the aim of this article is to extend the study of the lorentz transformation of order (m,n) from m=1 and n>=1 to all m,n>=1, obtaining algebraic structures called a bi-gyrogroup and a bi-gyrovector space. a bi-gyrogroup is a gyrogroup each gyration of which is a pair of a left gyration and a right gyration. a bi-gyrovector space is constructed from a bi-gyrocommutative bi-gyrogroup that admits ...

This paper proposes a method to simplify a computational model from logistic regression for clinical use without computer. The model was built using human interpreted featrues including some BI-RADS standardized features for diagnosing the malignant masses. It was compared with the diagnosis using only assessment categorization from BI-RADS. The research aims at assisting radiologists to diagno...

This paper describes the use of a system of semantic rules to generate noun compounds, vague or polyse-mous words, and cases of metonymy. The rules are bi-directional and are used by the understanding system to interpret the same constructions.

Fractional factorial split-plot designs are widely used when it is impractical to perform fractional experiments in a completely random order. When there too many subplots per whole plot, or few plots, with replicated settings of the plot factors preferred. However, such an important study undeveloped literature. This paper considers WP from viewpoint clear effects. We investigate sufficient an...

In some experiments, the levels of factors are difficult to change; then fractional factorial split-plot (FFSP) designs suitable for selection. an FFSP design, divided into two classes—the whole plot (WP) and subplot (SP) factors. selection WP can affect that SP factors, which attracts much attention Paying more a new optimality criterion selecting such is proposed. The robustness proposed meth...