In 1984 T. Carlson and S. Simpson established an infinitary extension of the Hales-Jewett Theorem in which the leftmost letters of all but one of the words were required to be variables. (We call such words left variable words.) In this paper we extend the Carlson-Simpson result for left variable words, prove a corresponding result about right variable words, and determine precisely the extent ...

Dharmakīrti （c. A.D. 600-660） mentioned two examples of esoteric literature in his Pramāṇavārttikasvavṛtti: the Ḍākinītantra and Bhaginītantra. Karṇakagomin 9-10th century） rephrased Bhaginītantra as Caturbhaginītantra （The Tantra Four Sisters） commentary on Pramāṇavārttikasvavṛtti titled Pramāṇavārttikaṭīkā. An earlier study presumed that Sisters here were four goddesses Jayā, Vijayā, Ajitā/Ja...

Netherton syndrome is a rare autosomal recessive condition with variable expression. It comprises an ichthyosiform dermatitis and erythroderma of variable intensity associated with hair abnormalities and features of atopy. The pathognomic (required for diagnosis) feature is trichorrhexis invaginata identified by microscopic examination of hair shaft. Ichthyosis linearis circumflexa is ano...

This study deals with the main characteristics of the Maximal Length, Gold, Kasami, Walsh and variable-length orthogonal codes and their functions in code-division multiple access(CDMA) networks. The important properties of the sequences are examined. A method of multiple spreading for channelization and scrambling in CDMA is described. Auto and cross correlation properties of some codes are me...