# 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 27976: Squared Distance with One Regular Linear Constraint Has an Exact Solution

- ID: `q-20261015-pulse-20261119-r04-0051`; number: 27976
- Processing: second_context_reviewed
- MKO: [mko-lagrange-multiplier-condition](/en/mko/mko-lagrange-multiplier-condition/)
- Family: [qf-mod50-lagrange-single-linear-constraint](/en/explore/?family=qf-mod50-lagrange-single-linear-constraint)
- Batch: [batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations)
- [Derivation](/en/questions/q-20261015-pulse-20261119-r04-0051/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r04-0051/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0051.json)

## Question 27977: Squared Distance with One Regular Linear Constraint Has an Exact Solution

- ID: `q-20261015-pulse-20261119-r04-0052`; number: 27977
- Processing: second_context_reviewed
- MKO: [mko-lagrange-multiplier-condition](/en/mko/mko-lagrange-multiplier-condition/)
- Family: [qf-mod50-lagrange-single-linear-constraint](/en/explore/?family=qf-mod50-lagrange-single-linear-constraint)
- Batch: [batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations)
- [Derivation](/en/questions/q-20261015-pulse-20261119-r04-0052/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r04-0052/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0052.json)

## Question 27978: Squared Distance with One Regular Linear Constraint Has an Exact Solution

- ID: `q-20261015-pulse-20261119-r04-0053`; number: 27978
- Processing: second_context_reviewed
- MKO: [mko-lagrange-multiplier-condition](/en/mko/mko-lagrange-multiplier-condition/)
- Family: [qf-mod50-lagrange-single-linear-constraint](/en/explore/?family=qf-mod50-lagrange-single-linear-constraint)
- Batch: [batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations)
- [Derivation](/en/questions/q-20261015-pulse-20261119-r04-0053/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r04-0053/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0053.json)

## Question 27979: Squared Distance with One Regular Linear Constraint Has an Exact Solution

- ID: `q-20261015-pulse-20261119-r04-0054`; number: 27979
- Processing: second_context_reviewed
- MKO: [mko-lagrange-multiplier-condition](/en/mko/mko-lagrange-multiplier-condition/)
- Family: [qf-mod50-lagrange-single-linear-constraint](/en/explore/?family=qf-mod50-lagrange-single-linear-constraint)
- Batch: [batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations)
- [Derivation](/en/questions/q-20261015-pulse-20261119-r04-0054/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r04-0054/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0054.json)

## Question 27980: Squared Distance with One Regular Linear Constraint Has an Exact Solution

- ID: `q-20261015-pulse-20261119-r04-0055`; number: 27980
- Processing: second_context_reviewed
- MKO: [mko-lagrange-multiplier-condition](/en/mko/mko-lagrange-multiplier-condition/)
- Family: [qf-mod50-lagrange-single-linear-constraint](/en/explore/?family=qf-mod50-lagrange-single-linear-constraint)
- Batch: [batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations)
- [Derivation](/en/questions/q-20261015-pulse-20261119-r04-0055/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r04-0055/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0055.json)

## Question 27981: Squared Distance with One Regular Linear Constraint Has an Exact Solution

- ID: `q-20261015-pulse-20261119-r04-0056`; number: 27981
- Processing: second_context_reviewed
- MKO: [mko-lagrange-multiplier-condition](/en/mko/mko-lagrange-multiplier-condition/)
- Family: [qf-mod50-lagrange-single-linear-constraint](/en/explore/?family=qf-mod50-lagrange-single-linear-constraint)
- Batch: [batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations)
- [Derivation](/en/questions/q-20261015-pulse-20261119-r04-0056/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r04-0056/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0056.json)

## Question 27982: Squared Distance with One Regular Linear Constraint Has an Exact Solution

- ID: `q-20261015-pulse-20261119-r04-0057`; number: 27982
- Processing: second_context_reviewed
- MKO: [mko-lagrange-multiplier-condition](/en/mko/mko-lagrange-multiplier-condition/)
- Family: [qf-mod50-lagrange-single-linear-constraint](/en/explore/?family=qf-mod50-lagrange-single-linear-constraint)
- Batch: [batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations)
- [Derivation](/en/questions/q-20261015-pulse-20261119-r04-0057/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r04-0057/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0057.json)

## Question 27983: Squared Distance with One Regular Linear Constraint Has an Exact Solution

- ID: `q-20261015-pulse-20261119-r04-0058`; number: 27983
- Processing: second_context_reviewed
- MKO: [mko-lagrange-multiplier-condition](/en/mko/mko-lagrange-multiplier-condition/)
- Family: [qf-mod50-lagrange-single-linear-constraint](/en/explore/?family=qf-mod50-lagrange-single-linear-constraint)
- Batch: [batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations)
- [Derivation](/en/questions/q-20261015-pulse-20261119-r04-0058/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r04-0058/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0058.json)

## Question 27984: Squared Distance with One Regular Linear Constraint Has an Exact Solution

- ID: `q-20261015-pulse-20261119-r04-0059`; number: 27984
- Processing: second_context_reviewed
- MKO: [mko-lagrange-multiplier-condition](/en/mko/mko-lagrange-multiplier-condition/)
- Family: [qf-mod50-lagrange-single-linear-constraint](/en/explore/?family=qf-mod50-lagrange-single-linear-constraint)
- Batch: [batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations)
- [Derivation](/en/questions/q-20261015-pulse-20261119-r04-0059/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r04-0059/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0059.json)

## Question 27985: Squared Distance with One Regular Linear Constraint Has an Exact Solution

- ID: `q-20261015-pulse-20261119-r04-0060`; number: 27985
- Processing: second_context_reviewed
- MKO: [mko-lagrange-multiplier-condition](/en/mko/mko-lagrange-multiplier-condition/)
- Family: [qf-mod50-lagrange-single-linear-constraint](/en/explore/?family=qf-mod50-lagrange-single-linear-constraint)
- Batch: [batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations)
- [Derivation](/en/questions/q-20261015-pulse-20261119-r04-0060/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r04-0060/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0060.json)

## Question 27986: Squared Distance with One Regular Linear Constraint Has an Exact Solution

- ID: `q-20261015-pulse-20261119-r04-0061`; number: 27986
- Processing: second_context_reviewed
- MKO: [mko-lagrange-multiplier-condition](/en/mko/mko-lagrange-multiplier-condition/)
- Family: [qf-mod50-lagrange-single-linear-constraint](/en/explore/?family=qf-mod50-lagrange-single-linear-constraint)
- Batch: [batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations)
- [Derivation](/en/questions/q-20261015-pulse-20261119-r04-0061/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r04-0061/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0061.json)

## Question 27987: Squared Distance with One Regular Linear Constraint Has an Exact Solution

- ID: `q-20261015-pulse-20261119-r04-0062`; number: 27987
- Processing: second_context_reviewed
- MKO: [mko-lagrange-multiplier-condition](/en/mko/mko-lagrange-multiplier-condition/)
- Family: [qf-mod50-lagrange-single-linear-constraint](/en/explore/?family=qf-mod50-lagrange-single-linear-constraint)
- Batch: [batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations)
- [Derivation](/en/questions/q-20261015-pulse-20261119-r04-0062/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r04-0062/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0062.json)

## Question 27988: Squared Distance with One Regular Linear Constraint Has an Exact Solution

- ID: `q-20261015-pulse-20261119-r04-0063`; number: 27988
- Processing: second_context_reviewed
- MKO: [mko-lagrange-multiplier-condition](/en/mko/mko-lagrange-multiplier-condition/)
- Family: [qf-mod50-lagrange-single-linear-constraint](/en/explore/?family=qf-mod50-lagrange-single-linear-constraint)
- Batch: [batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations)
- [Derivation](/en/questions/q-20261015-pulse-20261119-r04-0063/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r04-0063/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0063.json)

## Question 27989: Squared Distance with One Regular Linear Constraint Has an Exact Solution

- ID: `q-20261015-pulse-20261119-r04-0064`; number: 27989
- Processing: second_context_reviewed
- MKO: [mko-lagrange-multiplier-condition](/en/mko/mko-lagrange-multiplier-condition/)
- Family: [qf-mod50-lagrange-single-linear-constraint](/en/explore/?family=qf-mod50-lagrange-single-linear-constraint)
- Batch: [batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations)
- [Derivation](/en/questions/q-20261015-pulse-20261119-r04-0064/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r04-0064/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0064.json)

## Question 27990: Squared Distance with One Regular Linear Constraint Has an Exact Solution

- ID: `q-20261015-pulse-20261119-r04-0065`; number: 27990
- Processing: second_context_reviewed
- MKO: [mko-lagrange-multiplier-condition](/en/mko/mko-lagrange-multiplier-condition/)
- Family: [qf-mod50-lagrange-single-linear-constraint](/en/explore/?family=qf-mod50-lagrange-single-linear-constraint)
- Batch: [batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations)
- [Derivation](/en/questions/q-20261015-pulse-20261119-r04-0065/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r04-0065/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0065.json)

## Question 27991: Squared Distance with One Regular Linear Constraint Has an Exact Solution

- ID: `q-20261015-pulse-20261119-r04-0066`; number: 27991
- Processing: second_context_reviewed
- MKO: [mko-lagrange-multiplier-condition](/en/mko/mko-lagrange-multiplier-condition/)
- Family: [qf-mod50-lagrange-single-linear-constraint](/en/explore/?family=qf-mod50-lagrange-single-linear-constraint)
- Batch: [batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations)
- [Derivation](/en/questions/q-20261015-pulse-20261119-r04-0066/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r04-0066/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0066.json)

## Question 27992: Squared Distance with One Regular Linear Constraint Has an Exact Solution

- ID: `q-20261015-pulse-20261119-r04-0067`; number: 27992
- Processing: second_context_reviewed
- MKO: [mko-lagrange-multiplier-condition](/en/mko/mko-lagrange-multiplier-condition/)
- Family: [qf-mod50-lagrange-single-linear-constraint](/en/explore/?family=qf-mod50-lagrange-single-linear-constraint)
- Batch: [batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations)
- [Derivation](/en/questions/q-20261015-pulse-20261119-r04-0067/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r04-0067/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0067.json)

## Question 27993: Squared Distance with One Regular Linear Constraint Has an Exact Solution

- ID: `q-20261015-pulse-20261119-r04-0068`; number: 27993
- Processing: second_context_reviewed
- MKO: [mko-lagrange-multiplier-condition](/en/mko/mko-lagrange-multiplier-condition/)
- Family: [qf-mod50-lagrange-single-linear-constraint](/en/explore/?family=qf-mod50-lagrange-single-linear-constraint)
- Batch: [batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations)
- [Derivation](/en/questions/q-20261015-pulse-20261119-r04-0068/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r04-0068/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0068.json)

## Question 27994: Squared Distance with One Regular Linear Constraint Has an Exact Solution

- ID: `q-20261015-pulse-20261119-r04-0069`; number: 27994
- Processing: second_context_reviewed
- MKO: [mko-lagrange-multiplier-condition](/en/mko/mko-lagrange-multiplier-condition/)
- Family: [qf-mod50-lagrange-single-linear-constraint](/en/explore/?family=qf-mod50-lagrange-single-linear-constraint)
- Batch: [batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations)
- [Derivation](/en/questions/q-20261015-pulse-20261119-r04-0069/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r04-0069/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0069.json)

## Question 27995: Squared Distance with One Regular Linear Constraint Has an Exact Solution

- ID: `q-20261015-pulse-20261119-r04-0070`; number: 27995
- Processing: second_context_reviewed
- MKO: [mko-lagrange-multiplier-condition](/en/mko/mko-lagrange-multiplier-condition/)
- Family: [qf-mod50-lagrange-single-linear-constraint](/en/explore/?family=qf-mod50-lagrange-single-linear-constraint)
- Batch: [batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations)
- [Derivation](/en/questions/q-20261015-pulse-20261119-r04-0070/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r04-0070/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0070.json)

## Question 27996: Squared Distance with One Regular Linear Constraint Has an Exact Solution

- ID: `q-20261015-pulse-20261119-r04-0071`; number: 27996
- Processing: second_context_reviewed
- MKO: [mko-lagrange-multiplier-condition](/en/mko/mko-lagrange-multiplier-condition/)
- Family: [qf-mod50-lagrange-single-linear-constraint](/en/explore/?family=qf-mod50-lagrange-single-linear-constraint)
- Batch: [batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations)
- [Derivation](/en/questions/q-20261015-pulse-20261119-r04-0071/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r04-0071/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0071.json)

## Question 27997: Squared Distance with One Regular Linear Constraint Has an Exact Solution

- ID: `q-20261015-pulse-20261119-r04-0072`; number: 27997
- Processing: second_context_reviewed
- MKO: [mko-lagrange-multiplier-condition](/en/mko/mko-lagrange-multiplier-condition/)
- Family: [qf-mod50-lagrange-single-linear-constraint](/en/explore/?family=qf-mod50-lagrange-single-linear-constraint)
- Batch: [batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations)
- [Derivation](/en/questions/q-20261015-pulse-20261119-r04-0072/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r04-0072/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0072.json)

## Question 27998: Squared Distance with One Regular Linear Constraint Has an Exact Solution

- ID: `q-20261015-pulse-20261119-r04-0073`; number: 27998
- Processing: second_context_reviewed
- MKO: [mko-lagrange-multiplier-condition](/en/mko/mko-lagrange-multiplier-condition/)
- Family: [qf-mod50-lagrange-single-linear-constraint](/en/explore/?family=qf-mod50-lagrange-single-linear-constraint)
- Batch: [batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations)
- [Derivation](/en/questions/q-20261015-pulse-20261119-r04-0073/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r04-0073/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0073.json)

## Question 27999: Squared Distance with One Regular Linear Constraint Has an Exact Solution

- ID: `q-20261015-pulse-20261119-r04-0074`; number: 27999
- Processing: second_context_reviewed
- MKO: [mko-lagrange-multiplier-condition](/en/mko/mko-lagrange-multiplier-condition/)
- Family: [qf-mod50-lagrange-single-linear-constraint](/en/explore/?family=qf-mod50-lagrange-single-linear-constraint)
- Batch: [batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations)
- [Derivation](/en/questions/q-20261015-pulse-20261119-r04-0074/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r04-0074/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0074.json)

## Question 28000: Squared Distance with One Regular Linear Constraint Has an Exact Solution

- ID: `q-20261015-pulse-20261119-r04-0075`; number: 28000
- Processing: second_context_reviewed
- MKO: [mko-lagrange-multiplier-condition](/en/mko/mko-lagrange-multiplier-condition/)
- Family: [qf-mod50-lagrange-single-linear-constraint](/en/explore/?family=qf-mod50-lagrange-single-linear-constraint)
- Batch: [batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations](/en/explore/?batch=batch-20261015-advance-20261119-r04-lagrange-multiplier-condition-foundations)
- [Derivation](/en/questions/q-20261015-pulse-20261119-r04-0075/) / [Markdown](/en/questions/q-20261015-pulse-20261119-r04-0075/index.md) / [JSON](/data/question-derivations/questions/q-20261015-pulse-20261119-r04-0075.json)

