# 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.

36000 results; page 67/1440.

## Question 1651: Relative Error with an Explicit Nonzero Reference

- ID: `q-20261013-advance-20261020-r03-numerical-approximation-error-0026`; number: 1651
- Processing: second_context_reviewed
- MKO: [mko-numerical-approximation-error](/en/mko/mko-numerical-approximation-error/)
- Family: [qf-app20-error-relative-error](/en/explore/?family=qf-app20-error-relative-error)
- Batch: [batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations](/en/explore/?batch=batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0026/) / [Markdown](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0026/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0026.json)

## Question 1652: Relative Error with an Explicit Nonzero Reference

- ID: `q-20261013-advance-20261020-r03-numerical-approximation-error-0027`; number: 1652
- Processing: second_context_reviewed
- MKO: [mko-numerical-approximation-error](/en/mko/mko-numerical-approximation-error/)
- Family: [qf-app20-error-relative-error](/en/explore/?family=qf-app20-error-relative-error)
- Batch: [batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations](/en/explore/?batch=batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0027/) / [Markdown](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0027/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0027.json)

## Question 1653: Relative Error with an Explicit Nonzero Reference

- ID: `q-20261013-advance-20261020-r03-numerical-approximation-error-0028`; number: 1653
- Processing: second_context_reviewed
- MKO: [mko-numerical-approximation-error](/en/mko/mko-numerical-approximation-error/)
- Family: [qf-app20-error-relative-error](/en/explore/?family=qf-app20-error-relative-error)
- Batch: [batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations](/en/explore/?batch=batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0028/) / [Markdown](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0028/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0028.json)

## Question 1654: Relative Error with an Explicit Nonzero Reference

- ID: `q-20261013-advance-20261020-r03-numerical-approximation-error-0029`; number: 1654
- Processing: second_context_reviewed
- MKO: [mko-numerical-approximation-error](/en/mko/mko-numerical-approximation-error/)
- Family: [qf-app20-error-relative-error](/en/explore/?family=qf-app20-error-relative-error)
- Batch: [batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations](/en/explore/?batch=batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0029/) / [Markdown](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0029/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0029.json)

## Question 1655: Relative Error with an Explicit Nonzero Reference

- ID: `q-20261013-advance-20261020-r03-numerical-approximation-error-0030`; number: 1655
- Processing: second_context_reviewed
- MKO: [mko-numerical-approximation-error](/en/mko/mko-numerical-approximation-error/)
- Family: [qf-app20-error-relative-error](/en/explore/?family=qf-app20-error-relative-error)
- Batch: [batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations](/en/explore/?batch=batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0030/) / [Markdown](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0030/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0030.json)

## Question 1656: Relative Error with an Explicit Nonzero Reference

- ID: `q-20261013-advance-20261020-r03-numerical-approximation-error-0031`; number: 1656
- Processing: second_context_reviewed
- MKO: [mko-numerical-approximation-error](/en/mko/mko-numerical-approximation-error/)
- Family: [qf-app20-error-relative-error](/en/explore/?family=qf-app20-error-relative-error)
- Batch: [batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations](/en/explore/?batch=batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0031/) / [Markdown](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0031/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0031.json)

## Question 1657: Relative Error with an Explicit Nonzero Reference

- ID: `q-20261013-advance-20261020-r03-numerical-approximation-error-0032`; number: 1657
- Processing: second_context_reviewed
- MKO: [mko-numerical-approximation-error](/en/mko/mko-numerical-approximation-error/)
- Family: [qf-app20-error-relative-error](/en/explore/?family=qf-app20-error-relative-error)
- Batch: [batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations](/en/explore/?batch=batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0032/) / [Markdown](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0032/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0032.json)

## Question 1658: Relative Error with an Explicit Nonzero Reference

- ID: `q-20261013-advance-20261020-r03-numerical-approximation-error-0033`; number: 1658
- Processing: second_context_reviewed
- MKO: [mko-numerical-approximation-error](/en/mko/mko-numerical-approximation-error/)
- Family: [qf-app20-error-relative-error](/en/explore/?family=qf-app20-error-relative-error)
- Batch: [batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations](/en/explore/?batch=batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0033/) / [Markdown](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0033/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0033.json)

## Question 1659: Relative Error with an Explicit Nonzero Reference

- ID: `q-20261013-advance-20261020-r03-numerical-approximation-error-0034`; number: 1659
- Processing: second_context_reviewed
- MKO: [mko-numerical-approximation-error](/en/mko/mko-numerical-approximation-error/)
- Family: [qf-app20-error-relative-error](/en/explore/?family=qf-app20-error-relative-error)
- Batch: [batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations](/en/explore/?batch=batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0034/) / [Markdown](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0034/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0034.json)

## Question 1660: Relative Error with an Explicit Nonzero Reference

- ID: `q-20261013-advance-20261020-r03-numerical-approximation-error-0035`; number: 1660
- Processing: second_context_reviewed
- MKO: [mko-numerical-approximation-error](/en/mko/mko-numerical-approximation-error/)
- Family: [qf-app20-error-relative-error](/en/explore/?family=qf-app20-error-relative-error)
- Batch: [batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations](/en/explore/?batch=batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0035/) / [Markdown](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0035/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0035.json)

## Question 1661: Relative Error with an Explicit Nonzero Reference

- ID: `q-20261013-advance-20261020-r03-numerical-approximation-error-0036`; number: 1661
- Processing: second_context_reviewed
- MKO: [mko-numerical-approximation-error](/en/mko/mko-numerical-approximation-error/)
- Family: [qf-app20-error-relative-error](/en/explore/?family=qf-app20-error-relative-error)
- Batch: [batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations](/en/explore/?batch=batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0036/) / [Markdown](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0036/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0036.json)

## Question 1662: Relative Error with an Explicit Nonzero Reference

- ID: `q-20261013-advance-20261020-r03-numerical-approximation-error-0037`; number: 1662
- Processing: second_context_reviewed
- MKO: [mko-numerical-approximation-error](/en/mko/mko-numerical-approximation-error/)
- Family: [qf-app20-error-relative-error](/en/explore/?family=qf-app20-error-relative-error)
- Batch: [batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations](/en/explore/?batch=batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0037/) / [Markdown](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0037/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0037.json)

## Question 1663: Relative Error with an Explicit Nonzero Reference

- ID: `q-20261013-advance-20261020-r03-numerical-approximation-error-0038`; number: 1663
- Processing: second_context_reviewed
- MKO: [mko-numerical-approximation-error](/en/mko/mko-numerical-approximation-error/)
- Family: [qf-app20-error-relative-error](/en/explore/?family=qf-app20-error-relative-error)
- Batch: [batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations](/en/explore/?batch=batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0038/) / [Markdown](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0038/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0038.json)

## Question 1664: Relative Error with an Explicit Nonzero Reference

- ID: `q-20261013-advance-20261020-r03-numerical-approximation-error-0039`; number: 1664
- Processing: second_context_reviewed
- MKO: [mko-numerical-approximation-error](/en/mko/mko-numerical-approximation-error/)
- Family: [qf-app20-error-relative-error](/en/explore/?family=qf-app20-error-relative-error)
- Batch: [batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations](/en/explore/?batch=batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0039/) / [Markdown](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0039/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0039.json)

## Question 1665: Relative Error with an Explicit Nonzero Reference

- ID: `q-20261013-advance-20261020-r03-numerical-approximation-error-0040`; number: 1665
- Processing: second_context_reviewed
- MKO: [mko-numerical-approximation-error](/en/mko/mko-numerical-approximation-error/)
- Family: [qf-app20-error-relative-error](/en/explore/?family=qf-app20-error-relative-error)
- Batch: [batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations](/en/explore/?batch=batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0040/) / [Markdown](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0040/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0040.json)

## Question 1666: Relative Error with an Explicit Nonzero Reference

- ID: `q-20261013-advance-20261020-r03-numerical-approximation-error-0041`; number: 1666
- Processing: second_context_reviewed
- MKO: [mko-numerical-approximation-error](/en/mko/mko-numerical-approximation-error/)
- Family: [qf-app20-error-relative-error](/en/explore/?family=qf-app20-error-relative-error)
- Batch: [batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations](/en/explore/?batch=batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0041/) / [Markdown](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0041/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0041.json)

## Question 1667: Relative Error with an Explicit Nonzero Reference

- ID: `q-20261013-advance-20261020-r03-numerical-approximation-error-0042`; number: 1667
- Processing: second_context_reviewed
- MKO: [mko-numerical-approximation-error](/en/mko/mko-numerical-approximation-error/)
- Family: [qf-app20-error-relative-error](/en/explore/?family=qf-app20-error-relative-error)
- Batch: [batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations](/en/explore/?batch=batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0042/) / [Markdown](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0042/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0042.json)

## Question 1668: Relative Error with an Explicit Nonzero Reference

- ID: `q-20261013-advance-20261020-r03-numerical-approximation-error-0043`; number: 1668
- Processing: second_context_reviewed
- MKO: [mko-numerical-approximation-error](/en/mko/mko-numerical-approximation-error/)
- Family: [qf-app20-error-relative-error](/en/explore/?family=qf-app20-error-relative-error)
- Batch: [batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations](/en/explore/?batch=batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0043/) / [Markdown](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0043/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0043.json)

## Question 1669: Relative Error with an Explicit Nonzero Reference

- ID: `q-20261013-advance-20261020-r03-numerical-approximation-error-0044`; number: 1669
- Processing: second_context_reviewed
- MKO: [mko-numerical-approximation-error](/en/mko/mko-numerical-approximation-error/)
- Family: [qf-app20-error-relative-error](/en/explore/?family=qf-app20-error-relative-error)
- Batch: [batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations](/en/explore/?batch=batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0044/) / [Markdown](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0044/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0044.json)

## Question 1670: Relative Error with an Explicit Nonzero Reference

- ID: `q-20261013-advance-20261020-r03-numerical-approximation-error-0045`; number: 1670
- Processing: second_context_reviewed
- MKO: [mko-numerical-approximation-error](/en/mko/mko-numerical-approximation-error/)
- Family: [qf-app20-error-relative-error](/en/explore/?family=qf-app20-error-relative-error)
- Batch: [batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations](/en/explore/?batch=batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0045/) / [Markdown](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0045/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0045.json)

## Question 1671: Relative Error with an Explicit Nonzero Reference

- ID: `q-20261013-advance-20261020-r03-numerical-approximation-error-0046`; number: 1671
- Processing: second_context_reviewed
- MKO: [mko-numerical-approximation-error](/en/mko/mko-numerical-approximation-error/)
- Family: [qf-app20-error-relative-error](/en/explore/?family=qf-app20-error-relative-error)
- Batch: [batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations](/en/explore/?batch=batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0046/) / [Markdown](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0046/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0046.json)

## Question 1672: Relative Error with an Explicit Nonzero Reference

- ID: `q-20261013-advance-20261020-r03-numerical-approximation-error-0047`; number: 1672
- Processing: second_context_reviewed
- MKO: [mko-numerical-approximation-error](/en/mko/mko-numerical-approximation-error/)
- Family: [qf-app20-error-relative-error](/en/explore/?family=qf-app20-error-relative-error)
- Batch: [batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations](/en/explore/?batch=batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0047/) / [Markdown](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0047/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0047.json)

## Question 1673: Relative Error with an Explicit Nonzero Reference

- ID: `q-20261013-advance-20261020-r03-numerical-approximation-error-0048`; number: 1673
- Processing: second_context_reviewed
- MKO: [mko-numerical-approximation-error](/en/mko/mko-numerical-approximation-error/)
- Family: [qf-app20-error-relative-error](/en/explore/?family=qf-app20-error-relative-error)
- Batch: [batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations](/en/explore/?batch=batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0048/) / [Markdown](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0048/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0048.json)

## Question 1674: Relative Error with an Explicit Nonzero Reference

- ID: `q-20261013-advance-20261020-r03-numerical-approximation-error-0049`; number: 1674
- Processing: second_context_reviewed
- MKO: [mko-numerical-approximation-error](/en/mko/mko-numerical-approximation-error/)
- Family: [qf-app20-error-relative-error](/en/explore/?family=qf-app20-error-relative-error)
- Batch: [batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations](/en/explore/?batch=batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0049/) / [Markdown](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0049/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0049.json)

## Question 1675: Relative Error with an Explicit Nonzero Reference

- ID: `q-20261013-advance-20261020-r03-numerical-approximation-error-0050`; number: 1675
- Processing: second_context_reviewed
- MKO: [mko-numerical-approximation-error](/en/mko/mko-numerical-approximation-error/)
- Family: [qf-app20-error-relative-error](/en/explore/?family=qf-app20-error-relative-error)
- Batch: [batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations](/en/explore/?batch=batch-20261013-advance-20261020-r03-numerical-approximation-error-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0050/) / [Markdown](/en/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0050/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261020-r03-numerical-approximation-error-0050.json)

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