Vega, Frank

In mathematics, the Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part $\frac{1}{2}$. In 1915, Ramanujan proved that under the assumption of the Riemann hypothesis, the inequality $\sigma(n) 5040$ if and only if the Riemann hypothesis is true. Since ...

Vega, Frank

The Goldbach's conjecture has been described as the most difficult problem in the history of Mathematics. This conjecture states that every even integer greater than 2 can be written as the sum of two primes. This is known as the strong Goldbach's conjecture. The conjecture that all odd numbers greater than 7 are the sum of three odd primes is know...

Marcus, Hadar Thompson, Emily Zhou, Yan Bailey, Michael Donaldson, Mitzi M. Stanley, Daphne A. Asiedu, Clement Foulds, Kathryn E. Roederer, Mario Moliva, Juan I.
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Published in
Frontiers in Immunology

Heterologous prime-boost immunization regimens are a common strategy for many vaccines. DNA prime rAd5-GP boost immunization has been demonstrated to protect non-human primates against a lethal challenge of Ebola virus, a pathogen that causes fatal hemorrhagic disease in humans. This protection correlates with antibody responses and is also associa...

Shabanian, Reza Dehestani, Alireza Dadkhah, Minoo Nikdoost, Aliyeh Asbagh, Parvin Akbari Radmehr, Hassan Rahimzadeh, Mitra Oveisi, Soroush Rezaei, Nima Ahani, Manizheh
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Published in
American journal of clinical and experimental immunology

Different organ perturbation and multiple complications might occur after cardiopulmonary bypass (CPB). A variety of solutions might be used for pump priming with different advantages and disadvantages. The advantage of fresh frozen plasma (FFP) inclusion in pump prime has been shown in post-CPB coagulation management. Acquired hypogammaglobulinemi...

Vega, Frank

In 1912, Edmund Landau listed four basic problems about prime numbers in the International Congress of Mathematicians. These problems are now known as Landau's problems. Landau's fourth problem asked whether there are infinitely many primes which are of the form $n^{2}+1$ for some integer $n$. This problem remains open and it is known as the Near-s...

Vega, Frank

In mathematics, the Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part $\frac{1}{2}$. Many consider it to be the most important unsolved problem in pure mathematics. The Robin's inequality consists in $\sigma(n) 5040$ if and only if the Riemann hypot...

Wehrung, Friedrich

It is well known that the real spectrum of any commutative unital ring, and the ℓ-spectrum of any Abelian lattice-ordered group with order-unit, are all completely normal spectral spaces. We prove the following results: (1) Every real spectrum can be embedded, as a spectral subspace, into some ℓ-spectrum. (2) Not every real spectrum is an ℓ-spectru...

Gholampour Dehaki, Maziar Niknam, Sana Bakhshandeh, Hooman Azarfarin, Rasoul
Published in
Artificial organs

Cardiopulmonary bypass (CPB) requirement in infants presents a unique challenge because of the large prime volume-to-blood volume ratio. Packed red blood cells (PRBCs) tend to deteriorate with long-term storage owing to their unphysiological composition and osmolality. Given that blood priming is inevitable in neonates, it is suggested that the met...

Wehrung, Friedrich

A compact topological space X is spectral if it is sober (i.e., every irreducible closed set is the closure of a unique singleton) and the compact open subsets of X form a basis of the topology of X, closed under finite intersections. Theorem. A topological space X is homeomorphic to the spectrum of some countable Abelian ℓ-group with unit (resp., ...

luangchaisri, panuwat changphas, thawhat

Let P 2 &sub / P 1 be a pair of weakly semiprime ideals of an ordered semigroup ( S , · / , &le / ) . Then, the pair P 2 &sub / P 1 is called a weakly semiprime segment of S if ⋂ n &isin / N I n &sube / P 2 for all ideals I of S such that P 2 &sub / I &sub / P 1 . In this paper, we classify weakly semiprime segments of an ordered semigroup in...