Reduction Definition and 447 Threads

Homework Statement 2*3*4*5/4+3*4*4*6 Homework Equations 2*3*4*5/4+3*4*4*6 The Attempt at a Solution 2*3*5/1+3*4*6 Knowledge gap 1 - I do not understand why if top and bottom are divided through by 4 there should be a 4 left in the denominator and why the rest of the numerators and...

Hello, I’d have a question regarding two apparently different formulas for the time reduction factors for observers in orbit around a rotating black hole, as reported in this nice thread: Equation for time dilation of body in orbit around Kerr black hole? The first one is: $$A=\sqrt{g_{tt} +...

Homework Statement Determine the closed loop transfer functions of the systems shown below: Homework Equations Standard block diagram algebra. The Attempt at a Solution I've moved the take off point such that the diagram now looks like: I am having difficulty determining G1(s). The...

Hello, I am studying reduction of endomorphisms and I came across a theorem that I can't understand completely. It states that: Theorem: Let ##E## be a finite dimensional ##K## vector space, ##K## sub-field of ##\mathbb{C}##, and ##f## be an endomorphism of ##E##. Then, ##f## is diagonalizable...

Hello hope you can help me. Can anybody tell me what goes on from equation 3 to 4. especially how gets in?

I'm trying to determine how powerful of a stepper motor I need for a project. I am attempting to take a display that weighs 15lbs and transition it from laying flat to inclined (approximately 45 degrees) using a stepper motor. I had considered a linear actuator since it would have been an easier...

Suppose we have an insulated cylindrical container with a piston inserted from one end. Suppose the volume confined by the piston is full of a hot gas. Now let the gas drive the piston so that the volume is increased. Did the entropy of the system decrease because some of the energy of the...

I've been thumbing back through my organic synthesis book to try and remember how to reduce a carboxylic functional group. I know how to do partial reduction to primary alcohols, or create aldehydes and or acyl halides. But isn't there a way to completely reduce it all the way to a hydrocarbon...

If I have 2 sealed tanks A and B of 1 cu ft volume that contain air at atmospheric pressure and are at 300 deg K. temp absolute. For tank A I raise the temperature from 300K to 600K and I suppose the pressure will double due to this and would be 14.7 * 2 = 29.4psi absolute For tank B I use a...

I have a function : (1+x)^1/3 and I need to do reduction in mathcad. I wrote this : But the problem is that : it does not work with negative numbers. How to fix it?

2xy'=3y' first how do i find it's solution

I want to convert this linear second order general form PDE to two equations: ##ϕ_{xx}+bϕ_{xy}+cϕ_{yy}+dϕ_x+eϕ_y+fϕ=g(x,y)## Converted equations: ##a_1 u_x+b_1 u_y+c_1 v_x+d_1 v_y=f_1## ##a_2 u_x+b_2 u_y+c_2 v_x+d_2 v_y=f_2## I want to find parametric values of ##a_1 ...f_2## How can I do...

Hey there! While reading my mechanical design book, I had hard time to understand a particular paragraph if anyone could help. Attached to this post are two figures. 2-6 a and b. The first one is pretty simple to understand; the engineering normal stress strain curve...

1.How to find the force required in shearing sheet metal out by a cutter that does not cut at ninety degrees, but the end is inclined slightly at 90 + x degrees? The usual form is shearing stress× plate thickness× cutting length. In the new case, the tool impinges progressively from a single...

Hey! :o Is the following formulation of the reduction correct? Undecidability of an (positive) existential theory $T$ is proved often by reduction, i.e., by interpreting another (positive) existential theory $T'$, known to be undecidable, in $T$. Each formula $\phi'$ of the language of $T'$...

Given the following diagram: The conductor(C) of known volume(##V##) and resistance(##R##), passes a uniform magnetic field(##B##)at a constant velocity(##v##), via the following formula: ## \epsilon = -vBL## the induced EMF can be calculated. This conductor acts as a power source to a certain...

Hey! :o Lemma 1. For any $x$ in the ring $F[t,t^{-1}]$ ($F[t,t^{-1}]$: the polynomials in $t$ and $t^{-1}$ with coefficients in the field $F$), $x$ is a power of $t$ if and only if $x$ divides $1$ and $t-1$ divides $x-1$ (the divisibilities are meant, of course, in $F[t, t^{-1}]$). Lemma 2...

Homework Statement t^2*y^'' -t(t+2)y^' + (t+2)y=0 , t>0; ysub1(t) = t Homework Equations Reduction of order: A second solution is assumed to be of the form: ysub2(t) = v(t)*ysub1(t) The Attempt at a Solution So, the algebra in the first part of the process seemed to be correct...

Hello, i was looking for ways i can reduce the deflection in the cantilever beam whose one end is fixed and load is applied at the free end. Few i thought of was, 1- Reducing the length of the beam 2- Increasing the modulus of elasticity of the beam 3- ?? 4- ?? 5...... Appreciate your help...

< Mentor Note -- thread moved to HH from the technical chemistryforum, so no HH Template is shown >[/color] I was given this problem: A voltaic sell uses the reaction 4Fe3+ + H2 --> 2Fe2+ +2H+. Find the cell potential when [Fe3+]=1.50 M, PH2=.50 atm, and [Fe2+]=.00100 M and the pH of both anode...

Homework Statement I have got 2 questions like this and I'm struggling any help would be much appreciated please. Thanks Homework EquationsThe Attempt at a Solution

Hi there, Can two Levi-Civia symbols ## \epsilon^{ckl} \epsilon_{ibj} ## reduced to one with indices ## \epsilon_{kij} ## ? WHERE b and c run from 4 to 5, the other indices run from 1 to 3 and both symbols are multiplied by the following matrices: ## A_{ib}^c ~ B^{kl} ~ C_j ~\epsilon^{ckl}...

Dirac had proposed that Gravitational constant would reduce with time.Why?

Homework Statement I'm struggling to perform a symplectic reduction and don't really understand the process in general. I have a fairly solid understanding of differential equations but am just starting to explore differential geometry. Hopefully somebody will be able to walk me through this...

Homework Statement Determine the oxidizing agent, reducing agent, element oxidized, element reduced, # of electrons lost per atom, and # of electrons gained per atom. State if the reaction is not redox. 3FeCl2(aq) ------> 2FeCl3(aq) + Fe(s) Homework EquationsThe Attempt at a Solution...

Homework Statement The reduction of O2 to H2O in acidic solution has a standard reduction potential of +1.23 V. What is the effect on the half-cell potential at 25 °C when the pH of the solution is increased by one unit? O2(g) + 4H+(aq) + 4e- –> 2 H2O(l) (A) The half-cell potential...

Hello! (Wave)Subgraph isomorphism We have the graphs $G_1=(V_1,E_1), G_2=(V_2,E_2)$. Question: Is the graph $G_1$ isomorphic to a subgraph of $G_2$ ? (i.e. is there a subset of vertices of $G_2, V \subseteq V_2$ and subset of the edges of $G_2, E \subseteq E_2$ such that $|V|=|V_1|$ and...

Homework Statement How does the RC-link help with adding ripple to the signal? What would happen if the capacitor was removed (short-circuited)? Homework EquationsThe Attempt at a Solution I believe that the role of the capacitor is to pass on the AC voltage. Initially the capacitor is charged...

Homework Statement Hello, I'm trying to reduce the following block diagram Homework EquationsThe Attempt at a Solution I appear to be having some issues in doing this. The first thing that I did to reduce this block diagram was to take the forward path that has 2/(s+4) with negative...

Homework Statement The method of reduction can be used to solve non-homogeneous equations with non-constant coefficients given by y''+py'+qy=g If Y1 is a known solution to the corresponding homogeneous differential equation, let y = vY1, w = v' Show that if w satisfies the linear first-order...

6) REDUCTION OF DURATION? Why are the durations of species of hominids decreasing over time? The more modern the hominid, the shorter its existence. For example, according to wikipedia, Homo erectus lived from 1,900,000 BC to 70,000 BC. By comparison, the more recent neaderthals lived...

I am confused with the statement given by a website (http://www.chem.ucalgary.ca/courses/351/Carey5th/useful/acidbase.html "Size. When comparing atoms within the same group of the periodic table, the larger the atom the weaker the H-X bond and the lower the electron density making it a weaker...

I don't understand the geometry of what happens when you give a manifold a metric, in particular how the group structure reduces to the orthogonal group. I've read the wikipedia article http://en.wikipedia.org/wiki/Reduction_of_the_structure_group a dozen times but I get stuck when it says that...

Roger Penrose suggested that wf collapse is an objective phenomenon caused by gravity. Is there any actual model for this? For instance, how would the nonlocal collapse work with relativity?

Hi all, as you know, aircrafts are highy dependant on their weight goals to be met or exceeded to ensure the performance perceived during the design studies can be realized. However, it is nonetheless often that the resulting design still becomes overweight in some way or place because you...

I understand that an electron jumps to an excited state after absorbing a photon with the right energy (frequency) in photosystem 1 and exits the structure of the primary pigment, moves through different electron acceptors and returns to photosystem 1 (now at a lower energy state). What I don't...

I am confused with the reduction of quaternary ammonium salt. ##Ph-CH_2-CH_2-N^+Me_3## on reduction with Zn-Hg in HCl will not work. The -NMe3 is not disturbed(given in my text). But why? Also the text says On reduction with LiAlH4 or NaBH4, -NMe3 would be disturbed. what would be the product...

Is it possible to reduce moisture content in Polyethylene glycol or propylene glycol by applying vacuum to around 15000 mTorr for 24 hours. If anyone has any idea please let me know

Hi, my question is that would it be possible to reduce the energy and frequency of gamma rays to visible light then maintain it at that level?

Homework Statement Given - $$y_1(x)=sin(2x)$$, find a second linearly independent solution to $$y''+4y=0$$Homework Equations I'm using reduction of order to write a second solution as a multiple of the first solution. I think I've gotten to the right answer, my main question is in how I...

I propose the Pauling Scale is not valid in all circumstances, and other scales of electronegativity would do better to predict the behavior of electron density in molecules: Electronegativity seems to be poorly defined for such a widely used chemical property: a 'tendency' of an atom or...

Homework Statement Use the reduction of order metho to find a second linearly independent solution. What is the general solution of the differential equation? y'' - y = 0 y_1(x) = e^x Homework Equations Reduction of order formula The Attempt at a Solution First, I set: y = ve^x y' =...

Hello, I have been attempting to reduce Maxwell's equations to the forms shown in the image, by substituting the plane wave solutions for E and B of the wave equations back into Maxwell's equations, but I cannot find a way. Anybody know how to do this?

Homework Statement A window washer pulls herself upward using the bucket-pulley apparatus shown in the figure. How hard must she pull downward to raise herself slowly at constant speed? The mass of the person plus the bucket is 71kg . Homework Equations F of gravity = mg F effort = mg/2 The...

I have a little project, I am building a simple lift that is moved with cable by a 3-phase motor which has it's speed controlled by variable frequency drive. I am going to be implementing PID control into the VFD via PLC that will be based off of a distance reading from an ultrasonic sensor for...

Homework Statement Use integration by parts to find a reduction formula for the integral In = ∫pi/20 sinn(6x)dx when n is a positive integer greater than 1. Homework Equations ∫udv = uv - ∫vdu The Attempt at a Solution Let u = 6x du = 6dx ∫pi/20 sinn(u) (du/6) (1/6)...

Homework Statement Why is this true? Why is it that the reduction of oxygen is more favored in acidic solution rather than in basic solution? Homework Equations Acids are proton donors. The Attempt at a Solution Does this have anything to do with the fact that the...

Dear All, I am estimating a future problem while still in erection phase for 60 MW steam turbine. I may need your help to estimate a solution. Due to some reason my process heater is not able to generate steam at the desired pressure (other parameters including Temperature and Flow rate...

Homework Statement Homework Equations The Attempt at a Solution Here is my attempt : I just can't get the answer the writing near the bottom is me trying to get the left hand side , so you can basically ignore that. But I don't think I made the correct first step... any advice? Didn't...

Homework Statement for this question, i 'm only able reduce it to become x dv/dx = (v^2 + 1) / v ... i have checked it several times, i just couldn't find my mistake... Homework Equations The Attempt at a Solution