Results 51 to 60 of about 2,275,501 (283)

On the Largest Prime factor of the k-generalized Lucas numbers [PDF]

, 2023
Let $(L_n^{(k)})_{n\geq 2-k}$ be the sequence of $k$--generalized Lucas numbers for some fixed integer $k\ge 2$ whose first $k$ terms are $0,\ldots,0,2,1$ and each term afterwards is the sum of the preceding $k$ terms.
Batte, Herbert, Luca, Florian
core   +1 more source

Prime number generation using memetic programming [PDF]

Artificial Life and Robotics, 2011
For centuries, the study of prime numbers has been regarded as a subject of pure mathematics in number theory. Recently, this vision has changed and the importance of prime numbers has increased rapidly, especially in information technology, e.g., public key cryptography algorithms, hash tables, and pseudo-random number generators.
Emad Mabrouk, Julio César Hernández Castro, Masao Fukushima   +2 more
openaire   +2 more sources

SEQUENCES OF NUMBERS INVOLVED IN UNSOLVED PROBLEMS [PDF]

, 2000
Over 300 sequences and many unsolved problems and conjectures related to them are presented ...
SMARANDACHE, FLORENTIN
core   +1 more source

Accurate and noninvasive prostate cancer detection using plasma‐derived extracellular vesicle RNA

FEBS Open Bio, EarlyView.
Plasma extracellular vesicles were captured with WGA‐conjugated magnetic beads and profiled for RNA biomarkers. A three‐RNA panel (NM_024955, NR_047469, and NR_002564) distinguished prostate cancer from healthy controls and benign prostatic hyperplasia, supporting a simple, noninvasive approach to improve prostate cancer detection.
Hanping Wei, Haoran Wu, Wei Feng
wiley   +1 more source

HYBRIDIZING HENSEL’S LEMMA, FUNDAMENTAL THEOREM OF ARITHMETIC, AND CHINESE REMAINDER THEOREM FOR SOLVING POLYNOMIAL CONGRUENCES

Barekeng
Polynomial congruence can be solved by applying Hensel’s Lemma. However, Hensel’s Lemma itself does not apply to solving generalized polynomial congruences. The purpose of this research is to determine the recursive formula for the solution of polynomial
Eka Oktaviansyah, Edi Kurniadi, Dianne Amor Kusuma   +2 more
doaj   +1 more source

IGF2 knockout reduces but does not abolish osteosarcoma growth in vitro and in vivo

FEBS Open Bio, EarlyView.
To test whether endogenous IGF2 promotes osteosarcoma growth, IGF2 was knocked out in Saos2 cells via CRISPR‐Cas9. KO cells showed reduced proliferation in vitro, and knockout xenografts in mice reached only ~25% of wild‐type tumor volume. Insulin‐like growth factor 2 (IGF2) is implicated in osteosarcoma, but direct functional evidence of its role is ...
Shun Yao, Marco Archetti
wiley   +1 more source

Natural Numbers Generalized Parity, and the Collatz Algorithm

Journal of Mathematical Sciences and Modelling
An extended definition of the even-odd property for natural numbers is used to highlightprime numbers in their classification. For a given natural number $M$ and a chosen prime$P$, one can say that $PM$ is $P$-even-like, and $PM+K$, with$K = [1, 2 ...
Ramon Carbó-Dorca
doaj   +1 more source

Bounds on the number of generators of prime ideals

American Journal of Mathematics
Abstract: Let $S$ be a polynomial ring over any field $\Bbbk$, and let $P\subseteq S$ be a non-degenerate homogeneous prime ideal of height $h$. When $\Bbbk$ is algebraically closed, a classical result attributed to Castel\-nuovo establishes an upper bound on the number of linearly independent quadrics contained in $P$ which only depends on $h$.
Caviglia G., de Stefani A.
openaire   +2 more sources

Determinants of undergraduate bioscience engagement: Validating attendance barriers and classroom spatial behaviour across institutions

FEBS Open Bio, EarlyView.
Student engagement extends beyond simple attendance. Across 891 bioscience students from three universities, attendance behaviour was associated mainly with structural influences, whereas classroom spatial behaviour reflected affective and sensory factors.
Nigel Page, Rachel J. Hunt, Lauren J. Albee, Daniel Berwick, Alison Snape   +4 more
wiley   +1 more source

On Functional Independence of Beurling Zeta-Functions

Axioms
Let P be a system of generalized prime numbers, and NP the corresponding system of generalized integers.
Antanas Laurinčikas, Darius Šiaučiūnas   +1 more
doaj   +1 more source