Recent content by wavingerwin

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    Probability that A is smaller than B?

    Yes, something to that effect. Is it possible to say "A is smaller than B X% of the time" ?
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    Probability that A is smaller than B?

    Given two data sets A and B, we can, say, conduct ANOVA to see if the average is statistically different. Is there a way to determine what is the probabilty that A is smaller than B? Let's say that we can NOT assume anything about A and B e.g. if they follow a normal distribution.
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    Continuity and differentiability in two variables

    Hi If the function ##f(x,y)## is independently continuous in ##x## and ##y##, i.e. f(x+d_x,y) = f(x,y) + \Delta_xd_x + O(d_x^2) and f(x,y+d_y) = f(x,y) + \Delta_yd_y + O(d_y^2) for some finite ##\Delta_x##, ##\Delta_y##, and small ##\delta_x##, ##\delta_x##, does it mean that it is continuous...
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    Analytical solution of Discrete-time Algebraic Riccati Equation

    Homework Statement Solve for X in the DARE (Discrete-time Algebraic Riccati Equation) analytically. A is diagonal A = [-a\;0; 0 \;a], and B = [b; 0] (in MATLAB notation). Any help is very much appreciated! Homework Equations The DARE is given as A'XA - X - (A'PB+S)(B'XB+R)^{-1}(A'XB+S)' + Q =...
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    Linear Programming - satisfaction only at least one constraint

    The LP I am concerned with has a number of inequalities. However, I need to only have at least one of them satisfied. This can be any combination of the inequalities, not a particular one. Say the LP has 5 inequalities to satisfy. I want to have that satisfying at least one of the 5 means...
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    Linear Programming - satisfaction only at least one constraint

    Linear Programming - satisfaction of only at least one constraint Hi Is there a form of relaxation/modification of an LP of the form \text{min }\;\;f^\mathsf{T}x\\\mathbf{A}x\leq b such that if only anyone of the constraints is satisfied, then the solution ##x## is regarded as feasible...
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    Cross section - scattering of light by light

    Homework Statement Red and green laser (wavelength of 650 nm and 532 nm respectively) are directed towards each other at 20 degrees. Each laser has 5 mW power, with diameter of 1mm. Assuming the intensity of the beams are decreased by 10% each after the 'collision', estimate the upper...
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    Thermodynamics - Simple mixing problem

    Homework Statement Liquid ammonia at 1.5 MPa, 20oC is mixed with saturated vapor ammonia at 1.5 MPa at equal flow rate. At the outlet, 1.3 MPa and quality of 0.85. Calculate the heat transfer per kilogram of ammonia exiting the mixer. Homework Equations The Attempt at a Solution I tried...
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    Subsequent Measurements of two observables, compatible and incompatible pairs

    Homework Statement On an arbitrary state, the observable \hat{A} is measured returning the result a. A compatible observable \hat{B} is then measured returning b. If \hat{A} is then measured again, is the same result a obtained? How about if \hat{A} and \hat{B} are not compatible...
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    What kind of food do astronauts eat?

    I was wondering because they can't possibly bring 'normal' food for weeks/months of trip which need heaps of storage... or can they?
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    Gas expansion at constant pressure

    specific heat, c would equal du/dT so I guess the heat supplied, q, would equal change in u = c dT but c is not given in the question.
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    Gas expansion at constant pressure

    Hi ehild by applying heat and raising its temperature. However, I don't have/know an equation that equates total heating applied (Q) to the raise in temperature..
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    Gas expansion at constant pressure

    Homework Statement 2 moles of gas at 300 K at 0.02 m3 is expanded to twice the original volume at constant pressure, and then adiabatically until T = 300 K again. assume monatomic gas. assume ideal. determine the final volume determine the heat supplied to the overall process determine...
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    Franck Hertz experiment - overheated tube

    Homework Statement What happens when the tube is (a) overheated or (b) too cool. Homework Equations The Attempt at a Solution I searched on google and almost all said: " If the tube has been overheated, the emission current is small, and maxima and minima can hardly be recognized or...
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    How Should Voltage Spacings Be Plotted in the Franck-Hertz Experiment?

    A little background: I am doing the Franck-Hertz experiment and was asked to plot the spacing of acceleration voltage between peaks of output (anode) voltage. Homework Statement Plot/sketch the resulting spacings with the uncertainties on a number line! Homework Equations The...
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