Necessary and sufficient conditions in theorems
When students and professional mathematicians are asked what the difference between necessary and sufficient conditions is, they often have difficulty answering the question. Even when presented with concrete formulations of state and asked what the difference between necessary and sufficient condi...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2024-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Subjects: | |
| Online Access: | https://ojs.test/index.php/LMR/article/view/38089 |
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| _version_ | 1841561121221246976 |
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| author | Edmundas Mazėtis Grigorijus Melničenko |
| author_facet | Edmundas Mazėtis Grigorijus Melničenko |
| author_sort | Edmundas Mazėtis |
| collection | DOAJ |
| description |
When students and professional mathematicians are asked what the difference between necessary and sufficient conditions is, they often have difficulty answering the question. Even when presented with concrete formulations of state and asked what the difference between necessary and sufficient conditions means, the answer is not always correct. Meanwhile, these two notions are widespread in modern mathematics. This article attempts to consider necessary and sufficient conditions, hoping to increase the mathematical culture of both readers and their authors.
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| format | Article |
| id | doaj-art-796c4eb740fb407b8b8b26671fb7bf16 |
| institution | Kabale University |
| issn | 0132-2818 2335-898X |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj-art-796c4eb740fb407b8b8b26671fb7bf162025-01-03T06:33:47ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2024-12-0165B10.15388/LMD.2024.38089Necessary and sufficient conditions in theoremsEdmundas Mazėtis0Grigorijus Melničenko1Vilnius UniversityVytautas Magnus University When students and professional mathematicians are asked what the difference between necessary and sufficient conditions is, they often have difficulty answering the question. Even when presented with concrete formulations of state and asked what the difference between necessary and sufficient conditions means, the answer is not always correct. Meanwhile, these two notions are widespread in modern mathematics. This article attempts to consider necessary and sufficient conditions, hoping to increase the mathematical culture of both readers and their authors. https://ojs.test/index.php/LMR/article/view/38089theoremconditions and conclusions of a theoremnecessary and sufficient conditionsequivalence of statementsimplicationlogical conjunction |
| spellingShingle | Edmundas Mazėtis Grigorijus Melničenko Necessary and sufficient conditions in theorems Lietuvos Matematikos Rinkinys theorem conditions and conclusions of a theorem necessary and sufficient conditions equivalence of statements implication logical conjunction |
| title | Necessary and sufficient conditions in theorems |
| title_full | Necessary and sufficient conditions in theorems |
| title_fullStr | Necessary and sufficient conditions in theorems |
| title_full_unstemmed | Necessary and sufficient conditions in theorems |
| title_short | Necessary and sufficient conditions in theorems |
| title_sort | necessary and sufficient conditions in theorems |
| topic | theorem conditions and conclusions of a theorem necessary and sufficient conditions equivalence of statements implication logical conjunction |
| url | https://ojs.test/index.php/LMR/article/view/38089 |
| work_keys_str_mv | AT edmundasmazetis necessaryandsufficientconditionsintheorems AT grigorijusmelnicenko necessaryandsufficientconditionsintheorems |