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If (R) is an equivalence relation, when will ([a]\cup[b]) be a single equivalence class?यदि (R) तुल्यता संबंध है, तो ([a]\cup[b]) कब एक ही तुल्यता वर्ग होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: When ([a]=[b])जब ([a]=[b])
Step 1: Two equivalence classes are either equal or disjoint. Step 2: If ([a]=[b]), their union is the same single class. Step 3: The union of distinct classes is generally not one equivalence class.चरण 1: दो तुल्यता वर्ग या तो समान होते हैं या अलग-अलग। चरण 2: यदि ([a]=[b]), तो उनका संघ भी वही एक वर्ग होगा। चरण 3: अलग वर्गों का संघ सामान्यतः एक तुल्यता वर्ग नहीं होता।
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