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The Neyman-Pearson lemma states that this likelihood ratio test is the most powerful among all level-alpha tests for this problem
from the top result below
https://en-academic.com/dic.nsf/enwiki/28835
The Neyman-Pearson lemma states that this likelihood ratio test is the most powerful among all level-alpha tests for this problem
https://en.wikipedia.org/wiki/Up_to
Objects that are distinct up to an equivalence relation defined by a group action, such as rotation, reflection, or permutation, can be counted using Burnside's lemma or its generalization, Pólya enumeration theorem
https://en.wikipedia.org/wiki/Wedderburn%E2%80%93Artin_theorem
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Here we used right modules because R ≅ E n d ( R R ) {\displaystyle R\cong \mathrm {End} (R_{R})} ; if we used left modules R {\displaystyle R} would be isomorphic to the opposite algebra of E n d ( R R ) {\displaystyle \mathrm {End} ({}_{R}R)} , but the proof would still go through
https://arxiv.org/html/2607.22511v2
1 Introduction
Language models can now generate research artifacts—conjectures, proofs, experiments, and complete papers—more rapidly than they can be evaluated
https://writtenhorror.com/game-review-a-twisted-place/
A Twisted Place is a dark linear horror interactive fiction with themes of self-worth and suicide, with photographic environmental art taken at the abandoned Bradmill factory site
https://en.wikipedia.org/wiki/Bali_myna
[1]
In 2018, there were three locations on Bali where the birds existed in the wild: the West Bali National Park; Bali's small island of Nusa Penida and Begawan Foundation's breeding and release site at Melinggih Kelod, Payangan
https://news.ycombinator.com/item?id=49686380
A site summarizer built in 2 minutes by DeepSeek https://briff
https://arxiv.org/html/2205.01882v5
2 Details of the DVD Dataset
M Additional Empirical Application: Fishing-site Choice
M
https://www.skills.google/focuses/1843?locale=he&parent=catalog
If you wanted to send a file from Cloud Storage, you would replace content with gcsContentUri and give it a value of the text file's uri in Cloud Storage
https://www.gsk-3inhibitor.com/2017/11/10/Dynein_assembly_factor_3/
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https://www.gsk-3inhibitor.com/2017/11/10/Butyrophilin_subfamily_2_member_A1/
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https://arxiv.org/html/2407.00419v1
Our main contribution is an upper-bound showing that, for partners drawn from a socially intelligent (consistent and compatible) population, we can learn to cooperate with far fewer samples than would be required by a pure imitation learning approach
https://wordtype.org/of/computing
Unfortunately, with the current database that runs this site, I don't have data about which senses of ~term~ are used most commonly
https://blog.sigfpe.com/2005/05/dual-photography-part-ii.html?showComment=1122942660000
Reverse Engineering Machines with the Yoneda Lemma
I've decided that the Yoneda lemma is the hardest trivial thing in mathematics, though I find it's made easier if I think about it i
https://en.wiktionary.org/wiki/auki
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https://en.wikibooks.org/wiki/Abstract_Algebra/Ideals
Lemma: An ideal I {\displaystyle I} is proper if and only if 1 ∉ I {\displaystyle 1\notin I}
https://gowers.wordpress.com/2026/08/12/what-sort-of-maths-are-llms-good-at/
If they were, then their big speed advantage over us would mean that there would be much more of a flood of results
https://www.judegomila.com/posts/riemann-lambda-0.1787854
A zero off the line at real part β ≠ ½ would make its wave grow like x^β instead, out of step with all the others, and the prime count would drift off course
https://terrytao.wordpress.com/2026/08/12/a-digestion-of-the-proof-of-sendovs-conjecture/
If one ignores the errors, one can show that these conditions are only simultaneously feasible if and all the vanish, but the argument was somewhat subtle (I had to proceed by inspecting the second Fourier coefficient of (1))
https://publishing.cdlib.org/ucpressebooks/view?docId=ft0z09n7m0
In this fashion the older generation of writers was passing the torch of "story craft" to younger disciples who would emerge, in the 1960s and 1970s, as the bright lights of a reconstituted Hollywood
https://pure.knaw.nl/portal/en/publications/herpublicatie-1-lemma-6/
2013
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https://universaldependencies.org/treebanks/sga_dipsgg/sga_dipsgg-pos-ADJ.html
ambiguous types:
Morphology
The form / lemma ratio of ADJ is 1
https://en.wiktionary.org/wiki/colapsaste
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https://en.wiktionary.org/wiki/banians
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https://saladtheory.github.io/
Well-Mixed
A salad must be a mixture of foods such that a typical person would not notice a difference if the relative position and orientation of its ingredients were randomized
https://github.com/optsuite/optlib
lean: the proof of the conic Caratheodory lemma
Farkas
https://math-ai-org.github.io/mathcode/
Obsidian Theorem Graph
Generates an Obsidian vault that visualizes theorem-to-lemma dependencies as a knowledge graph
http://lindat.mff.cuni.cz/services/teitok/parczech-ps7-2.0/cs/index.php?action=text&cid=ps2013-017/ps2013-017-09-008-180.tt.xml&pageid=ps2013-017-09-008-180.pb2&pbtype=pb
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https://www-archiv.fdm.uni-hamburg.de/b-online/delta/grass/www/dasyochl.htm
Awns 1; median; from a sinus; non-geniculate; hairless; much shorter than the body of the lemma to about as long as the body of the lemma; entered by one vein
https://blog.sigfpe.com/2012/02/lawvere-theories-made-bit-easier.html?showComment=1328648551388
Even if we don't get code we can immediately use, we still get a good way to think about and analyse effects
Sites: en.wikipedia.org (3) · arxiv.org (3) · en.wiktionary.org (3) · www.gsk-3inhibitor.com (2)