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General Mathematics Q&A

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15 Apr 2024
@programarivm:matrix.orgprogramarivm๐Ÿ™พ Can chess be considered as mathematics?18:35:30
@blind-baldie:matrix.orgblind-baldieNot a lot of numbers in chess19:07:34
@programarivm:matrix.orgprogramarivmIt requires spatial and abstract thinking.19:09:00
@blind-baldie:matrix.orgblind-baldieIs driving math?19:16:16
@latot:matrix.orglatotcheese needs a lot of things, the capacity to predict and read the oponent is too important... you can't solve cheese only as get the "best answer" in a simple way19:17:24
@latot:matrix.orglatotyou read the oponent, the oponent reads you19:17:32
@blind-baldie:matrix.orgblind-baldieI'd say it's not Math, but maybe some mathematical concepts could help one Olay better? I'm not a chess player I play Go ๐Ÿ˜Ž19:17:35
@knoppix:4d2.orgknoppix
In reply to @programarivm:matrix.org
๐Ÿ™พ Can chess be considered as mathematics?
It depends
19:25:57
@knoppix:4d2.orgknoppixFor example normally the figures are radial symmetric19:26:27
@knoppix:4d2.orgknoppixExcept Knight, obviouslt19:27:04
@anamnesiac:matrix.organamnesiac
In reply to @programarivm:matrix.org
It requires spatial and abstract thinking.
How does it require abstract thinking? Every position is a concrete, not abstract, one. The best move is that which is most advantageous in some concrete position. Maybe there are some abstract principles that a chess player applies when he is considering his move but all those abstract principles are less important than the concrete reality of the position on the board. For example the abstract principle says queens are better than pawns, but the concrete reality of a specific position could demand a queen sacrifice for a pawn.
21:01:50
@programarivm:matrix.orgprogramarivmThe abstract thinking would help to come up with a strategic plan.21:02:49
@programarivm:matrix.orgprogramarivmIt needs to be abstract because elaborating on a strategic plan is not a verbal thing, for example.21:04:18
@programarivm:matrix.orgprogramarivmIn fact, it is to do with abductive reasoning actually.21:05:32
@programarivm:matrix.orgprogramarivmIn my opinion https://en.wikipedia.org/wiki/Abductive_reasoning21:12:41
@anamnesiac:matrix.organamnesiacOh you meant non linguistic22:13:04
@anamnesiac:matrix.organamnesiacNever mind then22:13:07
16 Apr 2024
@ijn_akashi_ar:matrix.orgIJNAkashiAR joined the room.06:32:02
@programarivm:matrix.orgprogramarivmBe that as it may, the sha256 algorithm has been replaced with the adler32 algorithm on the chesslablab server. This means that the invite codes are now more usable. https://github.com/chesslablab/chess-server/issues/27108:19:35
@programarivm:matrix.orgprogramarivmscreencapture-chesslablab-org-en-2024-04-16-10_16_45.png
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08:19:53
@programarivm:matrix.orgprogramarivm061f793108:20:19
@knoppix:4d2.orgknoppix

suppose we have some open AโŠ‚ R. How can I define a function, that is integrable (Lebesgue) over any bounded subset of A? The space of locally integrable functions L_{1,loc}(A) is not an option, because it means that the function should be integrable over any compact set that is a subset of A.

For example, if A = (0,โˆž) the function y=1/x should not be allowed, but it lays in L_{1,loc}(A).

11:53:15
@knoppix:4d2.orgknoppixSo, the question how can I define the space in some fancy way?11:53:34
@knoppix:4d2.orgknoppix *

suppose we have some open AโŠ‚ R. How can I define a space of functions, that are integrable (Lebesgue) over any bounded subset of A? The space of locally integrable functions L_{1,loc}(A) is not an option, because it means that the function should be integrable over any compact set that is a subset of A.

For example, if A = (0,โˆž) the function y=1/x should not be allowed, but it lays in L_{1,loc}(A).

11:54:18
@knoppix:4d2.orgknoppix *

suppose we have some open AโŠ‚ R. How can I define a space of functions, that are integrable (Lebesgue) over any bounded subset of A? The space of locally integrable functions L_{1,loc}(A) is not an option, because it means that the function should be integrable over any compact set that is a subset of A.

For example, if A = (0,โˆž) the function y=1/x should not be allowed, but it lays in L_{1,loc}(A).

11:54:27
@knoppix:4d2.orgknoppixHmm. How about y*ฯ‡(A)โˆŠL_{1,loc}(R)?12:07:49
@knoppix:4d2.orgknoppixy is then meant as an extension with zero to the whole R12:10:46
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