Reduction Definition and 447 Threads

I've looked everywhere and can't seem to find any information. Would someone be kind enough to point me to some literature?

Read the math in the image below Is it possible to integrate the rational function using that reduction formula. If yes, how do I go about doing it? Keep it simple, I'm new to this (And I missed a lesson) Thanks!

Integrate sin2(x)cos4(x)dx using reduction formulas? My book says integral sin2(x)cos4(x)dx= integral cos4(x)-integral cos6x dx Now the reduction formula for n=6 for integral cos6(x)dx= (1/6)cos5(x)sinx+(5/6) integral cos4(x)dx Here is the part I don't get: It then says ...

Hi- I am taking linear algebra and the teacher threw some problems at us that I cannot seem to figure out or find examples for online. Also, the textbook doesn't even cover the material. The problem states: Using Gauss-Jordan elimination, solve the following system with coefficients in...

Hi, my problem involves a laser sensor as a bin level sensor. what i want to do is get rid of the noise from the signal obtained. the spikes in the picture below are because the location of the laser sensor has to be where it is and when large rocks move down into the chute they pass infront...

It might be difficult for you to read this integral in non latex form, but i'll try my best. As i don't know how to write this in latex form, assume "for this problem" that I(n) is pronounced as "I subscript n" or nth term of I. Homework Statement I(n)=∫ (sinx)^n dx [with...

hello everyone. I need a little help with something probably simple, for a game engine I'm writing. I want to reduce a number n by a certain percentage each second, p. But i want to do this with higher granularity, depending on the framerate my game is running at. So for example, if i...

Hi I have what seems to be a untractable problem On a racing motorcycle I am using a total loss ingition/datalogging and water pump system. To power this I am using a 5000Ma 30C LiPo battery (used because of it light weight and small size). The measured battery output is 15.2 Volts. Both the...

Homework Statement Question is to find a general solution, using reduction of order to: (1-x^2)y" - 2xy' +2y = 0 (Legendre's differential equation for n=1) Information is given that the Legendre polynomials for the relevant n are solutions, and for n=1 this means 'x' is a solution...

Please cana nyone physically explain the meaning of Guyan reduction for dynamic analysis? I have an ide that it relates to the erduction in the degreeso f freedom of the structure for FE analsysis such that the model is still accurate but performs (in relation to the time required for completing...

Homework Statement Show that if y1 is a solution to the ODE y'''+a2y''+a1y'+a0y=0 then the substitution y=uy1 reduces the order of the equation to a 2nd order linear ODE. The Attempt at a Solution well, I calculated first, second and third derivatives of y and plugged them in the equation and...

Given y''-4y=2 and that one solution is y_{1}=e^{-2x} I need to find a second solution of the homogeneous equation, and then a particular solution of the homogeneous equation. Here's how I solved the homogeneous equation: y=ue^{-2x}, y'=u'e^{-2x}-2ue^{-2x}...

I'm given y''-4y'+4y=0 and there is a solution y_{1}=e^{2x} Using this I need to find a second solution. Starting with the assumption: y_{2}=u(x)*y_{1} Then: y=ue^{2x} y'=2ue^{2x}+u'e^{2x} y''=4ue^{2x}+2u'e^{2x}+u''e^{2x}+2u'e^{2x} When I substitute back into the original equation, after doing...

Hi all, I have this kind of optimization problem: Variable to control: A=A=[a1;a2;...;am] objective function to minimize: L=A*TL where L is a scalar T is a matrix [1,m] TL is a matrix [m,1] constrain: Dt>Dtv where: Dt=[dt1;dt2;...;dtn] Dtv=[dtv1;dtv2;...;dtvn] is a...

Homework Statement find general solution of x2y''-xy'-3y=0 Homework Equations two solutions are given, y1=1/x and y2=x3 The Attempt at a Solution i think this is a reduction of order question? the only theory i can find in my text for second order DE relates to constant...

I have been given the equation: y'' + y' - 2y = 0 and asked: " Express the equation as a 1st-order system. Solve the system using matrix methods." I thought in order to reduce an equation you needed one solution to it already. I tried using the general solution but it got messy...

Linear Algebra Row Reduction? Homework Statement This question is frustrating me, and I might be missing the obvious, I tend to make algebraic mistakes, but I don't know what I'm doing wrong here! I'm trying to solve this system using row reduction: x-5y+4z=-3 2x-7y+3z=-2...

Homework Statement Hi, i was reviewing some of the material covered this week and I'm wondering if someone can explain a brief step that I'm not quite understanding. The step is once you differentiate your given solution for example twice, then plug it back into the original equation, one of...

\nablax (A x B) I'm trying to reduce this triple product down so nabla is only operating on either A or B, not the product of the two vectors. I've been playing with this for a while now but can't really seem to make a dent in it. Any suggestions would be well appreciated.

Can Carbon displace Aluminium, Silver and Gold from their oxides ? Also where is Carbon found in the reactivity series ? Edit : Got confirmation of Carbon's position in the reactivity series. But I still have a doubt about Silver and Gold because they are unreactive.

Hi, so basically have been looking at http://en.wikibooks.org/wiki/Special_Relativity:_Dynamics#Momentum" and working my way through the maths for myself. However I have hit this point and can't get past it: \begin{align} u = \frac{v - u}{1-\frac{uv}{c^2}} \end{align} Which should be...

Homework Statement \intx^{n}2^{x}dx = \frac{2}{ln 2} - \frac{n}{ln 2} \intx^{n-1}2^{x}dx For n is greater or equal to 1, find \intx^{3}2^{x}dx This is a definite integral from 0 to 1 The Attempt at a Solution My first question is, after reducing this once, you are left with...

Homework Statement \int (1 - x^2)^n dx = \frac{2n}{2n+1} \int (1 - x^2)^n-1 dx for n greater or equal to 1, find \int (1 - x^2)^4 dx The integrals go from 0 to 1 Homework Equations The Attempt at a Solution Well what I did was to keep doing n - 1 whilst pulling a fraction...

Hi everyone, I hope I have posted in the right place. I'm a commerce student and have absolutely no idea about mechanical stuffs. My father has an idea in mind which he would love to implement. He too is a commerce student. Hence, I need some help from you'll to see if this is really practical...

I am using an equation that states that critical sonic velocity is: a_{cr}=\sqrt{\frac{2\gamma}{\gamma+1}gR_{gas}T'} The units should result in velocity (\frac{m}{s}) Yet, when I do the unit reduction I do not get that answer. Here is what I get: Lets ignore the square root for now. Also...

Good day. just want to ask anyone about copper loss. How is it computed for example in a manufacturing plant or in a dept mall.Could anyone give an illustration/example? Also , is it true that copper loss can be reduced by using big wires?What if the wire is big enough? thank you. hope...

1. Rank from greatest to least the reduction of mass per nucleon that accompanies the fusion of the following pairs of nuclei: a. Two hydrogen nuclei b. Two carbon nuclei c. Two aluminum nuclei d. Two iron nuclei 2. n/a 3. I know fusion is when two elements are combined and...

1. Homework Statement 2. Homework Equations I need to reduce the above block diagram to find the closed loop transfer function This is my solution to the reduction part of the problem: i) Add the feed forward paths; (10 + 10) ii) cascade G(s)2 x G(s)3 , {G(s)2 = 1/1+12, G(s)3= 20/s}...

Reduction of Order ODE - Stuck on question! Help Please! The question says that y1= x is a solution to: x^3 y'' + x y' - y = 0 It then says to use y2 = y1 f(x) So I can do it this far and then I just get lost and my notes don't seem to clear anything! I'm just going to say y(2) = y2...

Hi, All: Just curious as to the definition of the "mod2 reduction of a homology class". The context is that an element w in H₂(M⁴,Z) is called characteristic if "its mod reduction [w]₂ is Poincare-dual to the Stiefel-Whitney class...

Hi. I was wondering if someone could help me out. I am trying to work out what a value of friction will do to the power of a motor. For example, if I know the power output of the motor is 1W, and I introduce X amount of friction, what will the resulting output in power be. Could someone...

Hey folks, i have a question about LSZ and how to take into account the renormalization constants of the theory in question. In the derivation, only the field strength renormalization enters as a factor of Z (or square root thereof) but some mates said that also the vertex renormalization...

Hey, guys. I'm having a hard time with a 2nd ODE reduction of order problem. The DE is t2y'' - 4ty' + 6y = 0, with y1 = t2. So I set up my y = t2v(t); y' = t2v' + 2tv; y'' = t2v'' + 4tv' + 2v. I then substituted back in and got: t4v'' = 0 This is where I'm getting stuck. The book...

Homework Statement x^2 y''+2xy'-12y=0,y_1=x^3 y''+(2y')/x-12y/x^2 =0 Homework Equations The Attempt at a Solution y=uy_1=ux y'=u' x+u y''=u'' x+2u' subbing that in instead of y,y',y'' u'' x+2u'+2(u'x+u)/x+12(ux)/x^2 =0 now my book says to reduce the...

Help! I'm a third-year chick in engineering, stuck on a block diagram reduction problem for my control systems engineering course. Please email me and I'll send you a screenshot of the problem! kati@sidwall.com Thanks a mill. K xo

"Photosystem I transfers electrons to NADP+, reducing it to NADPH." This is mentioned many times in my textbook, in other examples besides photosynthesis. NADP+ reduced into NADPH. I agree that receiving an electron is a reduction. But how does receiving electrons turn NADP+ to NADPH? That...

Define I(n) by I(n) = integral of x^n / square root(1+x^2) dx. Evaluate I(0), I(1) and then establish the reduction formula I(n) = ((root2)-(n-1)I(n-2))/(n) for suitable values of n, which should be stated Here is my attempt I found I(0) first,and got the answer to be...

Hi. Can someone help me please. I have a steam generator which is designed to operate from natural gas with pressure of 2000 -4000 mmAq. It consumes a volume of 71 Nm3/h of the gas. I want to operate it on Liquid Petroleum Gas (LPG-Propane). The problem is that LPG is available in cylinders at...

Hope I'm in the right spot, google searches lead me here. I am working with a couple N50 ring magnets which are axially magnetized, as an alternative to a coil spring. They are going around a steel rod which acts as the guide, and is an integral part of the complete assembly. My question...

In free field theory one particle states can be created as: |k\rangle =a^{\dag}(\vec{k})|0\rangle . Just as we can expand the field operator in terms of the creation and annihilation operators it is possible to obtain an expression for the creation operator in terms of the field, it turns out...

I have the following function to be reduced/simplified. F(A,B,C,D) = BC + (A + C'D') where ' denotes the complement Here's my solution: = BC + (A + C'D')' = BC + (A + (C+D) = BC + (A + C + D) = BC + C + A + D = C(B + 1) + A + D = C*1 + A + D = C + A + D Is this correct?

Homework Statement If we let A be the augmented m x (n + 1) matrix of a system of m linear equations with n unknowns Let B be the m x n matrix obtained from A by removing the last column. Let C be the matrix in row reduced form obtained from A by elementary row operations...

Homework Statement I am having trouble row reducing... 5cos(t) 5sin(t) | -cos(t) 2cos(t)+sin(t) 2sin(t)-cos(t) | sin(t) Homework Equations The Attempt at a Solution I know I am allowed to multiply a row by a constant but I...

How exactly do you decide which operations to do in doing a matrix row reduction? Every example I see just randomly multiplies the rows or does row operations and magically they get the answer. HOW do you know to do certain operations? I understand the reduced row echelon form but it still...

I have trouble solving the following question, would someone offer some help? thanks. In very dry regions, the phenomenon called Virga is very important because it can endanger aeroplanes. [See Wikipedia] Virga is rain in air that is so dry that the raindrops evaporate before they can...

Hello :smile: I was hoping someone could help me with this. I'm going round in circles and don't understand how to solve it. Homework Statement The integral I_m is defined as: I_m = \int^{\frac{\pi}{2}} _{0} (cos^m(x))dx where m is a positive integer. By representing cos^m(x)...

Can anyone help me out with a proof for the integral that's in the attached images, its driving me nuts :frown:

Homework Statement Can you do integral of sec^5(x)tan^2(x) without reduction formula? Homework Equations The Attempt at a Solution If so, would it be integration by parts? I tried splitting it up in way too many ways to post them on here. Thanks for any hints!

Homework Statement A man stands 3m from a siren. How far does he have to move to reduce the intensity level by 20 decibels? Homework Equations Intensity level = 10log(I/Io) the inverse square law The Attempt at a Solution i know the answer is 30m because 10 times the distance drops...

Homework Statement derive a reduction formula for ∫(lnx)n dx and use it to evaluate ∫1e (lnx)3dx Homework Equations The Attempt at a Solution In other examples we've started by saying ∫(lnx)ndx = ∫(lnx)(lnx)n-1dx and using integration by parts. So let: f = (lnx)n-1 f' =...