Results 71 to 80 of about 10,503 (288)
Symmetries and symmetry-breaking in arithmetic graphs. [PDF]
Heliyon, 2023 Shah A, Javaid I, Rehman SU.
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Chen's double sieve, Goldbach's conjecture and the twin prime problem [PDF]
, 2007 Jie Wu
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A modification of the linear sieve, and the count of twin primes [PDF]
, 2021 Jared Duker Lichtman
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, 2023 Abstract The Twin Prime conjecture first proposed by French mathematician Alphonse de Polignac in the year 1846 remains unproven until now. This paper sets out to prove the Twin Prime conjecture by creating a system of equations and finding both a y element of ℕ, (y ϵ ℕ) and a y element of k, (y ϵ k) to find the twin prime values and ...
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Peroxidasin enables melanoma immune escape by inhibiting natural killer cell cytotoxicity
Molecular Oncology, EarlyView.Peroxidasin (PXDN) is secreted by melanoma cells and binds the NK cell receptor NKG2D, thereby suppressing NK cell activation and cytotoxicity. PXDN depletion restores NKG2D signaling and enables effective NK cell–mediated melanoma killing. These findings identify PXDN as a previously unrecognized immune evasion factor and a potential target to improve
Hsu‐Min Sung +17 more
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A Relation between Prime Numbers and Twin Prime Numbers [PDF]
Mathematical and Computational Applications, 2001 Every mathematician has been concerned with prime numbers, and has metwith mysterious surprises about them. Besides intuition, using empirical methods has an important role to findrelations between prime numbers. A relation between any prime numberand any twin prime number has been obtained.
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Molecular Oncology, EarlyView.This study shows that copy number variations (CNVs) can be reliably detected in formalin‐fixed paraffin‐embedded (FFPE) solid cancer samples using ultra‐low‐pass whole‐genome sequencing, provided that key (pre)‐analytical parameters are optimized.
Hanne Goris +10 more
wiley +1 more source
Correlation of the differential expression of PIK3R1 and its spliced variant, p55α, in pan‐cancer
Molecular Oncology, EarlyView.PIK3R1 undergoes alternative splicing to generate the isoforms, p85α and p55α. By combining large patient datasets with laboratory experiments, we show that PIK3R1 spliced variants shape cancer behavior. While tumors lose the protective p85α isoform, p55α is overexpressed, changes linked to poorer survival and more pronounced in African American ...
Ishita Gupta +10 more
wiley +1 more source
Possibility of decryption speed-up by parallel processing in CCA secure hashed ElGamal. [PDF]
PLoS One, 2023 Kim GC, Ji HA, Jong YB, Kim GH, Kim HS.
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Irregularities in the Distribution of Primes and Twin Primes [PDF]
Mathematics of Computation, 1975 The maxima and minima of ⟨ L ( x ) ⟩ − π ( x ) , ⟨ R ( x ) ⟩ − π ( x ) \langle L(x)\rangle - \pi (x),\langle R(x)\rangle - \pi (x) , and ⟨ L ...
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