# 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 10501: A Strict Open Ball in a Complete Finite Metric

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0001`; number: 10501
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ball-inventory](/en/explore/?family=qf-mod23-metricconv-ball-inventory)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0001/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0001/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0001.json)

## Question 10502: A Strict Open Ball in a Complete Finite Metric

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0002`; number: 10502
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ball-inventory](/en/explore/?family=qf-mod23-metricconv-ball-inventory)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0002/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0002/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0002.json)

## Question 10503: A Strict Open Ball in a Complete Finite Metric

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0003`; number: 10503
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ball-inventory](/en/explore/?family=qf-mod23-metricconv-ball-inventory)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0003/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0003/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0003.json)

## Question 10504: A Strict Open Ball in a Complete Finite Metric

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0004`; number: 10504
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ball-inventory](/en/explore/?family=qf-mod23-metricconv-ball-inventory)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0004/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0004/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0004.json)

## Question 10505: A Strict Open Ball in a Complete Finite Metric

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0005`; number: 10505
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ball-inventory](/en/explore/?family=qf-mod23-metricconv-ball-inventory)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0005/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0005/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0005.json)

## Question 10506: A Strict Open Ball in a Complete Finite Metric

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0006`; number: 10506
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ball-inventory](/en/explore/?family=qf-mod23-metricconv-ball-inventory)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0006/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0006/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0006.json)

## Question 10507: A Strict Open Ball in a Complete Finite Metric

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0007`; number: 10507
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ball-inventory](/en/explore/?family=qf-mod23-metricconv-ball-inventory)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0007/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0007/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0007.json)

## Question 10508: A Strict Open Ball in a Complete Finite Metric

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0008`; number: 10508
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ball-inventory](/en/explore/?family=qf-mod23-metricconv-ball-inventory)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0008/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0008/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0008.json)

## Question 10509: A Strict Open Ball in a Complete Finite Metric

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0009`; number: 10509
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ball-inventory](/en/explore/?family=qf-mod23-metricconv-ball-inventory)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0009/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0009/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0009.json)

## Question 10510: A Strict Open Ball in a Complete Finite Metric

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0010`; number: 10510
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ball-inventory](/en/explore/?family=qf-mod23-metricconv-ball-inventory)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0010/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0010/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0010.json)

## Question 10511: A Strict Open Ball in a Complete Finite Metric

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0011`; number: 10511
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ball-inventory](/en/explore/?family=qf-mod23-metricconv-ball-inventory)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0011/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0011/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0011.json)

## Question 10512: A Strict Open Ball in a Complete Finite Metric

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0012`; number: 10512
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ball-inventory](/en/explore/?family=qf-mod23-metricconv-ball-inventory)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0012/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0012/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0012.json)

## Question 10513: A Strict Open Ball in a Complete Finite Metric

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0013`; number: 10513
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ball-inventory](/en/explore/?family=qf-mod23-metricconv-ball-inventory)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0013/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0013/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0013.json)

## Question 10514: A Strict Open Ball in a Complete Finite Metric

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0014`; number: 10514
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ball-inventory](/en/explore/?family=qf-mod23-metricconv-ball-inventory)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0014/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0014/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0014.json)

## Question 10515: A Strict Open Ball in a Complete Finite Metric

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0015`; number: 10515
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ball-inventory](/en/explore/?family=qf-mod23-metricconv-ball-inventory)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0015/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0015/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0015.json)

## Question 10516: A Strict Open Ball in a Complete Finite Metric

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0016`; number: 10516
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ball-inventory](/en/explore/?family=qf-mod23-metricconv-ball-inventory)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0016/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0016/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0016.json)

## Question 10517: A Strict Open Ball in a Complete Finite Metric

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0017`; number: 10517
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ball-inventory](/en/explore/?family=qf-mod23-metricconv-ball-inventory)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0017/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0017/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0017.json)

## Question 10518: A Strict Open Ball in a Complete Finite Metric

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0018`; number: 10518
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ball-inventory](/en/explore/?family=qf-mod23-metricconv-ball-inventory)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0018/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0018/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0018.json)

## Question 10519: A Strict Open Ball in a Complete Finite Metric

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0019`; number: 10519
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ball-inventory](/en/explore/?family=qf-mod23-metricconv-ball-inventory)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0019/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0019/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0019.json)

## Question 10520: A Strict Open Ball in a Complete Finite Metric

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0020`; number: 10520
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ball-inventory](/en/explore/?family=qf-mod23-metricconv-ball-inventory)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0020/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0020/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0020.json)

## Question 10521: A Strict Open Ball in a Complete Finite Metric

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0021`; number: 10521
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ball-inventory](/en/explore/?family=qf-mod23-metricconv-ball-inventory)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0021/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0021/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0021.json)

## Question 10522: A Strict Open Ball in a Complete Finite Metric

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0022`; number: 10522
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ball-inventory](/en/explore/?family=qf-mod23-metricconv-ball-inventory)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0022/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0022/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0022.json)

## Question 10523: A Strict Open Ball in a Complete Finite Metric

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0023`; number: 10523
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ball-inventory](/en/explore/?family=qf-mod23-metricconv-ball-inventory)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0023/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0023/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0023.json)

## Question 10524: A Strict Open Ball in a Complete Finite Metric

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0024`; number: 10524
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ball-inventory](/en/explore/?family=qf-mod23-metricconv-ball-inventory)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0024/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0024/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0024.json)

## Question 10525: A Strict Open Ball in a Complete Finite Metric

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0025`; number: 10525
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ball-inventory](/en/explore/?family=qf-mod23-metricconv-ball-inventory)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0025/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0025/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0025.json)

