# 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 33726: Constant Total Expectations Can Fail Conditional Martingale Steps

- ID: `q-20261014-advance-20261031-r07-martingale-0001`; number: 33726
- Processing: second_context_reviewed
- MKO: [mko-martingale](/en/mko/mko-martingale/)
- Family: [qf-mod31-martdeep-constant-expectation-counterexample](/en/explore/?family=qf-mod31-martdeep-constant-expectation-counterexample)
- Batch: [batch-20261014-advance-20261031-r07-martingale-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r07-martingale-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r07-martingale-0001/) / [Markdown](/en/questions/q-20261014-advance-20261031-r07-martingale-0001/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r07-martingale-0001.json)

## Question 33727: Constant Total Expectations Can Fail Conditional Martingale Steps

- ID: `q-20261014-advance-20261031-r07-martingale-0002`; number: 33727
- Processing: second_context_reviewed
- MKO: [mko-martingale](/en/mko/mko-martingale/)
- Family: [qf-mod31-martdeep-constant-expectation-counterexample](/en/explore/?family=qf-mod31-martdeep-constant-expectation-counterexample)
- Batch: [batch-20261014-advance-20261031-r07-martingale-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r07-martingale-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r07-martingale-0002/) / [Markdown](/en/questions/q-20261014-advance-20261031-r07-martingale-0002/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r07-martingale-0002.json)

## Question 33728: Constant Total Expectations Can Fail Conditional Martingale Steps

- ID: `q-20261014-advance-20261031-r07-martingale-0003`; number: 33728
- Processing: second_context_reviewed
- MKO: [mko-martingale](/en/mko/mko-martingale/)
- Family: [qf-mod31-martdeep-constant-expectation-counterexample](/en/explore/?family=qf-mod31-martdeep-constant-expectation-counterexample)
- Batch: [batch-20261014-advance-20261031-r07-martingale-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r07-martingale-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r07-martingale-0003/) / [Markdown](/en/questions/q-20261014-advance-20261031-r07-martingale-0003/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r07-martingale-0003.json)

## Question 33729: Constant Total Expectations Can Fail Conditional Martingale Steps

- ID: `q-20261014-advance-20261031-r07-martingale-0004`; number: 33729
- Processing: second_context_reviewed
- MKO: [mko-martingale](/en/mko/mko-martingale/)
- Family: [qf-mod31-martdeep-constant-expectation-counterexample](/en/explore/?family=qf-mod31-martdeep-constant-expectation-counterexample)
- Batch: [batch-20261014-advance-20261031-r07-martingale-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r07-martingale-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r07-martingale-0004/) / [Markdown](/en/questions/q-20261014-advance-20261031-r07-martingale-0004/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r07-martingale-0004.json)

## Question 33730: Constant Total Expectations Can Fail Conditional Martingale Steps

- ID: `q-20261014-advance-20261031-r07-martingale-0005`; number: 33730
- Processing: second_context_reviewed
- MKO: [mko-martingale](/en/mko/mko-martingale/)
- Family: [qf-mod31-martdeep-constant-expectation-counterexample](/en/explore/?family=qf-mod31-martdeep-constant-expectation-counterexample)
- Batch: [batch-20261014-advance-20261031-r07-martingale-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r07-martingale-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r07-martingale-0005/) / [Markdown](/en/questions/q-20261014-advance-20261031-r07-martingale-0005/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r07-martingale-0005.json)

## Question 33731: Constant Total Expectations Can Fail Conditional Martingale Steps

- ID: `q-20261014-advance-20261031-r07-martingale-0006`; number: 33731
- Processing: second_context_reviewed
- MKO: [mko-martingale](/en/mko/mko-martingale/)
- Family: [qf-mod31-martdeep-constant-expectation-counterexample](/en/explore/?family=qf-mod31-martdeep-constant-expectation-counterexample)
- Batch: [batch-20261014-advance-20261031-r07-martingale-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r07-martingale-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r07-martingale-0006/) / [Markdown](/en/questions/q-20261014-advance-20261031-r07-martingale-0006/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r07-martingale-0006.json)

## Question 33732: Constant Total Expectations Can Fail Conditional Martingale Steps

- ID: `q-20261014-advance-20261031-r07-martingale-0007`; number: 33732
- Processing: second_context_reviewed
- MKO: [mko-martingale](/en/mko/mko-martingale/)
- Family: [qf-mod31-martdeep-constant-expectation-counterexample](/en/explore/?family=qf-mod31-martdeep-constant-expectation-counterexample)
- Batch: [batch-20261014-advance-20261031-r07-martingale-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r07-martingale-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r07-martingale-0007/) / [Markdown](/en/questions/q-20261014-advance-20261031-r07-martingale-0007/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r07-martingale-0007.json)

## Question 33733: Constant Total Expectations Can Fail Conditional Martingale Steps

- ID: `q-20261014-advance-20261031-r07-martingale-0008`; number: 33733
- Processing: second_context_reviewed
- MKO: [mko-martingale](/en/mko/mko-martingale/)
- Family: [qf-mod31-martdeep-constant-expectation-counterexample](/en/explore/?family=qf-mod31-martdeep-constant-expectation-counterexample)
- Batch: [batch-20261014-advance-20261031-r07-martingale-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r07-martingale-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r07-martingale-0008/) / [Markdown](/en/questions/q-20261014-advance-20261031-r07-martingale-0008/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r07-martingale-0008.json)

## Question 33734: Constant Total Expectations Can Fail Conditional Martingale Steps

- ID: `q-20261014-advance-20261031-r07-martingale-0009`; number: 33734
- Processing: second_context_reviewed
- MKO: [mko-martingale](/en/mko/mko-martingale/)
- Family: [qf-mod31-martdeep-constant-expectation-counterexample](/en/explore/?family=qf-mod31-martdeep-constant-expectation-counterexample)
- Batch: [batch-20261014-advance-20261031-r07-martingale-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r07-martingale-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r07-martingale-0009/) / [Markdown](/en/questions/q-20261014-advance-20261031-r07-martingale-0009/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r07-martingale-0009.json)

## Question 33735: Constant Total Expectations Can Fail Conditional Martingale Steps

- ID: `q-20261014-advance-20261031-r07-martingale-0010`; number: 33735
- Processing: second_context_reviewed
- MKO: [mko-martingale](/en/mko/mko-martingale/)
- Family: [qf-mod31-martdeep-constant-expectation-counterexample](/en/explore/?family=qf-mod31-martdeep-constant-expectation-counterexample)
- Batch: [batch-20261014-advance-20261031-r07-martingale-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r07-martingale-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r07-martingale-0010/) / [Markdown](/en/questions/q-20261014-advance-20261031-r07-martingale-0010/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r07-martingale-0010.json)

## Question 33736: Constant Total Expectations Can Fail Conditional Martingale Steps

- ID: `q-20261014-advance-20261031-r07-martingale-0011`; number: 33736
- Processing: second_context_reviewed
- MKO: [mko-martingale](/en/mko/mko-martingale/)
- Family: [qf-mod31-martdeep-constant-expectation-counterexample](/en/explore/?family=qf-mod31-martdeep-constant-expectation-counterexample)
- Batch: [batch-20261014-advance-20261031-r07-martingale-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r07-martingale-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r07-martingale-0011/) / [Markdown](/en/questions/q-20261014-advance-20261031-r07-martingale-0011/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r07-martingale-0011.json)

## Question 33737: Constant Total Expectations Can Fail Conditional Martingale Steps

- ID: `q-20261014-advance-20261031-r07-martingale-0012`; number: 33737
- Processing: second_context_reviewed
- MKO: [mko-martingale](/en/mko/mko-martingale/)
- Family: [qf-mod31-martdeep-constant-expectation-counterexample](/en/explore/?family=qf-mod31-martdeep-constant-expectation-counterexample)
- Batch: [batch-20261014-advance-20261031-r07-martingale-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r07-martingale-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r07-martingale-0012/) / [Markdown](/en/questions/q-20261014-advance-20261031-r07-martingale-0012/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r07-martingale-0012.json)

## Question 33738: Constant Total Expectations Can Fail Conditional Martingale Steps

- ID: `q-20261014-advance-20261031-r07-martingale-0013`; number: 33738
- Processing: second_context_reviewed
- MKO: [mko-martingale](/en/mko/mko-martingale/)
- Family: [qf-mod31-martdeep-constant-expectation-counterexample](/en/explore/?family=qf-mod31-martdeep-constant-expectation-counterexample)
- Batch: [batch-20261014-advance-20261031-r07-martingale-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r07-martingale-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r07-martingale-0013/) / [Markdown](/en/questions/q-20261014-advance-20261031-r07-martingale-0013/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r07-martingale-0013.json)

## Question 33739: Constant Total Expectations Can Fail Conditional Martingale Steps

- ID: `q-20261014-advance-20261031-r07-martingale-0014`; number: 33739
- Processing: second_context_reviewed
- MKO: [mko-martingale](/en/mko/mko-martingale/)
- Family: [qf-mod31-martdeep-constant-expectation-counterexample](/en/explore/?family=qf-mod31-martdeep-constant-expectation-counterexample)
- Batch: [batch-20261014-advance-20261031-r07-martingale-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r07-martingale-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r07-martingale-0014/) / [Markdown](/en/questions/q-20261014-advance-20261031-r07-martingale-0014/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r07-martingale-0014.json)

## Question 33740: Constant Total Expectations Can Fail Conditional Martingale Steps

- ID: `q-20261014-advance-20261031-r07-martingale-0015`; number: 33740
- Processing: second_context_reviewed
- MKO: [mko-martingale](/en/mko/mko-martingale/)
- Family: [qf-mod31-martdeep-constant-expectation-counterexample](/en/explore/?family=qf-mod31-martdeep-constant-expectation-counterexample)
- Batch: [batch-20261014-advance-20261031-r07-martingale-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r07-martingale-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r07-martingale-0015/) / [Markdown](/en/questions/q-20261014-advance-20261031-r07-martingale-0015/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r07-martingale-0015.json)

## Question 33741: Constant Total Expectations Can Fail Conditional Martingale Steps

- ID: `q-20261014-advance-20261031-r07-martingale-0016`; number: 33741
- Processing: second_context_reviewed
- MKO: [mko-martingale](/en/mko/mko-martingale/)
- Family: [qf-mod31-martdeep-constant-expectation-counterexample](/en/explore/?family=qf-mod31-martdeep-constant-expectation-counterexample)
- Batch: [batch-20261014-advance-20261031-r07-martingale-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r07-martingale-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r07-martingale-0016/) / [Markdown](/en/questions/q-20261014-advance-20261031-r07-martingale-0016/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r07-martingale-0016.json)

## Question 33742: Constant Total Expectations Can Fail Conditional Martingale Steps

- ID: `q-20261014-advance-20261031-r07-martingale-0017`; number: 33742
- Processing: second_context_reviewed
- MKO: [mko-martingale](/en/mko/mko-martingale/)
- Family: [qf-mod31-martdeep-constant-expectation-counterexample](/en/explore/?family=qf-mod31-martdeep-constant-expectation-counterexample)
- Batch: [batch-20261014-advance-20261031-r07-martingale-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r07-martingale-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r07-martingale-0017/) / [Markdown](/en/questions/q-20261014-advance-20261031-r07-martingale-0017/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r07-martingale-0017.json)

## Question 33743: Constant Total Expectations Can Fail Conditional Martingale Steps

- ID: `q-20261014-advance-20261031-r07-martingale-0018`; number: 33743
- Processing: second_context_reviewed
- MKO: [mko-martingale](/en/mko/mko-martingale/)
- Family: [qf-mod31-martdeep-constant-expectation-counterexample](/en/explore/?family=qf-mod31-martdeep-constant-expectation-counterexample)
- Batch: [batch-20261014-advance-20261031-r07-martingale-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r07-martingale-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r07-martingale-0018/) / [Markdown](/en/questions/q-20261014-advance-20261031-r07-martingale-0018/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r07-martingale-0018.json)

## Question 33744: Constant Total Expectations Can Fail Conditional Martingale Steps

- ID: `q-20261014-advance-20261031-r07-martingale-0019`; number: 33744
- Processing: second_context_reviewed
- MKO: [mko-martingale](/en/mko/mko-martingale/)
- Family: [qf-mod31-martdeep-constant-expectation-counterexample](/en/explore/?family=qf-mod31-martdeep-constant-expectation-counterexample)
- Batch: [batch-20261014-advance-20261031-r07-martingale-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r07-martingale-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r07-martingale-0019/) / [Markdown](/en/questions/q-20261014-advance-20261031-r07-martingale-0019/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r07-martingale-0019.json)

## Question 33745: Constant Total Expectations Can Fail Conditional Martingale Steps

- ID: `q-20261014-advance-20261031-r07-martingale-0020`; number: 33745
- Processing: second_context_reviewed
- MKO: [mko-martingale](/en/mko/mko-martingale/)
- Family: [qf-mod31-martdeep-constant-expectation-counterexample](/en/explore/?family=qf-mod31-martdeep-constant-expectation-counterexample)
- Batch: [batch-20261014-advance-20261031-r07-martingale-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r07-martingale-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r07-martingale-0020/) / [Markdown](/en/questions/q-20261014-advance-20261031-r07-martingale-0020/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r07-martingale-0020.json)

## Question 33746: Constant Total Expectations Can Fail Conditional Martingale Steps

- ID: `q-20261014-advance-20261031-r07-martingale-0021`; number: 33746
- Processing: second_context_reviewed
- MKO: [mko-martingale](/en/mko/mko-martingale/)
- Family: [qf-mod31-martdeep-constant-expectation-counterexample](/en/explore/?family=qf-mod31-martdeep-constant-expectation-counterexample)
- Batch: [batch-20261014-advance-20261031-r07-martingale-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r07-martingale-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r07-martingale-0021/) / [Markdown](/en/questions/q-20261014-advance-20261031-r07-martingale-0021/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r07-martingale-0021.json)

## Question 33747: Constant Total Expectations Can Fail Conditional Martingale Steps

- ID: `q-20261014-advance-20261031-r07-martingale-0022`; number: 33747
- Processing: second_context_reviewed
- MKO: [mko-martingale](/en/mko/mko-martingale/)
- Family: [qf-mod31-martdeep-constant-expectation-counterexample](/en/explore/?family=qf-mod31-martdeep-constant-expectation-counterexample)
- Batch: [batch-20261014-advance-20261031-r07-martingale-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r07-martingale-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r07-martingale-0022/) / [Markdown](/en/questions/q-20261014-advance-20261031-r07-martingale-0022/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r07-martingale-0022.json)

## Question 33748: Constant Total Expectations Can Fail Conditional Martingale Steps

- ID: `q-20261014-advance-20261031-r07-martingale-0023`; number: 33748
- Processing: second_context_reviewed
- MKO: [mko-martingale](/en/mko/mko-martingale/)
- Family: [qf-mod31-martdeep-constant-expectation-counterexample](/en/explore/?family=qf-mod31-martdeep-constant-expectation-counterexample)
- Batch: [batch-20261014-advance-20261031-r07-martingale-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r07-martingale-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r07-martingale-0023/) / [Markdown](/en/questions/q-20261014-advance-20261031-r07-martingale-0023/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r07-martingale-0023.json)

## Question 33749: Constant Total Expectations Can Fail Conditional Martingale Steps

- ID: `q-20261014-advance-20261031-r07-martingale-0024`; number: 33749
- Processing: second_context_reviewed
- MKO: [mko-martingale](/en/mko/mko-martingale/)
- Family: [qf-mod31-martdeep-constant-expectation-counterexample](/en/explore/?family=qf-mod31-martdeep-constant-expectation-counterexample)
- Batch: [batch-20261014-advance-20261031-r07-martingale-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r07-martingale-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r07-martingale-0024/) / [Markdown](/en/questions/q-20261014-advance-20261031-r07-martingale-0024/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r07-martingale-0024.json)

## Question 33750: Constant Total Expectations Can Fail Conditional Martingale Steps

- ID: `q-20261014-advance-20261031-r07-martingale-0025`; number: 33750
- Processing: second_context_reviewed
- MKO: [mko-martingale](/en/mko/mko-martingale/)
- Family: [qf-mod31-martdeep-constant-expectation-counterexample](/en/explore/?family=qf-mod31-martdeep-constant-expectation-counterexample)
- Batch: [batch-20261014-advance-20261031-r07-martingale-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r07-martingale-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r07-martingale-0025/) / [Markdown](/en/questions/q-20261014-advance-20261031-r07-martingale-0025/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r07-martingale-0025.json)

