Results 171 to 180 of about 37,514 (226)

Shape and topology morphing of closed surfaces integrating origami and kirigami. [PDF]

Sci Adv
Dang X, Chen S, Acha AE, Wu L, Pasini D.
europepmc   +1 more source

London Dispersion versus Intramolecular Hydrogen Bond in Bis-Pyridines: How Accurate Is DFT for Competing Noncovalent Interactions in the Condensed Phase? [PDF]

Chemistry
Savoy A, Gorbachev V, Stindt CN, Chen P.
europepmc   +1 more source

Characterizing internal models of the visual environment. [PDF]

Proc Biol Sci
Engeser M, Ajith S, Duymaz I, Wang G, Foxwell MJ, Cichy RM, Pitcher D, Kaiser D.   +7 more
europepmc   +1 more source

Clinical study on precision repair of orbital fractures using 3D-printed orbital models assisting with absorbable plates. [PDF]

BMC Ophthalmol
Chen Y, Liu W.
europepmc   +1 more source

On the Differntial Geometry of a Line Congruence

On the Differntial Geometry of a Line Congruence
openaire  

The Geometry of Modular Congruence Spaces

This paper delves into the intricate geometric structures arising from modular congruence spaces, which are quotients of the upper half-plane by congruence subgroups of the modular group SL(2,Z). These spaces serve as fundamental objects in number theory, algebraic geometry, and the theory of automorphic forms, encoding deep arithmetic information.
SÉRGIO DE ANDRADE, PAULO
  +5 more sources

Geometry of flat-space null geodesic congruences

General Relativity and Gravitation, 2020
The author studies the general explicit generic expression for null geodesic congruences. From each congruence the construction of a virtually unique form of the flat Lorentzian metric that is associated with the congruence is established. Also, the optical parameters for each congruence are calculated, and the important cases of the shear-free ...
Ezra T. Newman
openaire   +3 more sources

The topological shadow of $${{{\mathbb {F}}}_1}$$-geometry: congruence spaces

Mathematische Zeitschrift
This paper is based on monoid schemes, which are related to and are termed the minimalist approach to algebraic geometry over $\mathbb{F}_1$ or $\mathbb{F}_1$-geometry in short. Monoid schemes connect with various other geometry fields, such as those with toric geometry, which the reviewer was familiar with. One can refer to [\textit{A. Deitmar}, Beitr.
Lorscheid, Oliver, Ray, Samarpita
openaire   +4 more sources

An Improvement on SSA Congruence for Geometry and Trigonometry

The Mathematics Teacher, 1983
Many textbooks mention what might be called three and a half basic congruence theorems: SAS, ASA, SSS, and HI. (for right triangles). Perhaps because of the ambiguity involved in the SSA condition, this criterion for congruence is consistently neglected.
Shraga Yeshurun, David C. Kay
openaire   +2 more sources