On the Internet large service providers tend to control the digital identities of users. These defacto identity authorities wield significant power over users, compelling them to comply with non-negotiable terms, before access to services is granted. In doing so, users expose themselves to privacy risks, manipulation and exploitation via direct marketing. Against this backdrop, the emerging are...

The anterior part of the human intraparietal sulcus is known to be involved in visually guided grasping. This region is also active during the observation of object manipulation by others. Here, we explore the nature of action representation using functional magnetic resonance imaging (fMRI). Fourteen subjects observed video clips showing object manipulation by the right or left hand. The clips...

Background Malignant hyperthermia (MH), central core disease (CCD), exertional heat stroke (EHS) and late-onset axial myopathy have been attributed to mutations in ryanodine receptor type 1 (RYR1). The RyR1 protein is over 5000 amino acid residues long, making manipulation of the mammalian gene difficult. The ryanodine receptor in Caenorhabditis elegans is UNC-68, which has 40% amino acid ident...

We prove, by simple manipulation of commutators, two noncommutative generalizations of the Cauchy–Binet formula for the determinant of a product. As special cases we obtain elementary proofs of the Capelli identity from classical invariant theory and of Turnbull’s Capelli-type identities for symmetric and antisymmetric matrices.

We prove, by simple manipulation of commutators, two noncommutative generalizations of the Cauchy–Binet formula for the determinant of a product. As special cases we obtain elementary proofs of the Capelli identity from classical invariant theory and of Turnbull’s Capelli-type identities for symmetric and antisymmetric matrices.

As developers acknowledge that provenance is essential, more and more datasets are attempting to keep provenance records describing how they were created. Some of these datasets are constructed using workflows, others cobble together processes and applications to manipulate the data. While the provenance needs are the same, the inputs and set of processes used must be kept, the identity needs a...

This paper presents a general method for proving and discovering combinatorial identities: to prove an identity one can present a certi cate that consists of a pair of functions of two integer variables. To prove the identity, take the two functions that are given, check that condition (1) below is satis ed (a simple mechanical task), and check the equally simple fact that the boundary conditio...

Abstract Digital manipulation has become a thriving topic in the last few years, especially after popularity of term DeepFakes. This chapter introduces prominent digital manipulations with special emphasis on facial content due to their large number possible applications. Specifically, we cover principles six types face manipulations: (i) entire synthesis, (ii) identity swap, (iii) morphing, (i...