Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Search research articles

Related Experiment Videos

Framework for biorthogonal Fourier series.

I Herrera¹, D A Spence

¹IIMAS-UNAM, Apdo. Postal 20-726, México, 20, D.F. Mexico.

Proceedings of the National Academy of Sciences of the United States of America

|December 1, 1981

Summary

This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Amphetamine in adolescence induces a sex-specific mesolimbic dopamine phenotype in the adult prefrontal cortex.

Communications biology·2025

Same author

Amphetamine in Adolescence Induces a Sex-Specific Mesolimbic Dopamine Phenotype in the Adult Prefrontal Cortex.

bioRxiv : the preprint server for biology·2025

Same author

Higgs Oscillations in a Unitary Fermi Superfluid.

Physical review letters·2024

Same author

Dynamics of a Fermi Gas Quenched to Unitarity.

Physical review letters·2021

Same author

High-Frequency Sound in a Unitary Fermi Gas.

Physical review letters·2020

Same author

Assessing sustainability performance in the educational sector. A high school case study.

The Science of the total environment·2019

Same journal

Chemotactic self-organization captures the dynamics of mammalian hair follicle patterning.

Proceedings of the National Academy of Sciences of the United States of America·2026

Same journal

Tomographic imaging of superconducting order using particle-hole interference.

Proceedings of the National Academy of Sciences of the United States of America·2026

Same journal

Inhibitory potential of autologous neutralizing antibodies sets quantitative limits on the rebound-competent HIV-1 reservoir.

Proceedings of the National Academy of Sciences of the United States of America·2026

Same journal

Inferring epidemiological parameters under an infectious phylogeography model with visitor dynamics.

Proceedings of the National Academy of Sciences of the United States of America·2026

Same journal

Analytical modeling for suction cup designs for skin-interfaced wearable devices.

Proceedings of the National Academy of Sciences of the United States of America·2026

Same journal

Improving cell-free metabolism through direct integration of artificial respiratory chains.

Proceedings of the National Academy of Sciences of the United States of America·2026

See all related articles

This study introduces an improved method for biorthogonal Fourier series, a mathematical tool used in various scientific problems. The new approach offers significant advantages over traditional techniques for solving complex equations.

Area of Science:

Mathematics
Applied Mathematics
Fourier Analysis

Background:

Biorthogonal Fourier series arise naturally from the separation of variables method.
Standard methods for their application can be cumbersome or inefficient.

Purpose of the Study:

To present a novel approach for handling biorthogonal Fourier series.
To demonstrate the advantages of this new method compared to existing ones.

Main Methods:

The study details a specific technique for constructing and utilizing biorthogonal Fourier series.
This involves a re-evaluation of the standard separation of variables application.

Main Results:

The proposed approach simplifies the process of applying biorthogonal Fourier series.

Related Experiment Videos

It offers considerable advantages in terms of efficiency and ease of use.

Conclusions:

The new method provides a more effective way to implement biorthogonal Fourier series.
This advancement can benefit various scientific and engineering disciplines relying on these series.