Results 91 to 100 of about 171,915 (143)
Sequence and genome organization of Borna disease virus. [PDF]
Cubitt B, Oldstone C, de la Torre JC.
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I'm presenting the Symmetric Goldbach Partition Theory (SGPT), a framework reformulating Goldbach's conjecture via symmetric distances d around the midpoint m=N/2. Main unconditional results:(1) Exact identity |T(m,z)|^2 = pi(z) + 2·CROSS(m,z), verified to N=10^12;(2) Selberg constant C_S = e^gamma/(2*C_2) = 1.34896, first derived here;(3 ...
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A novel and diverse family of filamentous DNA viruses associated with parasitic wasps. [PDF]
Guinet B +13 more
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This research presents an empirical framework linking additive number theory with non-linear dynamics. Specifically, it explores the relationship between the distribution of Goldbach prime partitions and the synchronization thresholds ($\Gamma$) in networks of coupled oscillators governed by the Kuramoto model.
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The alphaviruses: gene expression, replication, and evolution. [PDF]
Strauss JH, Strauss EG.
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This paper studies the counting function of even numbers expressed as sums of two primes. Using the 1/6N constraint and symmetric sieve method, we prove the discrete monotonicity of the counting function, which provides a new proof idea for Goldbach's Conjecture.
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An Exact Identity for the Twin Prime Counting Function Derived from Minimal Goldbach Partitions
Assuming the Goldbach conjecture, we establish a quantitative connection between the twin prime counting function $\pi_2(x)$ and the distribution of minimal primes in Goldbach decompositions of even integers. For each even integer $k \geq 4$, define $p(k)$ as the smallest prime $p$ such that $k - p$ is also prime.
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A Modular Sieve Balance Model and Computational Verification for Goldbach Partitions
Resumen. En este artículo, presentamos un marco de criba modular estructural en Z/30Z para analizar la distribución y los límites inferiores de las particiones de Goldbach para enteros pares x. Al eliminar las clases de residuos divisibles por 2, 3 y 5, el problema se formula mediante progresiones aritméticas complementarias
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# The Nedelchev Structural Law: Prime Synchronization & Spectral Stability This research dataset and software framework formalize the **Nedelchev Structural Law**, a fundamental discovery linking Additive Number Theory with the synchronization dynamics of non-linear systems.
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