Recent content by ZachN
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Graduate General Method of Characteristics Problem
Yeah, you're correct, quasi-linear hyperbolic PDE. The reason the "compatibility equation" is needed is that the governing relations for the particular flow-field are PDEs, they need to be reduced to total differential equations. The characteristics are the paths of a physical disturbance, in...- ZachN
- Post #5
- Forum: Differential Equations
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Graduate General Method of Characteristics Problem
Well, I'm learning this from a section in Gas Dynamics by Zucrow. It only presents one method... It says to find the characteristic from \frac{dy}{dx} = \frac{b}{a}. In this case a = u, b = 1, c = -u. So, \frac{dy}{dx} = \frac{1}{u}, integrating yields uy=x+c1 or y=\frac{x+c_{1}}{u}...- ZachN
- Post #3
- Forum: Differential Equations
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Graduate General Method of Characteristics Problem
Hello! I am trying to solve... u*ux + uy -u = 0 with i.c. u(x,0) = x +10 Determine: a.) characteristic equation b.) compatibility equation c.) value at u(5,10) I've tried the general method of determining the characteristic equation dy/dx=b/a and attempted...- ZachN
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- General Method
- Replies: 4
- Forum: Differential Equations
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How to Determine Round-Off Error in a C++ Program?
No one can offer even a suggestion? Maybe my code is a bit confusing.- ZachN
- Post #2
- Forum: Engineering and Comp Sci Homework Help
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How to Determine Round-Off Error in a C++ Program?
Homework Statement Not a homework just self-teaching. I want to write a program which determines the round-off error of a number. Homework Equations re = Abs(x-x*)<= 0.5x10(n-2) x*-0.5x10(n-2) < x < x* + 0.5x10(n-2) The Attempt at a Solution #include <iostream> #include...- ZachN
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- Error Program
- Replies: 1
- Forum: Engineering and Comp Sci Homework Help
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Graduate What is the fabric of space made of
50% Cotton, 25% polyester and 25% Lycra Spandex.- ZachN
- Post #29
- Forum: Astronomy and Astrophysics
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Graduate What is the fabric of space made of
Yes, a Concentration (of varying concentration - a density gradient) of virtual particles. So all matter and energy is just our collective conscious agreeing that something of such and such form is "here" or "there". This is metaphysics.- ZachN
- Post #28
- Forum: Astronomy and Astrophysics
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Graduate What is the fabric of space made of
Well, I agree with you all then. All I am saying is that a vast majority of physicists don't recognize an ether-like medium at all - they just think "space-time". I agree that Einstein did not intend to do away with a medium but that his work has accomplished that accidentally. Looks like an...- ZachN
- Post #17
- Forum: Astronomy and Astrophysics
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Graduate What is the fabric of space made of
Agreed. It may very well be energy. But it isn't "nothing" - as in an absolute vacuum or some abstract notion of space and time - it must be comprised of something or be represented by something. But go talk to engineering and physics students at any level and I will bet you that they do not...- ZachN
- Post #12
- Forum: Astronomy and Astrophysics
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Graduate What is the fabric of space made of
Exactly, I agree... this is the problem in physics today. Einstein, I believe has set physics back 100 years not because what he developed is wrong but because it has gotten everyone else lost. It is impossible that a thing called space-time is affected by matter if space-time is actually...- ZachN
- Post #8
- Forum: Astronomy and Astrophysics
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Undergrad What is the nature of gravity constant?
Proportional to the velocity was just an example.- ZachN
- Post #21
- Forum: Special and General Relativity
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Undergrad What is the nature of gravity constant?
The true nature of the constant is that it is there to make up for a lack of understanding for the true mechanism for gravity. Constants are used to express values we can't explain through other means. That is the dirty secret of science. e.g. - the resistance(drag) of an object falling...- ZachN
- Post #19
- Forum: Special and General Relativity
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High School Looking for Layman's Physical Explanation for Gravitational Time Dilation
Time dilation occurs because we are observing things in one reference frame from another reference frame. We can ramble on about whether or not this is is accelerating or that is accelerating but it just comes down to basic idea of reference frames - time isn't really "changing". We are just...- ZachN
- Post #32
- Forum: Special and General Relativity
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What is the Vector Product of a Force and a Point?
I don't want to argue about it cause I came here for help but a moment is directly related to acceleration. There can be no moment without an acceleration. A moment requires a force and a force is mass times acceleration. The moment about an axis M = r (length of moment arm) cross F (or times...- ZachN
- Post #7
- Forum: Calculus and Beyond Homework Help
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What is the Vector Product of a Force and a Point?
In order for there to be a moment there is velocity and acceleration - so it must be able to be expressed in terms of angular or linear velocity. Are you guys saying I have the right answer.- ZachN
- Post #5
- Forum: Calculus and Beyond Homework Help