# 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.

200 results; page 7/8.

## Question 33251: Explicit Reconstruction without Conflating Span and Independence

- ID: `q-20261013-advance-20261025-r04-linear-independence-basis-0001`; number: 33251
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod25-basisdeep-span-witness-audit](/en/explore/?family=qf-mod25-basisdeep-span-witness-audit)
- Batch: [batch-20261013-advance-20261025-r04-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r04-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0001/) / [Markdown](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0001/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0001.json)

## Question 33252: Explicit Reconstruction without Conflating Span and Independence

- ID: `q-20261013-advance-20261025-r04-linear-independence-basis-0002`; number: 33252
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod25-basisdeep-span-witness-audit](/en/explore/?family=qf-mod25-basisdeep-span-witness-audit)
- Batch: [batch-20261013-advance-20261025-r04-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r04-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0002/) / [Markdown](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0002/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0002.json)

## Question 33253: Explicit Reconstruction without Conflating Span and Independence

- ID: `q-20261013-advance-20261025-r04-linear-independence-basis-0003`; number: 33253
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod25-basisdeep-span-witness-audit](/en/explore/?family=qf-mod25-basisdeep-span-witness-audit)
- Batch: [batch-20261013-advance-20261025-r04-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r04-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0003/) / [Markdown](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0003/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0003.json)

## Question 33254: Explicit Reconstruction without Conflating Span and Independence

- ID: `q-20261013-advance-20261025-r04-linear-independence-basis-0004`; number: 33254
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod25-basisdeep-span-witness-audit](/en/explore/?family=qf-mod25-basisdeep-span-witness-audit)
- Batch: [batch-20261013-advance-20261025-r04-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r04-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0004/) / [Markdown](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0004/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0004.json)

## Question 33255: Explicit Reconstruction without Conflating Span and Independence

- ID: `q-20261013-advance-20261025-r04-linear-independence-basis-0005`; number: 33255
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod25-basisdeep-span-witness-audit](/en/explore/?family=qf-mod25-basisdeep-span-witness-audit)
- Batch: [batch-20261013-advance-20261025-r04-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r04-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0005/) / [Markdown](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0005/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0005.json)

## Question 33256: Explicit Reconstruction without Conflating Span and Independence

- ID: `q-20261013-advance-20261025-r04-linear-independence-basis-0006`; number: 33256
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod25-basisdeep-span-witness-audit](/en/explore/?family=qf-mod25-basisdeep-span-witness-audit)
- Batch: [batch-20261013-advance-20261025-r04-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r04-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0006/) / [Markdown](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0006/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0006.json)

## Question 33257: Explicit Reconstruction without Conflating Span and Independence

- ID: `q-20261013-advance-20261025-r04-linear-independence-basis-0007`; number: 33257
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod25-basisdeep-span-witness-audit](/en/explore/?family=qf-mod25-basisdeep-span-witness-audit)
- Batch: [batch-20261013-advance-20261025-r04-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r04-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0007/) / [Markdown](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0007/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0007.json)

## Question 33258: Explicit Reconstruction without Conflating Span and Independence

- ID: `q-20261013-advance-20261025-r04-linear-independence-basis-0008`; number: 33258
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod25-basisdeep-span-witness-audit](/en/explore/?family=qf-mod25-basisdeep-span-witness-audit)
- Batch: [batch-20261013-advance-20261025-r04-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r04-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0008/) / [Markdown](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0008/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0008.json)

## Question 33259: Explicit Reconstruction without Conflating Span and Independence

- ID: `q-20261013-advance-20261025-r04-linear-independence-basis-0009`; number: 33259
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod25-basisdeep-span-witness-audit](/en/explore/?family=qf-mod25-basisdeep-span-witness-audit)
- Batch: [batch-20261013-advance-20261025-r04-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r04-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0009/) / [Markdown](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0009/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0009.json)

## Question 33260: Explicit Reconstruction without Conflating Span and Independence

- ID: `q-20261013-advance-20261025-r04-linear-independence-basis-0010`; number: 33260
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod25-basisdeep-span-witness-audit](/en/explore/?family=qf-mod25-basisdeep-span-witness-audit)
- Batch: [batch-20261013-advance-20261025-r04-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r04-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0010/) / [Markdown](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0010/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0010.json)

## Question 33261: Explicit Reconstruction without Conflating Span and Independence

- ID: `q-20261013-advance-20261025-r04-linear-independence-basis-0011`; number: 33261
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod25-basisdeep-span-witness-audit](/en/explore/?family=qf-mod25-basisdeep-span-witness-audit)
- Batch: [batch-20261013-advance-20261025-r04-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r04-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0011/) / [Markdown](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0011/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0011.json)

## Question 33262: Explicit Reconstruction without Conflating Span and Independence

- ID: `q-20261013-advance-20261025-r04-linear-independence-basis-0012`; number: 33262
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod25-basisdeep-span-witness-audit](/en/explore/?family=qf-mod25-basisdeep-span-witness-audit)
- Batch: [batch-20261013-advance-20261025-r04-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r04-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0012/) / [Markdown](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0012/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0012.json)

## Question 33263: Explicit Reconstruction without Conflating Span and Independence

- ID: `q-20261013-advance-20261025-r04-linear-independence-basis-0013`; number: 33263
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod25-basisdeep-span-witness-audit](/en/explore/?family=qf-mod25-basisdeep-span-witness-audit)
- Batch: [batch-20261013-advance-20261025-r04-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r04-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0013/) / [Markdown](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0013/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0013.json)

## Question 33264: Explicit Reconstruction without Conflating Span and Independence

- ID: `q-20261013-advance-20261025-r04-linear-independence-basis-0014`; number: 33264
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod25-basisdeep-span-witness-audit](/en/explore/?family=qf-mod25-basisdeep-span-witness-audit)
- Batch: [batch-20261013-advance-20261025-r04-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r04-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0014/) / [Markdown](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0014/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0014.json)

## Question 33265: Explicit Reconstruction without Conflating Span and Independence

- ID: `q-20261013-advance-20261025-r04-linear-independence-basis-0015`; number: 33265
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod25-basisdeep-span-witness-audit](/en/explore/?family=qf-mod25-basisdeep-span-witness-audit)
- Batch: [batch-20261013-advance-20261025-r04-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r04-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0015/) / [Markdown](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0015/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0015.json)

## Question 33266: Explicit Reconstruction without Conflating Span and Independence

- ID: `q-20261013-advance-20261025-r04-linear-independence-basis-0016`; number: 33266
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod25-basisdeep-span-witness-audit](/en/explore/?family=qf-mod25-basisdeep-span-witness-audit)
- Batch: [batch-20261013-advance-20261025-r04-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r04-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0016/) / [Markdown](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0016/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0016.json)

## Question 33267: Explicit Reconstruction without Conflating Span and Independence

- ID: `q-20261013-advance-20261025-r04-linear-independence-basis-0017`; number: 33267
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod25-basisdeep-span-witness-audit](/en/explore/?family=qf-mod25-basisdeep-span-witness-audit)
- Batch: [batch-20261013-advance-20261025-r04-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r04-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0017/) / [Markdown](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0017/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0017.json)

## Question 33268: Explicit Reconstruction without Conflating Span and Independence

- ID: `q-20261013-advance-20261025-r04-linear-independence-basis-0018`; number: 33268
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod25-basisdeep-span-witness-audit](/en/explore/?family=qf-mod25-basisdeep-span-witness-audit)
- Batch: [batch-20261013-advance-20261025-r04-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r04-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0018/) / [Markdown](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0018/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0018.json)

## Question 33269: Explicit Reconstruction without Conflating Span and Independence

- ID: `q-20261013-advance-20261025-r04-linear-independence-basis-0019`; number: 33269
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod25-basisdeep-span-witness-audit](/en/explore/?family=qf-mod25-basisdeep-span-witness-audit)
- Batch: [batch-20261013-advance-20261025-r04-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r04-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0019/) / [Markdown](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0019/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0019.json)

## Question 33270: Explicit Reconstruction without Conflating Span and Independence

- ID: `q-20261013-advance-20261025-r04-linear-independence-basis-0020`; number: 33270
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod25-basisdeep-span-witness-audit](/en/explore/?family=qf-mod25-basisdeep-span-witness-audit)
- Batch: [batch-20261013-advance-20261025-r04-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r04-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0020/) / [Markdown](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0020/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0020.json)

## Question 33271: Explicit Reconstruction without Conflating Span and Independence

- ID: `q-20261013-advance-20261025-r04-linear-independence-basis-0021`; number: 33271
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod25-basisdeep-span-witness-audit](/en/explore/?family=qf-mod25-basisdeep-span-witness-audit)
- Batch: [batch-20261013-advance-20261025-r04-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r04-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0021/) / [Markdown](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0021/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0021.json)

## Question 33272: Explicit Reconstruction without Conflating Span and Independence

- ID: `q-20261013-advance-20261025-r04-linear-independence-basis-0022`; number: 33272
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod25-basisdeep-span-witness-audit](/en/explore/?family=qf-mod25-basisdeep-span-witness-audit)
- Batch: [batch-20261013-advance-20261025-r04-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r04-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0022/) / [Markdown](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0022/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0022.json)

## Question 33273: Explicit Reconstruction without Conflating Span and Independence

- ID: `q-20261013-advance-20261025-r04-linear-independence-basis-0023`; number: 33273
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod25-basisdeep-span-witness-audit](/en/explore/?family=qf-mod25-basisdeep-span-witness-audit)
- Batch: [batch-20261013-advance-20261025-r04-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r04-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0023/) / [Markdown](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0023/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0023.json)

## Question 33274: Explicit Reconstruction without Conflating Span and Independence

- ID: `q-20261013-advance-20261025-r04-linear-independence-basis-0024`; number: 33274
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod25-basisdeep-span-witness-audit](/en/explore/?family=qf-mod25-basisdeep-span-witness-audit)
- Batch: [batch-20261013-advance-20261025-r04-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r04-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0024/) / [Markdown](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0024/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0024.json)

## Question 33275: Explicit Reconstruction without Conflating Span and Independence

- ID: `q-20261013-advance-20261025-r04-linear-independence-basis-0025`; number: 33275
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod25-basisdeep-span-witness-audit](/en/explore/?family=qf-mod25-basisdeep-span-witness-audit)
- Batch: [batch-20261013-advance-20261025-r04-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r04-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0025/) / [Markdown](/en/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0025/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r04-linear-independence-basis-0025.json)

[Next](/en/explore/index.md?mko=mko-linear-independence-basis&page=8)
