Mathematics · Functional Analysis
मान लीजिए N एक मानकीकृत रैखिक समष्टि (normed linear space) है और x, y ∈ N हैं। निम्नलिखित में से कौन सी असमिका (inequality) हमेशा सही होती है?
- 1|||x|| - ||y||| ≤ ||x - y||✓
- 2|||x|| - ||y||| ≥ ||x - y||
- 3|||x|| - ||y||| < ||x - y||
- 4|||x|| - ||y||| > ||x - y||
सही उत्तर देखें
|||x|| - ||y||| ≤ ||x - y||
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