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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.org@anamnesiac:matrix.orgRedacted or Malformed Event21:01:50
@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.org@anamnesiac:matrix.orgRedacted or Malformed Event22:13:04
@anamnesiac:matrix.org@anamnesiac:matrix.orgRedacted or Malformed Event22:13:07
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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