Triple
T32308212
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Cauchy’s mean value theorem |
E825423
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | mean value theorem |
C716
|
CONCEPT FINISHED |
How this triple was built (1 step)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: mean value theorem Context triple: [Cauchy’s mean value theorem, instanceOf, mean value theorem]
-
A.
rule in calculus
A rule in calculus is a general principle or formula that systematically relates functions and their rates of change or accumulations, guiding operations like differentiation and integration.
-
B.
integral
An integral is a fundamental mathematical concept that represents the accumulation of quantities, often interpreted as the area under a curve or the total of continuously varying values.
-
C.
mathematical theorem
chosen
A mathematical theorem is a rigorously proven statement derived from axioms and previously established results, expressing a fundamental truth within a formal mathematical system.
-
D.
moment inequality
A moment inequality is a constraint that specifies that an expected value (moment) of a random variable or function of data must lie above or below a certain bound, rather than being exactly equal to it.
-
E.
moment condition
A moment condition is an equation that sets a population moment (such as a mean, variance, or covariance) implied by a statistical or economic model equal to its theoretical value, forming the basis for estimation or testing.
- F. None of above.
Provenance (1 batch)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69f3491213b88190a57094d8697a7455 |
completed | April 30, 2026, 12:20 p.m. |
Created at: May 1, 2026, 12:45 a.m.