"\u0406\u043C\u043F\u043B\u0456\u043A\u0430\u043D\u0442\u0430"@uk . "Implikant funkcji boolowskiej f \u2013 taki iloczyn , \u017Ce dla wszystkich x=(x1, ... , xn), dla kt\u00F3rych jest on r\u00F3wny jedno\u015Bci, funkcja f jest r\u00F3wna jedno\u015Bci."@pl . . "Implica\u00E7\u00E3o entre fun\u00E7\u00F5es"@pt . . . "\u8574\u6DB5\u9879"@zh . "3133"^^ . "Implikant funkcji boolowskiej f \u2013 taki iloczyn , \u017Ce dla wszystkich x=(x1, ... , xn), dla kt\u00F3rych jest on r\u00F3wny jedno\u015Bci, funkcja f jest r\u00F3wna jedno\u015Bci."@pl . . "y"@en . . . . . . . . "\u5728\u5E03\u5C14\u903B\u8F91\u7684\u7A4D\u9805\u548C\u5F0F\u4E2D(\u548C\u9805\u7A4D\u5F0F\u4EA6\u53EF)\uFF0C\u4E58\u79EF\u9879P \u662F\u5E03\u5C14\u51FD\u6570 F \u7684\u6DB5\u9879\uFF08\u82F1\u8A9E\uFF1Aimplicant\uFF09\uFF0C\u5982\u679C P \u8574\u6DB5 F\u3002\u66F4\u52A0\u51C6\u786E\u7684\u8BF4\uFF1A \n* F \u662F n \u4E2A\u53D8\u91CF\u7684\u5E03\u5C14\u51FD\u6570\u3002 \n* P \u662F\u4E58\u79EF\u9879\u3002 \n* \u82E5\u5BF9\u4E8E\u4F7F P \u5F97\u5230\u503C 1 \u7684\u6240\u6709\u7EC4\u5408\uFF0CF \u4E5F\u7B49\u4E8E 1\uFF0C\u5247 P \u8574\u6DB5 F (P \u662F F \u7684\u6DB5\u9805)\u3002 \u8FD9\u610F\u5473\u7740\u5728\u5E03\u5C14\u7A7A\u95F4\u7684\u81EA\u7136\u6B21\u5E8F\u4E0A P\u21D2F\u3002\u6BD4\u5982\uFF0C\u51FD\u6570 \u8574\u6DB5\u81EA \uFF0C\uFF0C\uFF0C \u548C\u5F88\u591A\u5176\u4ED6\u7684\u9879: \u5B83\u4EEC\u662F \u7684\u6DB5\u9879\u3002 \u5A01\u62C9\u5FB7\u00B7\u51AF\u00B7\u5965\u66FC\u00B7\u84AF\u56E0\u5B9A\u4E49\uFF1A 1. \n* F \u7684\u8CEA\u6DB5\u9879\uFF08prime implicant\uFF09\u4E3A\u6700\u5C11\u5316\u6587\u5B57\u6578\u91CF\u7684\u6DB5\u9879\u2014\u2014\u5C31\u662F\u8BF4\uFF0C\u5982\u679C\u4ECE P \u53BB\u9664\u4EFB\u4F55\u201C\u6587\u5B57\u201D\uFF08literal\uFF09\u90FD\u5BFC\u81F4 P \u6210\u70BA F \u7684\u975E\u6DB5\u9879\u3002\u4F8B\u5982100\u548C101\u662F\u67D0\u903B\u8F91\u51FD\u6570\u7684\u4E24\u4E2A\u6DB5\u9879\uFF0C\u90A3\u4E4810x\u5C31\u662F\u51FD\u6570\u7684\u4E00\u4E2A\u8CEA\u6DB5\u9879\uFF0C\u5176\u4E2D\u76841\u548C0\u4E24\u4E2A\u6570\u5B57\u4E0D\u53EF\u518D\u53BB\u6389\uFF1B 2. \n* \u57FA\u672C\u8CEA\u6DB5\u9879\uFF08essential prime implicant\uFF09\u4E3A\u860A\u6DB5\u65BC\u4E0D\u6EE1\u8DB3\u4EFB\u4F55\u5176\u4ED6\u8CEA\u6DB5\u9879\u7684\u6975\u5C0F\u9805(minterm)\u7684\u90A3\u4E9B\u8CEA\u6DB5\u9879\u2014\u2014\u82E5\u5B58\u5728\u53EA\u88AB\u4E00\u500B\u8CEA\u6DB5\u9805\u8986\u84CB\u7684\u6975\u5C0F\u9805\uFF0C\u5247\u8986\u84CB\u8A72\u6975\u5C0F\u9805\u7684\u8CEA\u6DB5\u9805\u70BA\u57FA\u672C\u8CEA\u6DB5\u9805\u3002\u5982\u679C\u4EE5\u5361\u8BFA\u56FE\u7684\u5F62\u5F0F\u6765\u63CF\u8FF0\u903B\u8F91\u51FD\u6570\uFF0C\u53EF\u4EE5\u53D1\u73B0\u53EA\u6709\u4E00\u79CD\u65B9\u5F0F\u53EF\u4EE5\u5708\u9009\u8FD9\u4E2A\u8F93\u5165\u7EC4\u5408\u3002 \u4F7F\u7528\u4E0A\u9762\u7684\u4F8B\u5B50\uFF0C\u4F60\u53EF\u4EE5\u8F7B\u6613\u7684\u770B\u5230\u5C3D\u7BA1 \uFF08\u548C\u5176\u4ED6\u7684\u9879\uFF09\u662F\u8CEA\u6DB5\u9879\uFF0C \u548C \u4E0D\u662F\u3002\u4ECE\u540E\u8005\uFF0C\u53EF\u4EE5\u53BB\u9664\u591A\u4E2A\u6587\u5B57\u6765\u4F7F\u5B83\u6210\u4E3A\u7D20\u7684\uFF1A \u5E03\u5C14\u51FD\u6570\u7684\u6240\u6709\u7D20\u8574\u6DB5\u9879\u7684\u603B\u548C\u53EB\u505A\u8FD9\u4E2A\u51FD\u6570\u7684\u5B8C\u5168\u548C\u3002"@zh . "1156776"^^ . . "May 2019"@en . "1091529190"^^ . . "Als Primterm oder Primimplikant einer Booleschen Funktion bezeichnet man einen Implikanten minimaler L\u00E4nge, der also nicht weiter vereinfacht werden kann. Der Begriff wird bei der Minimierung von Schaltnetzen, z. B. mit KV-Diagrammen, verwendet. Er bezieht sich dann in der Regel auf Konjunktionsterme in einer Disjunktion von Konjunktionstermen bzw. Minterme in einer DNF. Unter der L\u00E4nge eines booleschen Terms wird in diesem Zusammenhang die Anzahl der enthaltenen Konjunktionen und Disjunktionen verstanden, wobei innerhalb eines Konjunktionsterms dabei freilich nur Konjunktionen interessant sind."@de . "Quando fun\u00E7\u00F5es possuem as mesmas vari\u00E1veis, conclui-se que a primeira fun\u00E7\u00E3o, que chamaremos de F1, implica a segunda, F2, quando para todas as entradas em que F1 seja 1, F2 tamb\u00E9m seja. Existem tr\u00EAs tipos de implica\u00E7\u00E3o entre as fun\u00E7\u00F5es. A seguir, definiremos cada uma delas:"@pt . . . . "Il concetto di implicante \u00E8 un concetto di base per la definizione formale delle forme canoniche legate all'algebra di Boole ed in particolare allo studio nelle reti logiche delle porte logiche."@it . . "In Boolean logic, the term implicant has either a generic or a particular meaning. In the generic use, it refers to the hypothesis of an implication (implicant). In the particular use, a product term (i.e., a conjunction of literals) P is an implicant of a Boolean function F, denoted , if P implies F (i.e., whenever P takes the value 1 so does F).For instance, implicants of the function include the terms , , , , as well as some others."@en . "\u5728\u5E03\u5C14\u903B\u8F91\u7684\u7A4D\u9805\u548C\u5F0F\u4E2D(\u548C\u9805\u7A4D\u5F0F\u4EA6\u53EF)\uFF0C\u4E58\u79EF\u9879P \u662F\u5E03\u5C14\u51FD\u6570 F \u7684\u6DB5\u9879\uFF08\u82F1\u8A9E\uFF1Aimplicant\uFF09\uFF0C\u5982\u679C P \u8574\u6DB5 F\u3002\u66F4\u52A0\u51C6\u786E\u7684\u8BF4\uFF1A \n* F \u662F n \u4E2A\u53D8\u91CF\u7684\u5E03\u5C14\u51FD\u6570\u3002 \n* P \u662F\u4E58\u79EF\u9879\u3002 \n* \u82E5\u5BF9\u4E8E\u4F7F P \u5F97\u5230\u503C 1 \u7684\u6240\u6709\u7EC4\u5408\uFF0CF \u4E5F\u7B49\u4E8E 1\uFF0C\u5247 P \u8574\u6DB5 F (P \u662F F \u7684\u6DB5\u9805)\u3002 \u8FD9\u610F\u5473\u7740\u5728\u5E03\u5C14\u7A7A\u95F4\u7684\u81EA\u7136\u6B21\u5E8F\u4E0A P\u21D2F\u3002\u6BD4\u5982\uFF0C\u51FD\u6570 \u8574\u6DB5\u81EA \uFF0C\uFF0C\uFF0C \u548C\u5F88\u591A\u5176\u4ED6\u7684\u9879: \u5B83\u4EEC\u662F \u7684\u6DB5\u9879\u3002 \u5A01\u62C9\u5FB7\u00B7\u51AF\u00B7\u5965\u66FC\u00B7\u84AF\u56E0\u5B9A\u4E49\uFF1A 1. \n* F \u7684\u8CEA\u6DB5\u9879\uFF08prime implicant\uFF09\u4E3A\u6700\u5C11\u5316\u6587\u5B57\u6578\u91CF\u7684\u6DB5\u9879\u2014\u2014\u5C31\u662F\u8BF4\uFF0C\u5982\u679C\u4ECE P \u53BB\u9664\u4EFB\u4F55\u201C\u6587\u5B57\u201D\uFF08literal\uFF09\u90FD\u5BFC\u81F4 P \u6210\u70BA F \u7684\u975E\u6DB5\u9879\u3002\u4F8B\u5982100\u548C101\u662F\u67D0\u903B\u8F91\u51FD\u6570\u7684\u4E24\u4E2A\u6DB5\u9879\uFF0C\u90A3\u4E4810x\u5C31\u662F\u51FD\u6570\u7684\u4E00\u4E2A\u8CEA\u6DB5\u9879\uFF0C\u5176\u4E2D\u76841\u548C0\u4E24\u4E2A\u6570\u5B57\u4E0D\u53EF\u518D\u53BB\u6389\uFF1B 2. \n* \u57FA\u672C\u8CEA\u6DB5\u9879\uFF08essential prime implicant\uFF09\u4E3A\u860A\u6DB5\u65BC\u4E0D\u6EE1\u8DB3\u4EFB\u4F55\u5176\u4ED6\u8CEA\u6DB5\u9879\u7684\u6975\u5C0F\u9805(minterm)\u7684\u90A3\u4E9B\u8CEA\u6DB5\u9879\u2014\u2014\u82E5\u5B58\u5728\u53EA\u88AB\u4E00\u500B\u8CEA\u6DB5\u9805\u8986\u84CB\u7684\u6975\u5C0F\u9805\uFF0C\u5247\u8986\u84CB\u8A72\u6975\u5C0F\u9805\u7684\u8CEA\u6DB5\u9805\u70BA\u57FA\u672C\u8CEA\u6DB5\u9805\u3002\u5982\u679C\u4EE5\u5361\u8BFA\u56FE\u7684\u5F62\u5F0F\u6765\u63CF\u8FF0\u903B\u8F91\u51FD\u6570\uFF0C\u53EF\u4EE5\u53D1\u73B0\u53EA\u6709\u4E00\u79CD\u65B9\u5F0F\u53EF\u4EE5\u5708\u9009\u8FD9\u4E2A\u8F93\u5165\u7EC4\u5408\u3002 \u4F7F\u7528\u4E0A\u9762\u7684\u4F8B\u5B50\uFF0C\u4F60\u53EF\u4EE5\u8F7B\u6613\u7684\u770B\u5230\u5C3D\u7BA1 \uFF08\u548C\u5176\u4ED6\u7684\u9879\uFF09\u662F\u8CEA\u6DB5\u9879\uFF0C \u548C \u4E0D\u662F\u3002\u4ECE\u540E\u8005\uFF0C\u53EF\u4EE5\u53BB\u9664\u591A\u4E2A\u6587\u5B57\u6765\u4F7F\u5B83\u6210\u4E3A\u7D20\u7684\uFF1A \n* \u3001 \u548C \u53EF\u4EE5\u53BB\u9664\uFF0C\u751F\u6210 \u3002 \n* \u53EF\u4F5C\u4E3A\u9009\u62E9\u7684\uFF0C \u548C \u53EF\u4EE5\u53BB\u9664\uFF0C\u751F\u6210 \u3002 \n* \u6700\u540E\uFF0C \u548C \u53EF\u4EE5\u88AB\u53BB\u9664\uFF0C\u751F\u6210 \u3002 \u5C06\u5E03\u5C14\u9879\u4E2D\u6587\u5B57\u53BB\u9664\u7684\u8FC7\u7A0B\u53EB\u505A'\u5BF9\u8FD9\u4E2A\u9879\u7684\u6269\u5C55'\u3002\u6269\u5C55\u4E00\u4E2A\u6587\u5B57\u5C07\u500D\u589E\u4F7F\u8FD9\u4E2A\u9879\u4E3A\u201C\u771F\u201D\u7684\u8F93\u5165\u7EC4\u5408\u7684\u6570\u76EE(\u5728\u4E8C\u5143\u5E03\u5C14\u4EE3\u6570\u4E2D)\u3002 \u5982\u4E0A\u4F8B\u4E2D\uFF0C\u5C06xyz\u6269\u5C55\u4E3Axy\u6216yz\u4E0D\u5F71\u54CDf\u7684\u7ED3\u679C\u3002 \u5E03\u5C14\u51FD\u6570\u7684\u6240\u6709\u7D20\u8574\u6DB5\u9879\u7684\u603B\u548C\u53EB\u505A\u8FD9\u4E2A\u51FD\u6570\u7684\u5B8C\u5168\u548C\u3002"@zh . . . "Il concetto di implicante \u00E8 un concetto di base per la definizione formale delle forme canoniche legate all'algebra di Boole ed in particolare allo studio nelle reti logiche delle porte logiche."@it . "\u0412 \u0431\u0443\u043B\u0435\u0432\u0456\u0439 \u0430\u043B\u0433\u0435\u0431\u0440\u0456, \u0456\u043C\u043F\u043B\u0456\u043A\u0430\u043D\u0442\u0430 - \u043F\u043E\u043A\u0440\u0438\u0442\u0442\u044F \u043E\u0434\u043D\u043E\u0433\u043E, \u0430\u0431\u043E \u0434\u0435\u043A\u0456\u043B\u044C\u043A\u043E\u0445 \u043C\u0456\u043D\u0442\u0435\u0440\u043C\u0456\u0432 \u0432 \u0441\u0443\u043C\u0456 \u0434\u043E\u0431\u0443\u0442\u043A\u0456\u0432 (\u0430\u0431\u043E \u043C\u0430\u043A\u0441\u0442\u0435\u0440\u043C\u0456\u0432 \u0432 \u0434\u043E\u0431\u0443\u0442\u043A\u0443 \u0441\u0443\u043C\u0438) \u0431\u0443\u043B\u0435\u0432\u043E\u0457 \u0444\u0443\u043D\u043A\u0446\u0456\u0457. \u0424\u043E\u0440\u043C\u0430\u043B\u044C\u043D\u043E, \u043A\u043E\u043D'\u044E\u043A\u0442\u0438\u0432\u043D\u0438\u0439 \u043E\u0434\u043D\u043E\u0447\u043B\u0435\u043D P \u0432 \u0441\u0443\u043C\u0456 \u0434\u043E\u0431\u0443\u0442\u043A\u0456\u0432 \u0454 \u0456\u043C\u043F\u043B\u0456\u043A\u0430\u043D\u0442\u043E\u044E \u0432 \u0431\u0443\u043B\u0435\u0432\u0456\u0439 \u0444\u0443\u043D\u043A\u0446\u0456\u0457 F. \u0411\u0456\u043B\u044C\u0448 \u0442\u043E\u0447\u043D\u043E: \u044F\u043A\u0449\u043E P, \u0442\u043E F (\u0442\u0430\u043A\u0438\u043C \u0447\u0438\u043D\u043E\u043C P \u0454 \u0456\u043C\u043F\u043B\u0456\u043A\u0430\u043D\u0442\u043E\u044E \u0437 F), F \u0442\u0430\u043A\u043E\u0436 \u043F\u0440\u0438\u0439\u043C\u0430\u0454 \u0437\u043D\u0430\u0447\u0435\u043D\u043D\u044F 1, \u044F\u043A\u0449\u043E P \u0434\u043E\u0440\u0456\u0432\u043D\u044E\u0454 1. \u0414\u0435: \n* F - \u0431\u0443\u043B\u0435\u0432\u0430 \u0444\u0443\u043D\u043A\u0446\u0456\u044F \u0437 N \u0437\u043C\u0456\u043D\u043D\u0438\u0445. \n* P - \u043A\u043E\u043D'\u044E\u043D\u043A\u0442\u0438\u0432\u043D\u0438\u0439 \u043E\u0434\u043D\u043E\u0447\u043B\u0435\u043D. \u0426\u0435 \u043E\u0437\u043D\u0430\u0447\u0430\u0454, \u0449\u043E \u043F\u043E \u0432\u0456\u0434\u043D\u043E\u0448\u0435\u043D\u043D\u044E \u0434\u043E \u043F\u0440\u0438\u0440\u043E\u0434\u043D\u043E\u0433\u043E \u043F\u043E\u0440\u044F\u0434\u043A\u0443 \u0431\u0443\u043B\u0435\u0432\u043E\u0433\u043E \u043F\u0440\u043E\u0441\u0442\u043E\u0440\u0443. \u041D\u0430\u043F\u0440\u0438\u043A\u043B\u0430\u0434, \u0444\u0443\u043D\u043A\u0446\u0456\u044F \u0456\u043C\u043F\u043B\u0456\u043A\u0443\u0454\u0442\u044C\u0441\u044F \u0437 , , , \u0456 \u0431\u0430\u0433\u0430\u0442\u044C\u043E\u0445 \u0456\u043D\u0448\u0438\u0445, \u0446\u0435 \u0456\u043C\u043F\u043B\u0456\u043A\u0430\u043D\u0442\u0438 ."@uk . "\u0412 \u0431\u0443\u043B\u0435\u0432\u0456\u0439 \u0430\u043B\u0433\u0435\u0431\u0440\u0456, \u0456\u043C\u043F\u043B\u0456\u043A\u0430\u043D\u0442\u0430 - \u043F\u043E\u043A\u0440\u0438\u0442\u0442\u044F \u043E\u0434\u043D\u043E\u0433\u043E, \u0430\u0431\u043E \u0434\u0435\u043A\u0456\u043B\u044C\u043A\u043E\u0445 \u043C\u0456\u043D\u0442\u0435\u0440\u043C\u0456\u0432 \u0432 \u0441\u0443\u043C\u0456 \u0434\u043E\u0431\u0443\u0442\u043A\u0456\u0432 (\u0430\u0431\u043E \u043C\u0430\u043A\u0441\u0442\u0435\u0440\u043C\u0456\u0432 \u0432 \u0434\u043E\u0431\u0443\u0442\u043A\u0443 \u0441\u0443\u043C\u0438) \u0431\u0443\u043B\u0435\u0432\u043E\u0457 \u0444\u0443\u043D\u043A\u0446\u0456\u0457. \u0424\u043E\u0440\u043C\u0430\u043B\u044C\u043D\u043E, \u043A\u043E\u043D'\u044E\u043A\u0442\u0438\u0432\u043D\u0438\u0439 \u043E\u0434\u043D\u043E\u0447\u043B\u0435\u043D P \u0432 \u0441\u0443\u043C\u0456 \u0434\u043E\u0431\u0443\u0442\u043A\u0456\u0432 \u0454 \u0456\u043C\u043F\u043B\u0456\u043A\u0430\u043D\u0442\u043E\u044E \u0432 \u0431\u0443\u043B\u0435\u0432\u0456\u0439 \u0444\u0443\u043D\u043A\u0446\u0456\u0457 F. \u0411\u0456\u043B\u044C\u0448 \u0442\u043E\u0447\u043D\u043E: \u044F\u043A\u0449\u043E P, \u0442\u043E F (\u0442\u0430\u043A\u0438\u043C \u0447\u0438\u043D\u043E\u043C P \u0454 \u0456\u043C\u043F\u043B\u0456\u043A\u0430\u043D\u0442\u043E\u044E \u0437 F), F \u0442\u0430\u043A\u043E\u0436 \u043F\u0440\u0438\u0439\u043C\u0430\u0454 \u0437\u043D\u0430\u0447\u0435\u043D\u043D\u044F 1, \u044F\u043A\u0449\u043E P \u0434\u043E\u0440\u0456\u0432\u043D\u044E\u0454 1. \u0414\u0435: \n* F - \u0431\u0443\u043B\u0435\u0432\u0430 \u0444\u0443\u043D\u043A\u0446\u0456\u044F \u0437 N \u0437\u043C\u0456\u043D\u043D\u0438\u0445. \n* P - \u043A\u043E\u043D'\u044E\u043D\u043A\u0442\u0438\u0432\u043D\u0438\u0439 \u043E\u0434\u043D\u043E\u0447\u043B\u0435\u043D. \u0426\u0435 \u043E\u0437\u043D\u0430\u0447\u0430\u0454, \u0449\u043E \u043F\u043E \u0432\u0456\u0434\u043D\u043E\u0448\u0435\u043D\u043D\u044E \u0434\u043E \u043F\u0440\u0438\u0440\u043E\u0434\u043D\u043E\u0433\u043E \u043F\u043E\u0440\u044F\u0434\u043A\u0443 \u0431\u0443\u043B\u0435\u0432\u043E\u0433\u043E \u043F\u0440\u043E\u0441\u0442\u043E\u0440\u0443. \u041D\u0430\u043F\u0440\u0438\u043A\u043B\u0430\u0434, \u0444\u0443\u043D\u043A\u0446\u0456\u044F \u0456\u043C\u043F\u043B\u0456\u043A\u0443\u0454\u0442\u044C\u0441\u044F \u0437 , , , \u0456 \u0431\u0430\u0433\u0430\u0442\u044C\u043E\u0445 \u0456\u043D\u0448\u0438\u0445, \u0446\u0435 \u0456\u043C\u043F\u043B\u0456\u043A\u0430\u043D\u0442\u0438 ."@uk . . "Implikant funkcji boolowskiej"@pl . . "Als Primterm oder Primimplikant einer Booleschen Funktion bezeichnet man einen Implikanten minimaler L\u00E4nge, der also nicht weiter vereinfacht werden kann. Der Begriff wird bei der Minimierung von Schaltnetzen, z. B. mit KV-Diagrammen, verwendet. Er bezieht sich dann in der Regel auf Konjunktionsterme in einer Disjunktion von Konjunktionstermen bzw. Minterme in einer DNF. Unter der L\u00E4nge eines booleschen Terms wird in diesem Zusammenhang die Anzahl der enthaltenen Konjunktionen und Disjunktionen verstanden, wobei innerhalb eines Konjunktionsterms dabei freilich nur Konjunktionen interessant sind."@de . . . . "In Boolean logic, the term implicant has either a generic or a particular meaning. In the generic use, it refers to the hypothesis of an implication (implicant). In the particular use, a product term (i.e., a conjunction of literals) P is an implicant of a Boolean function F, denoted , if P implies F (i.e., whenever P takes the value 1 so does F).For instance, implicants of the function include the terms , , , , as well as some others."@en . . "Implicant"@en . . . . "Quando fun\u00E7\u00F5es possuem as mesmas vari\u00E1veis, conclui-se que a primeira fun\u00E7\u00E3o, que chamaremos de F1, implica a segunda, F2, quando para todas as entradas em que F1 seja 1, F2 tamb\u00E9m seja. Existem tr\u00EAs tipos de implica\u00E7\u00E3o entre as fun\u00E7\u00F5es. A seguir, definiremos cada uma delas:"@pt . . "Primterm"@de . "Implicante"@it .