Results 41 to 50 of about 2,479,499 (318)

Vector Spaces

, 1997
Abstract By the time you reach this point, you will probably have met vector spaces in another course: perhaps matrices, geometry, mechanics, or linear algebra. The treatment here may be somewhat different. A vector space is an algebraic object like a ring or a group, and we will start with a collection of axioms, as we did in the ...
Jin Ho Kwak, Sungpyo Hong
  +4 more sources

A DIFFERENTIABLE STRUCTURE ON A FINITE DIMENSIONAL REAL VECTOR SPACE AS A MANIFOLD

Barekeng, 2023
There are three conditions for a topological space to be said a topological manifold of dimension  : Hausdorff space, second-countable, and the existence of homeomorphism of a neighborhood of each point to an open subset of  or -dimensional locally ...
Edi Kurniadi
doaj   +1 more source

The planar cell polarity protein Vangl2 interacts with the PDZ‐domains of Scribble but not with a unique PDZ‐like domain in Inturned

FEBS Letters, EarlyView.
Structural and biochemical characterisations show that the planar cell polarity (PCP) protein Inturned harbours a unique PDZ‐like domain that does not bind canonical PDZ‐binding motifs (PBMs) like that of another PCP protein Vangl2. In contrast, the apical‐basal polarity protein Scribble contains four PDZ domains that bind Vangl2, but one PDZ domain ...
Stephan Wilmes, Jan Brysch, Carmen Gelze, Lilli Meier, Daniel Kümmel   +4 more
wiley   +1 more source

Compressing Word Embeddings

, 2016
Recent methods for learning vector space representations of words have succeeded in capturing fine-grained semantic and syntactic regularities using vector arithmetic. However, these vector space representations (created through large-scale text analysis)
DP Vinson, J Pennington, L Finkelstein, O Levy, S Lloyd, TL Griffiths   +5 more
core   +1 more source

Structural insights into an engineered feruloyl esterase with improved MHET degrading properties

FEBS Letters, EarlyView.
A feruloyl esterase was engineered to mimic key features of MHETase, enhancing the degradation of PET oligomers. Structural and computational analysis reveal how a point mutation stabilizes the active site and reshapes the binding cleft, expading substrate scope.
Panagiota Karampa, Konstantinos Makryniotis, Theofani‐Iosifina Sousani, Evangelos Topakas, Vangelis Daskalakis, Maria Dimarogona   +5 more
wiley   +1 more source

Hierarchical and Non-Hierarchical Linear and Non-Linear Clustering Methods to “Shakespeare Authorship Question”

Social Sciences, 2015
A few literary scholars have long claimed that Shakespeare did not write some of his best plays (history plays and tragedies) and proposed at one time or another various suspect authorship candidates. Most modern-day scholars of Shakespeare have rejected
Refat Aljumily
doaj   +1 more source

alpha-Topological Vector Spaces

Hacettepe Journal of Mathematics and Statistics, 2017
Summary: The notion of \(\alpha\)-topological vector space is introduced and several properties are studied. A~complete comparison between this class and the class of topological vector spaces is presented. In particular, \(\alpha\)-topological vector spaces are shown to be independent from topological vector spaces. Finally, a sufficient condition for
openaire   +4 more sources

Invariant vector fields and groupoids

, 2014
We use the notion of isomorphism between two invariant vector fields to shed new light on the issue of linearization of an invariant vector field near a relative equilibrium.
Lerman, Eugene
core   +1 more source

A methionine‐lined active site governs carbocation stabilization and product specificity in a bacterial terpene synthase

FEBS Letters, EarlyView.
This study reveals a unique active site enriched in methionine residues and demonstrates that these residues play a critical role by stabilizing carbocation intermediates through novel sulfur–cation interactions. Structure‐guided mutagenesis further revealed variants with significantly altered product profiles, enhancing pseudopterosin formation. These
Marion Ringel, Carl P. O. Helmer, Shani Zev, Ronja Driller, Emily Buhr, Markus Reinbold, Renana Schwartz, Gabriel Foley, Mikael Boden, Daniel Garbe, Gerhard Schenk, Dan Thomas Major, Bernhard Loll, Thomas Brück   +13 more
wiley   +1 more source

On computation of the first Baues--Wirsching cohomology of a freely-generated small category

, 2014
The Baues--Wirsching cohomology is one of the cohomologies of a small category. Our aim is to describe the first Baues--Wirsching cohomology of the small category generated by a finite quiver freely.
B. Mitchell, E.L. Green, H.J. Baues, R.-O. Buchweitz, Y. Han   +4 more
core   +1 more source