Recent content by aise0603

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    Path dependent function with a defined path

    Can any of the math geniuses comment on this? Thanks,
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    Path dependent function with a defined path

    This question is about if I have a path dependent function but a definite path, then can I integrate along the path to form a 2 dimensional field and then take partial derivatives along directions other than the path? And e.g. are points along path A connected to path B? (Note: all paths start...
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    Is a Black Hole the Most Dense Object in the Universe?

    Typical...
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    Is a Black Hole the Most Dense Object in the Universe?

    But could it be that in a given reference frame, nothing can be more dense than this? Just like nothing can travel faster than the speed of light, in a given reference frame.
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    Is a Black Hole the Most Dense Object in the Universe?

    Mass falling into a black hole will approach the center of the black hole at a given velocity. As it approaches the center of the black hole, from our reference frame, there is time dialation. In fact, at some given closeness, a unit of Planck time, in the mass's reference frame, is longer...
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