# 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.

100 results; page 4/4.

## Question 30501: Radius-Parameter Scaling and Positivity

- ID: `q-20261010-advance-20261014-r07-circle-0051`; number: 30501
- Processing: second_context_reviewed
- MKO: [mko-circle](/en/mko/mko-circle/)
- Family: [qf-density14-circle-radius-scale-witness](/en/explore/?family=qf-density14-circle-radius-scale-witness)
- Batch: [batch-20261010-advance-20261014-r07-circle-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r07-circle-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r07-circle-0051/) / [Markdown](/en/questions/q-20261010-advance-20261014-r07-circle-0051/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r07-circle-0051.json)

## Question 30502: Radius-Parameter Scaling and Positivity

- ID: `q-20261010-advance-20261014-r07-circle-0052`; number: 30502
- Processing: second_context_reviewed
- MKO: [mko-circle](/en/mko/mko-circle/)
- Family: [qf-density14-circle-radius-scale-witness](/en/explore/?family=qf-density14-circle-radius-scale-witness)
- Batch: [batch-20261010-advance-20261014-r07-circle-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r07-circle-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r07-circle-0052/) / [Markdown](/en/questions/q-20261010-advance-20261014-r07-circle-0052/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r07-circle-0052.json)

## Question 30503: Radius-Parameter Scaling and Positivity

- ID: `q-20261010-advance-20261014-r07-circle-0053`; number: 30503
- Processing: second_context_reviewed
- MKO: [mko-circle](/en/mko/mko-circle/)
- Family: [qf-density14-circle-radius-scale-witness](/en/explore/?family=qf-density14-circle-radius-scale-witness)
- Batch: [batch-20261010-advance-20261014-r07-circle-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r07-circle-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r07-circle-0053/) / [Markdown](/en/questions/q-20261010-advance-20261014-r07-circle-0053/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r07-circle-0053.json)

## Question 30504: Radius-Parameter Scaling and Positivity

- ID: `q-20261010-advance-20261014-r07-circle-0054`; number: 30504
- Processing: second_context_reviewed
- MKO: [mko-circle](/en/mko/mko-circle/)
- Family: [qf-density14-circle-radius-scale-witness](/en/explore/?family=qf-density14-circle-radius-scale-witness)
- Batch: [batch-20261010-advance-20261014-r07-circle-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r07-circle-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r07-circle-0054/) / [Markdown](/en/questions/q-20261010-advance-20261014-r07-circle-0054/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r07-circle-0054.json)

## Question 30505: Radius-Parameter Scaling and Positivity

- ID: `q-20261010-advance-20261014-r07-circle-0055`; number: 30505
- Processing: second_context_reviewed
- MKO: [mko-circle](/en/mko/mko-circle/)
- Family: [qf-density14-circle-radius-scale-witness](/en/explore/?family=qf-density14-circle-radius-scale-witness)
- Batch: [batch-20261010-advance-20261014-r07-circle-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r07-circle-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r07-circle-0055/) / [Markdown](/en/questions/q-20261010-advance-20261014-r07-circle-0055/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r07-circle-0055.json)

## Question 30506: Radius-Parameter Scaling and Positivity

- ID: `q-20261010-advance-20261014-r07-circle-0056`; number: 30506
- Processing: second_context_reviewed
- MKO: [mko-circle](/en/mko/mko-circle/)
- Family: [qf-density14-circle-radius-scale-witness](/en/explore/?family=qf-density14-circle-radius-scale-witness)
- Batch: [batch-20261010-advance-20261014-r07-circle-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r07-circle-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r07-circle-0056/) / [Markdown](/en/questions/q-20261010-advance-20261014-r07-circle-0056/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r07-circle-0056.json)

## Question 30507: Radius-Parameter Scaling and Positivity

- ID: `q-20261010-advance-20261014-r07-circle-0057`; number: 30507
- Processing: second_context_reviewed
- MKO: [mko-circle](/en/mko/mko-circle/)
- Family: [qf-density14-circle-radius-scale-witness](/en/explore/?family=qf-density14-circle-radius-scale-witness)
- Batch: [batch-20261010-advance-20261014-r07-circle-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r07-circle-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r07-circle-0057/) / [Markdown](/en/questions/q-20261010-advance-20261014-r07-circle-0057/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r07-circle-0057.json)

## Question 30508: Radius-Parameter Scaling and Positivity

- ID: `q-20261010-advance-20261014-r07-circle-0058`; number: 30508
- Processing: second_context_reviewed
- MKO: [mko-circle](/en/mko/mko-circle/)
- Family: [qf-density14-circle-radius-scale-witness](/en/explore/?family=qf-density14-circle-radius-scale-witness)
- Batch: [batch-20261010-advance-20261014-r07-circle-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r07-circle-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r07-circle-0058/) / [Markdown](/en/questions/q-20261010-advance-20261014-r07-circle-0058/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r07-circle-0058.json)

## Question 30509: Radius-Parameter Scaling and Positivity

- ID: `q-20261010-advance-20261014-r07-circle-0059`; number: 30509
- Processing: second_context_reviewed
- MKO: [mko-circle](/en/mko/mko-circle/)
- Family: [qf-density14-circle-radius-scale-witness](/en/explore/?family=qf-density14-circle-radius-scale-witness)
- Batch: [batch-20261010-advance-20261014-r07-circle-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r07-circle-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r07-circle-0059/) / [Markdown](/en/questions/q-20261010-advance-20261014-r07-circle-0059/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r07-circle-0059.json)

## Question 30510: Radius-Parameter Scaling and Positivity

- ID: `q-20261010-advance-20261014-r07-circle-0060`; number: 30510
- Processing: second_context_reviewed
- MKO: [mko-circle](/en/mko/mko-circle/)
- Family: [qf-density14-circle-radius-scale-witness](/en/explore/?family=qf-density14-circle-radius-scale-witness)
- Batch: [batch-20261010-advance-20261014-r07-circle-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r07-circle-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r07-circle-0060/) / [Markdown](/en/questions/q-20261010-advance-20261014-r07-circle-0060/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r07-circle-0060.json)

## Question 30511: Radius-Parameter Scaling and Positivity

- ID: `q-20261010-advance-20261014-r07-circle-0061`; number: 30511
- Processing: second_context_reviewed
- MKO: [mko-circle](/en/mko/mko-circle/)
- Family: [qf-density14-circle-radius-scale-witness](/en/explore/?family=qf-density14-circle-radius-scale-witness)
- Batch: [batch-20261010-advance-20261014-r07-circle-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r07-circle-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r07-circle-0061/) / [Markdown](/en/questions/q-20261010-advance-20261014-r07-circle-0061/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r07-circle-0061.json)

## Question 30512: Radius-Parameter Scaling and Positivity

- ID: `q-20261010-advance-20261014-r07-circle-0062`; number: 30512
- Processing: second_context_reviewed
- MKO: [mko-circle](/en/mko/mko-circle/)
- Family: [qf-density14-circle-radius-scale-witness](/en/explore/?family=qf-density14-circle-radius-scale-witness)
- Batch: [batch-20261010-advance-20261014-r07-circle-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r07-circle-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r07-circle-0062/) / [Markdown](/en/questions/q-20261010-advance-20261014-r07-circle-0062/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r07-circle-0062.json)

## Question 30513: Radius-Parameter Scaling and Positivity

- ID: `q-20261010-advance-20261014-r07-circle-0063`; number: 30513
- Processing: second_context_reviewed
- MKO: [mko-circle](/en/mko/mko-circle/)
- Family: [qf-density14-circle-radius-scale-witness](/en/explore/?family=qf-density14-circle-radius-scale-witness)
- Batch: [batch-20261010-advance-20261014-r07-circle-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r07-circle-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r07-circle-0063/) / [Markdown](/en/questions/q-20261010-advance-20261014-r07-circle-0063/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r07-circle-0063.json)

## Question 30514: Radius-Parameter Scaling and Positivity

- ID: `q-20261010-advance-20261014-r07-circle-0064`; number: 30514
- Processing: second_context_reviewed
- MKO: [mko-circle](/en/mko/mko-circle/)
- Family: [qf-density14-circle-radius-scale-witness](/en/explore/?family=qf-density14-circle-radius-scale-witness)
- Batch: [batch-20261010-advance-20261014-r07-circle-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r07-circle-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r07-circle-0064/) / [Markdown](/en/questions/q-20261010-advance-20261014-r07-circle-0064/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r07-circle-0064.json)

## Question 30515: Radius-Parameter Scaling and Positivity

- ID: `q-20261010-advance-20261014-r07-circle-0065`; number: 30515
- Processing: second_context_reviewed
- MKO: [mko-circle](/en/mko/mko-circle/)
- Family: [qf-density14-circle-radius-scale-witness](/en/explore/?family=qf-density14-circle-radius-scale-witness)
- Batch: [batch-20261010-advance-20261014-r07-circle-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r07-circle-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r07-circle-0065/) / [Markdown](/en/questions/q-20261010-advance-20261014-r07-circle-0065/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r07-circle-0065.json)

## Question 30516: Radius-Parameter Scaling and Positivity

- ID: `q-20261010-advance-20261014-r07-circle-0066`; number: 30516
- Processing: second_context_reviewed
- MKO: [mko-circle](/en/mko/mko-circle/)
- Family: [qf-density14-circle-radius-scale-witness](/en/explore/?family=qf-density14-circle-radius-scale-witness)
- Batch: [batch-20261010-advance-20261014-r07-circle-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r07-circle-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r07-circle-0066/) / [Markdown](/en/questions/q-20261010-advance-20261014-r07-circle-0066/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r07-circle-0066.json)

## Question 30517: Radius-Parameter Scaling and Positivity

- ID: `q-20261010-advance-20261014-r07-circle-0067`; number: 30517
- Processing: second_context_reviewed
- MKO: [mko-circle](/en/mko/mko-circle/)
- Family: [qf-density14-circle-radius-scale-witness](/en/explore/?family=qf-density14-circle-radius-scale-witness)
- Batch: [batch-20261010-advance-20261014-r07-circle-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r07-circle-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r07-circle-0067/) / [Markdown](/en/questions/q-20261010-advance-20261014-r07-circle-0067/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r07-circle-0067.json)

## Question 30518: Radius-Parameter Scaling and Positivity

- ID: `q-20261010-advance-20261014-r07-circle-0068`; number: 30518
- Processing: second_context_reviewed
- MKO: [mko-circle](/en/mko/mko-circle/)
- Family: [qf-density14-circle-radius-scale-witness](/en/explore/?family=qf-density14-circle-radius-scale-witness)
- Batch: [batch-20261010-advance-20261014-r07-circle-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r07-circle-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r07-circle-0068/) / [Markdown](/en/questions/q-20261010-advance-20261014-r07-circle-0068/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r07-circle-0068.json)

## Question 30519: Radius-Parameter Scaling and Positivity

- ID: `q-20261010-advance-20261014-r07-circle-0069`; number: 30519
- Processing: second_context_reviewed
- MKO: [mko-circle](/en/mko/mko-circle/)
- Family: [qf-density14-circle-radius-scale-witness](/en/explore/?family=qf-density14-circle-radius-scale-witness)
- Batch: [batch-20261010-advance-20261014-r07-circle-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r07-circle-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r07-circle-0069/) / [Markdown](/en/questions/q-20261010-advance-20261014-r07-circle-0069/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r07-circle-0069.json)

## Question 30520: Radius-Parameter Scaling and Positivity

- ID: `q-20261010-advance-20261014-r07-circle-0070`; number: 30520
- Processing: second_context_reviewed
- MKO: [mko-circle](/en/mko/mko-circle/)
- Family: [qf-density14-circle-radius-scale-witness](/en/explore/?family=qf-density14-circle-radius-scale-witness)
- Batch: [batch-20261010-advance-20261014-r07-circle-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r07-circle-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r07-circle-0070/) / [Markdown](/en/questions/q-20261010-advance-20261014-r07-circle-0070/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r07-circle-0070.json)

## Question 30521: Radius-Parameter Scaling and Positivity

- ID: `q-20261010-advance-20261014-r07-circle-0071`; number: 30521
- Processing: second_context_reviewed
- MKO: [mko-circle](/en/mko/mko-circle/)
- Family: [qf-density14-circle-radius-scale-witness](/en/explore/?family=qf-density14-circle-radius-scale-witness)
- Batch: [batch-20261010-advance-20261014-r07-circle-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r07-circle-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r07-circle-0071/) / [Markdown](/en/questions/q-20261010-advance-20261014-r07-circle-0071/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r07-circle-0071.json)

## Question 30522: Radius-Parameter Scaling and Positivity

- ID: `q-20261010-advance-20261014-r07-circle-0072`; number: 30522
- Processing: second_context_reviewed
- MKO: [mko-circle](/en/mko/mko-circle/)
- Family: [qf-density14-circle-radius-scale-witness](/en/explore/?family=qf-density14-circle-radius-scale-witness)
- Batch: [batch-20261010-advance-20261014-r07-circle-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r07-circle-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r07-circle-0072/) / [Markdown](/en/questions/q-20261010-advance-20261014-r07-circle-0072/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r07-circle-0072.json)

## Question 30523: Radius-Parameter Scaling and Positivity

- ID: `q-20261010-advance-20261014-r07-circle-0073`; number: 30523
- Processing: second_context_reviewed
- MKO: [mko-circle](/en/mko/mko-circle/)
- Family: [qf-density14-circle-radius-scale-witness](/en/explore/?family=qf-density14-circle-radius-scale-witness)
- Batch: [batch-20261010-advance-20261014-r07-circle-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r07-circle-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r07-circle-0073/) / [Markdown](/en/questions/q-20261010-advance-20261014-r07-circle-0073/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r07-circle-0073.json)

## Question 30524: Radius-Parameter Scaling and Positivity

- ID: `q-20261010-advance-20261014-r07-circle-0074`; number: 30524
- Processing: second_context_reviewed
- MKO: [mko-circle](/en/mko/mko-circle/)
- Family: [qf-density14-circle-radius-scale-witness](/en/explore/?family=qf-density14-circle-radius-scale-witness)
- Batch: [batch-20261010-advance-20261014-r07-circle-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r07-circle-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r07-circle-0074/) / [Markdown](/en/questions/q-20261010-advance-20261014-r07-circle-0074/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r07-circle-0074.json)

## Question 30525: Radius-Parameter Scaling and Positivity

- ID: `q-20261010-advance-20261014-r07-circle-0075`; number: 30525
- Processing: second_context_reviewed
- MKO: [mko-circle](/en/mko/mko-circle/)
- Family: [qf-density14-circle-radius-scale-witness](/en/explore/?family=qf-density14-circle-radius-scale-witness)
- Batch: [batch-20261010-advance-20261014-r07-circle-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r07-circle-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r07-circle-0075/) / [Markdown](/en/questions/q-20261010-advance-20261014-r07-circle-0075/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r07-circle-0075.json)

