Development of the method of quaternion typification of Clifford algebra elements

In this paper we further develop the method of quaternion typification of Clifford algebra elements suggested by the author in the previous paper. On the basis of new classification of Clifford algebra elements it is possible to reveal and prove a number of new properties of Clifford algebra. We use k-fold commutators and anticommutators. In this paper we consider Clifford and exterior degrees and elementary functions of Clifford algebra elements.Comment: 15 page

LASER POLARIZATION-VARIABLE AUTOFLUORESCENCE OF THE NETWORK OF OPTICALLY ANISOTROPIC BIOLOGICAL TISSUES: DIAGNOSTICS AND DIFFERENTIATION OF EARLY STAGES OF CANCER OF CERVIX UTERI

This research presents the results of investigation of laser polarization fluorescence of biological layers (histological sections, cytological smears) in the task of diagnostics and differentiation of early stages of cancer: Dysplasia — cervical microinvasive carcinoma of cervix uteri. The analytical conditions of polarization-optimal probing of biological layers were determined basing on the model of linear birefringence and dichroism of birefringent (fibrillar, porphyrin) networks. The technique of polarization-variable laser autofluorescence was developed and experimentally tested. The objective criteria (statistical moments) of differentiation of histological sections autofluorescent images of endometrium biopsy and cytological smears of it mucous coat were defined. The operational characteristics (sensitivity, specificity, accuracy) of this technique were determined concerning the positions of probative medicine, and clinical efficiency

Phase Equilibria in the Sm(Ho)2S3–PbS–SnS2 Systems at 770 K

На основании результатов рентгенофазового анализа исследовано физико-химическое взаимодействие компонентов в квазитройных системах Sm2S3–PbS–SnS2 и Ho2S3–PbS–SnS2. Построены изотермические сече- ния исследуемых систем при температуре 770 К Interaction of the components in the Sm2S3 – PbS – SnS2 and Ho2S3 – PbS – SnS2 systems have been investigated using X-ray phase analysis. Isothermal sections of the investigated systems have been constructed at 770 К

Phase Equilibria in the La2X3–PbX–SiX2 (X–S, Se) Systems at 770 K.

За результатами рентгенофазового аналізу досліджено фізико-хімічну взаємодію компонентів у квазіпотрійних системах La2S3–PbS–SiS2 і La2Se3–PbSe–SiSe2. Побудовано ізотермічні перерізи досліджуваних систем за температури 770 К. Interaction of the components in the La2S3–PbS–SiS2 and La2Se3–PbSe–SiSe2 systems have been investigated using X-ray phase analysis. Isothermal sections of the investigated systems have been constructed at 770 К