Results 21 to 30 of about 172,004,226 (237)
On the Structure of SO(3): Trace and Canonical Decompositions
MathematicsThis paper is devoted to some selected topics of the theory of special orthogonal group SO(3). First, we discuss the trace of orthogonal matrices and its relation to the characteristic polynomial; on this basis, the partition of SO(3) formed by ...
Demeter Krupka, Ján Brajerčík
doaj +1 more source
Reconstructing enzyme evolution by protein engineering
FEBS Letters, EarlyView.Natural enzyme evolution can be retraced by protein engineering methods such as directed evolution, rational design, and ancestral sequence reconstruction. These approaches reveal how enzymes emerged from ligand‐binding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler +2 more
wiley +1 more source
Developments in noncommutative differential geometry [PDF]
, 2002 One of the great outstanding problems of theoretical physics is the quantisation of gravity, and an associated description of quantum spacetime. It is often argued that, at short distances, the manifold structure of spacetime breaks down and is replaced ...
Hale, Mark
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Differential Geometry, Differential Equations, and Mathematical Physics : The Wisła 19 Summer School
, 2021 This volume presents lectures given at the Wisła 19 Summer School: Differential Geometry, Differential Equations, and Mathematical Physics, which took place from August 19 - 29th, 2019 in Wisła, Poland, and was organized by the Baltic Institute of ...
Schneider, Eivind, Ulan, Maria
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Engineering peptides into antibodies—opportunities and strategies for therapeutic innovation
FEBS Letters, EarlyView.Peptides and antibodies occupy complementary therapeutic niches. Peptides recognize difficult targets in a compact format, while antibodies add specificity, long half‐life, and effector functions. This review examines strategies that merge both modalities—peptide grafting into loops, terminal and Fc fusions, and bioconjugation—highlighting how ...
Jinling Wang +2 more
wiley +1 more source
An introduction to differential geometry in econometrics [PDF]
, 2000 In this introductory chapter we seek to cover sufficient differential geometry in order to understand its application to Econometrics. It is not intended to be a comprehensive review of either differential geometric theory, nor of all the applications ...
Salmon, Mark H., Marriott, Paul
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Differential Geometry in Physics [PDF]
, 2021 Differential Geometry in Physics is a treatment of the mathematical foundations of the theory of general relativity and gauge theory of quantum fields.
NC DOCKS at The University of North Carolina Wilmington +1 more
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Geometric analysis of slant timelike-ruled surfaces and Bertrand offsets in Minkowski 3-space
AIP AdvancesThis study investigates the geometric properties of slant timelike-ruled surfaces and their Bertrand offsets in Minkowski space. By deriving their parametric equations, we examine the structural characteristics of these surfaces and classify their offset
Areej A. Almoneef, Rashad A. Abdel-Baky
doaj +1 more source
Ain Shams Engineering JournalWe study the comparative exact solutions of the Kairat-II equation describing the physical behaviors of nonlinear systems. The newly introduced Kairat equation has numerous applications in the fields of plasma physics, optical communications ...
Usman Younas +4 more
doaj +1 more source
‘Guide and Prejudice’— How Argonautes recognize targets across domains of life
FEBS Letters, EarlyView.Argonaute proteins use short nucleic‐acid guides to locate and regulate specific targets across all domains of life. Despite striking diversity—from human gene silencing to bacterial immune defence—all Argonautes share a conserved three‐stage recognition logic: guide‐directed sampling, progressive target pairing with a conformational checkpoint and ...
Jack P. K. Bravo
wiley +1 more source