I Given n students and n colleges, each with preferences over the other. Can we find a stable matching? I Stability: Don’t want to match c with s and c′ with s′ if c and s′ would prefer to switch to being matched with each other. I Yes! Propose and Reject Algorithm. I Algorithm terminates in n2 iterations I Everyone gets matched I Resulting matching is stable! Big-O: Motivation What is the runn...

Cross-section data on secondary level student choices provide evidence on factors influencing the decision to study economics. Such evidence makes a key contribution to the broader debates on why student numbers have been falling in economics and why women are reluctant economists. Greater mathematical aptitude and prior knowledge of the subject influence the decision to study economics, and a ...

Phosphorylation of activation loop threonine (Thr(505)) and regulatory domain tyrosine (Tyr(311)) residues are key regulators of PKC (protein kinase C) delta function in platelets. In the present study, we show that G(q) and G(12/13) pathways regulate the Thr(505) and Tyr(311) phosphorylation on PKCdelta in an interdependent manner. DiC8 (1,2-dioctanoylglycerol), a synthetic analogue of DAG (di...

VPg uridylylation is essential for picornavirus RNA replication. The VPg uridylylation reaction consists of the binding of VPg to 3D polymerase (3D(pol)) and the transfer of UMP by 3D(pol) to the hydroxyl group of the third amino acid Tyr of VPg. Previous studies suggested that different picornaviruses employ distinct mechanisms during VPg binding and uridylylation. Here, we report a novel site...

COURSE CONTENT: Groups, Examples of groups, Some elementary properties of groups, Subgroups, Cyclic groups, Cosets and Langrange’s theorem, Normal subgroups and Quotient groups, Homomorphisms, The Isomorphism Theorems, Group Actions, orbits and stabilizers, Conjugacy, Class equation of a finite group, Cauchy’s Theorem, The structure of p-groups, The Sylow’s theorems, Some applications of Sylow’...

On 11 March 2011, a devastating earthquake struck off the coast of Japan, causing blustering tsunami that swept over the northeast coast of the country. Many struggled to evacuate from their homes, schools, and workplaces as 8- to 9-m-tall tsunami rapidly reached the coast within half an hour after the earthquake (Emergency Disaster Response Headquarters). The officials reported a record-breaki...

Non-emergency calls, namely the 311 calls, capture different complaints of city residents and visitors about a variety of experienced problems in a city. The 311 calls in New York City (NYC) are publicly available and can provide an interesting status of the city. In this paper, we share a summary of an extensive analysis that we are performing in the 311 data of NYC, as well as a data-based pr...

AIM Evaluation of narrow band ultraviolet B (NB UVB 311 nm) in the treatment of vitiligo by two independent studies. The first study compared NB UVB with a well-established therapeutic modality, psoralen ultraviolet A (PUVA), and the second study was conducted to find out whether psoralen might add to its efficacy. METHODS In the first study, 15 patients were exposed on the left half of their...