Special Smarandache Curves According To Darboux Frame In E3
In this study, we determine some special Smarandache curves according to Darboux frame in E3. We give some characterizations and consequences of Smarandache curves....
Curves of Constant Breadth According to Darboux Frame
In this paper, we investigate constant breadth curves on a surface according to Darboux frame and give some characterizations of these curves....
Databases of elliptic curves ordered by height and distributions of Selmer groups and rank…
Most systematic tables of data associated to ranks of elliptic curves order the curves by conductor. Recent developments, led by work of Bhargava-Shankar studying the average sizes of $n$-Selmer groups, have given new upper bounds on the average alge...
Eclipsing binaries observed with the WIRE satellite. II. beta Aurigae and non-linear limb…
We present the most precise light curve ever obtained of a detached eclipsing binary star and use it investigate the inclusion of non-linear limb darkening laws in eclipsing binary light curve models. This light curve, of the bright system beta Aur...
REPUBLIC: A variability-preserving systematic-correction algorithm for PLATO's multi-camer…
Space-based photometry missions produce exquisite light curves that contain a wealth of stellar variability on a wide range of timescales. Light curves also typically contain significant instrumental systematics -- spurious, non-astrophysical trends...
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signalapp/curve25519-java
Pure Java and JNI backed Curve25519 implementation. (⭐ 238)
Algebraic curve - Wikipedia
mathematics, an affine algebraic plane curve is the zero set of a polynomial in two variables. A projective algebraic plane curve is the zero set in a projective
Curve-Aware Gaussian Splatting for 3D Parametric Curve Reconstruction
This paper presents an end-to-end framework for reconstructing 3D parametric curves directly from multi-view edge maps. Contrasting with existing two-stage methods that follow a sequential ``edge point cloud reconstruction and parametric curve fittin...
Forgetting curve - Wikipedia
The forgetting curve hypothesizes the decline of memory retention in time. This curve shows how information is lost over time when there is no attempt
Arithmetic properties of homogeneous Hilbert curves
Properties of the recently reported homogeneous Hilbert curves are deduced and reported. The nature of the affine transformations involved in the construction of the Hilbert curves is explored. The analytical representation of proper and improper Hil...
dalek-cryptography/curve25519-dalek
A pure-Rust implementation of group operations on Ristretto and Curve25519 (⭐ 1131)
The degree of the central curve in semidefinite, linear, and quadratic programming
The Zariski closure of the central path which interior point algorithms track in convex optimization problems such as linear, quadratic, and semidefinite programs is an algebraic curve. The degree of this curve has been studied in relation to the com...
Generating families on arboreal graphs
The paper is devoted to the study of exact curves on Arborealized Liouville surfaces. We introduce the notion of a generating family for such curves. Our main statement is a hamiltonian lifting property: the set of curves admitting a generating famil...
Computing zeta functions of algebraic curves using Harvey's trace formula
We present a new method for computing the zeta function of an algebraic curve over a finite field. The algorithm relies on a trace formula of Harvey to count points on a plane model of the curve. The zeta function of the curve is then obtained by mak...
Osculating mate of a Frenet curve in the Euclidean 3-space
A new kind of partner curve called osculating mate of a Frenet curve is introduced. Some characterizations for osculating mate are obtained and using the obtained results some special curves such as slant helix, spherical helix, $C$-slant helix and r...
Fano 3-folds and classification of constantly curved holomorphic $2$-spheres of degree $6$…
Up to now the only known constantly curved sextic curve, i.e., holomorphic 2-sphere of degree 6, in the complex $G(2,5)$ has been the first associated curve of the Veronese curve of degree 4, which indicates that such curves are rare to find. Explori...
nathanlct/reeds-shepp-curves
A simple Python implementation of the Reeds-Shepp curves formulas. (⭐ 158)
On the exponents of free and nearly free projective plane curves
We show that all the possible pairs of integers occur as exponents for free or nearly free irreducible plane curves and line arrangements, by producing only two types of simple families of examples. The topology of the complements of these curves and...
Accretion Disc Time Lag Distributions: Applying CREAM to Simulated AGN Light Curves
Active Galactic Nuclei (AGN) vary in their brightness across all wavelengths. Moreover, longer wavelength ultraviolet - optical continuum light curves appear to be delayed with respect to shorter wavelength light curves. A simple way to model these d...