# 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 16976: A Spanning Family May Give a Loose Upper Bound

- ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0076`; number: 16976
- Processing: second_context_reviewed
- MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/)
- Family: [qf-mod33-dimension-spanning-upper-bound](/en/explore/?family=qf-mod33-dimension-spanning-upper-bound)
- Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0076/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0076/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0076.json)

## Question 16977: A Spanning Family May Give a Loose Upper Bound

- ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0077`; number: 16977
- Processing: second_context_reviewed
- MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/)
- Family: [qf-mod33-dimension-spanning-upper-bound](/en/explore/?family=qf-mod33-dimension-spanning-upper-bound)
- Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0077/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0077/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0077.json)

## Question 16978: A Spanning Family May Give a Loose Upper Bound

- ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0078`; number: 16978
- Processing: second_context_reviewed
- MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/)
- Family: [qf-mod33-dimension-spanning-upper-bound](/en/explore/?family=qf-mod33-dimension-spanning-upper-bound)
- Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0078/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0078/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0078.json)

## Question 16979: A Spanning Family May Give a Loose Upper Bound

- ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0079`; number: 16979
- Processing: second_context_reviewed
- MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/)
- Family: [qf-mod33-dimension-spanning-upper-bound](/en/explore/?family=qf-mod33-dimension-spanning-upper-bound)
- Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0079/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0079/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0079.json)

## Question 16980: A Spanning Family May Give a Loose Upper Bound

- ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0080`; number: 16980
- Processing: second_context_reviewed
- MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/)
- Family: [qf-mod33-dimension-spanning-upper-bound](/en/explore/?family=qf-mod33-dimension-spanning-upper-bound)
- Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0080/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0080/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0080.json)

## Question 16981: A Spanning Family May Give a Loose Upper Bound

- ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0081`; number: 16981
- Processing: second_context_reviewed
- MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/)
- Family: [qf-mod33-dimension-spanning-upper-bound](/en/explore/?family=qf-mod33-dimension-spanning-upper-bound)
- Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0081/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0081/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0081.json)

## Question 16982: A Spanning Family May Give a Loose Upper Bound

- ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0082`; number: 16982
- Processing: second_context_reviewed
- MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/)
- Family: [qf-mod33-dimension-spanning-upper-bound](/en/explore/?family=qf-mod33-dimension-spanning-upper-bound)
- Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0082/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0082/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0082.json)

## Question 16983: A Spanning Family May Give a Loose Upper Bound

- ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0083`; number: 16983
- Processing: second_context_reviewed
- MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/)
- Family: [qf-mod33-dimension-spanning-upper-bound](/en/explore/?family=qf-mod33-dimension-spanning-upper-bound)
- Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0083/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0083/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0083.json)

## Question 16984: A Spanning Family May Give a Loose Upper Bound

- ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0084`; number: 16984
- Processing: second_context_reviewed
- MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/)
- Family: [qf-mod33-dimension-spanning-upper-bound](/en/explore/?family=qf-mod33-dimension-spanning-upper-bound)
- Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0084/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0084/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0084.json)

## Question 16985: A Spanning Family May Give a Loose Upper Bound

- ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0085`; number: 16985
- Processing: second_context_reviewed
- MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/)
- Family: [qf-mod33-dimension-spanning-upper-bound](/en/explore/?family=qf-mod33-dimension-spanning-upper-bound)
- Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0085/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0085/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0085.json)

## Question 16986: A Spanning Family May Give a Loose Upper Bound

- ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0086`; number: 16986
- Processing: second_context_reviewed
- MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/)
- Family: [qf-mod33-dimension-spanning-upper-bound](/en/explore/?family=qf-mod33-dimension-spanning-upper-bound)
- Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0086/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0086/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0086.json)

## Question 16987: A Spanning Family May Give a Loose Upper Bound

- ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0087`; number: 16987
- Processing: second_context_reviewed
- MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/)
- Family: [qf-mod33-dimension-spanning-upper-bound](/en/explore/?family=qf-mod33-dimension-spanning-upper-bound)
- Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0087/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0087/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0087.json)

## Question 16988: A Spanning Family May Give a Loose Upper Bound

- ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0088`; number: 16988
- Processing: second_context_reviewed
- MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/)
- Family: [qf-mod33-dimension-spanning-upper-bound](/en/explore/?family=qf-mod33-dimension-spanning-upper-bound)
- Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0088/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0088/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0088.json)

## Question 16989: A Spanning Family May Give a Loose Upper Bound

- ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0089`; number: 16989
- Processing: second_context_reviewed
- MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/)
- Family: [qf-mod33-dimension-spanning-upper-bound](/en/explore/?family=qf-mod33-dimension-spanning-upper-bound)
- Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0089/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0089/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0089.json)

## Question 16990: A Spanning Family May Give a Loose Upper Bound

- ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0090`; number: 16990
- Processing: second_context_reviewed
- MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/)
- Family: [qf-mod33-dimension-spanning-upper-bound](/en/explore/?family=qf-mod33-dimension-spanning-upper-bound)
- Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0090/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0090/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0090.json)

## Question 16991: A Spanning Family May Give a Loose Upper Bound

- ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0091`; number: 16991
- Processing: second_context_reviewed
- MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/)
- Family: [qf-mod33-dimension-spanning-upper-bound](/en/explore/?family=qf-mod33-dimension-spanning-upper-bound)
- Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0091/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0091/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0091.json)

## Question 16992: A Spanning Family May Give a Loose Upper Bound

- ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0092`; number: 16992
- Processing: second_context_reviewed
- MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/)
- Family: [qf-mod33-dimension-spanning-upper-bound](/en/explore/?family=qf-mod33-dimension-spanning-upper-bound)
- Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0092/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0092/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0092.json)

## Question 16993: A Spanning Family May Give a Loose Upper Bound

- ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0093`; number: 16993
- Processing: second_context_reviewed
- MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/)
- Family: [qf-mod33-dimension-spanning-upper-bound](/en/explore/?family=qf-mod33-dimension-spanning-upper-bound)
- Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0093/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0093/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0093.json)

## Question 16994: A Spanning Family May Give a Loose Upper Bound

- ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0094`; number: 16994
- Processing: second_context_reviewed
- MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/)
- Family: [qf-mod33-dimension-spanning-upper-bound](/en/explore/?family=qf-mod33-dimension-spanning-upper-bound)
- Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0094/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0094/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0094.json)

## Question 16995: A Spanning Family May Give a Loose Upper Bound

- ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0095`; number: 16995
- Processing: second_context_reviewed
- MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/)
- Family: [qf-mod33-dimension-spanning-upper-bound](/en/explore/?family=qf-mod33-dimension-spanning-upper-bound)
- Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0095/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0095/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0095.json)

## Question 16996: A Spanning Family May Give a Loose Upper Bound

- ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0096`; number: 16996
- Processing: second_context_reviewed
- MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/)
- Family: [qf-mod33-dimension-spanning-upper-bound](/en/explore/?family=qf-mod33-dimension-spanning-upper-bound)
- Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0096/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0096/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0096.json)

## Question 16997: A Spanning Family May Give a Loose Upper Bound

- ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0097`; number: 16997
- Processing: second_context_reviewed
- MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/)
- Family: [qf-mod33-dimension-spanning-upper-bound](/en/explore/?family=qf-mod33-dimension-spanning-upper-bound)
- Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0097/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0097/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0097.json)

## Question 16998: A Spanning Family May Give a Loose Upper Bound

- ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0098`; number: 16998
- Processing: second_context_reviewed
- MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/)
- Family: [qf-mod33-dimension-spanning-upper-bound](/en/explore/?family=qf-mod33-dimension-spanning-upper-bound)
- Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0098/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0098/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0098.json)

## Question 16999: A Spanning Family May Give a Loose Upper Bound

- ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0099`; number: 16999
- Processing: second_context_reviewed
- MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/)
- Family: [qf-mod33-dimension-spanning-upper-bound](/en/explore/?family=qf-mod33-dimension-spanning-upper-bound)
- Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0099/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0099/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0099.json)

## Question 17000: A Spanning Family May Give a Loose Upper Bound

- ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0100`; number: 17000
- Processing: second_context_reviewed
- MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/)
- Family: [qf-mod33-dimension-spanning-upper-bound](/en/explore/?family=qf-mod33-dimension-spanning-upper-bound)
- Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0100/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0100/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0100.json)

