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...
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 ...
As an example, xi denotes the vector coordinate of the center of mass of particle i, and xiα denotes the α component of xi. Remember that the Einstein summation convention applies over repeated Greek indices; however, this summation is not implied over repeated Roman indices, but will be ...
For example, as we will do in section 7, the axis of the leading C/A jet in the event can be used to define the two hemispheres. We then run mMDT on each hemisphere and compute our observable on each of the groomed hemispheres.2 We then require that the larger value of the ...
(ii) above withand. Observe that the assumption on the growth of the derivatives ofq(x) implies that this function can be analytically extended to the entire complex plane. The example, which is 1-periodic and has expansion zero, shows that this assumption is sharp. Variants of this ...
“The Church remains loyal to the state, but God’s commandment to fulfill the task of salvation in any situation and under any circumstances is above this loyalty... If the authority forces Orthodox believers to apostatize from Christ and His Church and to commit sinful and spiritually ...
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 ...