Reduction Definition and 472 Threads

Noise reduction is the process of removing noise from a signal. Noise reduction techniques exist for audio and images. Noise reduction algorithms may distort the signal to some degree.
All signal processing devices, both analog and digital, have traits that make them susceptible to noise. Noise can be random or white noise with an even frequency distribution, or frequency-dependent noise introduced by a device's mechanism or signal processing algorithms.
In electronic recording devices, a major type of noise is hiss created by random electron motion due to thermal agitation at all temperatures above absolute zero. These agitated electrons rapidly add and subtract from the voltage of the output signal and thus create detectable noise.
In the case of photographic film and magnetic tape, noise (both visible and audible) is introduced due to the grain structure of the medium. In photographic film, the size of the grains in the film determines the film's sensitivity, more sensitive film having larger sized grains. In magnetic tape, the larger the grains of the magnetic particles (usually ferric oxide or magnetite), the more prone the medium is to noise. To compensate for this, larger areas of film or magnetic tape may be used to lower the noise to an acceptable level.

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  1. QuantumCurt

    Reduce Order | Find Second Solution for $$y''+4y=0$$

    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...
  2. C

    Validity of the Pauling Scale of Electronegativity?

    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...
  3. _N3WTON_

    D'Alembert's Reduction of Order Method

    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' =...
  4. samgrace

    Maxwell equations' plane wave reduction

    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?
  5. Calpalned

    Confusion over the reduction of force for pulleys

    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...
  6. Blake Kopachena

    How can I reduce the speed of my lift without changing its displacement?

    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...
  7. G

    Reduction Formula for Integral (sin(6x))^n

    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)...
  8. Q

    PH dependence of reduction of oxygen

    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...
  9. I

    Steam turbine performance witr reduction in inlet pressure

    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...
  10. L

    How to solve a reduction formula problem?

    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...
  11. D

    Reduction of differntial equation

    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
  12. A

    Equation to find the reduction in velocity during condensation

    Velocity of any flowing vapour reduces as it condenses. Can any of you please suggest the equation to find the reduction in velocity of a vapour as it condense. Thanks in advance.
  13. Y

    Row Reduction to solve for 6 Unknowns

    Homework Statement I am in a calculus class where we are learning the introduction to row reduction. I have done this before in other courses, so I am familiar with the process, but I am not sure about this one. We were given: x4 + 2x5- x6 = 2 x1 + 2x2 + x5 -x6 = 0 x1 + 2x2 + 2x3 - x5 +...
  14. M

    Voltage and standard reduction potential?

    We're doing electrochemistry this week and this concept confuses greatly. I know that voltage is the work per unit charge. And electrons move from high potential(is this voltage as well?) to low potential- what is meant by this by the way? How is this related to standard reduction potential? If...
  15. A

    Remove Pupil Ghost using IRAF rmpupil

    Hi. My name is abi. I was wondering if anyone knew how to remove pupil ghost from images using the rmpupil command in IRAF.
  16. T

    How does zirconium-oxide coating reduce work function in SEM tips?

    Hi Folks, I have been studying some scanning electron microscopy and read that the SEM tip is made from tungsten but is coated with a mono-layer of zirconium-oxide to reduce the work function from 4.5ev to 2.7ev, to make it easier to emit electrons (this is a field emission SEM). Does anyone...
  17. M

    Array reduction for a reaction matrix

    Homework Statement My problem is with a portion of a much larger problem, I'm working on an exercise involving the production of synthesis gas in where there's a reactor in which it is postulated that the following reactions take place: CH4 + CO2 ⇔ 2CO + 2H2 CO + H2O ⇔ CO2 + H2 CH4 + H2O ⇔ CO...
  18. N

    Reduction of decimals when multiplying with a number with 15 decimals

    Hello, Does anyone know a method to reduce the number of decimals in the answer when multypling with a number with 15 decimals? What I want to achieve an answer with 4 decimals or less. x * 86,4716007952918 = y,yyyy X can be any number. Nicolai
  19. A

    MHB Reduction formula instead of using identities for trigonometric integration?

    This is one of the example problems in my book to show how to deal with integrating trigonometric functions to higher powers, by breaking them down into identities. =\int cos^5x dx =\int (cos^2x)^2cos^x dx =\int (1-sin^2x)^2*d(sin x) =\int (1-u^2)^2 du =\int 1-2u^2 + u^4 du =u-\frac{2}{3}u^3...
  20. S

    MHB How Do You Use Reduction Formulae for tan^n x?

    Can someone show me how I would "use" the reduction formulae for tan^n x ? I just want to see an example on when I would ever use it. A simple one will do.\frac{tan^{n-2}x}{n - 1} - \int tan^{n-2} x dx
  21. gfd43tg

    Resistance reduction and source transformation to find voltage

    Homework Statement Use resistance reduction and source transformation to find Vx in the circuit below. All resistance values are in ohms. Homework Equations The Attempt at a Solution For this problem, I know I can combine the 16 Ω resistors, but where I'm having a little trouble...
  22. S

    Prove Reduction Formula: I_n = 3n/(3n+1)I_{n-1}

    If I_{n}=\int_0^1 (1-x^{3})^{n} dx, use integration by parts to prove the reduction formula I_{n}=\frac{3n}{3n+1}I_{n-1}My attempt: let u=(1-x^{3})^{n}, and dv=dx. Then I_{n}=[(1-x^{3})^{n}x]_0^1 - \int_0^1 -3x^{2}n(1-x^{3})^{n-1}x dx = 3n \int_0^1 x^{2}(1-x^{3})^{n-1} dx. But I don't know where...
  23. Y

    How Can I Determine the Number of Solutions in a Dependent System?

    Homework Statement Write and row reduce the augmented matrix to find out whether the given set of equations has exactly one solution, no solutions, or infinitely many solutions. -x+y-z=4 x-y+2z=3 2x-2y+4z=6 Homework Equations The Attempt at a Solution I saw right away that...
  24. I

    Why Does Electrical Purification of Copper Involve Both Oxidation and Reduction?

    Why the electrical purification of copper involves both an oxidation and a reduction process.
  25. Z

    Electrochemical reduction of Hydrogen forms hydride?

    Would the electrochemical reduction of H2 form Hydrogen Anions of H- H2 + 2e- -> 2H- If this is the case, is the following true? H- + (1/2)H2 -> H2
  26. M

    Optimal Blade Design and Reduction System To Lift 5lbs

    Hello, I'm working on a project for my college class where we need to build a windmill that will be able to lift a 5lb mass 3ft above the ground. The energy of the wind is produced by two 20 inch box fans. We are allowed to use several materials- pine wood, ice cream pails, floss, nuts, bolts...
  27. B

    Reduction Gears: Solving Math Problem for 34mm Dial

    Okay, so I am having a problem, I'm not the greatest at math, here is the problem: I need a set of reduction gears, my plan is to have a gear attached to a shaft (base diameter of this first gear is 33mm) with 50 teeth (maybe?) To turn a reduction gear that will be on another shaft that will...
  28. C

    MHB Understanding the Reduction of Order Method for Solving LODEs

    Hi, I'm practicing some of the methods for solving LODE's for my exam tomorrow afternoon and am struggling to understand one of the steps, I'm hoping someone will be able to explain it for me :) So I have the equation $(x-1)y''-xy+y=0$ with x being a solution. Then: $y(x)=xv(t)$...
  29. MarkFL

    MHB Deriving Reduction of Order Formula: Krazy G's Yahoo Answers Q

    Here is the question: I have posted a link there to this thread so the OP can view my work.
  30. T

    What type of chemical reaction does not have oxdiztion and reduction

    what types of chemical reaction does not have oxdiztion and reduction...
  31. A

    Sizing Chamber for Pressure Reduction - CO2 Essential Oil Extraction

    Hello, I am new here and have a question about sizing a chamber for pressure reduction. I am going to run CO2 75 degree at 1000 psi into a chamber that is 150+ degrees. What size chamber...or what volume rather do I need to drop down to the 2-300psi range? I am sure this is a vague...
  32. F

    Differential equation - Reduction of order

    Hi, i have to reduce the order of a 2nd order differential equation, to solve it with a numerical method. The equation is: \ddot{r}+a\dot{r}+\frac{b}{r^{2}}=0 with a,b\geq0 I tried to reduce it substituting \dot{r}=v, but i don't know what to do with the term \frac{b}{r^{2}} ...
  33. Z

    MHB Inverse matrix by row reduction

    Hi, Can anyone help me to inverse the below matrix by row reduction method. I know determinant method but I don't know row reduction method please help me. 4 5 -2 6 thanks.
  34. J

    Application of LSZ reduction in NLO computations (external legs)

    Hello everyone, I have a question about virtual corrections of an external fermion line. According to the LSZ reduction formula and what some other people say, we neglect the self energies of external legs and multiply the wavefunction therefor just with a squareroot of the wave function...
  35. I

    Engineering A little circuit reduction question

    Homework Statement The attached file has a circuit reduction which I can understand all but the missing capacitance C between B' and C' to the ground each from figure (a) in figure (b) Homework Equations N/A The Attempt at a Solution Shouldn't there be another capacitance of 2C in...
  36. S

    Reduction Orifice sizing for desired pressure drop

    Good afternoon, I am trying to size a reduction orifice for a desired pressure drop. I do not need the drop to be specific, since this is just for valve protection and not for metering. D1 (Pipe) = 2.5" P1 = 125 PSI P2 Required = 75-85 PSI Q = 1020 gal/hr Fluid = Water, 90 Deg F...
  37. MarkFL

    MHB Mike's question at Yahoo Answers regarding reduction of order

    Here is the question: I have posted a link there to this topic so the OP can see my work.
  38. P

    Image reduction and analysis software for windows

    I'm not sure if this question belongs here, if that is the case I'm sorry. I've been desperately trying to install IRAF on windows. Nothing seems to work. I've considered installing a Linux distro but since I'm using windows 8 that is not an option. So my question is: has anyone been able to...
  39. R

    Exploring Oxidation and Reduction in d4 Transition Metals

    Why is Cr2+ reducing while Mn3+ oxidizing when they both have d4 configuration?
  40. P

    Reduction of area with the elastic deformation?

    In the tensile test practical for ductile materials, up to the elastic limit, the deformation is recoverable (no line defects). My question is can there be a reduction of area with the elastic deformation? If yes, how it happens? I'm a beginner. Thank you!
  41. M

    Junior Engineer Seeking Help Designing Gearbox for 25:1 Reduction

    Hello good people, I'm a junior engineer currently studying in an Adv.Diploma in Mechanical Engineering. I have been tasked with the project of designing a gearbox and I'm having a bit of difficulty getting started as I'm not that experienced with gears. The client requires a 25:1 reduction...
  42. T

    Holographic principle, mathematical universe & dimensional reduction

    If the holographic principle says that the the observable universe could be represented as a two dimensional surface, and we accept the idea that the universe is itself a mathematical object, and cantor showed that we could in some cases represent higher dimensional sets within lower dimensional...
  43. B

    Calculate Jones Reductor Equilibrium Constants @ 298.15 K

    Homework Statement Give the reactions that take place when the following solutions are passed through a Jones-redactor (amalgamated zinc), and calculate the equilibrium constant at 298.15 K for each. 0.01 mol/dm3 CuCl2 0.01 mol/dm3 CrCl3 0.01 mol/dm3 NH4VO3 (pH =1) Data: Couple, E°...
  44. M

    Integration (fromula of reduction)

    Referring to the paint document. Could they have easily changed m into m + 2 or m + 1.5? Or does it have to contain the variable m and n?
  45. S

    Sound Power Reduction When Halving Air Flow Velocity and Doubling Grill Area

    If the velocity of air flow through a grill is halved but the area of the grill is doubled, By what factor will the sound power be reduced? air flow through a grill represents a dipole sound source, so it depends on the 6th power of velocity, but how does it depend on the area? If I take sound...
  46. L

    Help to find force given a diameter reduction (Poissons Ratio)

    Homework Statement Mild steel bar 40 mm diameter and 100 mm long, subjected to a tensile force along its axis (through central length) Youngs Modulus = 200GN m^-2 Poisson's ratio = 0.3 Calculate the force required to reduce the diameter to 39.99mm (there is also a picture saying Use...
  47. L

    Standard reduction potential and half reactions

    Homework Statement Determine what redox reaction, if any, occurs (at 25° C) when lead metal (Pb) is added to 1.0-M solution of NiCl2 Homework Equations Ecell = Ecathode- Eanode Here is standard reduction potentials given for Pb and Cl Pb2+(aq) + 2e- → Pb(s) E°(V) = -0.13 Cl2(g) 2e-...
  48. P

    Time Reduction for Batch transfer by using a pump

    Refer to the attached image Overview The feed to V12 comes from distillation unit, where batch production rate is 16 Ton/day and at 220 degC. At first it is cooled to 160 degC in V12. Now this bulk is transferred from V12 to V18 using N2 gas pressure. All the transfer lines are jacketed...
  49. P

    Dimensional reduction of 10D N=1 Super Yang Mills to 4D

    Homework Statement Given N=1 SYM in 10 dimensions (all fields in the adjoint representation): \int d^{10}x\, Tr\,\left( F_{MN}F^{MN}+\Psi\Gamma^M D_M\Psi\right) D_M\Psi=\partial_M \Psi+i[A_M,\Psi] is the gauge covariant derivative. Reduce to 4 dimensions A_M=(A_\mu,\phi_i)...
  50. K

    Oxidation Reduction (redox) Balancing

    When balancing oxidation reduction reactions involving acids or bases, what (in the case of acids) allows you to add H+ ions to one side of the reaction and H2O to the other, or in the case of bases, OH- and H2O to balance out hydrogen/oxgen? Normally you are not allowed to just add random...
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