Another simple example of a free index is the following equation defining the components of a vector a in terms of a dot product with each of the base vectors ei, (2.2.4)ai=a⋅ei, and clearly the vector a can also be expressed in terms of its components as (2.2.5)a=aiei. A ...
Coulomb forcesIn [3] J. Lekner derived an elegant and very useful summation formula for Coulomb forces. In his derivation he used some powerful identities such as the Poisson-Jacobi identity, the application of which was not at all straightforward. In this note it is shown that Lekner's ...
A fascinating conversation with a true optimistic thinker about the future of tech in the next five years, and the next 50 years. Packy thinks deeply about the root forces driving innovation and progress. Should America Go All In On Ukraine?by David Sacks Sacks is one of the most lucid for...
Convenience: While owning is often more convenient than renting, technology and business model changes have made renting really easy (and, in some cases, even easier than owning). For example, with car sharing services you don’t have to worry about obtaining insurance or finding a parking spot...
forces that favor the unleashing the material interests within Brazil that are predisposed to continue the pillage of Indian natural resources. The territories and lives of those peoples officially included asBraziliansby the state, but actually sentimentally excluded as fellow citizens by the very ...
The above bias situation forces VDSM13 =VDSM17 =0 (IDS =0). Since VDSM21 =VDD, VGSM21 is smaller than the threshold voltage VT. Consider bias on M12-M16-M20. Due to the M12-M16 bias, a large current must flow through M20, which is not possible with VDSM20 =>(M20 is in the ...
Faddeev Watson resummation technique/ A1110 Quantum field theory A2130 Nuclear forcesIn this work we give a detailed mathematical description of how nuclear field theory (NFT) is related to Dyson's boson expansion (DBE) and to the Faddeev-Watson resummation technique (FWT). This is done for ...
To better describe the distribution of two soil layers, a depth coefficient (Δ) is introduced and defined as the ratio of the height of upper-layered soil to the height of the slope. Next, the pseudo-static approach is utilized to characterize the seismic forces acting on the slope. Both...