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Everything about Structure constants
Coefficients of an algebra over a field
In mathematics, the structure constants or structure coefficients of an algebra over a field are the coefficients of the basis expansion of the products of basis vectors. Because the product operation in the algebra is bilinear, by linearity knowing the product of basis vectors allows to compute the product of any elements . Therefore, the structure constants can be used to specify the product operation of the algebra. Given the structure constants, the resulting product is obtained by bilinearity and can be uniquely extended to all vectors in the vector space, thus uniquely determining the product for the algebra. Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: Structure constantsA 5-minute orientation
- Skim a recent paper: On the effective elastic constants of anti-tetra chiral tubular structureInfluential work since 2022
- Pick up a classic book: Measuring the skinThe most-reprinted book on the subject
- Read the landmark paper: Fine Structure Constant Defines Visual Transparency of GrapheneCited 8,522 times
- Go sideways: Kodaira–Spencer mapA closely related topic
- Go sideways: Compatibility (mechanics)A closely related topic
đź“– Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Fine Structure Constant Defines Visual Transparency of Graphene
Aromatic substituent constants for structure-activity correlations
Hyperfine Structure Constants of HF and DF
Diatomic Molecule Electronic Structure beyond Simple Molecular Constants
Structure constants at wrapping order
The superconformal bootstrap for structure constants
Hyperfine Structure Constants of Chlorine Monofluoride
The structure and hyperfine constants of HF–Cl2
🆕 Influential since 2022
On the effective elastic constants of anti-tetra chiral tubular structure
Public Data Set of Protein–Ligand Dissociation Kinetic Constants for Quantitative Structure–Kinetics Relationship Studies
A novel windmill-shaped auxetic structure with enhanced mechanical properties and tunable elastic constants
Understanding Structure–Property Relationships of MOFs for Gas Sensing through Henry’s Constants
High Level Electronic Structure Calculation of Molecular Solid-State NMR Shielding Constants
đź“š Books worth reading
Measuring the skinPhilippe Humbert, P. Agache · 2004- 📕Newton's law of universal gravitation and the fine structure constantB. A. Soldano · 1987
- 📕The fine structure constant-[alpha]-and its role in atomic processKenneth Crain · 1996
Cosmological parameters and the evolution of the universeInternational Astronomical Union. Symposium · 1999
Vibronic couplingGad Fischer · 1984
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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