Results 101 to 110 of about 77,287 (351)
A Unifying Approach to Quaternion Adaptive Filtering: Addressing the Gradient and Convergence [PDF]
, 2013 A novel framework for a unifying treatment of quaternion valued adaptive filtering algorithms is introduced. This is achieved based on a rigorous account of quaternion differentiability, the proposed I-gradient, and the use of augmented quaternion ...
Jahanchahi, Cyrus, Mandic, Danilo P.
core
Autophagy in cancer and protein conformational disorders
FEBS Letters, EarlyView.Autophagy plays a crucial role in numerous biological processes, including protein and organelle quality control, development, immunity, and metabolism. Hence, dysregulation or mutations in autophagy‐related genes have been implicated in a wide range of human diseases.
Sergio Attanasio
wiley +1 more source
Generalized constant ratio surfaces and quaternions
Kuwait Journal of Science, 2017 In this study, we show that the generalized constant ratio surfaces can be obtained by the quaternion product of a unitquaternion and a pure quaternion.
Selahattin Aslan, Yusuf Yayl?
doaj
The maximal and minimal ranks of a quaternion matrix expression with applications
Journal of the Egyptian Mathematical Society, 2013 In this paper, we establish the formulas of the extermal ranks of the quaternion matrix expression f(X1,X2) = C7 − A4X1B4 − A5X2B5 where X1, X2 are variant quaternion matrices subject to quaternion matrix equations A1X1 = C1, A2X1 = C2, A3X1 = C3, X2B1 =
Somayeh Rashedi +2 more
doaj +1 more source
Quaternionic quantum mechanics for N = 1, 2, 4 supersymmetry
Beni-Suef University Journal of Basic and Applied Sciences, 2022 Background Quaternions have emerged as powerful tools in higher-dimensional quantum mechanics as they provide homogeneous four-dimensional structure in quantum field theories, offer compact representations, and incorporate spin naturally.
Seema Rawat, A. S. Rawat
doaj +1 more source
Mathematics, 2020 We study the global asymptotic stability problem with respect to the fractional-order quaternion-valued bidirectional associative memory neural network (FQVBAMNN) models in this paper.
U. Humphries +6 more
semanticscholar +1 more source
A stepwise emergence of evolution in the RNA world
FEBS Letters, EarlyView.How did biological evolution emerge from chemical reactions? This perspective proposes a gradual scenario of self‐organization among RNA molecules, where catalytic feedback on random mixtures plays the central role. Short oligomers cross‐ligate, and self‐assembly enables heritable variations. An event of template‐externalization marks the transition to
Philippe Nghe
wiley +1 more source
Alexandria Engineering Journal, 2020 In this work, we continue our study of autonomous nonlinear dynamical systems with quaternion variables. We present a novel chaotic Chen system with quaternion variables. This system in real form is high (nine) dimensional.
Emad E. Mahmoud +2 more
doaj
FEBS Letters, EarlyView.The enzyme 5‐lipoxygenase (5‐LOX) catalyzes the first step in the biosynthesis of leukotrienes (LTs) involved in inflammatory pathophysiology. After cellular stimulation, 5‐LOX translocates to the nucleus, interacting with the 5‐LOX‐activating protein (FLAP) to form LTA4 from arachidonic acid (AA).
Erik Romp +5 more
wiley +1 more source