A new deformation family of Schwarz’ D surface

Gergonne-Schwarz Surface

Our work supplements [3] very closely, even down to the level of notation. The setting is three-dimensional xyz-space. 0.1. Six Edges of a Cube. Consider a polygonal wire loop with six line segments: (0, 0, 0)→ (1, 0, 0)→ (1, 0, 1)→ (1, 1, 1)→ (0, 1, 1)→ (0, 1, 0)→ (0, 0, 0). What is the minimal area for any surface spanning this fixed boundary? Equivalently, what is the outcome of dipping the ...

A new family of (A, N)-implications: Construction and properties

This paper deals with a new family of (A, N)-implications that derived from fuzzy negation and continuous monotone function, and some properties, like the left neutrally, the exchange principle, the ordering property and the laws of contraposition, of the proposed family of (A, N)-implications are studied. Moreover, the T-conditionality and the Modus tollens for the new family of (A, N)-i...

On a New Bimodal Normal Family

The unimodal distributions are frequently used in the theorical statistical studies. But in applied statistics, there are many situations in which the unimodal distributions can not be fitted to the data. For example, the distribution of the data outside the control zone in quality control or outlier observations in linear models and time series may require to be a bimodal. These situations, oc...

Prediction of Respiration-Induced Internal 3-D Deformation Fields From Dense External 3-D Surface Motion

A New Infinite Family of Hemisystems of the Hermitian Surface

In this paper, we construct an infinite family of hemisystems of the Hermitian surface H(3, q). In particular, we show that for every odd prime power q congruent to 3 modulo 4, there exists a hemisystem of H(3, q) admitting C(q3+1)/4 : C3.