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4 hours ago · Assume in this problem that all vectors have their initial point at the origin.(a) Prove that the set of all vectors in \mathbb{R} ^ 2 whose endpoints lie on a common line passing through the origin is a subspace of R ^ 2 (under the usual operations)(b) Prove that the set of all vectors in \mathbb{R} ^ 2 whose endpoints lie on a common line not passing through the origin does not form a ...
1 day ago · When used as a countable noun, the term "a logic" refers to a logical formal system that articulates a proof system. Logic plays a central role in many fields, such as philosophy, mathematics, computer science, and linguistics . Logic studies arguments, which consist of a set of premises together with a conclusion.
1 day ago · Epistemology ( / ɪˌpɪstəˈmɒlədʒi / ⓘ ih-PISS-tə-MOL-ə-jee; from Ancient Greek ἐπιστήμη (epistḗmē) 'knowledge', and -logy) is the branch of philosophy concerned with knowledge. Epistemologists study the nature, origin, and scope of knowledge, epistemic justification, the rationality of belief, and various related issues.
4 hours ago · The results can be very impressive. For example, a 540B-parameter language model that is prompted with only 8 examples of chain of thought can achieve the best accuracy on the Grade School Math 8 K Footnote 13 (GSM8K) benchmark of math word problems, beating even GPT-3 that is fine-tuned with a verifier .
1 day ago · read a few more papers about taxi demand and Origin-Destination matrix prediction using Graph Neural Networks; added more audio clips to the Scottish (Glaswegian) dataset; Obisdian makes this nice graphs of papers referencing each other.
1 day ago · Abbasid Caliphate. The Abbasid Caliphate or Abbasid Empire ( / əˈbæsɪd, ˈæbəsɪd /; Arabic: الْخِلَافَة الْعَبَّاسِيَّة, romanized : al-Khilāfa al-ʿAbbāsiyya) was the third caliphate to succeed the Islamic prophet Muhammad. It was founded by a dynasty descended from Muhammad's uncle, Abbas ibn Abd al-Muttalib ...
4 hours ago · The scientific and religious quests for understanding are not antagonistic but complementary. Each seeks to unravel the complexities of existence. Science and religion are both providing information on what is true. Science and religion are partially overlapping magisteria, and they overlap within us.
