Deception is a central component of the personality 'Dark Triad' (Machiavellianism, Psychopathy and Narcissism). However, whether individuals exhibiting high scores on Dark Triad measures have a heightened deceptive ability has received little experimental attention. The present study tested whether the ability to lie effectively, and to detect lies told by others, was related to Dark Triad, Li...

The P-positions of the well-known 2-pile take-away game of Wythoff Nim lie on two ‘beams’ of slope √ 5+1 2 and √ 5−1 2 respectively. We study extensions to this game where a player may also remove simultaneously pt tokens from either of the piles and qt from the other, where p < q are given positive integers and where t ranges over the positive integers. We prove that for certain pairs (p, q) t...

The study of pseudogroups and geometric structures on manifolds associated to them was initiated by Sophus Lie and Élie Cartan. In comparing two such structures, Cartan was led to formulate the equivalence problem and solved it in the analytic case using the Cartan-Kâhler theorem (see [2] and [3]). In the early 1950's, Spencer elaborated a program to study structures on manifolds, in particular...

Recent reports of successful fMRI-based discrimination between lie and truth in single subjects raised the interest of prospective users and a public concern about the potential scope of this technology. The increased scrutiny highlighted the lack of controlled "real life", i.e. prospective clinical trials of this technology that conform to the common standards of medical device development. Th...

We introduce a notion of Jacobi-Bernoulli cohomology associated to a semisimplicial Lie algebra (SELA). For an algebraic scheme X over C, we construct a tangent SELA TX and show that the Jacobi-Bernoulli cohomology of TX is related to infinitesimal deformations of X.

Commentary We are thankful to Levine and Bond (2014) for engaging in a much-needed discussion about the accuracy of human lie detection. As we understand their Commentary, they make two primary, and related, arguments. Their first argument is that the significant difference that we reported (ten Brinke, Stimson, & Carney, 2014) between conscious, direct and unconscious, indirect truth/lie discr...

In their efforts to enhance the safety and security of citizens, governments and law enforcement agencies look to scientists and engineers to produce modern methods for preventing, detecting, and prosecuting criminal activities. Whole body scanners, lie detection technologies, biometrics, etc., are all being developed for incorporation into the criminal justice apparatus. Yet despite their purp...

‎‎we exhibit an explicit construction for the second cohomology group‎ ‎$h^2(l‎, ‎a)$ for a lie ring $l$ and a trivial $l$-module $a$‎. ‎we show how the elements of $h^2(l‎, ‎a)$ correspond one-to-one to the‎ ‎equivalence classes of central extensions of $l$ by $a$‎, ‎where $a$‎ ‎now is considered as an abelian lie ring‎. ‎for a finite lie‎ ‎ring $l$ we also show that $h^2(l‎, ‎c^*) cong m(l)$‎...