Reduction Definition and 472 Threads

what is meant by oxidation and reduction and what are the differences between them?Though there is oxidation number why there is no number to represent reduction?

Homework Statement I have this 2^n*2^n matrix that represent the evolution of a system of $n$ spin. I know that I can have only one excited spin in my configuration a time. (eg: 0110 nor 0101 ar not permitted, but 0100 it is) s_+ is defined with s_x+is_y and s_- is defined with s_x-is_y...

Hey Guys I am Currently doing my degree in information systems. At the moment the subject is PLC(Processing and Logic Concepts) I understand all of it, I am not sertain on how to start reducing a boolean expression. Once the first step is done I normally get it and can complete the...

I need to reduce the lubricant temperature in a motorcycle engine.? I've been allotted this project in a motorcycle company in India in which I need to reduce the average temperature to which a lubricating oil gets heated up, in an engine for one of their models. Now I did see the flow path of...

Dear engineers and physicists, I would like to ask you a question about Component Mode Synthesis (CMS), which is the topic of my bachelor thesis. My primary resource is the classical AIAA article "Coupling of Substructures for Dynamic Analyses: an Overview" by Prof. Craig. For now I am...

Homework Statement Under the assumption that BETA is a closed term show that (λx.α)(β) and α[x→β] are logically equivalent. Homework Equations I'm sure I have to use β-reduction but I'm not sure how in this case: ⊢(λx.x)(β→α[x→β] The Attempt at a Solution

I am trying to complete the following question: By pumping the air pressure in a tank is reduced by 15%/second. The percentage of air pressure remaining is fiven by the formula. p=100(0.85)^t Plot p against t for 0 < t < 30s. Deternine the rate of change at 5s & 10s. I have plotted...

I'm wondering if the following is possible. Consider some inertial coordiante system x, y, z, and a rotating coordiante system p, q, r defined through matrix rotations as follows. \begin{pmatrix} p \\ q \\ r \end{pmatrix} = R_1(\theta_1(t)) R_2(\theta_2(t)) R_3(\theta_3(t))...

Hi everyone, :) One of my friends gave me the following question. I am posting the question and the answer here so that he could check his work. Question: This question concerns the differential equation, \[x\frac{d^{2}y}{dx^2}-(x+1)\frac{dy}{dx}+y=x^2\] and the associated homogeneous...

Hi, can someone please explain to me how I can identify which is the oxidation half and which is the reduction half of a redox reaction. I have read on the internet that the oxidation half is the highest up the table between the two then why doesn't it work for: (Ca^2+) + 2Br → Ca + Br2...

Hi! In a speed-reduction drive, because the power transmitted is almost constant, as the speed decreases the torque increases. Is this reduced rear wheel/shaft speed the same when the loaded condition is considered? Let's assume that the prime mover is rated to produce 1.4 mN torque at...

Homework Statement Welding robot is defined by the block diagram attached/ excuse the paint work. (hope that worked) find: a)maximum value of K required to achieve stability. b)roots of the characteristic equation, at half the maximum K value. c)estimated percentage overshoot, if the...

Homework Statement (x-1)y'' - xy' + y = 0, y=e^x is a solution Homework Equations The Attempt at a Solution Assume the second solution is of the form ve^x, where v' = (y^'2)e^-int[-x/(x-1)] So v' = e^(-2x)e^(x+ln|x-1|) = e^(ln|x+1|-x) Then, this second solution must be...

Hey guys, I'm doing some experimenting recently with some primality tests, and I need help figuring out how to automate the following: Given an even number N, divide by 2k (k \in \mathbb{N}). If N/2k is an integer, reduce mod 2k+1. (If N/2k is not an integer, simply move on to the next one.)...

Hello, I have come across this sentence in a paper: "For a metal, the introduction of a finite temperature T can be of a more technical use: the Fermi surface of the system is no longer a sharp feature in the Brillouin zone, and the number of electronic wave vectors "k points" needed to...

Homework Statement t^2y''-4ty'+6y=0 t>0, y1(t)=t^2 find the 2nd solution using method of reduction of order.Homework Equations The Attempt at a Solution Let y=v(t)t^2 y'=2tv+v't^2 y''=2v+2tv'+v''t^2+2tv' put in back into eq and solving reduces to (checked it twice) t^4*v''=0 v''=0 Then I...

I don't know what to do with the x^3*e^x on the left side of the page. In the example the instructor gave for a different problem, you couldn't solve for x. In this problem you can so what does that mean I need to do with it?

see image http://i.imgur.com/OCj7Q5f.jpg

When you do the 1st and 2nd derivatives of y2, you're supposed to get u' and u'' in your answer. My question is why can't you do it the way I've started to do it? Or, why are my answers for y2' and y2'' wrong? http://i.imgur.com/OarDiuW.jpg

Homework Statement Use the method of reduction of order to find another independently linear solution y2(x) when given one solution. x^2y'' - x(x+2)y' + (x+2)y = 0 y_1(x) = x The Attempt at a Solution Hopefully y2(x) will take the form of v(x)y1(x) or I have no idea how to solve the ODE...

I think I have this right, its just its an online assignment and I don't want to lose any points on it.(1/4 my grade) Question: Find y2 if y1= x^(-1) and the equation: x^2y"+3ty'+y=0. I solved(using Abel's) for it: ln(x)/x but I am not entirely sure. Wondering if I am spot on or...

A panel put out over 30.7 volts, say 34 volts and I have a micro-inverter that require a voltage of 11-30 to work. Other than shading some of the panel, is there a way to half the voltage from the panel without as much loss from shading some of the cells to work the inverter?

When something is oxidized, it gains oxygen, loses hydrogen or loses electron. However, if the substance gains something else other than oxygen then it won't be considered oxidation anymore? For instance H+ +OH- -->H2O so in this case it seems that the H+ gained oxygen from OH- but actually the...

Homework Statement prove the following reduction formula, n>0 ∫((1+x^2)^n) dx=(x(1+x^2)^n)(1/(2n+1)) +2n/(2n+1)∫(1+x^2)^(n-1) dx Homework Equations none The Attempt at a Solution one of many attempts, i get close, but no cigar. Huge blow to the calculus ego. Any help would be greatly...

Hi I have a question I was wondering if y'all could clear up. Let's say I have two metal cations, Iron (III) and Manganese (II). Will binding them to an anionic ligand lower their reduction potentials (making each a better redundant) and if so why? Is it because the anionic charge of the...

Friction causes a torque that opposes angular momentum. It gets reduced. how can we derive a relation connecting these. friction starts with maximum and becomes zero. angular velocity and its corresponding momentum decreases maximum in the beginning and increases towards the end. the radial...

Homework Statement A) Calculate the reduction potential for the reduction of E \cdot Fe^{3+} (aq) by Fe^{2+} B)What is the equilibrium expression, equilbrium constant, and K_{d} for E \cdot Fe^{3+} (aq) Known: Fe^{3+} (aq) + e \rightarrow Fe^{2+}(aq) \hspace{15pt} E = 0.22 V E \cdot...

Hi, this seems like the right section to post, I have a few questions, three fractions that I know the answer for but I just can't figure out how they were arrived at (the middle step). The only way I can think of solving them is expanding it all out etc. which would result in a 100 term cubic...

I'm developing a 2 Dimensional iOS war game, so think guns bullets damage hit points etc. I'm trying to write a function that calculates the Velocity of a bullet at a certain distance, so that I can calculate the force of the bullet at a certain distance. So let's say the that Rifle A is...

This is not a homework problem, I just want to understand some theory behind this mathematical method. Specifically, if we know that one solution is y1(t), then why is the second solution in the form y2(t) = v(t) * y1(t)? Where v(t) is the function that you need to solve for. Why does...

use method of reduction of order to find second solution: t2y''-4ty+6y = 0 , y1(t)= t2 Attempt: So I've done all the steps, up to the substitution, but I'm having problems with what appears to be a simple linear equation but I can't solve it: Any ways, with w = v' I arrive at...

I am new to the forums and need help with something. I have been using a spreadsheet that somebody else made in order to help me design an electric motorcycle. I have been inputing my own data using most of his calculations and I have noticed that he did not calculate any aerodynamic parameters...

Legendre polynomials I have one solution to $(1-x^2)y''-2xy'+\lambda^2 y=0$ and that is $$ \lambda^2a_0 - (2 - \lambda^2)xa_1 + 2a_2 + 6xa_3 + \sum_{k = 2}^{\infty}\left[a_k\left(\lambda^2 - k - k^2\right) + a_{k + 2}\left(k^2 + 3k + 2\right)\right]x^k = 0. $$ From this equation, we can conclude...

I have a problem with differential equations - 2nd order - reduction of order my problem is as follows: (x − 1)y" − xy' + y = 0 , x > 1 ; y_1(x) = e^x solving this type of diff. eq. says to use y=y_1(x)V(x) which gives me y=Ve^x differentiating y gives me y'=V'e^x & y''=V''e^x...

This post received no response. Can be deleted. Thanks.

Homework Statement My book talks about the "reduction formulas" for evaluating trigonometric integrals by parts. However, is this the same thing as "recursive" formulas for integration by parts, a term which is not mentioned in my calculus book? Homework Equations The Attempt at...

Homework Statement Are there any sample problems worked out for trig functions of higher powers which are integrated by reduction formula? Like cos^8 or cos^10 or even just cos^6 or maybe?

Homework Statement Homework Equations The Attempt at a Solution I thought the answer should be this: But in the answer key, its something else. In the answer key, it is: I don't understand why the left ring doesn't react.

Homework Statement (x2+2y')y''+2xy'=0 with initial conditions of y(0)=1 and y'(0)=0 Homework Equations reduction of order, and exact equations.. The Attempt at a Solution let y'=p and y''=p' Giving: (x2+2p)p'+2xp Let M=2xp and N=(x2+2p) So, Mp=2x and Nx=2x Therefore, they are...

Hey all, I was going through a few video lectures on youtube. To be specific, this is the video I watched. Now, the professor in the video talks about Dynamic reduction techniques and puts Guyan reduction in that category. For a fact, Guyan reduction is also called Static condensation and...

Homework Statement reduce the fraction \frac{943578}{1978935} to its lowest terms using Euclid's algorithm The Attempt at a Solution I start with finding the gcd of these two numbers using E.algorithm 1978935=943578*2+91779 942578=91779*10+25788 91779=25788*3+14415 25788=14415*1+11373...

Hi, I and my team-mate have proposed an idea to develop a CO2 emission reduction device to be installed in automobiles. We have mentioned that it will operate on the principle of 'active adsorption of CO2 on charcoal'. However, although the basic scientific principle is pretty simple...

Homework Statement Given ∫xn2xdx= 2/ln(2) -n/ln(2)∫xn-12xdx, for n≥1 find ∫x32xdx all integrals have limits 1and 0. Homework Equations The Attempt at a Solution doing this I get... 2/ln2 -3/ln2(2/ln2-2ln2)(2/ln2 -1/ln2)(2/ln2-1/ln2) but this just gives me 0 I...

Hello guys, I just registered on this forum, so I hope you can help me with some differential entropy stuff. So I have made the attached pdf file (it's a bit messy, sorry) that demonstrates a toy version of the problem I'm trying to solve. Thing is I'm quite new to information theory, so...

I have a big pipe with known diameter, length and velcity at big pipe. There are two pipes dividing form the big pipe with varing diameter and length. 1) How to calculate velocity of water in these two pipes? 2) If I add one more pipe of known length and diameter, what would be the velocity...

I love Physics! I've been thinking about if... you were in a room with a window, bouncing a ball... and you were looking at another building where you could see a room with a person bouncing a ball, but ... their time was moving at half speed (Caused by gravitational time dilation only ( not...

Homework Statement \ddot{y} = - \dot{y} - y -sin(y) Homework Equations The Attempt at a Solution to reduce the order I need to find a solution y1. it seems to me the only obvious solution is y1 = 0 but i can't use this to do a reduction can i

Homework Statement Solve the following using the method of reduction of order. 4x^2y''+y=0 y_1=\sqrt{x}lnx Homework Equations y_2=v(x)y_1 v(x) = ∫ (e^(-∫P(x)dx / y_1) Sorry if that's tough to read, couldn't figure out the latex for it, but it's supposed to be a forumla for...

Homework Statement finding the overall transfer equation Homework Equations not sure which equation to use The Attempt at a Solution unsure how to solve this, don't know where to start off from

Homework Statement If In denotes \int_0^∞ \! \frac{1}{(1+x^2)^n} \, \mathrm{d} x Prove that 2nI_{n+1} = (2n-1)I_n, and state the values of n for which this reduction formula is valid. Homework Equations The Attempt at a Solution I_n=\int_0^∞ \! \frac{1}{(1+x^2)^n} \, \mathrm{d} x =\int_0^∞...