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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    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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    What is the Probability of Finding an Electron in a Specific Angle in Hydrogen?

    probability = \int\int \frac{1}{4}\frac{3}{2\pi}sin^{3}\theta e^{\phi} d\phi d\theta Should be probability = \int\int \frac{1}{4}\frac{3}{2\pi}sin^{3}\theta d\phi d\theta
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    What is the Probability of Finding an Electron in a Specific Angle in Hydrogen?

    Homework Statement Calculate the probability of finding the electron in a hydrogen within the angle \pm30\circ from the x-y plane.The hydrogen is in the (2,1,1) state. Homework Equations probability = \int\int\int\left|R_{2,1,1}\right|^{2} \left|Y^{1}_{1}\right|^{2} r^{2} sin(\theta) dr...
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    V dot (dv/dt) = (0.5)*(d/dt)*(v^2) ?

    Aha, I see. Or more elaborately: \frac{d}{dt}v^{2} = \frac{dv}{dt}\frac{d}{dv}v^{2} = \frac{dv}{dt}2v Thanks rock!
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