Verbal compression as the implementation of universal tendency of compensative processes in the lingual world

The objective of the research is to describe mental and verbal primary and secondary (modern) compressive transformations. Main research methods are represented by the descriptive and structural ones making it possible to demonstrate characteristic aspects of univerb- and composite-formation (including abbreviation) as the processes corresponding to the essence of verbal compression. A tendency to compensative processes in speech and language is represented by the formations capable of complete substituting of the analytical primary names of objects, signs, and actions of the reality. In other words, a compensative process implies, apart from its main task, – balancing of the number of verbal units, – contraction of sounding duration and writing form of those units, i.e., substitution of analytical, multicomponent, nominative formations for the synthetic, monocomponent ones; that means saving time and space as the means of information conveyance. That tendency originates in the Common Slavic period. Univerbs and abbreviations, including telescopisms, are real forms of nominative units of analytical representation (word combinations) and potential alternative forms of synthetic (verbal) nominative units as the same time.

Bi-Hamiltonian Structure of Spin Sutherland Models: The Holomorphic Case

We construct a bi-Hamiltonian structure for the holomorphic spin Sutherland hierarchy based on collective spin variables. The construction relies on Poisson reduction of a bi-Hamiltonian structure on the holomorphic cotangent bundle of $$\mathrm{GL}(n,\mathbb {C})$$ GL ( n , C ) , which itself arises from the canonical symplectic structure and the Poisson structure of the Heisenberg double of the standard $$\mathrm{GL}(n,\mathbb {C})$$ GL ( n , C ) Poisson–Lie group. The previously obtained bi-Hamiltonian structures of the hyperbolic and trigonometric real forms are recovered on real slices of the holomorphic spin Sutherland model.

Hypercomplex Algebras and Calculi Derived from Generalized Kinematics

The paper provides a study of the commutative algebras generated by iteration of the cross products in $\mathbb{C}^3$. Focusing on particular real forms we also consider the analytical properties of the corresponding rings of functions and relate them to different physical problems. Familiar results from the theory of holomorphic and bi-holomorphic functions appear naturally in this context, but new types of hypercomplex calculi emerge as well. The parallel transport along smooth curves in $\mathbb{E}^3$ and the associated Maurer-Cartan form are also studied with examples from kinematics and electrodynamics. Finally, the dual extension is discussed in the context of screw calculus and Galilean mechanics; a similar construction is studied also in the multi-dimensional real and complex cases.

The Real Forms of the Fractional Supergroup SL(2,C)

The real forms of complex groups (or algebras) are important in physics and mathematics. The Lie group SL2,C is one of these important groups. There are real forms of the classical Lie group SL2,C and the quantum group SL2,C in the literature. Inspired by this, in our study, we obtain the real forms of the fractional supergroups shown with A3NSL2,C, for the non-trivial N = 1 and N = 2 cases, that is, the real forms of the fractional supergroups A31SL2,C and A32SL2,C.

Higher order Levi forms on homogeneous CR manifolds

We investigate the nondegeneracy of higher order Levi forms on weakly nondegenerate homogeneous CR manifolds. Improving previous results, we prove that general orbits of real forms in complex flag manifolds have order less or equal than 3 and the compact ones less or equal 2. Finally we construct by Lie extensions weakly nondegenerate CR vector bundles with arbitrary orders of nondegeneracy.

Home, Belonging and Africanity in the Film Black Panther

This essay uses the film Black Panther to explore notions of home, identity, and belonging as these relate to race and being African. Black Panther added a more positive representation of Black identity and culture which is generally lacking in popular culture. Building on this achievement, the essay engages with the tensions between racial and national identities for the African diaspora, as Africanity and notions of belonging are disrupted by migration. While race is the identity of primary importance for Black Americans due to its role in marking difference, subordination, and oppression, for Wakandans in Black Panther national identity is more significant and a source of pride. When considered in relation to the diaspora, history, and cultural connectedness, ideas about Africanity need to hold real forms of oppression alongside change and difference, acknowledging that certain bodies have been repeatedly oppressed, without assuming that local histories are universal.