Results 51 to 60 of about 1,485 (264)

Exponential formulas for the Jacobians and Jacobian matrices of analytic maps

Journal of Pure and Applied Algebra, 2002
Let $F=(F_1, F_2, ... F_n)$ be an $n$-tuple of formal power series in $n$ variables of the form $F(z)=z+ O(|z|^2)$. It is known that there exists a unique formal differential operator $A=\sum_{i=1}^n a_i(z)\frac {\p}{\p z_i}$ such that $F(z)=exp (A)z$ as formal series.
openaire   +3 more sources

Bio‐Inspired Bidirectional Winding Origami With Programmable Modular Reconfigurability and Scalability

Advanced Science, EarlyView.
A bio‐inspired bidirectional‐winding origami platform enables scalable and programmable deployable structures. Double axial folding inspired by earwig hindwings and Flasher‐based hybridization create modular multilayer architectures with diverse attainable winding angles under fixed boundary conditions.
Wenyao Zhang, Chunlong Wang, Mingli Liu, Chuang Shi, Hongwei Guo, Rongqiang Liu   +5 more
wiley   +1 more source

Dictionary‐based weak‐form training for noise‐robust series hybrid models with multiplicative unknowns

AIChE Journal, EarlyView.
ABSTRACT Hybrid modeling combines first‐principles equations with a data‐driven subcomponent. Training for the data‐driven part is sensitive to measurement noise when training targets are constructed using pointwise time derivatives. Beyond differentiation errors, hybrid models involve solving an inverse problem to estimate the data‐driven term, which ...
Hangjun Cho, Akshay Kudva, Parth Shah, Dongheon Lee, Joseph Sang‐Il Kwon   +4 more
wiley   +1 more source

Evolutionary dynamics on a regular networked structured and unstructured multi‐population

International Journal of Robust and Nonlinear Control, EarlyView., 2023
Abstract In this paper, we study collective decision‐making in a multi‐population framework, where groups of individuals represent whole populations that interact by means of a regular network. Each group consists of a number of players and every player can choose between two options.
Wouter Baar, Leonardo Stella, Dario Bauso   +2 more
wiley   +1 more source

Fast genus 2 arithmetic based on Theta functions

Journal of Mathematical Cryptology, 2007
In 1986, D. V. Chudnovsky and G. V. Chudnovsky proposed to use formulae coming from Theta functions for the arithmetic in Jacobians of genus 2 curves.
Gaudry P.
doaj   +1 more source

MODULAR BUNDLE ADJUSTMENT FOR PHOTOGRAMMETRIC COMPUTATIONS [PDF]

The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2018
In this paper we investigate how the residuals in bundle adjustment can be split into a composition of simple functions. According to the chain rule, the Jacobian (linearisation) of the residual can be formed as a product of the Jacobians of the ...
N. Börlin, A. Murtiyoso, P. Grussenmeyer, F. Menna, E. Nocerino   +4 more
doaj   +1 more source

A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws

Advanced Intelligent Discovery, EarlyView.
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows, G. Zhang, S. Anand, Z. Chen, J. Lin, A. Desai, S. Martiniani, F. Caravelli   +7 more
wiley   +1 more source

A Review on Recent Trends of Bioinspired Soft Robotics: Actuators, Control Methods, Materials Selection, Sensors, Challenges, and Future Prospects

Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.
This article reviews the current state of bioinspired soft robotics. The article discusses soft actuators, soft sensors, materials selection, and control methods used in bioinspired soft robotics. It also highlights the challenges and future prospects of this field.
Abhirup Sarker, Tamzid Ul Islam, Md. Robiul Islam   +2 more
wiley   +1 more source

On the Importance of the Jacobian of a DNN Observation Operator in Land Data Assimilation

Water Resources Research
A recent study (Shan et al., 2024, https://doi.org/10.1016/j.rse.2024.114167) showed that using a Deep‐Neural‐Network (DNN)‐based observation operator in land data assimilation (DA) does not guarantee improvements in surface soil moisture (WG2). Here, we
Xu Shan, Susan Steele‐Dunne, Sebastian Hahn, Wolfgang Wagner, Bertrand Bonan, Ou Ku   +5 more
doaj   +1 more source

Plectic Jacobians

The Quarterly Journal of Mathematics
ABSTRACT Looking for a geometric framework to study plectic Heegner points, we define a collection of abelian varieties – called plectic Jacobians—using the middle-degree cohomology of quaternionic Shimura varieties (QSVs). The construction is inspired by the definition of Griffiths’ intermediate Jacobians and rests on Nekovář–Scholl’s ...
openaire   +2 more sources