Proof: We proved in class (Proposition 2.4.1) that there is at least one triangle-or-anti-triangle, call its vertices {a1, a2, a3}. There are at least three additional distinct vertices, b1, b2, and b3. If all of b1, b2, and b3 are adjacent to each other, then {b1, b2, b3} is a triangle. If none of b1, b2, and b3 is adjacent to any other, then {b1, b2, b3} is an anti-triangle. Assume without lo...

Mitosis is thought to be triggered by the activation of Cdk-cyclin complexes. Here we have used RNA interference (RNAi) to assess the roles of three mitotic cyclins, cyclins A2, B1, and B2, in the regulation of centrosome separation and nuclear-envelope breakdown (NEB) in HeLa cells. We found that the timing of NEB was affected very little by knocking down cyclins B1 and B2 alone or in combinat...

The concept of semicopula plays a fundamental role in the definition of a universal integral. We present an extension of semicopula to the case of symmetric interval [−1,1]. We call this extension bipolar semicopula. The last definition can be used to obtain a simplified definition of the bipolar universal integral. Moreover bipolar semicopulas allow for extension of theory of copulas to the in...

Multi-reference configuration interaction with single and double excitation method has been utilized to calculate the potential energy surfaces of the five low-lying electronic states (1)A1, (1)A2, (3)A2, (1)B2, and (3)B2 of carbon dioxide molecule. Topology of intersections among these five states has been fully analyzed and is associated with double-well potential energy structure for every e...

Anthrax, caused by the bacterium Bacillus anthracis, is a zoonotic disease that persists throughout much of the world in livestock, wildlife, and secondarily infects humans. This is true across much of Central Asia, and particularly the Steppe region, including Kazakhstan. This study employed the Genetic Algorithm for Rule-set Prediction (GARP) to model the current and future geographic distrib...

This study aims to evaluate effects of two downscaling methods; change-factor and statistical downscaling on therunoff of the Azam-Harat River located at Yazd province (with an arid climate) of Iran, under the A2 emission scenariofor the period of 2010-2039. For this purpose, CGCM3-AR4 model; a rainfall-runoff conceptual model, IHACRES; twodownscaling models, Change Factor and LARS-WG were appl...

This research studies the potential impact of climate change on future trend and changes of two well known drought indicators namely RDI and SPI in Yazd meteorological station, in central part of Iran. For this purpose, data of HadCM3 model that were resulted from GCM-runs based on the IPCC-SRES scenarios of A2 and B2 were acquired and analyzed for projection of daily Tmin, Tmax and precipitati...

Following [2], we say a family, H , of subsets of a n-element set is cancellative if A∪B = A∪C implies B = C when A,B,C ∈ H . We show how to construct cancellative families of sets with c2 elements. This improves the previous best bound c2 and falsifies conjectures of Erdös and Katona [3] and Bollobas [1]. AMS Subject Classification. 05C65 We will look at families of subsets of a n-set with the...

Acquired equivalence was investigated using a virtual reality conditioned suppression task administered in a first-person-shooter game. Two visual cues, A1 and B1, were followed by a tone (O1), and another two cues, A2 and B2, were followed by another tone (O2). During differential Pavlovian conditioning, A1 was paired with an instructed unconditioned stimulus (US) consisting of a flashing whit...