Ratio Definition and 1000 Threads

  1. M

    Relation between Signal to Noise ratio and Logical Interference

    Hi there, I want to modify a equation which is written for Singal to Noise Ratio. Now I want to change for logical interference. But I could not find any reliable source of explanation, " [FONT="Arial Black"]what is the relation between SNR/SINR and interference(Logical/Physical)?"
  2. L

    Common-mode rejection ratio and Instrumentation and difference amplifiers

    Homework Statement 1. a) If we wish to record an ECG of amplitude 1mV in the presence of interference that causes a common-mode voltage of 100mV to appear on the inputs of the amplifier, then what common-mode rejection ratio (CMRR) do we need require if we need a signal to noise ratio better...
  3. D

    Derivation of the equilibrium saturation ratio equation?

    Homework Statement S=1+(a/r)-(b/r^3) Homework Equations need to find r=sqrt(3b/a) and S=1+ sqrt((4a^3)/(27b))) from a derivation of the above formula in #1. The Attempt at a Solution 0=(3b/r^4) - (a/r^2)
  4. C

    Calculating Signal to Noise Ratio for Multiple Choice Exams

    I've been trying to figure out how to get the signal to noise ratio of a completely multiple choice type exam. I can't do it and it's driving me nuts, so finally I found this website and decided I'd ask. :D Say you let your students take a multiple choice test and you are able to get all...
  5. C

    Classical Mechanics, Double Star, Find the ratio of the masses

    Homework Statement The two components of a double star are observed to move in circles of radii r1 and r2. What is the ratio of their masses? (Hint: Write down their accelerations in terms of the angular velocity of rotation, ω.) Homework Equations Newton's 2nd law? law of...
  6. D

    Ratio between 2 capacitors from known energy ratio

    Homework Statement Two capacitors connected in series store energy U. Now the two capacitors are connected in parallel to the same voltage source and have energy 5U. What is the ratio of the larger to small capacitor?Homework Equations For series capacitors Ceq=C1C2/(C1+C2) For parallel...
  7. nukeman

    So lost on exact trig ratio questions Please help

    Homework Statement I am reviewing some trig, and I forgot how to do this. Please let me figure this one simple thing out. Here is the questions. Find the exact trig ratios of 5∏/6 Ok, now look at my diagram below to see where I am having trouble with! What simple process am...
  8. O

    MHB How Does the Limit of Logarithms Compare Two Functions Asymptotically?

    Hello everyone! I'm considering the problem of comparing the asymptotic behavior of two functions $f(x)$ and $g(x)$. We can say that if $\lim _{x\rightarrow \infty} f(x) / g(x) = \infty$ then f is asymptotically greater than g. Similarly, if this limit is 0, then f is asymptotically less than...
  9. R

    Proof that ratio of the products of odd and even numbers converges

    Homework Statement Show that a_{n} = \frac{1 \cdot 3 \cdot 5 \cdot ... \cdot (2n - 1)}{2 \cdot 4 \cdot 6 \cdot ... \cdot 2n} converges when n \rightarrow∞ and n is a natural number Homework Equations None that I can think of.The Attempt at a Solution This was from an exam and I was pretty...
  10. M

    Can a Charge to Planck Mass Ratio Be Validly Calculated?

    Is there anything wrong in saying there can be a charge to Planck Mass ratio? I calculate it as \frac{e}{M_p} \propto 1.861 721 726 984 943 \times 10^{-10} C/kg But I find no references by any science that they have done this?
  11. A

    Simple Gear Ratio Problem: Solving for Wheel Rotation with Formula

    Homework Statement In a bicycle, the ratio between the size of the wheel sprocket to the size of the crank sprocket is 2.5 which means... An example of one of the answer choices is: The rear wheel turns ___ times for every full rotation of the pedals. Homework Equations The...
  12. H

    Explaining the 9:3:3:1 phenotypic ratio genotypically?

    In a dihybrid cross of let's say pea plants we get the famous 9:3:3:1 phenotypic ratio. Could this phenotypic ratio be explained genotypically?
  13. N

    Calculating Mixing Ratio of Hydroxyl Radicals at Sea Level

    A typical global concentration of hydroxii radicals (OH) is about 10^6 moleculues/cm^3. What is the mixing ratio corresponding to this concentration at sea level P = 10^5 Pa and T=298 K? Using the previous equations derived earlier ndOH= (P*Av/R*T)*COH (ndOH*R*T/(P*Av) ) = COH (10^6...
  14. H

    Automotive Torque/hp philosophy (infinant gear ratio)

    I am still trying to visualize horsepower and torque seen on the racetrack, and its hard. Obviously torque is a component of horsepower. Without enough torque, a car would take forever to reach its power-band. With a lot of torque, but merely no horsepower, a car would have a very steady...
  15. C

    Natural frequency, damping ratio and steady state amplitude help needed

    (1) A mass of 3.0 kg is suspended from a vertical spring and produces a static deflection of 60 mm. The system is also subjected to viscous damping of 36 N s/m. Calculate the value of the: (a) natural frequency i. In Hz ii. And rad/s (b) damping ratio...
  16. A

    Integral test and ratio test on haromonic series.

    So harmonic series diverges because of the integral test but if I try it on ratio test = (1 / ( x+1 )) / (1 / x) = x / (x + 1) and this is less than 1 so shouldn't it converge?
  17. G

    Limit of ratio of nested radicals

    Homework Statement I have a sequence an+1=sqrt(2+an) ,with a0 = sqrt(2) which leades to nested radicals. I am asked to show that for n approaching infinity: 1) the sequence converges to 2, and that 2) lim {(an+1 -2) / (an -2)} = 1/4 The Attempt at a Solution 1)I have proven the...
  18. P

    Inverse ratio and proportion question

    I understood that for a direct proportion such as "if 6 mangoes cost $12, then how many dollars worth are 12 mangoes?", we have to first divide 12 by 6 to get the no. of divisions of 6 in 12 i.e. precisely 2 and then as 1 division is worth $12 we multiply the two divisions with $12 and that's...
  19. A

    Pathological PDFs. eg: ratio of normals including Cauchy.

    Hi all, I've been having a discussion about doing calculations on data which is supposedly Gaussian. And (Of course) there is a problem: Once operations are performed on the measurements -- such as taking a ratio of one kind of measurement to another; the result is often no longer a Gaussian; In...
  20. W

    Proof of ratio distribution normal and uniform

    Let X be standard normal and Y uniform [0,1] find the distribution of Z=X/Y. i think i managed to deal with this problem up to the integral stage: P(X/Y< t ) = P(X<Y*t ) thought of : 1. F_{z}(t) = \int^{1}_{0}\int^{yt}_{0}f(x,y)dxdy 2. F_{z}(t) = \int^{yt}_{0}f(x)dx maybe is neither one of...
  21. X

    Finding the Optimal Ratio for Two Concentric Spheres in a Capacitor

    Homework Statement It's desired to build a capacitor which has two concentric spheres separated by a dielectric of high permittivity, low loss, and high dielectric strength. Calculate the ratio of sphere b's radius to sphere a's radius which produces the lowest electric field between the...
  22. 5

    Calculating Heat Flow Ratio of Two Water Tanks

    Homework Statement There are two tanks with water, there are standing very close to each other. Tank 1 is having a temperature of 0 degrees and tank 2 is having a temperature of 10 degrees. The heatflow between the two is Q1. Then tank two is getting a temperature of 100 degrees. That heatflow...
  23. E

    Lowest surface to volume ratio for an uncovered vessel

    Hi, It is well known that a sphere has the lowest surface to volume ratio. However, a related question is: What is the shape that gives the lowest surface to volume ratio if you do not include the "top" in the surface. That is, what is the maximal volume of an uncovered vessel of a fixed...
  24. DeusAbscondus

    MHB Discovering the Truth Behind the Side Ratios of a 30:40:90 Triangle

    (Plse bear with me: until i learn how to fly this thing, / must stand for radical) If the side ratio for a 30:40:90 deg right triangle are 1 : /3 : 2 then, is the following true: one may multiply this ratio by 1,2,3 or 5,6,7,8,9 or 10 and the pythagorean identity obtains but NOT by 4 If so...
  25. O

    Why Use Cooling Air in Gas Turbines Instead of Lowering Fuel/Air Ratios?

    Gas turbine fuel/air ratio & cooling, help please! Hello Dear Colleagues, I am doing a gas turbine project and I wonder why we use cooling air instead of decreasing the fuel/air ratio after getting the following results from my gas turbine thermodynamic model. I have a mechanism in my model...
  26. H

    Transformer output voltage Vs turns ratio: HELP

    I just built a transformer to the specs of the original. The transformer has a turns ratio of 1:16. Input to primary is 12V. The problem I am having is a very low voltage at the secondary side. The no load voltage was the highest (40V) that I have got out of it so far. The primary coil...
  27. B

    An angle - why an angle is the ratio of two sides of a triangle?

    An angle -- why an angle is the ratio of two sides of a triangle? Perhaps I should have already learned this, but I just can't seem to grasp why an angle is the ratio of two sides of a triangle, or the length of a circular arc by its radius.Why is this so?
  28. P

    Ratio of two polynomial functions - integral

    The problem is :- Integral of (1+x^4) / ( 1 + x^6) . dx I have reduced it to a form of Integral of 2.sqrt(tantheta) / ( 1 + tan^3 theta ) over dtheta where x^2 = tantheta. However I cannot reduce it further. How do I proceed ? In general, how do I proceed given a problem of the form...
  29. F

    Hypothesis testing for ratio estimation

    Homework Statement Hi, this is a stats question, hope I'm asking it in the right place. I am estimating an animal populations health based on it's weight to length ratio, I have a population ratio (10grams/cm) from 5 years ago and a sample estimate made from recently gathered data. I am...
  30. T

    Prove the ratio of AX:XB = 1:λ if X is a point on a circle

    Homework Statement The points P and Q divide a given interval AB internally and externally respectively in the ratio 1:λ. The point X lies on the circle with diameter PQ. Prove that AX:XB=1:λ Homework Equations None The Attempt at a Solution Basically, if we define the centre of PQ and the...
  31. G

    Job Skills Application:interview ratio in the U.S.?

    When applying for entry level positions (flipping burgers for McD's), how many applications do you have to fill out to get a job? I've been applying for about 5 years, and did exactly 60 applications in the last two weeks alone. I have never been contacted by any employer, and have no paid work...
  32. G

    Easy Ratio Vector Question, but not sure if answer is wrong

    Homework Statement Let A, B be points in R3 with position vectors a:(7,-2,3) b:(1,-5,0) Let Q be the point on AB such that AQ= 2/3 AB Find q, the position vector of Q Homework Equations The back of the book says the answer is: (2,-3,-1) The Attempt at a Solution First, I found...
  33. T

    Determine the modulus of elasticity, Poisson's ratio and the shear modulus.

    Homework Statement A rod with a diameter of 1.00 in and length of 6.0 ft undergoes an axial deformation of 0.150 in when subjected to an axial force of 52.0 kip. The diameter of the rod decreases by 0.0007 in at this load. Determine the modulus of elasticity, Poisson's ratio and the shear...
  34. A

    Question about calculating ratio of Relative Difference

    I was hoping someone might be able to help sort out where I am going wrong in my calculation of the ratio of relative difference. Value1= .0759 Value2= .0544 SqRt(.0759 / .0544) = 1.181195 The above calculation seems to work, but in a situation like below where the values are...
  35. M

    How the efficiency of transformer affects turn ratio

    A secondary textbook said that if there is no flux leakage, Vp/Vs=Np/Ns, no matter what is the efficiency of the transformer. May I know will the ohmic loss and eddy current contribute to the loss and modify the voltage ratio? thanks!
  36. H

    Trebuchet: Projectile Arm Length to Counterweight Arm Length Ratio

    I am working on creating a mid size trebuchet with a projectile arm length of 3 feet. The counterweight is about 3500 grams, with the projectile being 60 grams. I know that the ratio of the projectile arm length to the counterweight arm length changes depending on several factors, most...
  37. J

    Velocity Ratio and Lever Confirmation

    Homework Statement Calculate the velocity ratio of the attached lever. Homework Equations Velocity Ratio = Distance moved by effort * Distance moved by load The Attempt at a Solution Ok I'm having some confusion over this question. I cannot figure out whether the 'Distance...
  38. T

    Terms of a geometric series and arithmetic series, find common ratio

    Homework Statement Different numbers x, y and z are the first three terms of a geometric progression with common ratio r, and also the first, second and fourth terms of an arithmetic progression. a. Find the value of r. b. Find which term of the arithmetic progression will next be equal to...
  39. A

    How Does Frequency Alter Output Voltage in an RLC Circuit?

    Homework Statement A radio tuner built by connecting an L=0.58mH inductor and variable capacitor in series with an antenna. The driving voltage is provided by the radiowaves that pass through the antenna, and the total internal resistance of the circuit is R=2.6Ohms. The variable capacitor is...
  40. C

    Estimating the order of magnitude of a ratio of two cross sections

    The question is "Make a simple estimate of the order of magnitude of the ratio of the cross sections (electron,positron->2photons) and (electron,positron->3photons)" Now I know that cross section is proportional to (1/q^4)*(Phase space factor)*(Coupling constant) where q^2 = E^2 - p^2. We are...
  41. V

    Finding the ratio of masses in constant acceleration motion

    Homework Statement An engine provides a constant force F to a car of mass M that carries a box of mass m on the top of it. After traveling from rest with constant acceleration a1 for 20 seconds, the speed of the car becomes 40m/s and at that instant the box falls off the car. In the next 20...
  42. A

    Does the Ratio Test Confirm Divergence for This Series?

    Ratio Test, SUPER URGENT, help? Consider the series ∑ n=1 to infinity of asubn, where asubn = [8^(n+4)] / [(8n^2 +7)(5^n)] use the ratio test to decide whether the series converges. state what the limit is. From the ratio test I got the limit n-> infinity of [8^(n+1+4)] / [(8(n+1)^2...
  43. O

    How to find damping ratio from a graph ?

    I have a graph. I have all its (x,y) values. How can the damping ratio from this graph ?
  44. K

    Dimensional analysis - quantum and classical lengthscale ratio

    Homework Statement I was supposed to use dimensional analysis to approximate the length scale (in classical and quantum mechanics). The results I got(same as those in the answer sheet): classicalyl_c≈\frac{e^2}{4πm_ec^2ε_0}≈2.8*10^-15m In quantum mechanicsl_q≈\frac{h}{m_ec}≈2.4*10^-12m...
  45. J

    How Does Efficiency Impact Velocity Ratio in a Third Class Lever?

    Homework Statement Calculate the velocity ratio of the system. Third Class Lever Efficiency = 65% Mechanical Advantage = 1/6 Work Put In 3000J (I know if the system was theoretically 100% efficient the velocity ratio is 1/6 or 0.167) Homework Equations Velocity Ratio =...
  46. E

    Increasing Damping Ratio: Does it Make a Circuit More/Less Damped?

    If the damping ratio of a damped circuit is increased, does the circuit become more or less damped? I would think it would become more damped, but what exactly is the definition of the damping ratio?
  47. B

    Definition wind tunnel blockage ratio

    Hello, I’m designing a 2D wind tunnel model for my master thesis. It will be a profile equipped with a fixed hinged trailing edge flap. I’m going to measure at different angle of attacks and different flap settings at low speeds (about 70 to 100 m/s). The aim is to measure steady and unsteady...
  48. S

    Ratio of distance before bar slides

    Homework Statement A uniform square bar lies horizontally across two supports, A and B. B is fixed to the floor, and A is moved toward center O of the bar with uniform speed. Initially, A slides along the underside of the bar, while the bar remains at rest with respect to B. When A reaches...
  49. Z

    Trig ratio question (picture included)

    Homework Statement Hi, How do I solve for y in this triangle? (picture in attachment) Homework Equations So I use the special angel ratio and get sqrt(3)x = y + 20 and then from the smaller triangle I get tan(theta) = 20 / x What do I do next? Thanks. The...
  50. zoobyshoe

    Poll: The Ratio of Men to Women in Your Math/Science Classes

    It's my perception from random remarks that have been made here over the years that most people's math/science classes have been populated by a markedly higher proportion of men than women, and that interest in math/science dooms guys to a sort of involuntary monastic existence, as far as...
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