Pith. sign in

REVIEW 5 cited by

Existence and uniqueness of solutions in the Lipschitz space of a functional equation and its application to the behavior of the paradise fish

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2405.12345 v1 pith:FX2GREW4 submitted 2024-05-20 math.FA

classification math.FA
keywords equationfunctionalapplicationbehaviorexistencefishlipschitzparadise
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

In this paper, we examine the solvability of a functional equation in a Lipschitz space. As an application, we use our result to determine the existence and uniqueness of solutions to an equation describing a specific type of choice behavior model for the learning process of the paradise fish. Finally, we present some concrete examples where, using numerical techniques, we obtain approximations to the solution of the functional equation. As the straightforward Picard's iteration can be very expensive, we show that an analytical suboptimal least-squares approximation can be chosen in practice, resulting in very good accuracy.

Discussion (0). Sign in to comment.

Forward citations

Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Reasoning or Memorization: Can LLMs Understand and Generate Chinese Xiehouyu Riddles?

    cs.CL 2026-07 conditional novelty 6.5 of 10

    Δacc between low-frequency and novel xiehouyu is ~23.6% for Chinese frontier LLMs vs ~5.1% for English-centric models and ~2.9% for humans, while LLM-created xiehouyu rate below human creations.

  2. ToonComposer: Streamlining Cartoon Production with Generative Post-Keyframing

    cs.CV 2025-08 conditional novelty 6.0 of 10

    ToonComposer generates cartoon videos from a colored reference frame and sparse keyframe sketches, merging inbetweening and colorization in one diffusion model.

  3. EchoVoices: Preserving Generational Voices and Memories for Seniors and Children

    cs.SD 2025-07 conditional novelty 5.0 of 10

    EchoVoices combines k-NN-enhanced Whisper ASR, two-stage VITS TTS, and an LLM/RAG persona agent to create digital personas for seniors and children, reporting CER and similarity gains on two Mandarin datasets.

  4. Growth Rate Analysis in $f(R,L_m)$ Gravity: A Comparative Study with \boldmath$\Lambda$CDM Cosmology

    gr-qc 2025-07 reject novelty 4.0 of 10

    The paper claims f(R,L_m) gravity with matter-curvature coupling fits f_sigma8 measurements better than LambdaCDM, but the supporting comparison table contains unphysical negative LambdaCDM growth rates and no statist...

  5. Fuel Consumption in Platoons: A Literature Review

    eess.SY 2025-08 unverdicted

    A literature review compiling factors that affect fuel consumption in vehicle platoons, including drag reduction, coordination, and instability.

Pith tools