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ÃÐÀÍÈÖÀ ÎÒÍÎÑÈÒÅËÜÍÎÉ ÏÎÃÐÅØÍÎÑÒÈ
ÃÐÀÍÈÖÀ ÎÒÍÎÑÈÒÅËÜÍÎÉ ÏÎÃÐÅØÍÎÑÒÈ — òåðìèí òåîðèè ïðèáëèæåííûõ âû÷èñëåíèé. Ïóñòü — ïðèáëèæåííîå çíà÷åíèå ÷èñëà è — îòíîñèòåëüíàÿ ïîãðåøíîñòü ýòîãî ïðèáëèæåíèÿ. Òîãäà ëþáîå ÷èñëî , óäîâëåòâîðÿþùåå íåðàâåíñòâó , íàçûâàåòñÿ Ã. î. ï.
Òàêèì îáðàçîì, â êà÷åñòâå Ã. î. ï. ìîæåò âûñòóïàòü ëþáîå ÷èñëî, íå ìåíüøåå ìîäóëÿ îòíîñèòåëüíîé ïîãðåøíîñòè. ßñíî, îäíàêî, ÷òî, ÷åì ìåíüøóþ Ã. î. ï. íàì óäàñòñÿ óêàçàòü, òåì ëó÷øå áóäåò ïîëó÷åíà îöåíêà ïðèáëèæåííûõ âû÷èñëåíèé, òåì áîëüøóþ èíôîðìàöèþ ìû áóäåì èìåòü î íåèçâåñòíîì òî÷íîì ÷èñëå. Íàïðèìåð, â êà÷åñòâå Ã. î. ï. ìîæíî âçÿòü îòíîøåíèå , ãäå — ãðàíèöà ïîãðåøíîñòè.
Ïðè óìíîæåíèè è äåëåíèè ïðèáëèæåííûõ çíà÷åíèé ÷èñåë äëÿ îöåíêè ïîãðåøíîñòåé èñïîëüçóåòñÿ òåîðåìà: Ã. î. ï. ïðîèçâåäåíèÿ è ÷àñòíîãî ðàâíà ñóììå Ã. î. ï. èñõîäíûõ äàííûõ.
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