Results 21 to 30 of about 3,355 (248)
General Equations of Non-Degenerate Conics
Modelling in Civil Environmental Engineering, 2021 In this article, we present a method to obtain equations of non-degenerate conics in an initial Cartesian frame (xOy), starting from their canonical expressions in another Cartesian frame (x′′Cy′′).
Mihai Radu-Ioan
doaj +1 more source
Conics meeting eight lines over perfect fields [PDF]
, 2023 Over the complex numbers, there are 92 plane conics meeting 8 general lines in projective 3-space. Using the Euler class and local degree from motivic homotopy theory, we give an enriched version of this result over any perfect field.
McKean, Stephen +3 more
core +1 more source
Triads of Conics Associated with a Triangle [PDF]
, 2022 We revisit constructions based on triads of conics with foci at pairs of vertices of a reference triangle. We find that their 6 vertices lie on well-known conics, whose type we analyze. We give conditions for these to be circles and/or degenerate. In the
Moses, Peter +3 more
core +2 more sources
Crossing Limit Cycles of Planar Piecewise Linear Hamiltonian Systems without Equilibrium Points
Mathematics, 2020 In this paper, we study the existence of limit cycles of planar piecewise linear Hamiltonian systems without equilibrium points. Firstly, we prove that if these systems are separated by a parabola, they can have at most two crossing limit cycles, and if ...
Rebiha Benterki, Jaume LLibre
doaj +1 more source
Groups and monoids of Pythagorean triples connected to conics
Open Mathematics, 2017 We define operations that give the set of all Pythagorean triples a structure of commutative monoid. In particular, we define these operations by using injections between integer triples and 3 × 3 matrices.
Murru Nadir +3 more
doaj +1 more source
Students' Mistakes and Misconceptions on the Subject of Conics
International Journal of Education, 2020 The purpose of this study is to determine the levels of geometric thinking, mistakes, and misconceptions of students on the concept of conics. This study was conducted on 91 students in the first semester in 2017 at one of the universities in Indonesia ...
Eyus Sudihartinih, Tia Purniati
doaj +1 more source
, 1926 Readers of the article in the October Magazine on “Systems of Conics satisfying four conditions” would notice the important part played by degenerate conics. A little more explanation of these degenerate conics may not be out of place.
J. J. Milne
core +1 more source
APPLICATION OF DANDELIN’S THEOREM TO DRAWING CIRCLES IN PARALLEL PERSPECTIVE
Journal of Industrial Design and Engineering Graphics, 2017 The paper analyses a problem of great theoretical importance in practice of perspective: the nature of the perspective of a circle from the horizontal plane according to the relative position between the spectator plane (parallel to the picture plane ...
Daniel Dobre
doaj +4 more sources
Conics Inscribed in a Standard Triangle in the Isotropic Plane
MathematicsIn this paper, we study conics inscribed in a standard triangle in the isotropic plane. Our research gives the conditions under which the inscribed conic is an ellipse, a parabola, or a hyperbola, expressed through the elements of a standard triangle. We
Vladimir Volenec, Ružica Kolar-Šuper
doaj +1 more source
An epithelial GPR35 isoform supports tumor‐associated transcriptional and metabolic phenotypes
FEBS Letters, EarlyView.GPR35 generates two functionally distinct isoforms with previously unresolved roles. GPR35‐short mediates immune‐cell chemotaxis, while GPR35‐long is enriched in colorectal cancer epithelium, where it supports increased metabolism, proliferation, and tumor‐associated transcriptional programs.
Jørgen D. Rønneberg +14 more
wiley +1 more source