Results 31 to 40 of about 105,007 (237)
The Fibonacci sequence and the nature of mathematical discovery: A semiotic perspective
This study looks at the relation between mathematical discovery and semiosis, focusing on the famous Fibonacci sequence. The serendipitous discovery of this sequence as the answer to a puzzle designed by Italian mathematician Leonardo Fibonacci to ...
Marcel Danesi
doaj +1 more source
Chern classes of Schubert cells and varieties
We give explicit formulas for the Chern-Schwartz-MacPherson classes of all Schubert varieties in the Grassmannian of $d$-planes in a vector space, and conjecture that these classes are effective.
Aluffi, Paolo +1 more
core +4 more sources
Time and Architecture. The aspects that involve its dichotomous and synchronic relationship (De Fusco, 2019)1, make it a constantly present topic in the architectural debate, intrinsic to any disciplinary aspect.
Francesca Giglio
doaj +1 more source
On the Leonardo quaternions sequence
In the present work, a new sequence of quaternions related to the Leonardo numbers -- named the Leonardo quaternions sequence -- is defined and studied. Binet's formula and certain sum and binomial-sum identities, some of which derived from the mentioned formula, are established.
Patrícia Beites +1 more
openaire +2 more sources
A Note on Bi-Periodic Leonardo Sequence
In this work, we define a new generalization of the Leonardo sequence by the recurrence relation $GLe_n=aGLe_{n-1}+GLe_{n-2}+a$ (for even $n$) and $GLe_n=bGLe_{n-1}+GLe_{n-2}+b$ (for odd $n$) with the initial conditions $GLe_0=2a-1$ and $GLe_1=2ab-1$, where $a$ and $b$ are real nonzero numbers.
Catarino, Paula M. M. +1 more
openaire +2 more sources
Combining PTEN protein assessment and transcriptomic profiling of prostate tumors, we uncovered a network enriched in senescence and extracellular matrix (ECM) programs associated with PTEN loss and conserved in a mouse model. We show that PTEN‐deficient cells trigger paracrine remodeling of the surrounding stroma and this information could help ...
Ivana Rondon‐Lorefice +16 more
wiley +1 more source
Pell Leonardo numbers and their matrix representations
In this study, we investigate Pell numbers and Leonardo numbers and describe a new third-order number sequence entitled Pell Leonardo numbers. We then construct some identities, including the Binet formula, generating function, exponential generating ...
Çağla Çelemoğlu
doaj +1 more source
Plasmonic photocatalytic ammonia decomposition occurs at near‐room temperature on a plasmonic Au nanocone array under visible light illumination. The nanostructure efficiently harnesses plasmonic modes, leading to increased reaction rates upon plasmon decay.
Thanh‐Lam Bui +17 more
wiley +1 more source
Edible electronics needs integrated logic circuits for computation and control. This work presents a potentially edible printed chitosan‐gated transistor with a design optimized for integration in circuits. Its implementation in integrated logic gates and circuits operating at low voltage (0.7 V) is demonstrated, as well as the compatibility with an ...
Giulia Coco +8 more
wiley +1 more source
The pyrene and ether groups are incorporated into the covalent triazine polymer (CTP) structure. The synergistic effect of the two functional groups endows CTP with better electron transfer, light absorption, and oxygen activation properties. An impressive apparent quantum yield (13.2% @420 nm) and a remarkable solar‐to‐chemical conversion efficiency ...
Chong Wang +10 more
wiley +1 more source

