Results 191 to 200 of about 2,171 (226)
Cyclo‐Polyproline: Chameleonic All‐Peptide Macrocycles With Induced‐Fit Host‐Guest Recognition
Angewandte Chemie, EarlyView.Macrocycles served as the genesis of supramolecular chemistry, advancing synthetic, separation, and materials fields. Despite their utility, they typically lack synthetic control. This work establishes a robust platform for all‐peptide macrocycles capable of host‐guest complexation and chameleonic behavior.
Camilla Di Girolamo +9 more
wiley +2 more sources
Defect‐Guided Assembly of Aperiodic and Flexible Metal–Organic Frameworks From Pre‐Formed Cages
Angewandte Chemie, EarlyView.A cage‐directed strategy is used to program topologically correlated defects and induce aperiodicity in HKUST‐1‐type MOFs. A missing carboxylate group in the linker drives the formation of Cu‐vacancy domains, while Rh(II) cages spatially confine these defects.
Francisco Sánchez‐Férez +12 more
wiley +1 more source
Angewandte Chemie, EarlyView.Glycine molecules induce a unique crystal packing into a supramolecular one‐dimensional columnar structure of octacyanidotungstates, which exhibits exceptionally strong antiferromagnetic superexchange interactions of J = −42.41(2) K between adjacent octacyanidotungstate units.
Tatsuya Konishi +8 more
wiley +1 more source
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An algebraic characterization of properly congruent-like quadrilaterals
Journal of Geometry, 2019 In this paper, we will provide a characterization of pairs of non-congruent quadrilaterals for which all elements are pairwise congruent (‘properly congruent-like quadrilaterals’).
Giuseppina Anatriello +2 more
exaly +2 more sources
SIAM Journal on Mathematical Analysis, 2002
In this paper, macroelements for spline approximation are constructed on quadrangulations for any prescribed smoothness. The elements depend only on natural derivative information. The dimension of the spline spaces that results is identified in the two main theorems for even and odd degree of smoothness.
Ming-Jun Lai, Larry L. Schumaker
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In this paper, macroelements for spline approximation are constructed on quadrangulations for any prescribed smoothness. The elements depend only on natural derivative information. The dimension of the spline spaces that results is identified in the two main theorems for even and odd degree of smoothness.
Ming-Jun Lai, Larry L. Schumaker
openaire +1 more source
Chinese Annals of Mathematics, 2002
Equivalence of several quadrilateral shape regular mesh conditions used in finite element analysis are proved and their influence on the finite element interpolation error studied. The necessity of the bisection condition is emphasized through illustrations.
Ming, Pingbing, Shi, Zhongci
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Equivalence of several quadrilateral shape regular mesh conditions used in finite element analysis are proved and their influence on the finite element interpolation error studied. The necessity of the bisection condition is emphasized through illustrations.
Ming, Pingbing, Shi, Zhongci
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Pattern Recognition Letters, 1988
We show that an arbitrarily given quadrilateral can always be interpreted as an image of a parallelogram and that the interpretation is unique aside from a multiplicative constant. Several applications of this theorem are discussed. It could be used to prove an old, geometrical theorem; it could facilitate the matching process when a sequence of images
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We show that an arbitrarily given quadrilateral can always be interpreted as an image of a parallelogram and that the interpretation is unique aside from a multiplicative constant. Several applications of this theorem are discussed. It could be used to prove an old, geometrical theorem; it could facilitate the matching process when a sequence of images
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Brahmagupta quadrilaterals are lattice quadrilaterals
Involve, a Journal of MathematicsA Brahmagupta quadrilateral is a cyclic quadrilateral that has integer side and diagonal lengths with an integer area. The authors prove that a Brahmagupta quadrilateral can be placed in the plane with its vertices having rational coordinates and thus integer ones by some rotation, see [\textit{J.
Marshall, Susan H., Tortorelli, Brooke
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Creating Quadrilaterals from Quadrilaterals
The Mathematics Teacher, 2016Students create rules to form new quadrilaterals from existing ones, use dynamic geometry software to construct and make conjectures about these, and attempt to prove their conjectures.
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