# 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 29676: A Declared Real-Scalar Instance on Integer Coordinates

- ID: `q-20261013-advance-20261022-r04-real-vector-space-0026`; number: 29676
- Processing: second_context_reviewed
- MKO: [mko-real-vector-space](/en/mko/mko-real-vector-space/)
- Family: [qf-str22-vectorspace-scalar-multiplication](/en/explore/?family=qf-str22-vectorspace-scalar-multiplication)
- Batch: [batch-20261013-advance-20261022-r04-real-vector-space-foundations](/en/explore/?batch=batch-20261013-advance-20261022-r04-real-vector-space-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0026/) / [Markdown](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0026/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261022-r04-real-vector-space-0026.json)

## Question 29677: A Declared Real-Scalar Instance on Integer Coordinates

- ID: `q-20261013-advance-20261022-r04-real-vector-space-0027`; number: 29677
- Processing: second_context_reviewed
- MKO: [mko-real-vector-space](/en/mko/mko-real-vector-space/)
- Family: [qf-str22-vectorspace-scalar-multiplication](/en/explore/?family=qf-str22-vectorspace-scalar-multiplication)
- Batch: [batch-20261013-advance-20261022-r04-real-vector-space-foundations](/en/explore/?batch=batch-20261013-advance-20261022-r04-real-vector-space-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0027/) / [Markdown](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0027/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261022-r04-real-vector-space-0027.json)

## Question 29678: A Declared Real-Scalar Instance on Integer Coordinates

- ID: `q-20261013-advance-20261022-r04-real-vector-space-0028`; number: 29678
- Processing: second_context_reviewed
- MKO: [mko-real-vector-space](/en/mko/mko-real-vector-space/)
- Family: [qf-str22-vectorspace-scalar-multiplication](/en/explore/?family=qf-str22-vectorspace-scalar-multiplication)
- Batch: [batch-20261013-advance-20261022-r04-real-vector-space-foundations](/en/explore/?batch=batch-20261013-advance-20261022-r04-real-vector-space-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0028/) / [Markdown](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0028/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261022-r04-real-vector-space-0028.json)

## Question 29679: A Declared Real-Scalar Instance on Integer Coordinates

- ID: `q-20261013-advance-20261022-r04-real-vector-space-0029`; number: 29679
- Processing: second_context_reviewed
- MKO: [mko-real-vector-space](/en/mko/mko-real-vector-space/)
- Family: [qf-str22-vectorspace-scalar-multiplication](/en/explore/?family=qf-str22-vectorspace-scalar-multiplication)
- Batch: [batch-20261013-advance-20261022-r04-real-vector-space-foundations](/en/explore/?batch=batch-20261013-advance-20261022-r04-real-vector-space-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0029/) / [Markdown](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0029/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261022-r04-real-vector-space-0029.json)

## Question 29680: A Declared Real-Scalar Instance on Integer Coordinates

- ID: `q-20261013-advance-20261022-r04-real-vector-space-0030`; number: 29680
- Processing: second_context_reviewed
- MKO: [mko-real-vector-space](/en/mko/mko-real-vector-space/)
- Family: [qf-str22-vectorspace-scalar-multiplication](/en/explore/?family=qf-str22-vectorspace-scalar-multiplication)
- Batch: [batch-20261013-advance-20261022-r04-real-vector-space-foundations](/en/explore/?batch=batch-20261013-advance-20261022-r04-real-vector-space-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0030/) / [Markdown](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0030/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261022-r04-real-vector-space-0030.json)

## Question 29681: A Declared Real-Scalar Instance on Integer Coordinates

- ID: `q-20261013-advance-20261022-r04-real-vector-space-0031`; number: 29681
- Processing: second_context_reviewed
- MKO: [mko-real-vector-space](/en/mko/mko-real-vector-space/)
- Family: [qf-str22-vectorspace-scalar-multiplication](/en/explore/?family=qf-str22-vectorspace-scalar-multiplication)
- Batch: [batch-20261013-advance-20261022-r04-real-vector-space-foundations](/en/explore/?batch=batch-20261013-advance-20261022-r04-real-vector-space-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0031/) / [Markdown](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0031/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261022-r04-real-vector-space-0031.json)

## Question 29682: A Declared Real-Scalar Instance on Integer Coordinates

- ID: `q-20261013-advance-20261022-r04-real-vector-space-0032`; number: 29682
- Processing: second_context_reviewed
- MKO: [mko-real-vector-space](/en/mko/mko-real-vector-space/)
- Family: [qf-str22-vectorspace-scalar-multiplication](/en/explore/?family=qf-str22-vectorspace-scalar-multiplication)
- Batch: [batch-20261013-advance-20261022-r04-real-vector-space-foundations](/en/explore/?batch=batch-20261013-advance-20261022-r04-real-vector-space-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0032/) / [Markdown](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0032/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261022-r04-real-vector-space-0032.json)

## Question 29683: A Declared Real-Scalar Instance on Integer Coordinates

- ID: `q-20261013-advance-20261022-r04-real-vector-space-0033`; number: 29683
- Processing: second_context_reviewed
- MKO: [mko-real-vector-space](/en/mko/mko-real-vector-space/)
- Family: [qf-str22-vectorspace-scalar-multiplication](/en/explore/?family=qf-str22-vectorspace-scalar-multiplication)
- Batch: [batch-20261013-advance-20261022-r04-real-vector-space-foundations](/en/explore/?batch=batch-20261013-advance-20261022-r04-real-vector-space-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0033/) / [Markdown](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0033/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261022-r04-real-vector-space-0033.json)

## Question 29684: A Declared Real-Scalar Instance on Integer Coordinates

- ID: `q-20261013-advance-20261022-r04-real-vector-space-0034`; number: 29684
- Processing: second_context_reviewed
- MKO: [mko-real-vector-space](/en/mko/mko-real-vector-space/)
- Family: [qf-str22-vectorspace-scalar-multiplication](/en/explore/?family=qf-str22-vectorspace-scalar-multiplication)
- Batch: [batch-20261013-advance-20261022-r04-real-vector-space-foundations](/en/explore/?batch=batch-20261013-advance-20261022-r04-real-vector-space-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0034/) / [Markdown](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0034/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261022-r04-real-vector-space-0034.json)

## Question 29685: A Declared Real-Scalar Instance on Integer Coordinates

- ID: `q-20261013-advance-20261022-r04-real-vector-space-0035`; number: 29685
- Processing: second_context_reviewed
- MKO: [mko-real-vector-space](/en/mko/mko-real-vector-space/)
- Family: [qf-str22-vectorspace-scalar-multiplication](/en/explore/?family=qf-str22-vectorspace-scalar-multiplication)
- Batch: [batch-20261013-advance-20261022-r04-real-vector-space-foundations](/en/explore/?batch=batch-20261013-advance-20261022-r04-real-vector-space-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0035/) / [Markdown](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0035/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261022-r04-real-vector-space-0035.json)

## Question 29686: A Declared Real-Scalar Instance on Integer Coordinates

- ID: `q-20261013-advance-20261022-r04-real-vector-space-0036`; number: 29686
- Processing: second_context_reviewed
- MKO: [mko-real-vector-space](/en/mko/mko-real-vector-space/)
- Family: [qf-str22-vectorspace-scalar-multiplication](/en/explore/?family=qf-str22-vectorspace-scalar-multiplication)
- Batch: [batch-20261013-advance-20261022-r04-real-vector-space-foundations](/en/explore/?batch=batch-20261013-advance-20261022-r04-real-vector-space-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0036/) / [Markdown](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0036/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261022-r04-real-vector-space-0036.json)

## Question 29687: A Declared Real-Scalar Instance on Integer Coordinates

- ID: `q-20261013-advance-20261022-r04-real-vector-space-0037`; number: 29687
- Processing: second_context_reviewed
- MKO: [mko-real-vector-space](/en/mko/mko-real-vector-space/)
- Family: [qf-str22-vectorspace-scalar-multiplication](/en/explore/?family=qf-str22-vectorspace-scalar-multiplication)
- Batch: [batch-20261013-advance-20261022-r04-real-vector-space-foundations](/en/explore/?batch=batch-20261013-advance-20261022-r04-real-vector-space-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0037/) / [Markdown](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0037/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261022-r04-real-vector-space-0037.json)

## Question 29688: A Declared Real-Scalar Instance on Integer Coordinates

- ID: `q-20261013-advance-20261022-r04-real-vector-space-0038`; number: 29688
- Processing: second_context_reviewed
- MKO: [mko-real-vector-space](/en/mko/mko-real-vector-space/)
- Family: [qf-str22-vectorspace-scalar-multiplication](/en/explore/?family=qf-str22-vectorspace-scalar-multiplication)
- Batch: [batch-20261013-advance-20261022-r04-real-vector-space-foundations](/en/explore/?batch=batch-20261013-advance-20261022-r04-real-vector-space-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0038/) / [Markdown](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0038/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261022-r04-real-vector-space-0038.json)

## Question 29689: A Declared Real-Scalar Instance on Integer Coordinates

- ID: `q-20261013-advance-20261022-r04-real-vector-space-0039`; number: 29689
- Processing: second_context_reviewed
- MKO: [mko-real-vector-space](/en/mko/mko-real-vector-space/)
- Family: [qf-str22-vectorspace-scalar-multiplication](/en/explore/?family=qf-str22-vectorspace-scalar-multiplication)
- Batch: [batch-20261013-advance-20261022-r04-real-vector-space-foundations](/en/explore/?batch=batch-20261013-advance-20261022-r04-real-vector-space-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0039/) / [Markdown](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0039/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261022-r04-real-vector-space-0039.json)

## Question 29690: A Declared Real-Scalar Instance on Integer Coordinates

- ID: `q-20261013-advance-20261022-r04-real-vector-space-0040`; number: 29690
- Processing: second_context_reviewed
- MKO: [mko-real-vector-space](/en/mko/mko-real-vector-space/)
- Family: [qf-str22-vectorspace-scalar-multiplication](/en/explore/?family=qf-str22-vectorspace-scalar-multiplication)
- Batch: [batch-20261013-advance-20261022-r04-real-vector-space-foundations](/en/explore/?batch=batch-20261013-advance-20261022-r04-real-vector-space-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0040/) / [Markdown](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0040/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261022-r04-real-vector-space-0040.json)

## Question 29691: A Declared Real-Scalar Instance on Integer Coordinates

- ID: `q-20261013-advance-20261022-r04-real-vector-space-0041`; number: 29691
- Processing: second_context_reviewed
- MKO: [mko-real-vector-space](/en/mko/mko-real-vector-space/)
- Family: [qf-str22-vectorspace-scalar-multiplication](/en/explore/?family=qf-str22-vectorspace-scalar-multiplication)
- Batch: [batch-20261013-advance-20261022-r04-real-vector-space-foundations](/en/explore/?batch=batch-20261013-advance-20261022-r04-real-vector-space-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0041/) / [Markdown](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0041/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261022-r04-real-vector-space-0041.json)

## Question 29692: A Declared Real-Scalar Instance on Integer Coordinates

- ID: `q-20261013-advance-20261022-r04-real-vector-space-0042`; number: 29692
- Processing: second_context_reviewed
- MKO: [mko-real-vector-space](/en/mko/mko-real-vector-space/)
- Family: [qf-str22-vectorspace-scalar-multiplication](/en/explore/?family=qf-str22-vectorspace-scalar-multiplication)
- Batch: [batch-20261013-advance-20261022-r04-real-vector-space-foundations](/en/explore/?batch=batch-20261013-advance-20261022-r04-real-vector-space-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0042/) / [Markdown](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0042/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261022-r04-real-vector-space-0042.json)

## Question 29693: A Declared Real-Scalar Instance on Integer Coordinates

- ID: `q-20261013-advance-20261022-r04-real-vector-space-0043`; number: 29693
- Processing: second_context_reviewed
- MKO: [mko-real-vector-space](/en/mko/mko-real-vector-space/)
- Family: [qf-str22-vectorspace-scalar-multiplication](/en/explore/?family=qf-str22-vectorspace-scalar-multiplication)
- Batch: [batch-20261013-advance-20261022-r04-real-vector-space-foundations](/en/explore/?batch=batch-20261013-advance-20261022-r04-real-vector-space-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0043/) / [Markdown](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0043/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261022-r04-real-vector-space-0043.json)

## Question 29694: A Declared Real-Scalar Instance on Integer Coordinates

- ID: `q-20261013-advance-20261022-r04-real-vector-space-0044`; number: 29694
- Processing: second_context_reviewed
- MKO: [mko-real-vector-space](/en/mko/mko-real-vector-space/)
- Family: [qf-str22-vectorspace-scalar-multiplication](/en/explore/?family=qf-str22-vectorspace-scalar-multiplication)
- Batch: [batch-20261013-advance-20261022-r04-real-vector-space-foundations](/en/explore/?batch=batch-20261013-advance-20261022-r04-real-vector-space-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0044/) / [Markdown](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0044/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261022-r04-real-vector-space-0044.json)

## Question 29695: A Declared Real-Scalar Instance on Integer Coordinates

- ID: `q-20261013-advance-20261022-r04-real-vector-space-0045`; number: 29695
- Processing: second_context_reviewed
- MKO: [mko-real-vector-space](/en/mko/mko-real-vector-space/)
- Family: [qf-str22-vectorspace-scalar-multiplication](/en/explore/?family=qf-str22-vectorspace-scalar-multiplication)
- Batch: [batch-20261013-advance-20261022-r04-real-vector-space-foundations](/en/explore/?batch=batch-20261013-advance-20261022-r04-real-vector-space-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0045/) / [Markdown](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0045/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261022-r04-real-vector-space-0045.json)

## Question 29696: A Declared Real-Scalar Instance on Integer Coordinates

- ID: `q-20261013-advance-20261022-r04-real-vector-space-0046`; number: 29696
- Processing: second_context_reviewed
- MKO: [mko-real-vector-space](/en/mko/mko-real-vector-space/)
- Family: [qf-str22-vectorspace-scalar-multiplication](/en/explore/?family=qf-str22-vectorspace-scalar-multiplication)
- Batch: [batch-20261013-advance-20261022-r04-real-vector-space-foundations](/en/explore/?batch=batch-20261013-advance-20261022-r04-real-vector-space-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0046/) / [Markdown](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0046/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261022-r04-real-vector-space-0046.json)

## Question 29697: A Declared Real-Scalar Instance on Integer Coordinates

- ID: `q-20261013-advance-20261022-r04-real-vector-space-0047`; number: 29697
- Processing: second_context_reviewed
- MKO: [mko-real-vector-space](/en/mko/mko-real-vector-space/)
- Family: [qf-str22-vectorspace-scalar-multiplication](/en/explore/?family=qf-str22-vectorspace-scalar-multiplication)
- Batch: [batch-20261013-advance-20261022-r04-real-vector-space-foundations](/en/explore/?batch=batch-20261013-advance-20261022-r04-real-vector-space-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0047/) / [Markdown](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0047/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261022-r04-real-vector-space-0047.json)

## Question 29698: A Declared Real-Scalar Instance on Integer Coordinates

- ID: `q-20261013-advance-20261022-r04-real-vector-space-0048`; number: 29698
- Processing: second_context_reviewed
- MKO: [mko-real-vector-space](/en/mko/mko-real-vector-space/)
- Family: [qf-str22-vectorspace-scalar-multiplication](/en/explore/?family=qf-str22-vectorspace-scalar-multiplication)
- Batch: [batch-20261013-advance-20261022-r04-real-vector-space-foundations](/en/explore/?batch=batch-20261013-advance-20261022-r04-real-vector-space-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0048/) / [Markdown](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0048/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261022-r04-real-vector-space-0048.json)

## Question 29699: A Declared Real-Scalar Instance on Integer Coordinates

- ID: `q-20261013-advance-20261022-r04-real-vector-space-0049`; number: 29699
- Processing: second_context_reviewed
- MKO: [mko-real-vector-space](/en/mko/mko-real-vector-space/)
- Family: [qf-str22-vectorspace-scalar-multiplication](/en/explore/?family=qf-str22-vectorspace-scalar-multiplication)
- Batch: [batch-20261013-advance-20261022-r04-real-vector-space-foundations](/en/explore/?batch=batch-20261013-advance-20261022-r04-real-vector-space-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0049/) / [Markdown](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0049/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261022-r04-real-vector-space-0049.json)

## Question 29700: A Declared Real-Scalar Instance on Integer Coordinates

- ID: `q-20261013-advance-20261022-r04-real-vector-space-0050`; number: 29700
- Processing: second_context_reviewed
- MKO: [mko-real-vector-space](/en/mko/mko-real-vector-space/)
- Family: [qf-str22-vectorspace-scalar-multiplication](/en/explore/?family=qf-str22-vectorspace-scalar-multiplication)
- Batch: [batch-20261013-advance-20261022-r04-real-vector-space-foundations](/en/explore/?batch=batch-20261013-advance-20261022-r04-real-vector-space-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0050/) / [Markdown](/en/questions/q-20261013-advance-20261022-r04-real-vector-space-0050/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261022-r04-real-vector-space-0050.json)