Intellectual property (IP) rights have always had difficulties to cope with disrup-tive technologies. Development of AI-implemented works and common use it pushes the boundaries IP protection. Increase machines which can inde-pendently act or create things posed a numerous concern patent system such as how will inventive step, prior art, inventorship technical contri-bution evaluated. Neverthel...

This article uses the National Asian American Survey to explore issues of housing access and discrimination among Asians Latino/as, particularly how identity heterogeneity within these two groups can lead their underrepresentation in programs. Then, using Philadelphia as a case study, we draw on administrative data, interviews, focus show that both Latino/as are underrepresented due range lingu...

We show that with high probability the random graph G n , 1 / 2 $$ {G}_{n,1/2} has an induced subgraph of linear size, all whose degrees are congruent to r ( mod q ) r\kern0.3em \left(\operatorname{mod}\kern0.3em q\right) for any fixed and ≥ q\ge . More generally, same is true distribution modulo Finally, we can partition vertices into + q+1 parts nearly equal each which induces a Our results r...

Noncommutative geometry provides a framework, via the construction of spectral triples, for study certain classes fractals. Many fractals are constructed as natural limits sets with simpler structure: instance, Sierpiński gasket is limit finite graphs consisting various affine images an equilateral triangle. It thus to ask whether on class called piecewise C 1 -fractal curves, indeed limits, in...

We study multiple zeta values (MZV’s) over the rational function field $${\mathbb {F}}_q$$ which were introduced by Thakur as analogues of classical Euler. In this paper we affirmatively solve a conjecture Lara Rodriguez and gives full list zeta-like MZV’s weight at most $$q^2$$ depth 2. Further, completely determine all arbitrary depth. Our method is based on criterion derived from Anderson–Th...

In a recent quantum key distribution experiment, high-dimensional protocols were used to show an improved noise resistance over 10.2 km free-space channel. One of the unresolved questions in this context is whether communicating parties actually shared genuine entanglement. letter we introduce discretisation and entanglement certification scheme for time-bin setups apply it data obtained during...

We study the following problem: can a classical sln Toda field theory be represented by means of free bosonic oscillators through a Drinfeld–Sokolov construction? We answer affirmatively in the case of a cylindrical space–time and for real hyperbolic solutions of the Toda field equations. We establish in fact a one–to–one correspondence between such solutions and the space of free left and righ...

An eventual property of a matrix M ∈ C n×n is a property that holds for all powers M k , k ≥ k 0 , for some positive integer k 0. Eventually positive and eventually nonnegative matrices have been studied extensively, and some results are known for eventually r-cyclic matrices. In this paper we introduce and establish properties of eventually reducible matrices, establish properties of the eigen...

We describe a large-scale project in applied automated deduction concerned with the following problem of considerable interest in loop theory: If Q is a loop with commuting inner mappings, does it follow that Q modulo its center is a group and Q modulo its nucleus is an abelian group? This problem has been answered affirmatively in several varieties of loops. The solution usually involves sophi...