Runge's theorem in hypercomplex function theory

A Note on Totally Regular Variables and Appell Sequences in Hypercomplex Function Theory

The aim of our contribution is to call attention to the relationship between totally regular variables, introduced by R. Delanghe in 1970, and Appell sequences with respect to the hypercomplex derivative. Under some natural normalization condition the set of all paravector valued totally regular variables defined in the three dimensional Euclidean space will be completely characterized. Togethe...

‏‎interpersonal function of language in subtitling

‏‎translation as a comunicative process is always said to be associated with various aspects of meaning loss or gain. subtitling as a mode of translating, due to special discoursal and textual conditions imposed upon it, is believed to be an obvious case of this loss or gain. presenting the spoken sound track of a film in writing and synchronizing the perception of this text by the viewers with...

A Lemma Driven Automatic Theorem Prover for Recursive Function Theory

We d e s c r i b e work in p r o g r e s s on an a u t o m a t i c theo rem p r o v e r f o r r e c u r s i v e f u n c t i o n t h e o r y t h a t w e i n t e n d t o a p p l y i n t h e a n a l y s i s ( i n c l u d i n g v e r i f i c a t i o n and t r a n s f o r m a t i o n ) o f u s e f u l computer p r o g r a m s . The m a t h e m a t i c a l t h e o r y o f ou r theorem p r o v e r i s...

Hypercomplex Geometry

Hypercomplex Liquid Crystals

Hypercomplex fluids are amalgamations of polymers, colloids, or amphiphilic molecules that exhibit emergent properties not observed in elemental systems alone. Especially promising buildingblocks for assembly of hypercomplex materials are molecules with anisotropic shape. Alone, these molecules form numerous liquid crystalline phases with symmetries and properties that are fundamentally differe...