Results 51 to 60 of about 5,990,152 (267)
Encapsulins are protein nanocompartments that play an important role in iron storage. In the Myxococcus xanthus encapsulin system, two cargo proteins called EncB and EncC contribute to iron mineralization. Here, we show that EncB and EncC generate iron‐containing minerals with distinct chemical compositions, suggesting that the composition of stored ...
Harry B. McDowell +2 more
wiley +1 more source
The Effect of the Density of Square-Free ωp-numbers on the Bounds of Beurling Counting Function
Primitive weird numbers are weird numbers which are not a multiple of any smaller weird numbers. The goal of this work is to use a square-free primitive weird number x=ab where b be an increasing sequence of prime numbers such that q1 is greater than ∏
Sarah Al-Ebrahimy, Eman F. Mohommed
doaj +1 more source
The theorem below gives another way of computing the distribution prime counting function without using recursion and the values of Prime ...
openaire +2 more sources
Remarks on Ramanujan’s inequality concerning the prime counting function [PDF]
Abstract In this paper we investigate Ramanujan’s inequality concerning the prime counting function, asserting that π (
openaire +4 more sources
Mycobacterial 3‐methylcrotonyl‐CoA carboxylase uses a mobile biotin‐carrying domain to shuttle a carboxyl group between two catalytic sites, enabling carboxylation of 3‐methylcrotonyl‐CoA during leucine breakdown. Cryo‐electron microscopy captures the carrier at both sites and reveals an inward loop movement that may prevent futile rebinding to the ...
Ajit Yadav +2 more
wiley +1 more source
A new theorem on the prime-counting function [PDF]
For $x>0$ let $π(x)$ denote the number of primes not exceeding $x$. For integers $a$ and $m>0$, we determine when there is an integer $n>1$ with $π(n)=(n+a)/m$. In particular, we show that for any integers $m>2$ and $a\le\lceil e^{m-1}/(m-1)\rceil$ there is an integer $n>1$ with $π(n)=(n+a)/m$.
openaire +2 more sources
Synechocystis strains deficient in succinate dehydrogenase (SDH) secrete more succinate than the WT under dark anaerobic conditions, supporting that SDH then primarily acts as SDH, not as a fumarate reductase. L‐aspartate oxidase (Laspo) from Synechocystis is functional under anaerobic conditions, reducing fumarate to succinate.
Kateryna Kukil +3 more
wiley +1 more source
Some formulae which match with the prime counting function infinitely often
International audienceRecently K. Gaitanas gave a formula which matches with the counting prime function for an infinite set of values of its argument.
Saouter, Yannick +2 more
core +1 more source
Metastatic niche shaped by host factors influences disseminated cancer cell fate
Metastasis is shaped not only by cancer cells but also by the environments they encounter. This review explores how factors such as aging, diet, the microbiome, lifestyle, and environmental exposures remodel organ‐specific niches in the lung, liver, bone, and brain, influencing where metastatic cells survive, remain dormant, or grow, and ultimately ...
Gwennan Delyth Ward +2 more
wiley +1 more source
A heuristic formula for the prime counting function
Using heuristic methods we create a simple but exact formula for the prime counting function. Then we make an asymptotic approximation of this new formula for the prime counting function using two distributions \(H(z)\) and \(h(z)\), which are defined ...
Al-Mouid Mohammed Hasibul Haque
core +2 more sources

