Skip to content
DraconiticResearch
Search Sources API
201,683 studies31 sourcesUpdated 15 min ago
PreprintCC BY-ND 4.0HAL

THE CONCEPT OF SURGERY

  • T Agama
Open at sourcePDFCite

Abstract

In this paper, we introduce the concept of surgery. This concept ensures that almost all discontinuous functions can be made continuous without redefining their support. However, it preserves the properties of the original function. Consequently, we are able to get a handle on the number of points of discontinuities on a finite interval using only the information on the norm of the repaired function and vice-versa.

Related

  1. Concept lattices of Q-relations via diagonal and back-diagonal categories
    Hongliang Lai, Bo Pang
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryarXiv
  2. Comparing different approaches to the concept of determinant: the multiplicative approach is the best!
    Peteris Daugulis, Mikhail H Klin, Anita Sondore
    arXivPreprintCC BY-NC-ND 4.0Full textGeneral mathematicsarXiv
  3. Equilibrium and Infeasibility: A new solution concept for games
    Anne Reulke, Mikaël Touati, Rachid El-Azouzi
    HALPreprintPublisher termsFull textOptimisation & controlHALarXiv
  4. General Quantification of Covariate and Concept Shifts
    Hongbo Chen, Li Charlie Xia
    arXivPreprintCC BY 4.0Full textStatisticsarXiv
  5. A Design Concept of Forecasting Software for Normalized Vector Autoregressions with Fat Tails and Stochastic Volatility
    Fei Shang, Xiaolei Wang, Tomasz Woźniak
    arXivPreprintCC BY 4.0Full textStatisticsarXiv

Cite

BibTeXRIS
BibTeX
@misc{agama2026concept,
  title = {{THE CONCEPT OF SURGERY}},
  author = {T Agama},
  howpublished = {HAL},
  year = {2026},
  month = oct,
  url = {https://hal.science/hal-05777089v1},
  note = {CC BY-ND 4.0},
}
RIS
TY  - UNPB
TI  - THE CONCEPT OF SURGERY
AU  - T Agama
PY  - 2026
DA  - 2026/10/04
PB  - HAL
UR  - https://hal.science/hal-05777089v1
AB  - In this paper, we introduce the concept of surgery. This concept ensures that almost all discontinuous functions can be made continuous without redefining their support. However, it preserves the properties of the original function. Consequently, we are able to get a handle on the number of points of discontinuities on a finite interval using only the information on the norm of the repaired function and vice-versa.
ER  -