# OCME ยท Knowledge & practice explorer 302 MKO / 1,441 families / 360 batches / 36,000 questions. 36,000 second-context math/bilingual reviewed; 0 display/symbol-checked candidates. Source questions: candidate. English: ai_candidate. No new proof, Lean, SREG or training. 200 results; page 2/8. ## Question 851: One Strictly Better Feasible Point Refutes Candidate Global Optimality - ID: `q-20261015-pulse-20261119-r07-0026`; number: 851 - Processing: second_context_reviewed - MKO: [mko-optimization-problem](/en/mko/mko-optimization-problem/) - Family: [qf-mod50-optdeep-improvement-witness](/en/explore/?family=qf-mod50-optdeep-improvement-witness) - Batch: [batch-20261015-advance-20261119-r07-optimization-problem-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r07-optimization-problem-foundations) - [Derivation](/en/questions/q-20261015-pulse-20261119-r07-0026/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r07-0026/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r07-0026.json) ## Question 852: One Strictly Better Feasible Point Refutes Candidate Global Optimality - ID: `q-20261015-pulse-20261119-r07-0027`; number: 852 - Processing: second_context_reviewed - MKO: [mko-optimization-problem](/en/mko/mko-optimization-problem/) - Family: [qf-mod50-optdeep-improvement-witness](/en/explore/?family=qf-mod50-optdeep-improvement-witness) - Batch: [batch-20261015-advance-20261119-r07-optimization-problem-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r07-optimization-problem-foundations) - [Derivation](/en/questions/q-20261015-pulse-20261119-r07-0027/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r07-0027/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r07-0027.json) ## Question 853: One Strictly Better Feasible Point Refutes Candidate Global Optimality - ID: `q-20261015-pulse-20261119-r07-0028`; number: 853 - Processing: second_context_reviewed - MKO: [mko-optimization-problem](/en/mko/mko-optimization-problem/) - Family: [qf-mod50-optdeep-improvement-witness](/en/explore/?family=qf-mod50-optdeep-improvement-witness) - Batch: [batch-20261015-advance-20261119-r07-optimization-problem-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r07-optimization-problem-foundations) - [Derivation](/en/questions/q-20261015-pulse-20261119-r07-0028/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r07-0028/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r07-0028.json) ## Question 854: One Strictly Better Feasible Point Refutes Candidate Global Optimality - ID: `q-20261015-pulse-20261119-r07-0029`; number: 854 - Processing: second_context_reviewed - MKO: [mko-optimization-problem](/en/mko/mko-optimization-problem/) - Family: [qf-mod50-optdeep-improvement-witness](/en/explore/?family=qf-mod50-optdeep-improvement-witness) - Batch: [batch-20261015-advance-20261119-r07-optimization-problem-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r07-optimization-problem-foundations) - [Derivation](/en/questions/q-20261015-pulse-20261119-r07-0029/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r07-0029/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r07-0029.json) ## Question 855: One Strictly Better Feasible Point Refutes Candidate Global Optimality - ID: `q-20261015-pulse-20261119-r07-0030`; number: 855 - Processing: second_context_reviewed - MKO: [mko-optimization-problem](/en/mko/mko-optimization-problem/) - Family: [qf-mod50-optdeep-improvement-witness](/en/explore/?family=qf-mod50-optdeep-improvement-witness) - Batch: [batch-20261015-advance-20261119-r07-optimization-problem-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r07-optimization-problem-foundations) - [Derivation](/en/questions/q-20261015-pulse-20261119-r07-0030/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r07-0030/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r07-0030.json) ## Question 856: One Strictly Better Feasible Point Refutes Candidate Global Optimality - ID: `q-20261015-pulse-20261119-r07-0031`; number: 856 - Processing: second_context_reviewed - MKO: [mko-optimization-problem](/en/mko/mko-optimization-problem/) - Family: [qf-mod50-optdeep-improvement-witness](/en/explore/?family=qf-mod50-optdeep-improvement-witness) - Batch: [batch-20261015-advance-20261119-r07-optimization-problem-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r07-optimization-problem-foundations) - [Derivation](/en/questions/q-20261015-pulse-20261119-r07-0031/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r07-0031/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r07-0031.json) ## Question 857: One Strictly Better Feasible Point Refutes Candidate Global Optimality - ID: `q-20261015-pulse-20261119-r07-0032`; number: 857 - Processing: second_context_reviewed - MKO: [mko-optimization-problem](/en/mko/mko-optimization-problem/) - Family: [qf-mod50-optdeep-improvement-witness](/en/explore/?family=qf-mod50-optdeep-improvement-witness) - Batch: [batch-20261015-advance-20261119-r07-optimization-problem-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r07-optimization-problem-foundations) - [Derivation](/en/questions/q-20261015-pulse-20261119-r07-0032/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r07-0032/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r07-0032.json) ## Question 858: One Strictly Better Feasible Point Refutes Candidate Global Optimality - ID: `q-20261015-pulse-20261119-r07-0033`; number: 858 - Processing: second_context_reviewed - MKO: [mko-optimization-problem](/en/mko/mko-optimization-problem/) - Family: [qf-mod50-optdeep-improvement-witness](/en/explore/?family=qf-mod50-optdeep-improvement-witness) - Batch: [batch-20261015-advance-20261119-r07-optimization-problem-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r07-optimization-problem-foundations) - [Derivation](/en/questions/q-20261015-pulse-20261119-r07-0033/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r07-0033/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r07-0033.json) ## Question 859: One Strictly Better Feasible Point Refutes Candidate Global Optimality - ID: `q-20261015-pulse-20261119-r07-0034`; number: 859 - Processing: second_context_reviewed - MKO: [mko-optimization-problem](/en/mko/mko-optimization-problem/) - Family: [qf-mod50-optdeep-improvement-witness](/en/explore/?family=qf-mod50-optdeep-improvement-witness) - Batch: [batch-20261015-advance-20261119-r07-optimization-problem-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r07-optimization-problem-foundations) - [Derivation](/en/questions/q-20261015-pulse-20261119-r07-0034/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r07-0034/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r07-0034.json) ## Question 860: One Strictly Better Feasible Point Refutes Candidate Global Optimality - ID: `q-20261015-pulse-20261119-r07-0035`; number: 860 - Processing: second_context_reviewed - MKO: [mko-optimization-problem](/en/mko/mko-optimization-problem/) - Family: [qf-mod50-optdeep-improvement-witness](/en/explore/?family=qf-mod50-optdeep-improvement-witness) - Batch: [batch-20261015-advance-20261119-r07-optimization-problem-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r07-optimization-problem-foundations) - [Derivation](/en/questions/q-20261015-pulse-20261119-r07-0035/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r07-0035/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r07-0035.json) ## Question 861: One Strictly Better Feasible Point Refutes Candidate Global Optimality - ID: `q-20261015-pulse-20261119-r07-0036`; number: 861 - Processing: second_context_reviewed - MKO: [mko-optimization-problem](/en/mko/mko-optimization-problem/) - Family: [qf-mod50-optdeep-improvement-witness](/en/explore/?family=qf-mod50-optdeep-improvement-witness) - Batch: [batch-20261015-advance-20261119-r07-optimization-problem-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r07-optimization-problem-foundations) - [Derivation](/en/questions/q-20261015-pulse-20261119-r07-0036/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r07-0036/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r07-0036.json) ## Question 862: One Strictly Better Feasible Point Refutes Candidate Global Optimality - ID: `q-20261015-pulse-20261119-r07-0037`; number: 862 - Processing: second_context_reviewed - MKO: [mko-optimization-problem](/en/mko/mko-optimization-problem/) - Family: [qf-mod50-optdeep-improvement-witness](/en/explore/?family=qf-mod50-optdeep-improvement-witness) - Batch: [batch-20261015-advance-20261119-r07-optimization-problem-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r07-optimization-problem-foundations) - [Derivation](/en/questions/q-20261015-pulse-20261119-r07-0037/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r07-0037/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r07-0037.json) ## Question 863: One Strictly Better Feasible Point Refutes Candidate Global Optimality - ID: `q-20261015-pulse-20261119-r07-0038`; number: 863 - Processing: second_context_reviewed - MKO: [mko-optimization-problem](/en/mko/mko-optimization-problem/) - Family: [qf-mod50-optdeep-improvement-witness](/en/explore/?family=qf-mod50-optdeep-improvement-witness) - Batch: [batch-20261015-advance-20261119-r07-optimization-problem-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r07-optimization-problem-foundations) - [Derivation](/en/questions/q-20261015-pulse-20261119-r07-0038/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r07-0038/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r07-0038.json) ## Question 864: One Strictly Better Feasible Point Refutes Candidate Global Optimality - ID: `q-20261015-pulse-20261119-r07-0039`; number: 864 - Processing: second_context_reviewed - MKO: [mko-optimization-problem](/en/mko/mko-optimization-problem/) - Family: [qf-mod50-optdeep-improvement-witness](/en/explore/?family=qf-mod50-optdeep-improvement-witness) - Batch: [batch-20261015-advance-20261119-r07-optimization-problem-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r07-optimization-problem-foundations) - [Derivation](/en/questions/q-20261015-pulse-20261119-r07-0039/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r07-0039/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r07-0039.json) ## Question 865: One Strictly Better Feasible Point Refutes Candidate Global Optimality - ID: `q-20261015-pulse-20261119-r07-0040`; number: 865 - Processing: second_context_reviewed - MKO: [mko-optimization-problem](/en/mko/mko-optimization-problem/) - Family: [qf-mod50-optdeep-improvement-witness](/en/explore/?family=qf-mod50-optdeep-improvement-witness) - Batch: [batch-20261015-advance-20261119-r07-optimization-problem-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r07-optimization-problem-foundations) - [Derivation](/en/questions/q-20261015-pulse-20261119-r07-0040/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r07-0040/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r07-0040.json) ## Question 866: One Strictly Better Feasible Point Refutes Candidate Global Optimality - ID: `q-20261015-pulse-20261119-r07-0041`; number: 866 - Processing: second_context_reviewed - MKO: [mko-optimization-problem](/en/mko/mko-optimization-problem/) - Family: [qf-mod50-optdeep-improvement-witness](/en/explore/?family=qf-mod50-optdeep-improvement-witness) - Batch: [batch-20261015-advance-20261119-r07-optimization-problem-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r07-optimization-problem-foundations) - [Derivation](/en/questions/q-20261015-pulse-20261119-r07-0041/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r07-0041/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r07-0041.json) ## Question 867: One Strictly Better Feasible Point Refutes Candidate Global Optimality - ID: `q-20261015-pulse-20261119-r07-0042`; number: 867 - Processing: second_context_reviewed - MKO: [mko-optimization-problem](/en/mko/mko-optimization-problem/) - Family: [qf-mod50-optdeep-improvement-witness](/en/explore/?family=qf-mod50-optdeep-improvement-witness) - Batch: [batch-20261015-advance-20261119-r07-optimization-problem-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r07-optimization-problem-foundations) - [Derivation](/en/questions/q-20261015-pulse-20261119-r07-0042/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r07-0042/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r07-0042.json) ## Question 868: One Strictly Better Feasible Point Refutes Candidate Global Optimality - ID: `q-20261015-pulse-20261119-r07-0043`; number: 868 - Processing: second_context_reviewed - MKO: [mko-optimization-problem](/en/mko/mko-optimization-problem/) - Family: [qf-mod50-optdeep-improvement-witness](/en/explore/?family=qf-mod50-optdeep-improvement-witness) - Batch: [batch-20261015-advance-20261119-r07-optimization-problem-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r07-optimization-problem-foundations) - [Derivation](/en/questions/q-20261015-pulse-20261119-r07-0043/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r07-0043/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r07-0043.json) ## Question 869: One Strictly Better Feasible Point Refutes Candidate Global Optimality - ID: `q-20261015-pulse-20261119-r07-0044`; number: 869 - Processing: second_context_reviewed - MKO: [mko-optimization-problem](/en/mko/mko-optimization-problem/) - Family: [qf-mod50-optdeep-improvement-witness](/en/explore/?family=qf-mod50-optdeep-improvement-witness) - Batch: [batch-20261015-advance-20261119-r07-optimization-problem-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r07-optimization-problem-foundations) - [Derivation](/en/questions/q-20261015-pulse-20261119-r07-0044/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r07-0044/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r07-0044.json) ## Question 870: One Strictly Better Feasible Point Refutes Candidate Global Optimality - ID: `q-20261015-pulse-20261119-r07-0045`; number: 870 - Processing: second_context_reviewed - MKO: [mko-optimization-problem](/en/mko/mko-optimization-problem/) - Family: [qf-mod50-optdeep-improvement-witness](/en/explore/?family=qf-mod50-optdeep-improvement-witness) - Batch: [batch-20261015-advance-20261119-r07-optimization-problem-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r07-optimization-problem-foundations) - [Derivation](/en/questions/q-20261015-pulse-20261119-r07-0045/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r07-0045/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r07-0045.json) ## Question 871: One Strictly Better Feasible Point Refutes Candidate Global Optimality - ID: `q-20261015-pulse-20261119-r07-0046`; number: 871 - Processing: second_context_reviewed - MKO: [mko-optimization-problem](/en/mko/mko-optimization-problem/) - Family: [qf-mod50-optdeep-improvement-witness](/en/explore/?family=qf-mod50-optdeep-improvement-witness) - Batch: [batch-20261015-advance-20261119-r07-optimization-problem-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r07-optimization-problem-foundations) - [Derivation](/en/questions/q-20261015-pulse-20261119-r07-0046/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r07-0046/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r07-0046.json) ## Question 872: One Strictly Better Feasible Point Refutes Candidate Global Optimality - ID: `q-20261015-pulse-20261119-r07-0047`; number: 872 - Processing: second_context_reviewed - MKO: [mko-optimization-problem](/en/mko/mko-optimization-problem/) - Family: [qf-mod50-optdeep-improvement-witness](/en/explore/?family=qf-mod50-optdeep-improvement-witness) - Batch: [batch-20261015-advance-20261119-r07-optimization-problem-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r07-optimization-problem-foundations) - [Derivation](/en/questions/q-20261015-pulse-20261119-r07-0047/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r07-0047/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r07-0047.json) ## Question 873: One Strictly Better Feasible Point Refutes Candidate Global Optimality - ID: `q-20261015-pulse-20261119-r07-0048`; number: 873 - Processing: second_context_reviewed - MKO: [mko-optimization-problem](/en/mko/mko-optimization-problem/) - Family: [qf-mod50-optdeep-improvement-witness](/en/explore/?family=qf-mod50-optdeep-improvement-witness) - Batch: [batch-20261015-advance-20261119-r07-optimization-problem-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r07-optimization-problem-foundations) - [Derivation](/en/questions/q-20261015-pulse-20261119-r07-0048/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r07-0048/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r07-0048.json) ## Question 874: One Strictly Better Feasible Point Refutes Candidate Global Optimality - ID: `q-20261015-pulse-20261119-r07-0049`; number: 874 - Processing: second_context_reviewed - MKO: [mko-optimization-problem](/en/mko/mko-optimization-problem/) - Family: [qf-mod50-optdeep-improvement-witness](/en/explore/?family=qf-mod50-optdeep-improvement-witness) - Batch: [batch-20261015-advance-20261119-r07-optimization-problem-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r07-optimization-problem-foundations) - [Derivation](/en/questions/q-20261015-pulse-20261119-r07-0049/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r07-0049/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r07-0049.json) ## Question 875: One Strictly Better Feasible Point Refutes Candidate Global Optimality - ID: `q-20261015-pulse-20261119-r07-0050`; number: 875 - Processing: second_context_reviewed - MKO: [mko-optimization-problem](/en/mko/mko-optimization-problem/) - Family: [qf-mod50-optdeep-improvement-witness](/en/explore/?family=qf-mod50-optdeep-improvement-witness) - Batch: [batch-20261015-advance-20261119-r07-optimization-problem-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r07-optimization-problem-foundations) - [Derivation](/en/questions/q-20261015-pulse-20261119-r07-0050/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r07-0050/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r07-0050.json) [Next](/en/explore/index.md?mko=mko-optimization-problem&page=3)