Results 31 to 40 of about 88,077 (185)

Invariant and polynomial identities for higher rank matrices

, 2007
We exhibit explicit expressions, in terms of components, of discriminants, determinants, characteristic polynomials and polynomial identities for matrices of higher rank.
Asanov G S, Briand E, Cayley A, Gelfand I M, Gelfand I M, Grassl M, Luque J-G, Lévay P, Pascal E, Rund H, Schläfli L, Tapia V, Tapia V, Tapia V, Victor Tapia, Weyman J   +15 more
core   +1 more source

Unleashing the Power of Machine Learning in Nanomedicine Formulation Development

Advanced Functional Materials, EarlyView.
A random forest machine learning model is able to make predictions on nanoparticle attributes of different nanomedicines (i.e. lipid nanoparticles, liposomes, or PLGA nanoparticles) based on microfluidic formulation parameters. Machine learning models are based on a database of nanoparticle formulations, and models are able to generate unique solutions
Thomas L. Moore, Cristiano Pesce, Antonietta Greco, Claudia Pisante, Greta Avancini, Valentina Di Francesco, Yosi Shamay, Paolo Decuzzi   +7 more
wiley   +1 more source

Supernomial coefficients, polynomial identities and $q$-series

, 1997
$q$-Analogues of the coefficients of $x^a$ in the expansion of $\prod_{j=1}^N (1+x+...+x^j)^{L_j}$ are proposed. Useful properties, such as recursion relations, symmetries and limiting theorems of the ``$q$-supernomial coefficients'' are derived, and a ...
Schilling, Anne, Warnaar, S. Ole
core   +1 more source

Toward Scalable Solutions for Silver‐Based Gas Diffusion Electrode Fabrication for the Electrochemical Conversion of CO2 – A Perspective

Advanced Functional Materials, EarlyView.
In this study, the preparation techniques for silver‐based gas diffusion electrodes used for the electrochemical reduction of carbon dioxide (eCO2R) are systematically reviewed and compared with respect to their scalability. In addition, physics‐based and data‐driven modeling approaches are discussed, and a perspective is given on how modeling can aid ...
Simon Emken, K. Ashoke Raman, Alexander Bauer, Violeta Karyofylli, Eva Jodat, André Karl, Rüdiger‐A. Eichel   +6 more
wiley   +1 more source

The Andrews-Gordon identities and $q$-multinomial coefficients

, 1996
We prove polynomial boson-fermion identities for the generating function of the number of partitions of $n$ of the form $n=\sum_{j=1}^{L-1} j f_j$, with $f_1\leq i-1$, $f_{L-1} \leq i'-1$ and $f_j+f_{j+1}\leq k$.
Warnaar, S. O.
core   +1 more source

Predicting Atomic Charges in MOFs by Topological Charge Equilibration

Advanced Functional Materials, EarlyView.
An atomic charge prediction method is presented that is able to accurately reproduce ab‐initio‐derived reference charges for a large number of metal–organic frameworks. Based on a topological charge equilibration scheme, static charges that fulfill overall neutrality are quickly generated.
Babak Farhadi Jahromi, Sumukh Shankar Sharadaprasad, Rochus Schmid   +2 more
wiley   +1 more source

Weighted Lattice Paths Enumeration by Gaussian Polynomials

, 2017
The Gaussian polynomial in variable $q$ is defined as the $q$-analog of the binomial coefficient. In addition to remarkable implications of these polynomials to abstract algebra, matrix theory and quantum computing, there is also a combinatorial ...
Martinjak, Ivica, Zubac, Ivana
core   +1 more source

Cardiac‐Derived ECM Microspheres for Enhanced hiPSC‐CMs Maturation

Advanced Functional Materials, EarlyView.
Cardiac extracellular matrix microspheres derived from decellularized porcine heart provide a biomimetic 3D microenvironment for human induced pluripotent stem cell–derived cardiomyocytes (hiPSC‐CMs). This platform supports short‐ and long‐term culture, enhances structural organization, and promotes electrophysiological and functional maturation of ...
Jiazhu Xu, Joel Aboagye, Marcella Edwards, Nick Rogozinski, Yufeng Wen, Angello Huerta Gomez, Zui Pan, Ge Zhang, Huaxiao Yang, Yi Hong   +9 more
wiley   +1 more source

The Abel-Zeilberger Algorithm [PDF]

, 2011
We use both Abel's lemma on summation by parts and Zeilberger's algorithm to find recurrence relations for definite summations. The role of Abel's lemma can be extended to the case of linear difference operators with polynomial coefficients.
Chen, William Y. C., Hou, Qing-Hu, Jin, Hai-Tao   +2 more
core  

Identity-Type Functions and Polynomials [PDF]

International Journal of Mathematics and Mathematical Sciences, 2007
For a noncommuting product of functions, similar to convolutions, an “identity-type function” leaving a specific function invariant is defined. It is evaluated for any choice of function on which it acts by solving a functional equation. A closed-form representation for the identity-type function of(1+t)−b(b>0)is obtained, which is a solution of a ...
M. Aslam Chaudhry, Asghar Qadir
openaire   +2 more sources