# OCME · 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.

25 results; page 1/1.

## Question 11151: Linear Halfspace Closure at Qualified Endpoints

- ID: `q-20261013-advance-20261024-r07-convex-set-0051`; number: 11151
- Processing: second_context_reviewed
- MKO: [mko-convex-set](/en/mko/mko-convex-set/)
- Family: [qf-mod24-convexset-halfspace-combination](/en/explore/?family=qf-mod24-convexset-halfspace-combination)
- Batch: [batch-20261013-advance-20261024-r07-convex-set-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r07-convex-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r07-convex-set-0051/) / [Markdown](/en/questions/q-20261013-advance-20261024-r07-convex-set-0051/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r07-convex-set-0051.json)

## Question 11152: Linear Halfspace Closure at Qualified Endpoints

- ID: `q-20261013-advance-20261024-r07-convex-set-0052`; number: 11152
- Processing: second_context_reviewed
- MKO: [mko-convex-set](/en/mko/mko-convex-set/)
- Family: [qf-mod24-convexset-halfspace-combination](/en/explore/?family=qf-mod24-convexset-halfspace-combination)
- Batch: [batch-20261013-advance-20261024-r07-convex-set-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r07-convex-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r07-convex-set-0052/) / [Markdown](/en/questions/q-20261013-advance-20261024-r07-convex-set-0052/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r07-convex-set-0052.json)

## Question 11153: Linear Halfspace Closure at Qualified Endpoints

- ID: `q-20261013-advance-20261024-r07-convex-set-0053`; number: 11153
- Processing: second_context_reviewed
- MKO: [mko-convex-set](/en/mko/mko-convex-set/)
- Family: [qf-mod24-convexset-halfspace-combination](/en/explore/?family=qf-mod24-convexset-halfspace-combination)
- Batch: [batch-20261013-advance-20261024-r07-convex-set-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r07-convex-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r07-convex-set-0053/) / [Markdown](/en/questions/q-20261013-advance-20261024-r07-convex-set-0053/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r07-convex-set-0053.json)

## Question 11154: Linear Halfspace Closure at Qualified Endpoints

- ID: `q-20261013-advance-20261024-r07-convex-set-0054`; number: 11154
- Processing: second_context_reviewed
- MKO: [mko-convex-set](/en/mko/mko-convex-set/)
- Family: [qf-mod24-convexset-halfspace-combination](/en/explore/?family=qf-mod24-convexset-halfspace-combination)
- Batch: [batch-20261013-advance-20261024-r07-convex-set-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r07-convex-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r07-convex-set-0054/) / [Markdown](/en/questions/q-20261013-advance-20261024-r07-convex-set-0054/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r07-convex-set-0054.json)

## Question 11155: Linear Halfspace Closure at Qualified Endpoints

- ID: `q-20261013-advance-20261024-r07-convex-set-0055`; number: 11155
- Processing: second_context_reviewed
- MKO: [mko-convex-set](/en/mko/mko-convex-set/)
- Family: [qf-mod24-convexset-halfspace-combination](/en/explore/?family=qf-mod24-convexset-halfspace-combination)
- Batch: [batch-20261013-advance-20261024-r07-convex-set-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r07-convex-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r07-convex-set-0055/) / [Markdown](/en/questions/q-20261013-advance-20261024-r07-convex-set-0055/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r07-convex-set-0055.json)

## Question 11156: Linear Halfspace Closure at Qualified Endpoints

- ID: `q-20261013-advance-20261024-r07-convex-set-0056`; number: 11156
- Processing: second_context_reviewed
- MKO: [mko-convex-set](/en/mko/mko-convex-set/)
- Family: [qf-mod24-convexset-halfspace-combination](/en/explore/?family=qf-mod24-convexset-halfspace-combination)
- Batch: [batch-20261013-advance-20261024-r07-convex-set-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r07-convex-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r07-convex-set-0056/) / [Markdown](/en/questions/q-20261013-advance-20261024-r07-convex-set-0056/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r07-convex-set-0056.json)

## Question 11157: Linear Halfspace Closure at Qualified Endpoints

- ID: `q-20261013-advance-20261024-r07-convex-set-0057`; number: 11157
- Processing: second_context_reviewed
- MKO: [mko-convex-set](/en/mko/mko-convex-set/)
- Family: [qf-mod24-convexset-halfspace-combination](/en/explore/?family=qf-mod24-convexset-halfspace-combination)
- Batch: [batch-20261013-advance-20261024-r07-convex-set-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r07-convex-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r07-convex-set-0057/) / [Markdown](/en/questions/q-20261013-advance-20261024-r07-convex-set-0057/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r07-convex-set-0057.json)

## Question 11158: Linear Halfspace Closure at Qualified Endpoints

- ID: `q-20261013-advance-20261024-r07-convex-set-0058`; number: 11158
- Processing: second_context_reviewed
- MKO: [mko-convex-set](/en/mko/mko-convex-set/)
- Family: [qf-mod24-convexset-halfspace-combination](/en/explore/?family=qf-mod24-convexset-halfspace-combination)
- Batch: [batch-20261013-advance-20261024-r07-convex-set-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r07-convex-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r07-convex-set-0058/) / [Markdown](/en/questions/q-20261013-advance-20261024-r07-convex-set-0058/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r07-convex-set-0058.json)

## Question 11159: Linear Halfspace Closure at Qualified Endpoints

- ID: `q-20261013-advance-20261024-r07-convex-set-0059`; number: 11159
- Processing: second_context_reviewed
- MKO: [mko-convex-set](/en/mko/mko-convex-set/)
- Family: [qf-mod24-convexset-halfspace-combination](/en/explore/?family=qf-mod24-convexset-halfspace-combination)
- Batch: [batch-20261013-advance-20261024-r07-convex-set-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r07-convex-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r07-convex-set-0059/) / [Markdown](/en/questions/q-20261013-advance-20261024-r07-convex-set-0059/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r07-convex-set-0059.json)

## Question 11160: Linear Halfspace Closure at Qualified Endpoints

- ID: `q-20261013-advance-20261024-r07-convex-set-0060`; number: 11160
- Processing: second_context_reviewed
- MKO: [mko-convex-set](/en/mko/mko-convex-set/)
- Family: [qf-mod24-convexset-halfspace-combination](/en/explore/?family=qf-mod24-convexset-halfspace-combination)
- Batch: [batch-20261013-advance-20261024-r07-convex-set-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r07-convex-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r07-convex-set-0060/) / [Markdown](/en/questions/q-20261013-advance-20261024-r07-convex-set-0060/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r07-convex-set-0060.json)

## Question 11161: Linear Halfspace Closure at Qualified Endpoints

- ID: `q-20261013-advance-20261024-r07-convex-set-0061`; number: 11161
- Processing: second_context_reviewed
- MKO: [mko-convex-set](/en/mko/mko-convex-set/)
- Family: [qf-mod24-convexset-halfspace-combination](/en/explore/?family=qf-mod24-convexset-halfspace-combination)
- Batch: [batch-20261013-advance-20261024-r07-convex-set-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r07-convex-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r07-convex-set-0061/) / [Markdown](/en/questions/q-20261013-advance-20261024-r07-convex-set-0061/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r07-convex-set-0061.json)

## Question 11162: Linear Halfspace Closure at Qualified Endpoints

- ID: `q-20261013-advance-20261024-r07-convex-set-0062`; number: 11162
- Processing: second_context_reviewed
- MKO: [mko-convex-set](/en/mko/mko-convex-set/)
- Family: [qf-mod24-convexset-halfspace-combination](/en/explore/?family=qf-mod24-convexset-halfspace-combination)
- Batch: [batch-20261013-advance-20261024-r07-convex-set-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r07-convex-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r07-convex-set-0062/) / [Markdown](/en/questions/q-20261013-advance-20261024-r07-convex-set-0062/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r07-convex-set-0062.json)

## Question 11163: Linear Halfspace Closure at Qualified Endpoints

- ID: `q-20261013-advance-20261024-r07-convex-set-0063`; number: 11163
- Processing: second_context_reviewed
- MKO: [mko-convex-set](/en/mko/mko-convex-set/)
- Family: [qf-mod24-convexset-halfspace-combination](/en/explore/?family=qf-mod24-convexset-halfspace-combination)
- Batch: [batch-20261013-advance-20261024-r07-convex-set-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r07-convex-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r07-convex-set-0063/) / [Markdown](/en/questions/q-20261013-advance-20261024-r07-convex-set-0063/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r07-convex-set-0063.json)

## Question 11164: Linear Halfspace Closure at Qualified Endpoints

- ID: `q-20261013-advance-20261024-r07-convex-set-0064`; number: 11164
- Processing: second_context_reviewed
- MKO: [mko-convex-set](/en/mko/mko-convex-set/)
- Family: [qf-mod24-convexset-halfspace-combination](/en/explore/?family=qf-mod24-convexset-halfspace-combination)
- Batch: [batch-20261013-advance-20261024-r07-convex-set-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r07-convex-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r07-convex-set-0064/) / [Markdown](/en/questions/q-20261013-advance-20261024-r07-convex-set-0064/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r07-convex-set-0064.json)

## Question 11165: Linear Halfspace Closure at Qualified Endpoints

- ID: `q-20261013-advance-20261024-r07-convex-set-0065`; number: 11165
- Processing: second_context_reviewed
- MKO: [mko-convex-set](/en/mko/mko-convex-set/)
- Family: [qf-mod24-convexset-halfspace-combination](/en/explore/?family=qf-mod24-convexset-halfspace-combination)
- Batch: [batch-20261013-advance-20261024-r07-convex-set-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r07-convex-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r07-convex-set-0065/) / [Markdown](/en/questions/q-20261013-advance-20261024-r07-convex-set-0065/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r07-convex-set-0065.json)

## Question 11166: Linear Halfspace Closure at Qualified Endpoints

- ID: `q-20261013-advance-20261024-r07-convex-set-0066`; number: 11166
- Processing: second_context_reviewed
- MKO: [mko-convex-set](/en/mko/mko-convex-set/)
- Family: [qf-mod24-convexset-halfspace-combination](/en/explore/?family=qf-mod24-convexset-halfspace-combination)
- Batch: [batch-20261013-advance-20261024-r07-convex-set-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r07-convex-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r07-convex-set-0066/) / [Markdown](/en/questions/q-20261013-advance-20261024-r07-convex-set-0066/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r07-convex-set-0066.json)

## Question 11167: Linear Halfspace Closure at Qualified Endpoints

- ID: `q-20261013-advance-20261024-r07-convex-set-0067`; number: 11167
- Processing: second_context_reviewed
- MKO: [mko-convex-set](/en/mko/mko-convex-set/)
- Family: [qf-mod24-convexset-halfspace-combination](/en/explore/?family=qf-mod24-convexset-halfspace-combination)
- Batch: [batch-20261013-advance-20261024-r07-convex-set-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r07-convex-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r07-convex-set-0067/) / [Markdown](/en/questions/q-20261013-advance-20261024-r07-convex-set-0067/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r07-convex-set-0067.json)

## Question 11168: Linear Halfspace Closure at Qualified Endpoints

- ID: `q-20261013-advance-20261024-r07-convex-set-0068`; number: 11168
- Processing: second_context_reviewed
- MKO: [mko-convex-set](/en/mko/mko-convex-set/)
- Family: [qf-mod24-convexset-halfspace-combination](/en/explore/?family=qf-mod24-convexset-halfspace-combination)
- Batch: [batch-20261013-advance-20261024-r07-convex-set-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r07-convex-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r07-convex-set-0068/) / [Markdown](/en/questions/q-20261013-advance-20261024-r07-convex-set-0068/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r07-convex-set-0068.json)

## Question 11169: Linear Halfspace Closure at Qualified Endpoints

- ID: `q-20261013-advance-20261024-r07-convex-set-0069`; number: 11169
- Processing: second_context_reviewed
- MKO: [mko-convex-set](/en/mko/mko-convex-set/)
- Family: [qf-mod24-convexset-halfspace-combination](/en/explore/?family=qf-mod24-convexset-halfspace-combination)
- Batch: [batch-20261013-advance-20261024-r07-convex-set-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r07-convex-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r07-convex-set-0069/) / [Markdown](/en/questions/q-20261013-advance-20261024-r07-convex-set-0069/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r07-convex-set-0069.json)

## Question 11170: Linear Halfspace Closure at Qualified Endpoints

- ID: `q-20261013-advance-20261024-r07-convex-set-0070`; number: 11170
- Processing: second_context_reviewed
- MKO: [mko-convex-set](/en/mko/mko-convex-set/)
- Family: [qf-mod24-convexset-halfspace-combination](/en/explore/?family=qf-mod24-convexset-halfspace-combination)
- Batch: [batch-20261013-advance-20261024-r07-convex-set-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r07-convex-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r07-convex-set-0070/) / [Markdown](/en/questions/q-20261013-advance-20261024-r07-convex-set-0070/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r07-convex-set-0070.json)

## Question 11171: Linear Halfspace Closure at Qualified Endpoints

- ID: `q-20261013-advance-20261024-r07-convex-set-0071`; number: 11171
- Processing: second_context_reviewed
- MKO: [mko-convex-set](/en/mko/mko-convex-set/)
- Family: [qf-mod24-convexset-halfspace-combination](/en/explore/?family=qf-mod24-convexset-halfspace-combination)
- Batch: [batch-20261013-advance-20261024-r07-convex-set-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r07-convex-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r07-convex-set-0071/) / [Markdown](/en/questions/q-20261013-advance-20261024-r07-convex-set-0071/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r07-convex-set-0071.json)

## Question 11172: Linear Halfspace Closure at Qualified Endpoints

- ID: `q-20261013-advance-20261024-r07-convex-set-0072`; number: 11172
- Processing: second_context_reviewed
- MKO: [mko-convex-set](/en/mko/mko-convex-set/)
- Family: [qf-mod24-convexset-halfspace-combination](/en/explore/?family=qf-mod24-convexset-halfspace-combination)
- Batch: [batch-20261013-advance-20261024-r07-convex-set-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r07-convex-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r07-convex-set-0072/) / [Markdown](/en/questions/q-20261013-advance-20261024-r07-convex-set-0072/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r07-convex-set-0072.json)

## Question 11173: Linear Halfspace Closure at Qualified Endpoints

- ID: `q-20261013-advance-20261024-r07-convex-set-0073`; number: 11173
- Processing: second_context_reviewed
- MKO: [mko-convex-set](/en/mko/mko-convex-set/)
- Family: [qf-mod24-convexset-halfspace-combination](/en/explore/?family=qf-mod24-convexset-halfspace-combination)
- Batch: [batch-20261013-advance-20261024-r07-convex-set-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r07-convex-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r07-convex-set-0073/) / [Markdown](/en/questions/q-20261013-advance-20261024-r07-convex-set-0073/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r07-convex-set-0073.json)

## Question 11174: Linear Halfspace Closure at Qualified Endpoints

- ID: `q-20261013-advance-20261024-r07-convex-set-0074`; number: 11174
- Processing: second_context_reviewed
- MKO: [mko-convex-set](/en/mko/mko-convex-set/)
- Family: [qf-mod24-convexset-halfspace-combination](/en/explore/?family=qf-mod24-convexset-halfspace-combination)
- Batch: [batch-20261013-advance-20261024-r07-convex-set-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r07-convex-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r07-convex-set-0074/) / [Markdown](/en/questions/q-20261013-advance-20261024-r07-convex-set-0074/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r07-convex-set-0074.json)

## Question 11175: Linear Halfspace Closure at Qualified Endpoints

- ID: `q-20261013-advance-20261024-r07-convex-set-0075`; number: 11175
- Processing: second_context_reviewed
- MKO: [mko-convex-set](/en/mko/mko-convex-set/)
- Family: [qf-mod24-convexset-halfspace-combination](/en/explore/?family=qf-mod24-convexset-halfspace-combination)
- Batch: [batch-20261013-advance-20261024-r07-convex-set-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r07-convex-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r07-convex-set-0075/) / [Markdown](/en/questions/q-20261013-advance-20261024-r07-convex-set-0075/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r07-convex-set-0075.json)

