In this paper we give some evidence for M Kontsevich’s homological mirror symmetry conjecture [13] in the context of toric varieties. Recall that a smooth complete toric variety is given by a simplicial rational polyhedral fan ∆ such that |∆| = Rn and all maximal cones are non-singular (Fulton [10, Section 2.1]). The convex hull of the primitive vertices of the 1–cones of ∆ is a convex polytope...

İlkokul matematik dersi öğretim programı, çevresinde ve okul ortamı içerisinde öğrendiklerini anlamlandırabilen kendine ait anlamlar oluşturabilen, oluşturduğu anlamları günlük yaşam karşılaştığı durumlara uygulayabilen bireyler yetiştirmeyi hedeflemektedir. Bu bağlamda eğitimi, arasında anlamlı ilişkilerin kurulduğu uygulamalara yönelmiştir. Matematik öğretiminde ilişkisinin önem kazanmasıyla ...

Today, Jonathan spoke, delivering an overview of Gromov-Witten theory and how associativity of quantum cohomology leads to applications in enumerative geometry. Today we always work over C, and follow Fulton-Pandharipande’s notes [FP96]. Classically, if X is a nonsingular projective variety and β ∈ H2(X;Z), we want to know how many algebraic curves in X represent the class β. This relates to ve...

The essential set of a permutation was defined by Fulton as the set of southeast corners of the diagram of the permutation. In this paper we determine explicit formulas for the average size of the essential set in the two cases of arbitrary permutations in Sn and 321-avoiding permutations in Sn. Vexillary permutations are discussed too. We also prove that the generalized Catalan numbers (r+k−1 ...

[3] Hindler K, Shaw AD, Samuels J, Fulton S, Collard CD, Riedel B. Improved postoperative outcomes associated with preoperative statin therapy. Anesthesiology 2006;105:1260—72. [4] Poldermans D, Bax JJ, Kertai MD, Krenning B, Westerhout CM, Schinkel AF. Statins are associated with a reduced incidence of perioperative mortality in patients undergoing major noncardiac vascular surgery. Circulatio...

Product designers have a need to experience the environment where their product will be used. Such a sense of presence is conventionally achieved by hanging pictures and sketches on the wall or creating larger scale moodboards or collages of the intended audience or environment (Kolli, Stuyver, Hennessey, 1993). As the interaction and possibilities of products become more and more complex, desi...

The Writing Pal Intelligent Tutoring System: Usability Testing and Development Rod D. Roscoe a,∗, Laura K. Allen b, Jennifer L. Weston b, Scott A. Crossley c, Danielle S. McNamara d a Human Systems Engineering in the Ira A. Fulton Schools of Engineering at Arizona State University, United States b Psychology and the Learning Sciences Institute at Arizona State University, United States c Applie...

This is not to say that the subject has not been covered in the information science literature, quite the opposite is true and researchers such as Millen and Dray (2000), Widén-Wulff and Davenport (2007), Widén-Wulff and Ginman (2004), Hall and Goody (2007), Hersbserger et al. (2007), Sonnenwald et al. (2008) and Fulton (2009) have all explored aspects of information sharing in a variety of con...

Bigrassmannian permutations are known as permutations which have precisely one left descent and one right descent. They play an important role in the study of Bruhat order. Fulton introduced the essential set of a permutation and studied its combinatorics. As a consequence of his work, it turns out that the essential set of bigrassmannian permutations consists of precisely one element. In this ...