Recent content by AlanTuring

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    Magnetic field lines and magnetic flux density

    No it does not make sense that there is a field line at every point, which is why I ask the question... However, I know space is continuous, formulas use integrals, etc. But the "conceptual" idea of field line at every point seems contradictory with the idea of saying that there are denser...
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    Magnetic field lines and magnetic flux density

    On another forum someone says that "there is a field line passing through every point in space " ... what would that mean? It doesn't seem to make sense to me... we would need to have less field lines in some regions otherwise it would be all the same
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    Magnetic field lines and magnetic flux density

    Thanks, I understand that, this is not really my question though. My question is rather, can we consider there is physically "more lines" passing through a region? Can we say "informally" : if more field lines pass through an area of x square meters then the field is stronger?
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    Magnetic field lines and magnetic flux density

    I'm trying to understand the relationship between the "number" of field lines passing through a region and the magnetic force in this region.I understand that the drawings are of course conceptual: we cannot draw "all" the field lines (although can be visualized with iron fillings).Also the...
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    MHB Proof that covariance matrix is positive semidefinite

    Hello, i am having a hard time understanding the proof that a covariance matrix is "positive semidefinite" ... i found a numbe of different proofs on the web, but they are all far too complicated / and/ or not enogh detailed for me. Such as in the last anser of the link : probability -...
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