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- css/flex.html: illustrates basic flex usage, including:
flex-grow
: if there's space left, this determines how much extra space will be given to each.flex-basis
: the size the items want to be. But if there isnt' enough space, this can be cut up.Note that the minimal space required by children of the flex children cannot be necessarily cut up, and might lead things to overflow out of the container.flex-shrink
: if there's space missing, this determines how much extra space will be removed from eachflex-basis
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.
The change of basis matrix is the matrix that allows us to express the new basis in an old basis:
Mnemonic is as follows: consider we have an initial basis . Now, we define the new basis in terms of the old basis, e.g.:which can be written in matrix form as:and so if we set:we have:
The usual question then is: given a vector in the new basis, how do we represent it in the old basis?
That is the matrix inverse.
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.
The length of its cycle.
In the classification of finite simple groups, groups of Lie type are a set of infinite families of simple lie groups. These are the other infinite families besides te cyclic groups and alternating groups.
A decent list at: en.wikipedia.org/wiki/List_of_finite_simple_groups, en.wikipedia.org/wiki/Group_of_Lie_type is just too unclear. The groups of Lie type can be subdivided into:
- Chevalley groups
- TODO the rest
The first in this family discovered were a subset of the Chevalley groups by Galois: , so it might be a good first one to try and understand what it looks like.
TODO understand intuitively why they are called of Lie type. Their names , seem to correspond to the members of the classification of simple Lie groups which are also named like that.
But they are of course related to Lie groups, and as suggested at Video "Yang-Mills 1 by David Metzler (2011)" part 2, the continuity actually simplifies things.
Some of the software-based artificial life simulators can be used as AI training game.
Ciro Santilli just always feels that what can be classified as "artificial life" simulators have too much focus on beating more continuous population mechanics, and lack the discrete elements which he feels could be important to AGI: Section "The missing link between continuous and discrete AI".
There is great interest in this direction of research however quite clearly.
There are unlisted articles, also show them or only show them.