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- ...e reader should learn, by looking at these, some of the common features of proofs. * Proofs may have premises, which need no justification. ...15 KB (2,495 words) - 00:20, 19 March 2024
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- ...f [[../PhysicalMathematics2/|mathematical physics]], a number of different proofs of this [[../Formula/|theorem]] will be given. ...620 bytes (89 words) - 06:18, 11 October 2023
- ...atics/Undergraduate/Pure Mathematics|School of Mathematics:Introduction to Proofs}} [[Category:Mathematical proofs]] ...2 KB (275 words) - 03:50, 16 October 2014
- [[Category:Mathematical proofs]] ...749 bytes (113 words) - 04:20, 17 July 2015
- Reasoning skills form the basis for the proving of mathematical statements and relations themed in higher school grades in different contex ...cal homework).<ref>M. Platz, M. Krieger, K. Winter, E. Niehaus: Electronic Proofs and Electronic Assessments in an Educational Context transferred to South A ...5 KB (730 words) - 03:39, 13 February 2018
- ...in the introduction, we offered the Pythagorean Theorem as an example of a mathematical theorem that can be proven. ...hat's going to show you just how true that is. Here are some hand-selected proofs (with additional commentary to facilitate learning) on proving the Pythagor ...979 bytes (160 words) - 13:50, 1 September 2023
- '''Algebra''' is an ancient form of mathematical analytical methodology and is one of the most fundamental in our modern pra ...g a powerful tool for solving complex equations and understanding abstract mathematical structures. ...4 KB (641 words) - 05:13, 26 October 2024
- === Natural Proofs === The most core design principle for this course, which I am calling "natural proofs", is ...13 KB (1,797 words) - 05:51, 9 March 2024
- ...cted space|Connected space]] [[w:en:Domain (mathematical analysis)|Domain (mathematical analysis)]] <math>G \subsetneq \Complex</math> can be mapped biholomorphica === Dependencies of Proofs === ...7 KB (955 words) - 13:12, 8 January 2025
- ==Meta-mathematical construct of: <math>\left\langle{`general \; definition' \; of \; a \; defi ...sical term can be shown to be in the nature of a ''<math>\left\langle{meta-mathematical, \; or \; meta-logical \; construct\ \; (proposition) \right\rangle</math ...6 KB (859 words) - 02:52, 30 October 2020
- ...dent to fundamental mathematical concepts such as sets, number systems and proofs. ...thematical logic|philosophy]], [[w:mathematical physics|physics]], and [[w:mathematical economics|economics]]. ...10 KB (1,713 words) - 17:53, 17 December 2022
- ...e reader should learn, by looking at these, some of the common features of proofs. * Proofs may have premises, which need no justification. ...15 KB (2,495 words) - 00:20, 19 March 2024
- ...calculations. Proofs of convergence would put these calculations on firmer mathematical ground. ...own expressions for conformal blocks from the physics literature, plus the mathematical tools that are needed to prove convergence. (Hopefully, elementary tools.) ...6 KB (816 words) - 08:18, 28 September 2020
- The Pythagorean Theorem is an important mathematical theorem that explains the final side of a right-angled triangle when two si ==Proofs== ...7 KB (1,170 words) - 18:11, 11 March 2025
- ...veral [[../Formula/|theorems]] about about Haken manifolds through logical/mathematical induction: first, one proves a theorem for 3-balls, then one proves that if ...rted his proof of the geometrization theorem in 1980, and several complete proofs have been published since. Furthermore, in 2003, Grigori (Grisha) Perelman ...8 KB (1,190 words) - 08:58, 23 October 2023
- ...chlet <math>L</math>--functions in addition to the zeta function itself.}. Proofs of and~<ref name='patterson'/>, and for proofs of Dirichlet's theorem on primes ...6 KB (925 words) - 22:26, 14 October 2023
- Rama Cont and Tankov<ref name="Cont:Tankov:2012" />. Purely mathematical texts on the same subject are === Proofs === ...13 KB (2,075 words) - 04:43, 24 April 2021
- *The mathematical way to write "The limit of f(x) as x approaches c created by using numbers *The mathematical way to write "The limit of f(x) as x approaches c created by using numbers ...10 KB (1,767 words) - 20:42, 28 February 2025
- The '''natural numbers''' (or ''counting numbers'') are the fundamental mathematical set on which all other arithmetic is based. They do not include negative n ...e they appreciate the significance of careful mathematical definitions and proofs. Indeed, students often prove theorems about algebra and calculus, involvi ...13 KB (2,245 words) - 01:57, 3 April 2022
- ...o understand and to-the-point guide for complete beginners to mathematical proofs. ...However, before actually looking at proofs, it's necessary to develop some mathematical language. The next section on propositions will serve as the foundation for ...42 KB (7,308 words) - 23:54, 31 August 2021
- ...modular arithmetic]] as well. Later on it will require an understanding of mathematical induction, functions, bijections, and partitions. Lessons may utilize matri ...theorems that follow directly from the definition of a group. Attempt the proofs yourself before looking at the solutions. ...10 KB (1,788 words) - 07:02, 26 March 2022