We determine a class of triple systems such that each must occur in a triple system with uncountable chromatic number that omits T0 (the system consisting of two triples on four vertices). This class contains all odd circuit of length ≥ 7. We also show that consistently there are two finite triple systems such that they can separately be omitted by uncountably chromatic triple systems but not b...

INTRODUCTION Phase ratio is a measure of effort distribution in the triple jump, and defined as the ratio of three phase distances of the triple jump. Hop-dominant, balanced, and jump-dominant techniques were three triple jump techniques defined based on phase ratio. Although previous studies demonstrated that individualized optimal phase ratios exist [3], the importance of the phase ratio cann...

Abstract: Steiner triple systems are among the simplest and most intensively studied combinatorial designs. Their origins go back to the 1840s, and there exists by now a sizeable literature on the topic. In 1980, Babai proved that almost all Steiner triple systems have no nontrivial automorphism. On the other hand, there exist Steiner triple systems with large automorphism groups. We will discu...

Gastroenterostomy operation is P?r/0^^ usually by triple-bladed forceps, of which there are many varieties in use, such as: ( ) ^ 'tan's triple-bladed stomach clamp; if) ^o?se veldt's triple-bladed stomach clamp, ( ) A Robson's triple-bladed stomach clamp, others. T Having none of these in the dispensary, ordered for one from Bombay, as a cas huge dilated stomach of 18 years stancing, I to pylo...

BACKGROUND Triple-negative breast cancer is a subtype of breast cancer with aggressive tumor behavior and distinct disease etiology. Due to the lack of an effective targeted medicine, treatment options for triple-negative breast cancer are few and recurrence rates are high. Although various multi-gene prognostic markers have been proposed for the prediction of breast cancer outcome, most of the...

management of soil fertility via biological fertilizers inoculation is one of the most important components based on sustainable agriculture. in order to investigate the effects of biological and chemical fertilizers on yield and some morphological traits of forage yield sorghum, a field experiment was conducted as factorial based on randomized complete block design with three replications at a...

A triple crossing is a crossing in a projection of a knot or link that has three strands of the knot passing straight through it. A triple crossing projection is a projection such that all of the crossings are triple crossings. We prove that every knot and link has a triple crossing projection and then investigate c3(K), which is the minimum number of triple crossings in a projection of K. We o...

Collagenases are a highly specific class of enzymes. In their native states, collagenases cleave only native triple helical collagen molecules at a single peptide bond between Gly775-Leu776 for Type I collagen and Gly775-Ile776 for Type II collagen. The linear sequence of collagen is about 1050 amino acids in length, where three linear peptide sequences are required to form a triple helical col...

A triple system is cancellative if no three of its distinct edges satisfy A ∪ B = A ∪ C. It is tripartite if it has a vertex partition into three parts such that every edge has exactly one point in each part. It is easy to see that every tripartite triple system is cancellative. We prove that almost all cancellative triple systems with vertex set [n] are tripartite. This sharpens a theorem of N...