg(g) Am i even in the right area? and something to do with manipulating numbers in C[x]...

Does it work ? Exp: (s power of 4) over (4 times s power of 4 plus 1) s^4 ---------- (4S^4)+1 LONG DIVISION : 1/4 _______ 4S^4+1√s^4...

Spivak's "Calculus," chapter 3 - problem 7 - a Homework Statement Prove that for any polynomial function f, and any number a, there is a polynomial function g, anad a number b, such that f(x) = (x - a)*g(x) + b for all x. (The idea is simply to divide (x - a) into f(x) by long division, until...

Homework Statement Show that for every integer n the number n33 - n is divisible by 15 Homework Equations The Attempt at a Solution Not sure what to do. I was thinking it might have something to do with both numbers are divisable by 3 ie the power = 3 x 11 and the divisor...

I know this is a silly question for a 12th grader to ask but I don't know the exact rules. If we divide 950 by 121, the first digit of quotient is 7, then we place a decimal after 7 and bring one 0 down, which is correct way. In the division of 21780/704, the first digit of quotient is 3...

Homework Statement how come that 16/64=.25 166/664=.25 1666/6664=.25 and any 1then n number of sixes / the same number of sixes then 4 = .25 same thing with 19 / 95 is there other strange division patterns?

Homework Statement Let R = { [ a + b*sqrt(m) c + d*sqrt(m) ] } [ n(c - d*sqrt(m)) a - b*sqrt(m) ] (Sorry if the matrix is unclear... I can't get it space nicely. r11 = a + b*sqrt(m) r12 = c + d*sqrt(m) r21 = n(c -d*sqrt(m))...

Im reading a paper about use of electron beams in oncology and it says: "The mechanism of neutron production in the region of electron beam energies under consideration is determined by photodivision of nuclei by bremsstrahlung photons and the small contribution of electrodivision by...

Hi. I'm a second year physics and astronomy major. I'm beginning to worry that I have entered these two majors with unrealistic expectations. The problem is that I developed my passion for physics throughout high school by reading popular science books like The Elegant Universe and Many...

Homework Statement Suppose that two people are dividing two cakes using the following rules: 1. The first person divides the first cake into two pieces in any fashion. 2. The second person then chooses which of the two cakes they will get to choose the first piece from. 3. The first person...

For some time I've been trying to get a geometric appreciation of why normed division algebras only exist in dimensions 1,2,4,8 (namely R,C,H,O). As always Baez provides the most elegant answer: http://math.ucr.edu/home/baez/octonions/node6.html" Allow me to descibe the key point of the...

what is: [log(log x)] / [log x]i would guess logx/1 but not sure

There is an article on wikipedia (http://en.wikipedia.org/wiki/Fourier_division" ) about Fourier division algorithm, but there is something that confuses me. When they compute the so called "b terms" they have to divide 2 numbers. Let's call them x and y, and x/y=q+r. To compute q and r they use...

Homework Statement Find the least positive rest in division of 7^35 with 5 Homework Equations (7^35)/5 The Attempt at a Solution 7^35=378818692265664781682717625943 => 378818692265664781682717625943/5... Uhhhhh this is not the way I am supposed to take right? :cry:

How do you get a vector to the power of negative one? I.E. : V ^ (-1)? Or inversion if that's what it's called? Thank you.

Consider the function g(t) = f(t)/t on [0,1], where f is measurable on [0,1]. Does it follow that g is measurable on [0,1]? I know there's a problem -- namely, division by zero -- only on a set of measure zero -- namely, \{0\} -- and that g agrees with the measurable function g_0 = g|_{(0,1]}...

Why division is not possible between vectors? We have seen in many books that there is vector addition, subtraction and multiplication .. but division between two vectors or more vectors is not anywhere... what is the reason of not having division in vectors.does it have any connection with...

Hello everyone, When a cell divide, do the organalles divide, or does DNA divide first, and using that DNA information new cells synthesize organalles. Thanks :smile:

Hello everyone, Quick question. I can understand proteins are needed to make everything in the cell, so if you inhibit bacterial protein synthesis, cell division can not occur. However my question is does the DNA replicate and divide, and then the cell can not make other things they want so...

I'm pretty much a beginner trying to wrap my head around the concept of voltage division within a circuit. To help myself out, I've come up with the following circuit. [PLAIN]http://img401.imageshack.us/img401/801/voltagedivision.gif I am having trouble determining the voltage between...

is it possible? I'm reading a proof where A is a local ring and f is a monic polynomial, v another polynomial in A[x] then the author says there is q,r with v=qf+r and degf<r. I thought the algorithm required divison of coefficients?! Maybe it's true we can always do this with f monic? thanks

Homework Statement Calculate v (refer to attachment). Homework Equations Voltage division: Vout = Vin x R2 / R1 + R2 The Attempt at a Solution V1 = V1 x R2 / R1 + R2 = 15 x 5 / 10 + 5 = 5V V2 = V2 x R4 / R3 + R4 = 5 x 2 / 10 + 2 = 0.83V V = 5 + 0.83...

Let R be a ring . Suppose that e and f=1-e are two idempotent elements of R and we have R=eRe \oplus fRf (direct sum ) and R doesn't have any non-trivial nilpotent element . Set R_1=eRe and R_2=fRf . If R_1=\{0,e\} and R_2 is a local ring , then prove that R_2 is a division ring . (note that e...

Find the quotient and the remainder when 15 is divided by 29. Use the division algorithm to write your answer as a linear equation (i.e., use the division algorithm to write 15 divided by 29 as a linear equation) I wrote 15=29*0+15 but this problem was marked wrong when I submitted it...

Something odd i noticed while playing around with primes. We have the set of prime numbers P and a p ∈ P. Define a function f:Q → N that will give the period of the repetition in the decimal expansion of some number r ∈ Q. 1) ∀ p ∈ P: ∃ n ∈ N: ∀ q ∈ P, q < p: f(q/p) = n. So n is...

Homework Statement I forgot how to divide this 1.) x^2 + 15 -8x divided by 3 - x I don't know how to start since 3 has nothing to do with x^2. The result from the book is 5 - x. I also don't understand this problem which uses trigonometric identities. if x = a sin theta then...

Homework Statement Let p(z) = \sum_{j=0}^{n} a_{n-j}z^j be a polynomial of at least degree 1 thus n \geq 1. Show that if z\neq 0 then 1/z is a root of the polynomial p. Homework Equations Fundamental theorem of Algebra The Attempt at a Solution If a expand the polynomial...

Homework Statement how to solve the integral of x^3 - 3x^2 + 4x -9 / x^2 + 3 dx Homework Equations using long division The Attempt at a Solution x^2 + 3 divided into x^3 - 3x^2 + 4x -9 I am not sure

Homework Statement Show that g(x) = x^3 + 1 divides f(x) = x^{9999} +1. Homework Equations The Attempt at a Solution g(x) can obviously be factored into the irreducible polynomials (x+1)(x^2 - x + 1) in Z[x], and since f(-1) = (-1)^{9999} + 1 = 0, the factor theorem gives that (x+1) divides...

Homework Statement Problem 3.5.2 Let R be a ring such that the only right ideals of R are (0) and R. Prove that either R is a division ring or that R is ring with a prime number of elements in which ab = 0 for every a, b \in R. Homework Equations The Attempt at a Solution...

This has been posted in another, but the wrong, section of the forum. That's why there are already quotes in it. Hello, Homework Statement I don't understand a step in the following integral: ∫(x-1)/(2x+1)dx = ∫(1/2)dx − (3/2)∫1/(2x+1)dx = (1/2)x − (3/4)ln|2x+1| + C The first...

Homework Statement Show that if a, b, c, and d are integers such that a | c and b | d, then ab | cd. Let m be a positive integer. Show that a mod m = b mod m if a ≡ b(mod m) Homework Equations | means "divides," so a | b means "a divides b" or "b can be divided by a" mod gets the...

Homework Statement M and N are positive integers with M>N. The division algorithm for integers tells us there exists integers Q and R such that M=QN+R with 0\leqR<N. The division algorithm for real polynomials tells us that there exist real polynomials q and r such that xM - 1 = q(xN - 1) +...

Hi everyone, I was questionning myself about a problem that I have surely learn in school but I want to know if it's possible to solve a division with imaginary numbers without using the polar transformation. Example: \frac{2+2i}{1-i} So with the polar tansformation we have...

cosh = \frac{e^x + e^{-x}}{2} In the above definition, why there is division by 2? Is it there so that when x=0, y could be 1?

I am currently looking at a Tyco Electronics Multimode Relay MT. (Schrack division). I am wondering what it means in the description when it mentions CO contact configuration.

(Thread should be named: Question about proof of the division algorithm, sorry about that) Hi, I am reading this proof of the division article: http://xmlearning.maths.ed.ac.uk/lecture_notes/polynomials/division_algorithm/division_algorithm.php" I will write some of it here in case you don't...