# 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 24451: A Zero Gradient Certifies Stationarity, Not an Automatic Extremum

- ID: `q-20261015-advance-20261113-r06-gradient-vector-0051`; number: 24451
- Processing: second_context_reviewed
- MKO: [mko-gradient-vector](/en/mko/mko-gradient-vector/)
- Family: [qf-mod44-gradient-stationary-audit](/en/explore/?family=qf-mod44-gradient-stationary-audit)
- Batch: [batch-20261015-advance-20261113-r06-gradient-vector-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r06-gradient-vector-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0051/) / [Markdown](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0051/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r06-gradient-vector-0051.json)

## Question 24452: A Zero Gradient Certifies Stationarity, Not an Automatic Extremum

- ID: `q-20261015-advance-20261113-r06-gradient-vector-0052`; number: 24452
- Processing: second_context_reviewed
- MKO: [mko-gradient-vector](/en/mko/mko-gradient-vector/)
- Family: [qf-mod44-gradient-stationary-audit](/en/explore/?family=qf-mod44-gradient-stationary-audit)
- Batch: [batch-20261015-advance-20261113-r06-gradient-vector-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r06-gradient-vector-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0052/) / [Markdown](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0052/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r06-gradient-vector-0052.json)

## Question 24453: A Zero Gradient Certifies Stationarity, Not an Automatic Extremum

- ID: `q-20261015-advance-20261113-r06-gradient-vector-0053`; number: 24453
- Processing: second_context_reviewed
- MKO: [mko-gradient-vector](/en/mko/mko-gradient-vector/)
- Family: [qf-mod44-gradient-stationary-audit](/en/explore/?family=qf-mod44-gradient-stationary-audit)
- Batch: [batch-20261015-advance-20261113-r06-gradient-vector-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r06-gradient-vector-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0053/) / [Markdown](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0053/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r06-gradient-vector-0053.json)

## Question 24454: A Zero Gradient Certifies Stationarity, Not an Automatic Extremum

- ID: `q-20261015-advance-20261113-r06-gradient-vector-0054`; number: 24454
- Processing: second_context_reviewed
- MKO: [mko-gradient-vector](/en/mko/mko-gradient-vector/)
- Family: [qf-mod44-gradient-stationary-audit](/en/explore/?family=qf-mod44-gradient-stationary-audit)
- Batch: [batch-20261015-advance-20261113-r06-gradient-vector-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r06-gradient-vector-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0054/) / [Markdown](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0054/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r06-gradient-vector-0054.json)

## Question 24455: A Zero Gradient Certifies Stationarity, Not an Automatic Extremum

- ID: `q-20261015-advance-20261113-r06-gradient-vector-0055`; number: 24455
- Processing: second_context_reviewed
- MKO: [mko-gradient-vector](/en/mko/mko-gradient-vector/)
- Family: [qf-mod44-gradient-stationary-audit](/en/explore/?family=qf-mod44-gradient-stationary-audit)
- Batch: [batch-20261015-advance-20261113-r06-gradient-vector-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r06-gradient-vector-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0055/) / [Markdown](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0055/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r06-gradient-vector-0055.json)

## Question 24456: A Zero Gradient Certifies Stationarity, Not an Automatic Extremum

- ID: `q-20261015-advance-20261113-r06-gradient-vector-0056`; number: 24456
- Processing: second_context_reviewed
- MKO: [mko-gradient-vector](/en/mko/mko-gradient-vector/)
- Family: [qf-mod44-gradient-stationary-audit](/en/explore/?family=qf-mod44-gradient-stationary-audit)
- Batch: [batch-20261015-advance-20261113-r06-gradient-vector-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r06-gradient-vector-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0056/) / [Markdown](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0056/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r06-gradient-vector-0056.json)

## Question 24457: A Zero Gradient Certifies Stationarity, Not an Automatic Extremum

- ID: `q-20261015-advance-20261113-r06-gradient-vector-0057`; number: 24457
- Processing: second_context_reviewed
- MKO: [mko-gradient-vector](/en/mko/mko-gradient-vector/)
- Family: [qf-mod44-gradient-stationary-audit](/en/explore/?family=qf-mod44-gradient-stationary-audit)
- Batch: [batch-20261015-advance-20261113-r06-gradient-vector-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r06-gradient-vector-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0057/) / [Markdown](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0057/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r06-gradient-vector-0057.json)

## Question 24458: A Zero Gradient Certifies Stationarity, Not an Automatic Extremum

- ID: `q-20261015-advance-20261113-r06-gradient-vector-0058`; number: 24458
- Processing: second_context_reviewed
- MKO: [mko-gradient-vector](/en/mko/mko-gradient-vector/)
- Family: [qf-mod44-gradient-stationary-audit](/en/explore/?family=qf-mod44-gradient-stationary-audit)
- Batch: [batch-20261015-advance-20261113-r06-gradient-vector-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r06-gradient-vector-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0058/) / [Markdown](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0058/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r06-gradient-vector-0058.json)

## Question 24459: A Zero Gradient Certifies Stationarity, Not an Automatic Extremum

- ID: `q-20261015-advance-20261113-r06-gradient-vector-0059`; number: 24459
- Processing: second_context_reviewed
- MKO: [mko-gradient-vector](/en/mko/mko-gradient-vector/)
- Family: [qf-mod44-gradient-stationary-audit](/en/explore/?family=qf-mod44-gradient-stationary-audit)
- Batch: [batch-20261015-advance-20261113-r06-gradient-vector-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r06-gradient-vector-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0059/) / [Markdown](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0059/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r06-gradient-vector-0059.json)

## Question 24460: A Zero Gradient Certifies Stationarity, Not an Automatic Extremum

- ID: `q-20261015-advance-20261113-r06-gradient-vector-0060`; number: 24460
- Processing: second_context_reviewed
- MKO: [mko-gradient-vector](/en/mko/mko-gradient-vector/)
- Family: [qf-mod44-gradient-stationary-audit](/en/explore/?family=qf-mod44-gradient-stationary-audit)
- Batch: [batch-20261015-advance-20261113-r06-gradient-vector-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r06-gradient-vector-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0060/) / [Markdown](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0060/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r06-gradient-vector-0060.json)

## Question 24461: A Zero Gradient Certifies Stationarity, Not an Automatic Extremum

- ID: `q-20261015-advance-20261113-r06-gradient-vector-0061`; number: 24461
- Processing: second_context_reviewed
- MKO: [mko-gradient-vector](/en/mko/mko-gradient-vector/)
- Family: [qf-mod44-gradient-stationary-audit](/en/explore/?family=qf-mod44-gradient-stationary-audit)
- Batch: [batch-20261015-advance-20261113-r06-gradient-vector-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r06-gradient-vector-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0061/) / [Markdown](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0061/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r06-gradient-vector-0061.json)

## Question 24462: A Zero Gradient Certifies Stationarity, Not an Automatic Extremum

- ID: `q-20261015-advance-20261113-r06-gradient-vector-0062`; number: 24462
- Processing: second_context_reviewed
- MKO: [mko-gradient-vector](/en/mko/mko-gradient-vector/)
- Family: [qf-mod44-gradient-stationary-audit](/en/explore/?family=qf-mod44-gradient-stationary-audit)
- Batch: [batch-20261015-advance-20261113-r06-gradient-vector-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r06-gradient-vector-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0062/) / [Markdown](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0062/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r06-gradient-vector-0062.json)

## Question 24463: A Zero Gradient Certifies Stationarity, Not an Automatic Extremum

- ID: `q-20261015-advance-20261113-r06-gradient-vector-0063`; number: 24463
- Processing: second_context_reviewed
- MKO: [mko-gradient-vector](/en/mko/mko-gradient-vector/)
- Family: [qf-mod44-gradient-stationary-audit](/en/explore/?family=qf-mod44-gradient-stationary-audit)
- Batch: [batch-20261015-advance-20261113-r06-gradient-vector-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r06-gradient-vector-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0063/) / [Markdown](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0063/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r06-gradient-vector-0063.json)

## Question 24464: A Zero Gradient Certifies Stationarity, Not an Automatic Extremum

- ID: `q-20261015-advance-20261113-r06-gradient-vector-0064`; number: 24464
- Processing: second_context_reviewed
- MKO: [mko-gradient-vector](/en/mko/mko-gradient-vector/)
- Family: [qf-mod44-gradient-stationary-audit](/en/explore/?family=qf-mod44-gradient-stationary-audit)
- Batch: [batch-20261015-advance-20261113-r06-gradient-vector-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r06-gradient-vector-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0064/) / [Markdown](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0064/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r06-gradient-vector-0064.json)

## Question 24465: A Zero Gradient Certifies Stationarity, Not an Automatic Extremum

- ID: `q-20261015-advance-20261113-r06-gradient-vector-0065`; number: 24465
- Processing: second_context_reviewed
- MKO: [mko-gradient-vector](/en/mko/mko-gradient-vector/)
- Family: [qf-mod44-gradient-stationary-audit](/en/explore/?family=qf-mod44-gradient-stationary-audit)
- Batch: [batch-20261015-advance-20261113-r06-gradient-vector-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r06-gradient-vector-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0065/) / [Markdown](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0065/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r06-gradient-vector-0065.json)

## Question 24466: A Zero Gradient Certifies Stationarity, Not an Automatic Extremum

- ID: `q-20261015-advance-20261113-r06-gradient-vector-0066`; number: 24466
- Processing: second_context_reviewed
- MKO: [mko-gradient-vector](/en/mko/mko-gradient-vector/)
- Family: [qf-mod44-gradient-stationary-audit](/en/explore/?family=qf-mod44-gradient-stationary-audit)
- Batch: [batch-20261015-advance-20261113-r06-gradient-vector-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r06-gradient-vector-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0066/) / [Markdown](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0066/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r06-gradient-vector-0066.json)

## Question 24467: A Zero Gradient Certifies Stationarity, Not an Automatic Extremum

- ID: `q-20261015-advance-20261113-r06-gradient-vector-0067`; number: 24467
- Processing: second_context_reviewed
- MKO: [mko-gradient-vector](/en/mko/mko-gradient-vector/)
- Family: [qf-mod44-gradient-stationary-audit](/en/explore/?family=qf-mod44-gradient-stationary-audit)
- Batch: [batch-20261015-advance-20261113-r06-gradient-vector-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r06-gradient-vector-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0067/) / [Markdown](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0067/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r06-gradient-vector-0067.json)

## Question 24468: A Zero Gradient Certifies Stationarity, Not an Automatic Extremum

- ID: `q-20261015-advance-20261113-r06-gradient-vector-0068`; number: 24468
- Processing: second_context_reviewed
- MKO: [mko-gradient-vector](/en/mko/mko-gradient-vector/)
- Family: [qf-mod44-gradient-stationary-audit](/en/explore/?family=qf-mod44-gradient-stationary-audit)
- Batch: [batch-20261015-advance-20261113-r06-gradient-vector-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r06-gradient-vector-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0068/) / [Markdown](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0068/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r06-gradient-vector-0068.json)

## Question 24469: A Zero Gradient Certifies Stationarity, Not an Automatic Extremum

- ID: `q-20261015-advance-20261113-r06-gradient-vector-0069`; number: 24469
- Processing: second_context_reviewed
- MKO: [mko-gradient-vector](/en/mko/mko-gradient-vector/)
- Family: [qf-mod44-gradient-stationary-audit](/en/explore/?family=qf-mod44-gradient-stationary-audit)
- Batch: [batch-20261015-advance-20261113-r06-gradient-vector-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r06-gradient-vector-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0069/) / [Markdown](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0069/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r06-gradient-vector-0069.json)

## Question 24470: A Zero Gradient Certifies Stationarity, Not an Automatic Extremum

- ID: `q-20261015-advance-20261113-r06-gradient-vector-0070`; number: 24470
- Processing: second_context_reviewed
- MKO: [mko-gradient-vector](/en/mko/mko-gradient-vector/)
- Family: [qf-mod44-gradient-stationary-audit](/en/explore/?family=qf-mod44-gradient-stationary-audit)
- Batch: [batch-20261015-advance-20261113-r06-gradient-vector-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r06-gradient-vector-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0070/) / [Markdown](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0070/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r06-gradient-vector-0070.json)

## Question 24471: A Zero Gradient Certifies Stationarity, Not an Automatic Extremum

- ID: `q-20261015-advance-20261113-r06-gradient-vector-0071`; number: 24471
- Processing: second_context_reviewed
- MKO: [mko-gradient-vector](/en/mko/mko-gradient-vector/)
- Family: [qf-mod44-gradient-stationary-audit](/en/explore/?family=qf-mod44-gradient-stationary-audit)
- Batch: [batch-20261015-advance-20261113-r06-gradient-vector-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r06-gradient-vector-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0071/) / [Markdown](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0071/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r06-gradient-vector-0071.json)

## Question 24472: A Zero Gradient Certifies Stationarity, Not an Automatic Extremum

- ID: `q-20261015-advance-20261113-r06-gradient-vector-0072`; number: 24472
- Processing: second_context_reviewed
- MKO: [mko-gradient-vector](/en/mko/mko-gradient-vector/)
- Family: [qf-mod44-gradient-stationary-audit](/en/explore/?family=qf-mod44-gradient-stationary-audit)
- Batch: [batch-20261015-advance-20261113-r06-gradient-vector-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r06-gradient-vector-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0072/) / [Markdown](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0072/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r06-gradient-vector-0072.json)

## Question 24473: A Zero Gradient Certifies Stationarity, Not an Automatic Extremum

- ID: `q-20261015-advance-20261113-r06-gradient-vector-0073`; number: 24473
- Processing: second_context_reviewed
- MKO: [mko-gradient-vector](/en/mko/mko-gradient-vector/)
- Family: [qf-mod44-gradient-stationary-audit](/en/explore/?family=qf-mod44-gradient-stationary-audit)
- Batch: [batch-20261015-advance-20261113-r06-gradient-vector-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r06-gradient-vector-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0073/) / [Markdown](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0073/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r06-gradient-vector-0073.json)

## Question 24474: A Zero Gradient Certifies Stationarity, Not an Automatic Extremum

- ID: `q-20261015-advance-20261113-r06-gradient-vector-0074`; number: 24474
- Processing: second_context_reviewed
- MKO: [mko-gradient-vector](/en/mko/mko-gradient-vector/)
- Family: [qf-mod44-gradient-stationary-audit](/en/explore/?family=qf-mod44-gradient-stationary-audit)
- Batch: [batch-20261015-advance-20261113-r06-gradient-vector-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r06-gradient-vector-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0074/) / [Markdown](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0074/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r06-gradient-vector-0074.json)

## Question 24475: A Zero Gradient Certifies Stationarity, Not an Automatic Extremum

- ID: `q-20261015-advance-20261113-r06-gradient-vector-0075`; number: 24475
- Processing: second_context_reviewed
- MKO: [mko-gradient-vector](/en/mko/mko-gradient-vector/)
- Family: [qf-mod44-gradient-stationary-audit](/en/explore/?family=qf-mod44-gradient-stationary-audit)
- Batch: [batch-20261015-advance-20261113-r06-gradient-vector-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r06-gradient-vector-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0075/) / [Markdown](/en/questions/q-20261015-advance-20261113-r06-gradient-vector-0075/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r06-gradient-vector-0075.json)