Timelike line congruences via surface theory in Minkowski 3-space
Line congruences are crucial in classical geometry, particularly in relating one surface to another through families of lines. These correspondences are most valuable when they preserve key geometric features of the original surface.
Areej A. Almoneef, Rashad A. Abdel-baky
doaj +1 more source
Differential geometry of line of curvature on parametric hypersurfaces in $\mathbb{E}^4$
The purpose of this paper is, first, to give an algorithm that enables to obtain the lines of curvature on parametric hypersurfaces in Euclidean 4-space, and then, to obtain the curvatures of such lines by using the extended Darboux frame along the curve.
Çelik, Fatih, Düldül, Mustafa
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Reconstructing enzyme evolution by protein engineering
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
BCL9 and BCL9L drive bladder cancer progression by enhancing β‐catenin signaling, promoting proliferation, migration, invasion, and organoid growth. Genetic depletion of BCL9(L) suppresses malignant phenotypes, while pharmacological disruption of the β‐catenin/BCL9(L) complex with ZW4864 inhibits canonical Wnt signaling and tumor‐associated cellular ...
Roland Kotolloshi +11 more
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Satellite radar interferometry (InSAR) techniques have been successfully applied for structural health monitoring of line-infrastructure such as railway.
Ling Chang +3 more
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This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill +4 more
wiley +1 more source
Based on differential geometry and spatial engaging theory,a set of formula of finger conical surface double enveloping worm gearing is derived.Through an example,the undercutting boundary line and contact line are depicted.At the same time,the variation
彭晓南, 王自兴
doaj
Evolutionary analysis across 32 placental mammals identified positive selection at residues H148 and W149 in the immune receptor FcγR1. Ancestral reconstruction combined with molecular dynamics simulations reveals how these mutations may influence receptor structure and dynamics, providing insight into the evolution of antibody recognition and immune ...
David A. Young +7 more
wiley +1 more source
(1) The Fundamental Equations of Dynamics and its Main Co-ordinate Systems Vectorially Treated and Illustrated from Rigid Dynamics (2) Projective Vector Algebra: An Algebra of Vectors Independent of the Axioms of Congruence and of Parallels (3) Elements of Graphic Dynamics: An Elementary Text-book for Students of Mechanics and Engineering (4) Differential Calculus for Colleges and Secondary-Schools (5) The Analytical Geometry of the Straight Line and the Circle [PDF]
(1) MANIFOLD adaptations of dynamical reasoning have given rise to specialised treatises of undoubted excellence. Prof. Slate sets himself the task of surveying the common foundation and the common stock of resources of these adaptations, as well as the trend of modern development in dynamics.
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The geometry of differential privacy: the sparse and approximate cases [PDF]
We study trade-offs between accuracy and privacy in the context of linear queries over histograms. This is a rich class of queries that includes contingency tables and range queries and has been the focus of a long line of work.
Aleksandar Nikolov +2 more
semanticscholar +1 more source

