Results 71 to 80 of about 315,776 (265)

QUANTUM HAMILTONIANS AND PRIME NUMBERS [PDF]

open access: yesModern Physics Letters A, 2003
A short review of Schrödinger Hamiltonians for which the spectral problem has been related in the literature to the distribution of the prime numbers is presented here. We notice a possible connection between prime numbers and centrifugal inversions in black holes and suggest that this remarkable link could be directly studied within trapped Bose ...
openaire   +3 more sources

Epigenetic blind spots – the role of DNA methylation dynamics in stem cell‐based models of embryogenesis

open access: yesFEBS Letters, EarlyView.
Embryo‐like structures (stembryos) are an innovative tool, but they are hindered by experimental variability and limited developmental potential. DNA methylation is crucial for mammalian development, but its status in stembryo models is poorly characterized.
Sara Canil   +4 more
wiley   +1 more source

Septin 9 PB domains coordinate centrosome positioning and microtubule acetylation to control epithelial polarity

open access: yesFEBS Letters, EarlyView.
Septin 9 polybasic domains couple phosphoinositide‐rich membrane binding to centrosome positioning, Golgi organization, and microtubule acetylation to control epithelial polarity. Their loss disrupts this axis, causing centrosome mispositioning, Golgi fragmentation, reduced microtubule acetylation, and polarity inversion via upregulation of the ...
Ting ting Cai   +4 more
wiley   +1 more source

Multiscale Sieve for Smart Prime Generation and Application in Info-Security, IoT and Blockchain

open access: yesApplied Sciences
The huge computational cost required to test whether a number is prime and the inefficiency of the known sieving algorithms for extremely large inputs have posed significant challenges in computational number theory.
Gerardo Iovane   +2 more
doaj   +1 more source

Formula for primes, twinprimes, number of primes and number of twinprimes [PDF]

open access: yesProceedings Mathematical Sciences, 1983
Assuming that the first n primes are known the author gives a formula for calculating \(p_{n+1}\), the \((n+1)st\) prime. Formulas are also given for the smallest twin prime (if any) in the interval \((p_ n,p^ 2_ n)\) and for both the number of primes and twin primes not exceeding x if x is between \(p_ n\) and \(p^ 2_ n\).
openaire   +2 more sources

Rab14 regulates the transport of human papillomavirus to the trans‐Golgi network for infectious cell entry

open access: yesFEBS Letters, EarlyView.
This study reveals that the small GTPase Rab14 is necessary for human papillomavirus (HPV) infection and plays an essential role in the transport of virions to the trans‐Golgi network (TGN). HPV in the early endosome (EE), which harbors GTP‐bound Rab14, is transported to the TGN through the switch of Rab14 from its GTP‐bound to GDP‐bound form.
Yoshiyuki Ishii, Iwao Kukimoto
wiley   +1 more source

Degradation mechanism of the von Willebrand factor A2 domain by nattokinase

open access: yesFEBS Letters, EarlyView.
Nattokinase, a natto‐derived protease, exhibits potent antithrombotic effects. This study demonstrates that nattokinase directly cleaves the von Willebrand factor (vWF) A2 domain in vitro. Unlike the native regulator ADAMTS13, nattokinase degrades folded vWF independently of shear stress.
Ryuichi Hyakumoto   +3 more
wiley   +1 more source

Modulation of Homer1 EVH1 domain internal dynamics by putative autism‐associated mutations

open access: yesFEBS Letters, EarlyView.
The putative autism‐associated M65I and S97L variants of the EVH1 domain of the postsynaptic scaffold protein Homer1 do not exhibit substantial changes in their overall structure or partner binding. Both of them, but especially the M65I variant, show altered internal dynamics relative to the wild‐type domain on the μs‐ms timescale, indicated by the ...
Fanni Farkas   +6 more
wiley   +1 more source

On a Fractal Representation of the Density of Primes

open access: yesRecoletos 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
doaj   +1 more source

Holographic realization of the prime number quantum potential. [PDF]

open access: yesPNAS Nexus, 2023
Cassettari D, Mussardo G, Trombettoni A.
europepmc   +1 more source

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