Recent content by azatkgz

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    Please, can someone explain me spatial coherence?

    Please,can someone explain me spatial coherence?
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    Find Critical Points of Hessian Matrix

    Morse index for (0,0,-1) det\left|\begin{array}{l[cr]}-\lambda &12&0\\12&2-\lambda &0\\0&0&2-\lambda\end{array}}\right|=0 (2-\lambda )(-\lambda(2-\lambda)-144)=0 \lambda_1=2,\lambda_2=1-\sqrt{145},\lambda_3=1+\sqrt{145} for (24,-144,-1)...
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    Find Critical Points of Hessian Matrix

    Please,check my solution. Find critical points of the function f(x,y,z)=x^3+y^2+z^2+12xy+2z and determine their types (degenerate or non-degenerate, Morse index for non- degenerate). Attempt \frac{df}{dx}=3x^2+12y=0 \frac{df}{dy}=2y+12x=0 \frac{df}{dz}=2z+2=0 Critical points...
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    Explaining the Sun's Effects on Rough Surfaces Covered in Water

    Can it be total internal reflection.In this case light cannot go out from the liquid.
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    Find the Speed and Direction of a Wave with Constants A, B, and C

    No,it's original question.There's no imaginary constant. So my solution is true.Thanks for checking.
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    Singing in Helium: How Density Affects Resonance Frequency

    Then if we change the medium velocity will change,right? Velocity of sound wave in the should be faster. From V=fw If velocity increases then wavelength also.Frequancy remains constant. Is it Right?
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    Explaining the Sun's Effects on Rough Surfaces Covered in Water

    Rough (not smooth) surfaces often appear to be darker in sunlight when they are covered by water.How can we explain this physical phenomen?
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    Singing in Helium: How Density Affects Resonance Frequency

    Homework Statement When you sing, the vocal folds in your throat act as a resonating cavity (one open end, one closed end) which allows only certain frequencies. Suppose you try to sing a pure tone which is detected by a microphone and measured to have a frequency 500.0 Hz. This is the...
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    Find the Speed and Direction of a Wave with Constants A, B, and C

    Homework Statement What's the speed and direction of the following wave(A,B and C are constants) y(x,t)=Ae^{Bx^2+BC^2t^2-2BCxt} The Attempt at a Solution y(x,t)=Ae^{B(x-Ct)^2} from (x-Ct) v=C in the +x direction
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    How do I calculate the arc length of a polar curve?

    It's easy question,but I don't know whether I solved it correctly. Homework Statement Calculate the length of the curve given by r=a\sin^3 \frac{\theta}{3} in polar coordinates. Here, a > 0 is some number. Homework Equations l=\int \sqrt{r^2(\theta)+(\frac{dr}{d\theta})^2}d\theta...
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    What Distance x Gives the Least Period for a Physical Pendulum?

    Moment of Inertia of the center of mass is I_0=\frac{mL^2}{12} If it is pivoted distance x from the centre I=I_0+mx^2 T=2\pi\sqrt{\frac{I}{mgx}}=2\pi\sqrt{\frac{I_0+mx^2}{mgx}} for T minimum we have \frac{dT}{dx}=0
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    Velocity-Based Differentiation for B(s) in a Simple Homework Problem

    Is the velocity constant? Do you mean by rate of change \frac{dB(s)}{dt}? And I think it would be better if you post whole question.
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