Division Definition and 469 Threads

Homework Statement 7a from picture Homework Equations V=IR Voltage division The Attempt at a Solution I am not sure how to apply voltage division here. It is a new concept for me and I'm not really sure how to apply it here. voltage division can only be used in series, but these resistors...

Hello! Can you teach me how to divide a smaller binary by a bigger binary. For example, 10111÷ 1110001. If you can also share tricks for a much faster solution it would be very much appreciated.

Okay, hello there! I'm just beggining with an electricity course, and I saw this formula to claculate the Vrms : " Vrms=Vp/√2"... I'm trying to understand the origen of this formula, I see that I have to divide Vp%1,4142... but how do you explain a division with a decimal number..I...

So here's my problem. I have a pair of noise-cancelling in-ear headphones, and they require a AAA battery. Batteries are expensive so I only use rechargeable ones, but those have a lower capacity (700 maH) and don't last long. I want to make it last longer by putting several of them together...

Homework Statement How many pairs of solutions make x^4 + px^2 + q = 0 divisable by x^2 + px + q = 0 Homework Equations x1 + x2 = -p x1*x2= q[/B] The Attempt at a Solution I tried making z = x^2 and replacing but got nowhere. I figure 0,1,-1 are 3 numbers that fit but I am not sure what's...

Hello, My problem is the same as osnarf's problem in thread "Polynomial division proof", https://www.physicsforums.com/threads/polynomial-division-proof.451991/ But, I would like some further help. The problem: Prove that for any polynomial function f, and any number a, there is a polynomial...

Why do we use division/fractions to represent per something?

Homework Statement This is not for a mathematics unit but is part of an electrical question I'm trying to solve but I cannot solve this equation. The complex numbers Zp and Zr are both real and imaginary, whereas Xm is purely imaginary. Homework Equations Zp = (Xm*Zr)/(Xm+Zr) Zp =...

our maths teacher asked us that we all use the long division method to find square roots or cube roots. The question is, why do we do it that way, i.e. taking one or two nos. from the starting, doubling the divisor and all the steps(i guess everyone knows that). can anyone please help me and...

Homework Statement First question of this particular page http://www.hourlybook.com/ncert-questions-pmts-cell-cycle-cell-division/ Homework Equations the answer is given as C. The Attempt at a Solution But i didn't understand because in last phase i.e D dna content is again reduced to 2c.But...

Just noticed a new article of C Furey not arxived, but readable in SCOAP Phys.Lett. B742 (2015) http://inspirehep.net/record/1342971?ln=es Charge quantization from a number operator Well, it is not new but I have not found a thread mentioning it. It seems to continue the quest from her...

Homework Statement Let F be a finite field of characteristic p∈{2,3,5}. Consider the quaternionic ring, Q_F={a_1+a_i i+a_j j+a_k k|a_1,a_i,a_j,a_k ∈ F}. Prove that Q_F is not a division ring. Homework EquationsThe Attempt at a Solution Let α=1+i,β=1+i+j∈QF. Then...

In community college right now and Physics 3 (electricity and magnetism) has crushed my physics GPA. Phys 1/2 was a 3.9/3.8 and this quarter is likely to be a 3.5. I could have studied harder and I could have done more to get a higher grade, but I should probably say the class average on...

I'm interested in watching videos of Real Analysis lectures etc. in good quality resolution. Those Harvey Mudd College lectures are valuable but annoying re video quality. Thanks. - Blue

Homework Statement Let ##x_1,...,x_n## be distinct real numbers, and ## P = \prod_{i=1}^n(X-x_i)##. If for ##i=1...n ##, ##L_i = \frac{\prod_{j \neq i}^n(X-x_j)}{\prod_{j\neq i}(x_i-x_j)}##, show that for any polynomial A (single variable and real coefs), the rest of the euclidian division of A...

Looking for accredited upper division physics [undergraduate] classes online/correspondence. Anyone know of any? My searches are failing me. Also, before someone says that it's impossible, upper div physics classes rarely have labs and are mostly math, so it is possible to do via correspondence...

What is the remainder of the division number $121^{103}$ by 101

Let $a$, $b$, and $c$ be integers, where a $\ne$ 0. Then $$ $$ (i) if $a$ | $b$ and $a$ | $c$, then $a$ | ($b+c$) $$ $$ (ii) if $a$ | $b$ and $a$|$bc$ for all integers $c$; $$ $$ (iii) if $a$ |$b$ and $b$|$c$, then $a$|$c$. **Prove that if $a$|$b$ and $b$|$c$ then $a$|$c$ using a column proof...

Homework Statement If p and q are both greater than or equal to 5, prove that 24|p^2 - q^2 Homework Equations none The Attempt at a Solution 24 = 2^3 * 3. If p = q = 5, then 24|0. If p = 7, q = 5, then 24|24. Any other combination, p^2 - q^2 will be greater than 24. I want to show that p^2 -...

Homework Statement Solve the BVP for a vibrating string with Separation of Variables/Fourier's method. \frac{\partial ^2}{\partial ^2 t} u(x,t) = c^2 \frac{\partial ^2}{\partial ^2 x} u(x,t) The string is of length L with each end fixed, ie u(0,t) = u(L,t) = 0 The Attempt at a Solution I...

What is the 2015th decimal number in the division 2015 by 7? This is how I did it but is there an simpler way of showing this... I did 2015/7 = 287.857142 857142 857142 857142 ... As we have a recurring decimal for the numbers 857142, I divided 2015 by 6 which gives me a non finite answer so...

Homework Statement \frac{x^5-a^5}{x^2-a^2}, where a is some constant. Homework EquationsThe Attempt at a Solution I can't figure out how to do this with long division. With synthetic, I can get to \frac{a^4+a^3 x+a^2 x^2+a x^3+x^4}{a+x} x^3+xa^2+...

Homework Statement Find V0 using voltage/current division Homework Equations V=(VsR)/Req I=(IsIeq)/I The Attempt at a Solution I used general circuit rules (parallel and series) to get the total resistance as 14.775 ohms{?}. And I'm stuck with what to do next . . .

Homework Statement f(x) = x^3 Find f(-2) f(-2) = -8 The text says that by dividing a function [x^3] by [x minus a given input (-2)] using synthetic division, I'll be able to produce the correct output (-8). I want to know why this happens. Homework Equations (x^3)/(x-(-2)) = -8The Attempt at a...

I have data from a pendulum and I am using it to work out the radius of the pendulum. I have acceleration in the x and y directions and so thought this would be easy enough. Simply I determine the (velocity in the x direction)^2/acceleration in the y direction. However when I use python to give...

Homework Statement I have the following equation Aab= c ua ub Where Aab is a rank 2 tensor and ua is a vector and c is a scalar and a,b = {0,1,2,3}. I know both Aab , ua and ua I want to find c explicitly but I don't know how to interpret or calculate c = Aab / ( ua ub ) Does anyone...

This might seem like a silly question, but why do we use division to compare two quantities, i.e., a ratio? I've always taken for granted that dividing two physical quantities tells how many of one quantity there is for the other quantity, but why exactly does this work? Why don't we define some...

Homework Statement Not actually for homework, but i didn't know where to post this. Problem: Show that any integer to the fourth power can be expressed as either 5k or 5k+1 where k is an integer. Homework Equations None. The Attempt at a Solution My starting point is to consider that all...

Show that the remainder of the polynomial $f(x)=2008+2007x+2006x^2+\cdots+3x^{2005}+2x^{2006}+x^{2007}$ is the same upon division by $x(x+1)$ as upon division by $x(x+1)^2$.

As an experimentalist, I am very excited to be taking my first upper division physics lab next semester! The course covers basic electronics (filters, diodes, transistors, op-amps, analog & digital circuits, D/A conversion, and LabView Programming, etc.) and measurement techniques with an...

Homework Statement A series RL circuit is connected to a 110-V ac source. If the voltage across the resistor is 85 V, find the voltage across the inductor. Homework Equations V = IR The Attempt at a Solution How does one go about solving this? My intuition tells me that KVL must be...

So, I am wondering if there is a way to long divide $x+2 $ / $x -1$. My result is $1 + \frac{4}{x -2}$ but does $[1 + \frac{4}{x -2} ] * [ x - 2]$ = $x +2$ Thanks

I will be using /= to mean 'does not equal'. From my textbook: Division Algorithm: Let R be any ring and let f(x) and g(x) be polynomials in R[x]. Assume that f(x) /= 0 and that the leading coefficient of f(x) is a unit in R. then unique determined polynomials q(x) and r(x) exist such that 1)...

I am reading Paul E. Bland's book, "Rings and Their Modules". I am trying to understand Section 2.2 on free modules and need help with the proof of Proposition 2.2.10. Proposition 2.2.10 and its proof read as follows:My question/problem is concerned with Bland's proof of Proposition 2.2.10...

Why is it that, ## \frac{a+\mathcal{O}(h^2)}{b+\mathcal{O}(h^2)} = \frac{a}{b}+\mathcal{O}(h^2) ## as ##h\rightarrow 0##? It seems like the ##\mathcal{O}(h^2)## term should become ##\mathcal{O}(1)##.

At first he shows 2x+4 / 2 and you just divide both 2x and 4 by 2. But then in the next example he is dividing x^2+3x+6 by x+1 and he doesn't divide x^2 by x+1, 3x by x+1 and 6 by x+1. I do not understand how he does the problem.

How to divide two sequences in Wolfam Mathematica? For example f_n=\frac{1}{n}=1,\frac{1}{2},\frac{1}{3},... and g_n=n^2=1,4,9,... I want to get h_n=1,\frac{1}{8},\frac{1}{27}...=\frac{f_n}{g_n} How to do that in Wolfram Mathematica?

I think that if you're good at maths you'll be able to help me without having heard of this before, assuming you know about classical conditioning it's explained here; http://brembs.net/classical/suppress.html The measure of the extent to which the CS suppresses responding is called the...

Last week on my computer science assignment I had to write a division algorithm using only addition and subtraction to tackle a problem. My first attempt was the simple and naive repeated subtraction, although I quickly discovered it was not nearly efficient enough for how I needed to use it, So...

Homework Statement Decide the inverse laplace transform of the problem below: F(s)= \frac{4s-5}{s^2-4s+8} You're allowed to use s shifting. Homework Equations The Attempt at a Solution By looking at the denominator, I see that it might be factorized easily, so I try that...

I show that the assoc. property applies to addition and multiplication in my book: (a+b)+c = a+(b+c) (ab)c = a(bc) But what about subtraction and division?

This is frustrating me. The formula for division of fractions in my Pre-Calculus book is a/b = a x 1/b. However, when you apply this to an actual problem, it doesn't make sense. For example: 3/4 divided by (sorry, I don't see a divisor sign in the list of symbols we can choose from) 6/11...

When you have a polynomial say ax^4+bx^3+cx^2+dx+e where a,b,c,d and e are constants and divide this by a polynomial say ax+b it follows that the quotient will be a cubic polynomial. Assuming that a remainder exists, then the remainder will be a constant because in my reasoning, the remainder...

Why is division used for ratios? For example, if we have 1 dog for every 2 cats, then why can this relation be modeled by the division? Since the ratio can essentially have the value of 1/2 or 2, then what is the significance of these two distinct numbers in relation to the ratio? How does the...

Although of course I have been using division since my elementary years, I still can't out my finger on exactly what division is from a computation standpoint. For example, addition is adding objects (very intuitive), subtraction is adding the additive inverse of an object, and multiplication is...

Hello This is question is bugging me for years. Why is division by 0 undefined and not multiplication by 0 undefined? If any number multiplied by 0 is 0 then the logical answer for any number divided by 0 would be ∞ (for me at least). If you "define" N/0=∞ and N*0=undefined then there are...

Hello, I am confused about a concept, Suppose I am trying to solve a linear system ##Ax = b## I want to know why is it when I solve for x, the command is x = A\b. Why would it not be x = b\A. One could see that if you divide x on both sides, then b/x = A. Is this not true for the matrix?

Let's say I wanted to do the following calculation: (x^2 + 2x + 1) / (x+1) I've scrolled through some online guides, and they all show how to do it, but not the principle behind it. I'm specifically having trouble with the fact, that instead of dividing the largest degree term with the entire...

rewrite using polynomial long division $$\frac{x^3 + 4x^2 + 3}{x+4}$$ so I did $$x+4 \sqrt{x^3 + 4x^2 + 0x + 3}$$ and got $$x^2 + 1 - \frac{1}{x+4}$$ What am i doing wrong? How is that incorrect?

Hi, in Matlab I encounter with two new operations for me which are array multiplication and array division. I want to learn that do they have physical applications in real world physics problems or are they be related with banking and accounting.