Newly motivated by the G-dynamics as a part of the quantum covariant Hamiltonian system (QCHS), we try to use it to untangle the complex affairs of the three closely related conjectures: Riemann hypothesis (RH), Berry-Keating conjecture (BKC) and Hilbert-P'{o}lya conjecture (HPC). Truly, a suitable solution $\zeta \left( 1/2+\sqrt{-1}{{w}^{\left( q \right)}} \right)=0$ holds for RH, it means that such an unbounded self-adjoint operator indeed exists, and it's the G-dynamics $\hat{w}^{(cl)}$ as a strong candidate for such self-adjoint operator which described the geometric frequency, exactly.

In this note, we comprehensively sort out the theoretical system between the generalized structural Poisson bracket(GSPB) theory for the generalized covariant Hamilton system (GCHS) and the quantum covariant Poisson bracket (QCPB) theory for quantum covariant Hamiltonian system (QCHS).

In this note, we comprehensively sort out the theoretical system between the generalized structural Poisson bracket(GSPB) theory for the generalized covariant Hamilton system (GCHS) and the quantum covariant Poisson bracket (QCPB) theory for quantum covariant Hamiltonian system (QCHS).

Since Hilbert-P'{o}lya conjecture has been solved by the G-dynamics ${{\widehat{w}}^{\left( cl \right)}}$ as a Hermitian frequency operator, the Riemann hypothesis as a corollary of Hilbert-P'{o}lya theorem is proven as well, then we have explicitly asserted the physical essence of Riemann hypothesis expressed by $$\zeta \left( \rho \right)=\zeta \left( \varrho/\hbar \right)=0$$ where the non-trivial zeros $\rho =1/2+\sqrt{-1}{{w}^{\left( q \right)}}$. Furthermore, we have geometrically proven Einstein tensor such that ${{G}_{ij}}=\zeta \left( \rho\right)=0$, and ${w}^{\left( q \right)}=R$ is the scalar curvature.

Since Hilbert-P'{o}lya conjecture has been solved by the G-dynamics ${{\widehat{w}}^{\left( cl \right)}}$ as a Hermitian frequency operator, the Riemann hypothesis as a corollary of Hilbert-P'{o}lya theorem is proven as well, then we have explicitly asserted the physical essence of Riemann hypothesis expressed by $$\zeta \left( \rho \right)=\zeta \left( \varrho/\hbar \right)=0$$ where the non-trivial zeros $\rho =1/2+\sqrt{-1}{{w}^{\left( q \right)}}$. Furthermore, we have geometrically proven Einstein tensor such that ${{G}_{ij}}=\zeta \left( \rho\right)=0$, and ${w}^{\left( q \right)}=R$ is the scalar curvature.

Newly motivated by the G-dynamics as a part of the quantum covariant Hamiltonian system (QCHS), we try to use it to untangle the complex affairs of the three closely related conjectures: Riemann hypothesis (RH), Berry-Keating conjecture (BKC) and Hilbert-P'{o}lya conjecture (HPC). Truly, a suitable solution $\zeta \left( 1/2+\sqrt{-1}{{w}^{\left( q \right)}} \right)=0$ holds for RH, it means that such an unbounded self-adjoint operator indeed exists, and it's the G-dynamics $\hat{w}^{(cl)}$ as a strong candidate for such self-adjoint operator which described the geometric frequency, exactly.

Whole exome sequencing has proven to be a powerful tool for understanding the genetic architecture of human disease. Here we apply it to more than 2,500 simplex families, each having a child with an autistic spectrum disorder. By comparing affected to unaffected siblings, we show that 13% of de novo missense mutations and 43% of de novo likely gene-disrupting (LGD) mutations contribute to 12% and 9% of diagnoses, respectively. Including copy number variants, coding de novo mutations contribute to about 30% of all simplex and 45% of female diagnoses. Almost all LGD mutations occur opposite wild-type alleles. LGD targets in affected females significantly overlap the targets in males of lower intelligence quotient (IQ), but neither overlaps significantly with targets in males of higher IQ. We estimate that LGD mutation in about 400 genes can contribute to the joint class of affected females and males of lower IQ, with an overlapping and similar number of genes vulnerable to contributory missense mutation. LGD targets in the joint class overlap with published targets for intellectual disability and schizophrenia, and are enriched for chromatin modifiers, FMRP-associated genes and embryonically expressed genes. Most of the significance for the latter comes from affected females.PLEASE NOTE: Additional data on these subjects, unrelated to this publication exist in other NDAR Studies. These data include realigned BAM files, unfiltered SNV/InDel variant calls (made by GATK and FreeBayes), and CNVs. Please see this news item for more details: https://ndar.nih.gov/ndarpublicweb/aboutNDAR.html#news_item_201

SACR-ADV-3D3C remaps the outputs of SACRCORR for cross-wind range-height indicator (CW-RHI) scans to a Cartesian grid and reports reflectivity CFAD and best estimate domain averaged cloud fraction. CW-RHI scans consist of multiple consecutive horizon-to-horizon scans (elevations ~10-170°) (Kollias et al. 2014). The CW-RHI scan strategy is typically continuously operated for 25-55 min at the ARM sites. The major inputs of this VAP are generated by the SACRCORR VAP. They include: Reflectivity corrected for gas attenuation, Unfolded mean Doppler velocity, spectral width and linear depolarization ratio, all of which are free of noise, insects and second trip echo and all of which are in native radar polar coordinates. An additional input is the horizontal wind speed from the nearest (in time) sounding. These 2-D grid slices are used to estimate a reflectivity CFAD. This CFAD contains information for each height about the distribution of reflectivity observed for the duration of the scan strategy (e.g. 19 minutes). A profile of maximum observable domain is reported for user guidance. For completeness, the time coordinate is converted to distance using the sounding horizontal wind speed to provide an estimate of x-y-z cloud fraction. The 2-D grids are also used as an input to a 3-D gridding technique. This technique interpolates or extrapolates the 2-D grids in time. The final output is a single NetCDF file containing all aforementioned corrected radar moments remapped on a 3-D Cartesian grid, the SACR reflectivity CFAD, a profile of best estimate cloud fraction, a profile of maximum observable x-domain size (xmax), a profile time to horizontal distance estimate and a profile of minimum observable reflectivity (dBZmin).