Which boundary conditions lead to existence and uniqueness of a second order PDE Updated 2025-04-24 +Created 1970-01-01
www.cns.gatech.edu/~predrag/courses/PHYS-6124-12/StGoChap6.pdf 6.1 "Classification of PDE's" clarifies which boundary conditions are needed for existence and uniqueness of each type of second order of PDE:
Ciro Santilli started taking some notes at: github.com/cirosantilli/awesome-whole-cell-simulation. but they are going to be all migrated here.
It is interesting to note how one talks about single cell analysis, in contrast to whole cell simulation: experimentally it is hard to analyse a single cell. But theoretically, it is hard to simulate a single cell. This mismatch is perhaps the ultimate frontier of molecular biology.
WikiAlpha is an alternative to Wikipedia, where the main difference is that our deletion policy is far more lenient with regard to notability requirements. Basically, WikiAlpha is a near-indiscriminate collection of information in the form of articles on any topic: you can create an article about the band you just started, your pet dog, yourself, your house - as long as your content does not fall under our speedy deletion policy, it will likely remain on the site forever!
Other examples include:
- css/flex-fill-vertical.html: minimal setup for a editor: docs.ourbigbook.com/editor
That example calculates and displays the final widths via JavaScript, making it easier to understand the calculations being done.
This section is about companies that primarily specialize in machine learning.
The term "machine learning company" is perhaps not great as it could be argued that any of the Big tech are leaders and sometimes, especially in the case of Google, has a main product that is arguably a form of machine learning.
We map each point and a small enough neighbourhood of it to , so we can talk about the manifold points in terms of coordinates.
Does not require any further structure besides a consistent topological map. Notably, does not require metric nor an addition operation to make a vector space.
A notable example of a Non-Euclidean geometry manifold is the space of generalized coordinates of a Lagrangian. For example, in a problem such as the double pendulum, some of those generalized coordinates could be angles, which wrap around and thus are not euclidean.
When debugging complex software, make sure to keep notes of every interesting find you make in a note file, as you extract it from the integrated development environment or debugger.
Especially if your memory sucks like Ciro's.
This is incredibly helpful in fully understanding and then solving complex bugs.
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