Integral invariants in maximally supersymmetric Yang-Mills theories are discussed in spacetime dimensions 4 ≤ D ≤ 10 for SU(k) gauge groups. It is shown that, in addition to the action, there are three special invariants in all dimensions. Two of these, the singleand double-trace F 4 invariants, are of Chern-Simons type in D = 9, 10 and BPS type in D ≤ 8, while the third, the double-trace of tw...

5 Thalassinoides sp. 19 INTRODUCTION 6 Genus Trichichnus Frey, n. gen. 20 Purpose and scope 6 Trichichnus linearis Frey, n. sp. 20 Stratigraphy 6 Genus Zoophycos Massalongo, 1855 22 Correlation of Fort Hays exposures 9 Zoophycos sp. A 22 Petrology 9 Zoophycos sp. B 22 Paleontology 9 Miscellaneous burrows 23 Acknowledgments 10 Arthrophycus-like burrows 23 TRACE FOSSILS (ICHNOLOGY) 10 Scaphopod-s...

Experience leaves a trace in the nervous system through plasticity. However, the exact meaning of the mnesic trace is poorly defined in current literature. This article provides a historical review of the term trace in neuroscience and psychoanalysis literature, to highlight two relevant aspects: the diachronic and the semantic dimensions. There has been a general interest in diachrony, or a fo...

We show that the recently proposed matrix model for M theory obeys the cyclic trace assumptions underlying generalized quantum or trace dynamics. This permits a verification of supersymmetry as an operator calculation, and a calculation of the supercharge density algebra by using the generalized Poisson bracket, in a basis-independent manner that makes no reference to individual matrix elements...

An explicit description of the trace Frobenius is given for any elliptic curve over ℚ form y² = x³ + dx This leads to an algorithm which computes at a cost one modular exponentiation.

a host of nutrients are needed by cattle to support functions associated with life, and to grow, reproduce, and nourish their offspring (i.e., produce milk). a vast amount of resources have been expended to quantify the amounts of specific nutrients needed to perform these function so that economically efficient diets can be formulated. feeding diets that provide adequate, but not excessive, am...

This article is an introduction to the Petersson trace formula and Kuznetsov trace formula, both of which are now important, standard techniques in analytic number theory. To illustrate their applications to modular forms, we will explain their role in a proof of subconvexity bounds for Rankin-Selberg L-functions L(s, f ⊗ g) on the critical line σ = 1/2, where here and throughout, we write s = ...

We provide a denotational trace semantics for processes with synchronous communication and a form of weakly fair parallelism. The semantics is fully abstract: processes have the same trace sets if and only if their communication behaviors are identical in all contexts. The model can easily be adapted for asynchronously communicating processes, or for shared-memory parallel programs. We also pro...