# 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. 100 results; page 4/4. ## Question 18676: Pairwise Zero Intersections Do Not Prove a Three-Way Direct Sum - ID: `q-20261014-advance-20261105-r01-direct-sum-0051`; number: 18676 - Processing: second_context_reviewed - MKO: [mko-direct-sum](/en/mko/mko-direct-sum/) - Family: [qf-mod36-directsum-multi-subspace-global](/en/explore/?family=qf-mod36-directsum-multi-subspace-global) - Batch: [batch-20261014-advance-20261105-r01-direct-sum-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r01-direct-sum-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0051/) / [Markdown](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0051/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r01-direct-sum-0051.json) ## Question 18677: Pairwise Zero Intersections Do Not Prove a Three-Way Direct Sum - ID: `q-20261014-advance-20261105-r01-direct-sum-0052`; number: 18677 - Processing: second_context_reviewed - MKO: [mko-direct-sum](/en/mko/mko-direct-sum/) - Family: [qf-mod36-directsum-multi-subspace-global](/en/explore/?family=qf-mod36-directsum-multi-subspace-global) - Batch: [batch-20261014-advance-20261105-r01-direct-sum-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r01-direct-sum-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0052/) / [Markdown](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0052/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r01-direct-sum-0052.json) ## Question 18678: Pairwise Zero Intersections Do Not Prove a Three-Way Direct Sum - ID: `q-20261014-advance-20261105-r01-direct-sum-0053`; number: 18678 - Processing: second_context_reviewed - MKO: [mko-direct-sum](/en/mko/mko-direct-sum/) - Family: [qf-mod36-directsum-multi-subspace-global](/en/explore/?family=qf-mod36-directsum-multi-subspace-global) - Batch: [batch-20261014-advance-20261105-r01-direct-sum-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r01-direct-sum-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0053/) / [Markdown](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0053/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r01-direct-sum-0053.json) ## Question 18679: Pairwise Zero Intersections Do Not Prove a Three-Way Direct Sum - ID: `q-20261014-advance-20261105-r01-direct-sum-0054`; number: 18679 - Processing: second_context_reviewed - MKO: [mko-direct-sum](/en/mko/mko-direct-sum/) - Family: [qf-mod36-directsum-multi-subspace-global](/en/explore/?family=qf-mod36-directsum-multi-subspace-global) - Batch: [batch-20261014-advance-20261105-r01-direct-sum-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r01-direct-sum-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0054/) / [Markdown](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0054/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r01-direct-sum-0054.json) ## Question 18680: Pairwise Zero Intersections Do Not Prove a Three-Way Direct Sum - ID: `q-20261014-advance-20261105-r01-direct-sum-0055`; number: 18680 - Processing: second_context_reviewed - MKO: [mko-direct-sum](/en/mko/mko-direct-sum/) - Family: [qf-mod36-directsum-multi-subspace-global](/en/explore/?family=qf-mod36-directsum-multi-subspace-global) - Batch: [batch-20261014-advance-20261105-r01-direct-sum-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r01-direct-sum-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0055/) / [Markdown](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0055/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r01-direct-sum-0055.json) ## Question 18681: Pairwise Zero Intersections Do Not Prove a Three-Way Direct Sum - ID: `q-20261014-advance-20261105-r01-direct-sum-0056`; number: 18681 - Processing: second_context_reviewed - MKO: [mko-direct-sum](/en/mko/mko-direct-sum/) - Family: [qf-mod36-directsum-multi-subspace-global](/en/explore/?family=qf-mod36-directsum-multi-subspace-global) - Batch: [batch-20261014-advance-20261105-r01-direct-sum-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r01-direct-sum-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0056/) / [Markdown](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0056/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r01-direct-sum-0056.json) ## Question 18682: Pairwise Zero Intersections Do Not Prove a Three-Way Direct Sum - ID: `q-20261014-advance-20261105-r01-direct-sum-0057`; number: 18682 - Processing: second_context_reviewed - MKO: [mko-direct-sum](/en/mko/mko-direct-sum/) - Family: [qf-mod36-directsum-multi-subspace-global](/en/explore/?family=qf-mod36-directsum-multi-subspace-global) - Batch: [batch-20261014-advance-20261105-r01-direct-sum-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r01-direct-sum-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0057/) / [Markdown](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0057/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r01-direct-sum-0057.json) ## Question 18683: Pairwise Zero Intersections Do Not Prove a Three-Way Direct Sum - ID: `q-20261014-advance-20261105-r01-direct-sum-0058`; number: 18683 - Processing: second_context_reviewed - MKO: [mko-direct-sum](/en/mko/mko-direct-sum/) - Family: [qf-mod36-directsum-multi-subspace-global](/en/explore/?family=qf-mod36-directsum-multi-subspace-global) - Batch: [batch-20261014-advance-20261105-r01-direct-sum-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r01-direct-sum-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0058/) / [Markdown](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0058/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r01-direct-sum-0058.json) ## Question 18684: Pairwise Zero Intersections Do Not Prove a Three-Way Direct Sum - ID: `q-20261014-advance-20261105-r01-direct-sum-0059`; number: 18684 - Processing: second_context_reviewed - MKO: [mko-direct-sum](/en/mko/mko-direct-sum/) - Family: [qf-mod36-directsum-multi-subspace-global](/en/explore/?family=qf-mod36-directsum-multi-subspace-global) - Batch: [batch-20261014-advance-20261105-r01-direct-sum-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r01-direct-sum-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0059/) / [Markdown](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0059/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r01-direct-sum-0059.json) ## Question 18685: Pairwise Zero Intersections Do Not Prove a Three-Way Direct Sum - ID: `q-20261014-advance-20261105-r01-direct-sum-0060`; number: 18685 - Processing: second_context_reviewed - MKO: [mko-direct-sum](/en/mko/mko-direct-sum/) - Family: [qf-mod36-directsum-multi-subspace-global](/en/explore/?family=qf-mod36-directsum-multi-subspace-global) - Batch: [batch-20261014-advance-20261105-r01-direct-sum-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r01-direct-sum-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0060/) / [Markdown](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0060/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r01-direct-sum-0060.json) ## Question 18686: Pairwise Zero Intersections Do Not Prove a Three-Way Direct Sum - ID: `q-20261014-advance-20261105-r01-direct-sum-0061`; number: 18686 - Processing: second_context_reviewed - MKO: [mko-direct-sum](/en/mko/mko-direct-sum/) - Family: [qf-mod36-directsum-multi-subspace-global](/en/explore/?family=qf-mod36-directsum-multi-subspace-global) - Batch: [batch-20261014-advance-20261105-r01-direct-sum-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r01-direct-sum-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0061/) / [Markdown](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0061/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r01-direct-sum-0061.json) ## Question 18687: Pairwise Zero Intersections Do Not Prove a Three-Way Direct Sum - ID: `q-20261014-advance-20261105-r01-direct-sum-0062`; number: 18687 - Processing: second_context_reviewed - MKO: [mko-direct-sum](/en/mko/mko-direct-sum/) - Family: [qf-mod36-directsum-multi-subspace-global](/en/explore/?family=qf-mod36-directsum-multi-subspace-global) - Batch: [batch-20261014-advance-20261105-r01-direct-sum-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r01-direct-sum-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0062/) / [Markdown](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0062/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r01-direct-sum-0062.json) ## Question 18688: Pairwise Zero Intersections Do Not Prove a Three-Way Direct Sum - ID: `q-20261014-advance-20261105-r01-direct-sum-0063`; number: 18688 - Processing: second_context_reviewed - MKO: [mko-direct-sum](/en/mko/mko-direct-sum/) - Family: [qf-mod36-directsum-multi-subspace-global](/en/explore/?family=qf-mod36-directsum-multi-subspace-global) - Batch: [batch-20261014-advance-20261105-r01-direct-sum-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r01-direct-sum-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0063/) / [Markdown](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0063/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r01-direct-sum-0063.json) ## Question 18689: Pairwise Zero Intersections Do Not Prove a Three-Way Direct Sum - ID: `q-20261014-advance-20261105-r01-direct-sum-0064`; number: 18689 - Processing: second_context_reviewed - MKO: [mko-direct-sum](/en/mko/mko-direct-sum/) - Family: [qf-mod36-directsum-multi-subspace-global](/en/explore/?family=qf-mod36-directsum-multi-subspace-global) - Batch: [batch-20261014-advance-20261105-r01-direct-sum-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r01-direct-sum-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0064/) / [Markdown](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0064/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r01-direct-sum-0064.json) ## Question 18690: Pairwise Zero Intersections Do Not Prove a Three-Way Direct Sum - ID: `q-20261014-advance-20261105-r01-direct-sum-0065`; number: 18690 - Processing: second_context_reviewed - MKO: [mko-direct-sum](/en/mko/mko-direct-sum/) - Family: [qf-mod36-directsum-multi-subspace-global](/en/explore/?family=qf-mod36-directsum-multi-subspace-global) - Batch: [batch-20261014-advance-20261105-r01-direct-sum-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r01-direct-sum-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0065/) / [Markdown](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0065/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r01-direct-sum-0065.json) ## Question 18691: Pairwise Zero Intersections Do Not Prove a Three-Way Direct Sum - ID: `q-20261014-advance-20261105-r01-direct-sum-0066`; number: 18691 - Processing: second_context_reviewed - MKO: [mko-direct-sum](/en/mko/mko-direct-sum/) - Family: [qf-mod36-directsum-multi-subspace-global](/en/explore/?family=qf-mod36-directsum-multi-subspace-global) - Batch: [batch-20261014-advance-20261105-r01-direct-sum-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r01-direct-sum-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0066/) / [Markdown](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0066/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r01-direct-sum-0066.json) ## Question 18692: Pairwise Zero Intersections Do Not Prove a Three-Way Direct Sum - ID: `q-20261014-advance-20261105-r01-direct-sum-0067`; number: 18692 - Processing: second_context_reviewed - MKO: [mko-direct-sum](/en/mko/mko-direct-sum/) - Family: [qf-mod36-directsum-multi-subspace-global](/en/explore/?family=qf-mod36-directsum-multi-subspace-global) - Batch: [batch-20261014-advance-20261105-r01-direct-sum-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r01-direct-sum-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0067/) / [Markdown](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0067/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r01-direct-sum-0067.json) ## Question 18693: Pairwise Zero Intersections Do Not Prove a Three-Way Direct Sum - ID: `q-20261014-advance-20261105-r01-direct-sum-0068`; number: 18693 - Processing: second_context_reviewed - MKO: [mko-direct-sum](/en/mko/mko-direct-sum/) - Family: [qf-mod36-directsum-multi-subspace-global](/en/explore/?family=qf-mod36-directsum-multi-subspace-global) - Batch: [batch-20261014-advance-20261105-r01-direct-sum-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r01-direct-sum-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0068/) / [Markdown](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0068/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r01-direct-sum-0068.json) ## Question 18694: Pairwise Zero Intersections Do Not Prove a Three-Way Direct Sum - ID: `q-20261014-advance-20261105-r01-direct-sum-0069`; number: 18694 - Processing: second_context_reviewed - MKO: [mko-direct-sum](/en/mko/mko-direct-sum/) - Family: [qf-mod36-directsum-multi-subspace-global](/en/explore/?family=qf-mod36-directsum-multi-subspace-global) - Batch: [batch-20261014-advance-20261105-r01-direct-sum-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r01-direct-sum-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0069/) / [Markdown](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0069/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r01-direct-sum-0069.json) ## Question 18695: Pairwise Zero Intersections Do Not Prove a Three-Way Direct Sum - ID: `q-20261014-advance-20261105-r01-direct-sum-0070`; number: 18695 - Processing: second_context_reviewed - MKO: [mko-direct-sum](/en/mko/mko-direct-sum/) - Family: [qf-mod36-directsum-multi-subspace-global](/en/explore/?family=qf-mod36-directsum-multi-subspace-global) - Batch: [batch-20261014-advance-20261105-r01-direct-sum-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r01-direct-sum-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0070/) / [Markdown](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0070/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r01-direct-sum-0070.json) ## Question 18696: Pairwise Zero Intersections Do Not Prove a Three-Way Direct Sum - ID: `q-20261014-advance-20261105-r01-direct-sum-0071`; number: 18696 - Processing: second_context_reviewed - MKO: [mko-direct-sum](/en/mko/mko-direct-sum/) - Family: [qf-mod36-directsum-multi-subspace-global](/en/explore/?family=qf-mod36-directsum-multi-subspace-global) - Batch: [batch-20261014-advance-20261105-r01-direct-sum-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r01-direct-sum-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0071/) / [Markdown](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0071/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r01-direct-sum-0071.json) ## Question 18697: Pairwise Zero Intersections Do Not Prove a Three-Way Direct Sum - ID: `q-20261014-advance-20261105-r01-direct-sum-0072`; number: 18697 - Processing: second_context_reviewed - MKO: [mko-direct-sum](/en/mko/mko-direct-sum/) - Family: [qf-mod36-directsum-multi-subspace-global](/en/explore/?family=qf-mod36-directsum-multi-subspace-global) - Batch: [batch-20261014-advance-20261105-r01-direct-sum-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r01-direct-sum-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0072/) / [Markdown](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0072/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r01-direct-sum-0072.json) ## Question 18698: Pairwise Zero Intersections Do Not Prove a Three-Way Direct Sum - ID: `q-20261014-advance-20261105-r01-direct-sum-0073`; number: 18698 - Processing: second_context_reviewed - MKO: [mko-direct-sum](/en/mko/mko-direct-sum/) - Family: [qf-mod36-directsum-multi-subspace-global](/en/explore/?family=qf-mod36-directsum-multi-subspace-global) - Batch: [batch-20261014-advance-20261105-r01-direct-sum-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r01-direct-sum-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0073/) / [Markdown](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0073/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r01-direct-sum-0073.json) ## Question 18699: Pairwise Zero Intersections Do Not Prove a Three-Way Direct Sum - ID: `q-20261014-advance-20261105-r01-direct-sum-0074`; number: 18699 - Processing: second_context_reviewed - MKO: [mko-direct-sum](/en/mko/mko-direct-sum/) - Family: [qf-mod36-directsum-multi-subspace-global](/en/explore/?family=qf-mod36-directsum-multi-subspace-global) - Batch: [batch-20261014-advance-20261105-r01-direct-sum-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r01-direct-sum-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0074/) / [Markdown](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0074/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r01-direct-sum-0074.json) ## Question 18700: Pairwise Zero Intersections Do Not Prove a Three-Way Direct Sum - ID: `q-20261014-advance-20261105-r01-direct-sum-0075`; number: 18700 - Processing: second_context_reviewed - MKO: [mko-direct-sum](/en/mko/mko-direct-sum/) - Family: [qf-mod36-directsum-multi-subspace-global](/en/explore/?family=qf-mod36-directsum-multi-subspace-global) - Batch: [batch-20261014-advance-20261105-r01-direct-sum-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r01-direct-sum-foundations) - [Derivation](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0075/) / [Markdown](/en/questions/q-20261014-advance-20261105-r01-direct-sum-0075/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r01-direct-sum-0075.json)