Results 101 to 110 of about 988,651 (350)
Herein, a comprehensive framework that enabled the optimization of colloidal solubility within a high‐dimensional parameter space and study of reversible assembly processes is developed. This data‐driven workflow integrated innovations including the robotic platform for automated AuNPs functionalization, machine learning for predicting and revealing ...
Yueyang Gao+5 more
wiley +1 more source
A Generalization of the Hopf-Cole Transformation
A generalization of the Hopf-Cole transformation and its relation to the Burgers equation of integer order and the diffusion equation with quadratic nonlinearity are discussed. The explicit form of a particular analytical solution is presented.
Paulius Miškinis
doaj +1 more source
Habit-DisHabit Design with a Quadratic Equation: A Better Model of the Hemodynamic Changes in Preschoolers during the Dimension Change Card Sorting Task. [PDF]
Wu D+5 more
europepmc +1 more source
Backward stochastic partial differential equations with quadratic growth [PDF]
This paper is concerned with the existence and uniqueness of weak solutions to the Cauchy-Dirichlet problem of backward stochastic partial differential equations (BSPDEs) with nonhomogeneous terms of quadratic growth in both the gradient of the first unknown and the second unknown.
arxiv
Electric control of magnetic tunnel junctions offers a path to drastically reduce the energy requirements of the device. Electric field control of magnetization can be realized in a multitude of ways. These mechanisms can be integrated into existing spintronic devices to further reduce the operational energy.
Will Echtenkamp+7 more
wiley +1 more source
Generalized Stability of Euler-Lagrange Quadratic Functional Equation
The main goal of this paper is the investigation of the general solution and the generalized Hyers-Ulam stability theorem of the following Euler-Lagrange type quadratic functional equation f(ax+by)+af(x-by)=(a+1)b2f(y)+a(a+1)f(x), in (β,p)-Banach space ...
Hark-Mahn Kim, Min-Young Kim
doaj +1 more source
A Simple Proof of the Quadratic Formula [PDF]
This article provides a simple proof of the quadratic formula, which also produces an efficient and natural method for solving general quadratic equations. The derivation is computationally light and conceptually natural, and has the potential to demystify quadratic equations for students worldwide.
arxiv
3D Concrete Printing of Triply Periodic Minimum Surfaces for Enhanced Carbon Capture and Storage
A 3D‐printable and carbon‐capturing concrete is developed by replacing cement with diatomaceous earth (DE), which enhances rheology, provides hierarchical porosity, and serves as a nucleation site for carbonation. Maximum absorption of 488.7 gCO2 kgcement−1 is achieved in 7 days, a 142% increase over conventional concrete, and the triply periodic ...
Kun‐Hao Yu+9 more
wiley +1 more source
Here we constructively classify quadratic $d$-numbers: algebraic integers in quadratic number fields generating Galois-invariant ideals. We prove the subset thereof maximal among their Galois conjugates in absolute value is discrete in $\mathbb{R}$. Our classification provides a characterization of those real quadratic fields containing a unit of norm -
arxiv
Gelatin methacryloyl (GelMA) granular hydrogel scaffolds (GHS) are fabricated using a generalized two‐step photocrosslinking approach to yield stable (non‐dissolving) microgels suitable for in situ covalent assembly under physiological conditions. A phase diagram is developed to define the interplay between individual microgel stability and scaffold ...
Yuanhui Xiang+4 more
wiley +1 more source