The deformation is the mathematical concept. The Sylvester-Gallai Theorem is that a finite set of points in the plane have the proper line through any two of them, and it passes through a third point of the set. Moreover, it must be on the same line. P is the the noncollinear finite set. S(P) is the set of connecting lines in P. p∈P, s∈S(P) p and s are perpendicular, so they are not the ordinary line. (s*,p*) is the smallest distance, and s* is in the ordinary line. l∩P={p} l must be the ordinary line. This is the contradiction. l∩S(P) There is the cyclically intersection points (p,x1). x1,・・・xk is on l. Moreover it crosses S. This must be ordinary. You also see the extra dimensions. i lines are determined by P.
Hybrid orbitals are the explanation of molecular geometry and atomic bonding. This is Montgomery's pair correlation conjecture, which is the pair correlation between pairs of zeros of the Riemann zeta function . γ and γ' are imaginary. This is like piling prime numbers . Methane and hydrogen are gasses. C=C is carbon bonding which is in surface. Gasses move like ↑ ↑ ↓. This is called π bond.
This is like prime numbers . 2DSQW is a 2D semiconductor quantum well nanoreceiver. Moreover, MPA is a terahertz (THz) modular phased array transmitter. Each rectangle has the single quantum processor.This is noise-resilient communication with wireless interconnects. To keep Moore's law, the design of wireless interconnect at terahertz (THz) frequencies is reqiured. The conventional wired interconnects have bandwidth limitation and inefficiency. This Modular architecture is beam focusing by generating radiation-concentrated 3D blobs. En,m is electric-field vector, and r is the position vector. This is the characteristics of the beam-focusing pattern generated by the MPA-based transmitter on the receiver plane. The Floquet engineering-based receiver require accurate modeling of the polarization direction at the receiver. The beam-focusing pattern is calculated by summing the total electric field. This wireless interconnects have a flexible alternative.
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