Results 71 to 80 of about 1,802,459 (260)
The number of rational points of some classes of algebraic varieties over finite fields
Open MathematicsLet Fq{{\mathbb{F}}}_{q} be the finite field of characteristic pp and Fq*=Fq\{0}{{\mathbb{F}}}_{q}^{* }\left={{\mathbb{F}}}_{q}\backslash \left\{0\right\}.
Zhu Guangyan +3 more
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On a Fractal Representation of the Density of Primes
Recoletos Multidisciplinary Research Journal, 2014 The number of primes less or equal to a real number x, π(x), has been approximated in the past by the reciprocal of the logarithm of the number x. Such an approximation works well when x is large but it can be poor when x is small.
Joy Mirasol, Efren O. Barabat
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FEBS Letters, EarlyView.Plasma membranes contain dynamic nanoscale domains that organize lipids and receptors. Because viruses operate at similar scales, this architecture shapes early infection steps, including attachment, receptor engagement, and entry. Using influenza A virus and HIV‐1 as examples, we highlight how receptor nanoclusters, multivalent glycan interactions ...
Jan Schlegel, Christian Sieben
wiley +1 more source
Pseudo-prime number simulation and its application for security purpose
MATEC Web of Conferences, 2018 Many public cryptography schemes rely on the use of prime numbers like for encryption and decryption. A prime number is one number that is widely used and large and consists of hundreds of digits, so it takes time to test whether the numbers are prime or
Rahim Robbi +10 more
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Molecular Oncology, EarlyView.ERRFI1, a neural crest (NC)‐associated gene, was upregulated in melanoma and negatively correlated with the expression of melanocytic differentiation markers and the susceptibility of melanoma cells toward BRAF inhibitors (BRAFi). Knocking down ERRFI1 significantly increased the sensitivity of melanoma cells to BRAFi.
Nina Wang +8 more
wiley +1 more source
Molecular Oncology, EarlyView.Development of therapies targeting cancer‐associated fibroblasts (CAFs) necessitates preclinical model systems that faithfully represent CAF–tumor biology. We established an in vitro coculture system of patient‐derived pancreatic CAFs and tumor cell lines and demonstrated its recapitulation of primary CAF–tumor biology with single‐cell transcriptomics ...
Elysia Saputra +10 more
wiley +1 more source
Holographic realization of the prime number quantum potential. [PDF]
PNAS Nexus, 2023 Cassettari D, Mussardo G, Trombettoni A.
europepmc +1 more source
Exploiting metabolic adaptations to overcome dabrafenib treatment resistance in melanoma cells
Molecular Oncology, EarlyView.We show that dabrafenib‐resistant melanoma cells undergo mitochondrial remodeling, leading to elevated respiration and ROS production balanced by stronger antioxidant defenses. This altered redox state promotes survival despite mitochondrial damage but renders resistant cells highly vulnerable to ROS‐inducing compounds such as PEITC, highlighting redox
Silvia Eller +17 more
wiley +1 more source
Weighted Prime Number Theorem on Arithmetic Progressions with Refinements
MathematicsWe present an extension of the Dirichlet-type prime number theorem to weighted counting functions, the importance of which has recently been recognized for formulating Chebyshev’s bias.
Koji Shimada, Shin-ya Koyama
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Fragile Watermark in Medical Image Based on Prime Number Distribution Theory. [PDF]
J Digit Imaging, 2021 Wei X, Zhang W, Yang B, Wang J, Xia Z.
europepmc +1 more source