Jack polynomials in superspace, orthogonal with respect to a " combinatorial " scalar product, are constructed. They are shown to coincide with the Jack polynomials in superspace, orthogonal with respect to a " physical " scalar product, introduced in [5] as eigenfunctions of a supersymmetric quantum mechanical many-body problem. The results of this article rely on generalizing (to include an e...

Citation: Lusebrink I, Erbilgin N and Evenden ML (2016) The Effect of Water Limitation on Volatile Emission, Tree Defense Response, and Brood Success of Dendroctonus ponderosae in Two Pine Hosts, Lodgepole, and Jack Pine. Front. Ecol. Evol. 4:2. doi: 10.3389/fevo.2016.00002 The Effect of Water Limitation on Volatile Emission, Tree Defense Response, and Brood Success of Dendroctonus ponderosae i...

Jack Levin and Jack McDevitt Northeastern University I. Legal Distinctions II. Hate Crimes and Prejudice III. Why Treat Hate Crimes Differently? IV. Problems in Collecting Hate Crime Data V. Types of Hate Crimes VI. Organized Hate Groups VII. Are Hate Crimes on the Rise? VIII. Responses to Hate crimes IX. Conclusion GLOSSARY Defensive Hate Crimes Hate offenses aimed against particular “outsider...

Abstract. Integrability, algebraic structures and orthogonal basis of the Calogero model are studied by the quantum Lax and Dunkl operator formulations. The commutator algebra among operators including conserved operators and creation-annihilation operators has the structure of the W-algebra. Through an algebraic construction of the simultaneous eigenfunctions of all the commuting conserved ope...

Jack Schneider, From the Ivory Tower to the Schoolhouse: How Scholarship Becomes Common Knowledge in Education (Harvard Education Press, Cambridge, MA, 2014) Miriam Heller Stern To cite this article: Miriam Heller Stern (2015) Jack Schneider, From the Ivory Tower to the Schoolhouse: How Scholarship Becomes Common Knowledge in Education (Harvard Education Press, Cambridge, MA, 2014), Journal of ...

The objective of this study was to investigate the occurrence of density-dependent height relationships in jack pine (Pinus banksiana Lamb.) and black spruce (Picea mariana (Mill.) B.S.P.) populations. After assessing and ruling out the presence of consequential spatial correlation effects, the analysis consisted of analyzing the relationship between mean dominant height and initial planting de...

The Jack (symmetric) polynomials P (α) λ (x) form a class of symmetric polynomials which are indexed by a partition λ and depend rationally on a parameter α. They reduced to the Schur polynomials when α = 1, and to other classical families of symmetric polynomials for several specific parameters. Recently they attracts attention from various points of view, for example the integrable systems an...

We investigate some properties of non-symmetric Jack, Hermite and Laguerre polynomials which occur as the polynomial part of the eigenfunctions for certain Calogero-Sutherland models with exchange terms. For the non-symmetric Jack polynomials, the constant term normalization N is evaluated using recurrence relations, and N is related to the norm for the non-symmetric analogue of the power-sum i...

Determining the efficient density for forest roads is essential to decrease the costs of skidding and road constructing in forestry plans. In order to estimate the optimal density for road network in Dalak kheyl forest district (Mazandaran Wood and Paper Industries), we calculated the roading costs and hourly costs of Timber jack 450C and HSM 904 skidders. The length of skid trails was measured...

We investigate some properties of non-symmetric Jack, Hermite and Laguerre polynomials which occur as the polynomial part of the eigenfunctions for certain Calogero-Sutherland models with exchange terms. For the non-symmetric Jack polynomials, the constant term normalization N η is evaluated using recurrence relations, and N η is related to the norm for the non-symmetric analogue of the power-s...