If we were to graph the above, we would get a continuous graph without any discontinuities. When you see functions written out like that, be sure to check whether the function really has a discontinuity or not. Sometimes the function is continuous but just written like it isn’t just to b...
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Note that the compactness hypothesis is necessary: for instance, the function defined by for and for is a function which has a closed graph, but is discontinuous. A similar result (but relying on a much deeper theorem) is available in algebraic geometry, as I learned after asking this Math...
- the two part linear 'solution' creates a discontinuous gap in the envelope timing around 60% rotation (where the element splice occurs), causing jumps or gaps in addressable in timing. I used a resistance decade box to model the correct taper and value for the 911, 911A, and 961. the...
Data jitter is created by discontinuous impedance reflections, crosstalk, and noise from nearby signals. The jitter tolerance (Jitter Tolerance) of the SerDes receiver—the amount of jitter that the SerDes receiver can accept for specified patterns and bit error rate requirements (BER10-12)—is ...
Change line graph styles to best suit yourchart. Analyzemultiple types of data withcorrespondingy-axes. Show multipley-axes and getaclear understanding of anyxychart. Easily add discontinuous source rangesusing the new range selector. Templates, custom formats, and new UI languages ...
in worlds without discontinuous progress in AI. I think it was an excellent and much-needed addition to our understanding of AI risk. Still, if many believe that this is a main source of AI risk, I think it should be fleshed out in more than just one blog post. The original story has...
There are also times when one realises that a project is simply too much to handle at the present time, and it then makes sense to modify one’s goals for the project, or shelve it and work on another project instead: see “be flexible” and “use the wastebasket“. ...
he enhances PINN by using a finite volume numerical approach with a CNN structure. He devised and implemented a CNN-inspired technique in which, rather than using a Cartesian grid, he computes convolution on a mesh or graph. Furthermore, rather than zero padding, the padding data serve as th...
Does the fact that we’re forced into a certain value for the step function at its point of discontinuity make any difference for the heat flow problem? For that matter, what does it really mean to solve a PDE with a discontinuous initial condition? Can we be sure the limit of solutions...