Reduction Definition and 472 Threads

  1. N

    How to get better at row reduction?

    Please don't say just practice. Any specific tips? In my class we're not allowed to use calculators, consequently I am spending all my time row reducing to find basis, dependence, etc. Frankly, I am just horrible at it, I just can't see how to get to the end. I am a bit perplexed on the...
  2. B

    Does Reduction of Order Always Solve Non-Homogeneous Second Order ODEs?

    Hi, say I have a second order ODE a_1 \left( x \right)\frac{{d^2 y}}{{dx}} + a_2 \left( x \right)\frac{{dy}}{{dx}} + a_3 \left( x \right)y = f\left( x \right) and I have y_H = h\left( x \right) which satisfies the DE for case of f(x) = 0. Can I always, in principle, find the general solution to...
  3. D

    Maple Maple gaussian reduction multiplying rows

    Hello, I am using maple for gaussian reduction. I have to do it row by row for 1 part > g:=swaprow(f,1,2); [ 0. 3.5 3.5 3.5] [ ] g := [ 2 -1 -5 -7] [ ]...
  4. P

    Reduction in consumption of fossil fuels

    One of the Earth's resources is oil (and other fossil fuels.) Prices are going up! Up and up and up! We are consistently over 60 dollars a barrel now, electric costs are rising as a result, and so is paying at the pump. How do we stretch out resources to ease the strain on our pocketbook...
  5. E

    Why Doesn't Reduction Order Work for This Differential Equation?

    Here is one more I am having a problem with: 4x^2y'' + 4xy' + (4x^2 - 1)y = 0, x > 0 one solution is y1(x) = sin(x)* x-1/2 but when I try to work it all out with another linearly indep. solution y2(x) = u(x) sin(x) * x-1/2 the order does not reduce and the y'' is huge... so I...
  6. P

    Gauss-Jordan Row Reduction for Linear Systems

    Use guass jordan reduction 4x+y-3z=11 2x-3y+2z=9 x+y+z=-3 Please show all row operations.
  7. J

    Tap Water Flow Reduction: Why Does Distance Matter?

    Hi, Please could someone explain why it is that the cross section of water emerging from a tap decreases with tap distance ... is it due to air resistance acting to form some kind of aerodynamic shape? any thoughts would be much appreciated!
  8. H

    Effects of spontaneous gravity reduction

    Can anybody direct me to a discussion on the effects of a sudden reduction of the Earth's gravity - say by 50%? Purely speculative, of course. I'm assuming its orbit around the sun would be essentially unchanged, but that the moon would recede or maybe head off on its own merry way. Any other...
  9. C

    Oxidation and reduction Disproportionation

    We call reactions in which one species experiences both oxidation and reduction Disproportionation - but why do we chose this particular name? Thanks. :smile:
  10. D

    Logic Systems Boolean Reduction Question

    Logic Systems Boolean Reduction Question! Ok i received an assignment due on monday and have to idea how to get started...i am supposed to design a traffic light using the following criteria: a) The east west (E-W) traffic light will be green whenever both lanes C and D are occupied. b) The...
  11. D

    Digital Electronics Boolean Reduction

    Digital Electronics Boolean Reduction! Help Please Ok i need to figure out how to reduce this I've been working on it for 2 days straight and can't figure it out...please help...its due tommorow :rolleyes: :cry: (ab)(\overline c + \overline d)+(a+b)(\overline c \overline d)
  12. A

    Paper Bumpers for Collision Reduction

    What type of bumper, made only of one sheet of paper and masking tape, would be most effective in a collision between a wooden block and a 1 kg cart? I have experiment with several designs including cylinders, spring-like compression bumpers and square pyramids, but none seem to work very well...
  13. L

    From the Schrödinger equation to the wavepacket reduction axiom

    In the very first pages of "Quantum Mechanics" by Landau & Lifchitz, the measurement process is described as an interaction between a quantum system and a "classical" system. I like this interpretation since any further evolution of the quantum system is anyway entangled with the "classical"...
  14. Z

    Reduction of Gravity: Effects on Object Motion

    Okay, if... The Earth's gravity was 1/6 of what it normally is, then would I be correct to assume that objects being thrown up with the same velocity will stay in the air 6 times as long? If not, what's the relationship? Thanks.
  15. P

    First Step in Finding an Integration Reduction Formula for (4-x^2)^n

    I'm trying to find an integration reduction formula for the following equation: {{I}_n}=\int _{0}^{2}{{\big(4-{x^2}\big)}^n}\delta x Any indication on how to begin would be much appreciated as I've tried many different approaches but all have ended in failure. Thanks
  16. R

    Gear Reduction Help for Kinetic Sculptor w/ Small Budget

    I am a kinetic sculptor in need of some gear reduction help. I have a 2250 rpm .5 hp electric motor. i need to reduce the rpms to less than 5. the gear drive will turn a 30" plywood wheel, and it must turn slowly. the electric motor is the only one I have, so i must use it. I have a small...
  17. M

    How Do You Approach Reduction of Order for This Differential Equation?

    Although on the whole my Boyce & DiPrima book is fairly good in of itself and compared with others, but of-coarse some areas are lacking. vt'' - 3v' = 0 I suppose I integrate twice, but then what?
  18. A

    Variation of Parameters for Solving Differential Equations

    I can't seem to properly solve this problem: ty" - (1+t) y' + y= t^2 e^(2t) , t> 0; ysub1= 1+t any help would be appreciated
  19. N

    Noise reduction in a jet engine

    I am in the process of writing a report on the Physics of Jet engines and I have come across a problem I cannot comprehend. In the exhaust of many jet engines they allow the atmospheric air to mix with the air from the engine to reduce exhaust noise. From what I understand this allows the...
  20. S

    How Do I Proceed with Variable Row Reduction?

    Can anyone help me with this. I am asked to solve the following matrix with Row Red. Algorithm, [ a 3 (1+a) | -a ] [ 1 a 3 | -2a] [ 1 1 1 | 0 ] I get to something like [ 1 1 1 | 0 ] [ 0 a-1 2 | -2a] [ 0 3-a 1 | -a] but what do I do now?
  21. J

    Oxidation + Reduction Half-Reactions

    Hello, I was curious if anyone could explain to me the simple procedure/guidleines to carrying out oxidation (half-reactions), reduction (half-reactions) and overall net reactions. I've read my Chem book over and over, but I don't quite understand it. Even a pointer to a good site with a...
  22. J

    Possibility of air drag reduction by total-surface-based propulsive mechanisms?

    If a vehicle could continuously cool the air in front of it and heat the air behind it, the air in front should contract and the air behind expand, reducing the pressure in front of the vehilce and increasing it behind the vehicle. This should pull the vehicle into the cooler air at the front...
Back
Top