Triple

T880722
Position Surface form Disambiguated ID Type / Status
Subject Oliver Heaviside E19019 entity
Predicate knownFor P22 FINISHED
Object Heaviside step function
The Heaviside step function is a discontinuous mathematical function that jumps from 0 to 1 at a specified point and is widely used to model switching behavior and sudden changes in systems, especially in engineering and signal processing.
E102892 NE FINISHED

How this triple was built (4 steps)

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.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Heaviside step function | Statement: [Oliver Heaviside, knownFor, Heaviside step function]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Heaviside step function
Context triple: [Oliver Heaviside, knownFor, Heaviside step function]
  • A. Riemann zeta function
    The Riemann zeta function is a complex-valued function central to analytic number theory, whose properties—especially the distribution of its zeros—are deeply connected to the distribution of prime numbers.
  • B. Itô’s lemma
    Itô’s lemma is a fundamental result in stochastic calculus that generalizes the chain rule to functions of stochastic processes, especially Brownian motion.
  • C. Riemann–Liouville integral
    The Riemann–Liouville integral is a fundamental operator in fractional calculus that generalizes the concept of an n-fold repeated integral to non-integer (fractional) orders.
  • D. Gaussian integral
    The Gaussian integral is a fundamental result in mathematics that evaluates the integral of the exponential of a negative quadratic function over the entire real line, yielding a value proportional to the square root of π and underpinning the normal distribution in probability theory.
  • E. Ornstein–Uhlenbeck process
    The Ornstein–Uhlenbeck process is a continuous-time stochastic process that models mean-reverting random motion, widely used in physics and quantitative finance to describe systems fluctuating around a long-term equilibrium.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Heaviside step function
Triple: [Oliver Heaviside, knownFor, Heaviside step function]
Generated description
The Heaviside step function is a discontinuous mathematical function that jumps from 0 to 1 at a specified point and is widely used to model switching behavior and sudden changes in systems, especially in engineering and signal processing.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Heaviside step function
Target entity description: The Heaviside step function is a discontinuous mathematical function that jumps from 0 to 1 at a specified point and is widely used to model switching behavior and sudden changes in systems, especially in engineering and signal processing.
  • A. Riemann zeta function
    The Riemann zeta function is a complex-valued function central to analytic number theory, whose properties—especially the distribution of its zeros—are deeply connected to the distribution of prime numbers.
  • B. Itô’s lemma
    Itô’s lemma is a fundamental result in stochastic calculus that generalizes the chain rule to functions of stochastic processes, especially Brownian motion.
  • C. Riemann–Liouville integral
    The Riemann–Liouville integral is a fundamental operator in fractional calculus that generalizes the concept of an n-fold repeated integral to non-integer (fractional) orders.
  • D. Gaussian integral
    The Gaussian integral is a fundamental result in mathematics that evaluates the integral of the exponential of a negative quadratic function over the entire real line, yielding a value proportional to the square root of π and underpinning the normal distribution in probability theory.
  • E. Ornstein–Uhlenbeck process
    The Ornstein–Uhlenbeck process is a continuous-time stochastic process that models mean-reverting random motion, widely used in physics and quantitative finance to describe systems fluctuating around a long-term equilibrium.
  • F. None of above. chosen

Provenance (5 batches)

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_69a4939c32488190a7ccd41cf0abb22b completed March 1, 2026, 7:29 p.m.
NER Named-entity recognition batch_69a4accb653c81909fe0753f78145be9 completed March 1, 2026, 9:16 p.m.
NED1 Entity disambiguation (via context triple) batch_69a7b85630f081909f3a912d54dd328c completed March 4, 2026, 4:43 a.m.
NEDg Description generation batch_69a7b8de773c8190a993b057dfe3693e completed March 4, 2026, 4:45 a.m.
NED2 Entity disambiguation (via description) batch_69a7b9793dd48190869b3499fe170efd completed March 4, 2026, 4:47 a.m.
Created at: March 1, 2026, 7:39 p.m.