A new estimate of tundra-biome phytomass from trans-Arctic field data and AVHRR NDVI Martha K. Raynolds a , Donald A. Walker a , Howard E. Epstein b , Jorge E. Pinzon c & Compton J. Tucker c a Institute of Arctic Biology, University of Alaska, Fairbanks, AK, 99775, USA b Department of Environmental Sciences, University of Virginia, Charlottesville, VA, 22904, USA c Biospheric Science Branch, NA...

In quantum field theory, the path integral is interpreted perturbatively as a sum indexed by graphs. The coefficient (Feynman amplitude) associated to a graph Γ is a period associated to the motive given by the complement of a certain hypersurface XΓ in projective space. Based on considerable numerical evidence, Broadhurst and Kreimer suggested [4] that the Feynman amplitudes should be sums of ...

1. Let P{ή) and p(n) denote the greatest and smallest prime factor of n, respectively. Recently in several papers, Balog, Erdόs, Maier, Sarkozy, and Stewart have studied problems of the following type: if A\,...,Ak are "dense" sets of positive integers, then what can be said about the arithmetical properties of the sums a\ H h % with a,\ G A\,...,ak G Akl In particular, Balog and Sarkόzy proved...

Arginine kinase (AK) was isolated from the body wall muscle of the primitive sea anemone Anthopleura japonicus by Ultrogel AcA34 gel filtration, DEAE-32 chromatography and elution on a Cosmogel-SP column. The denatured molecular mass as determined with SDS/PAGE was 80 kDa, twice that of the usual AK subunit, indicating that this AK has an unusual two-domain structure. The native form was eluted...

Let {Σα}α<ω1 , where ω1 is the first non-countable ordinal, denote the Borel hierarchy of subsets of the Cantor space 2. As usual, Πα denotes the dual class for Σα while ∆ 0 α = Σ 0 α ∩Πα — the corresponding ambiguous class. Let B = ∪α<ω1Σα denote the class of all Borel sets. The levels of Borel hierarchy, as well as many other classes of interest for descriptive set theory, may be defined by m...

where B = (bn)n≥1 is a one-column matrix and X the unknown, see [1, 2, 3, 4, 5, 6, 7, 8, 10]. Equation (1.2) can be written in the form AX = B, where AX = (An(X))n≥1. In this paper, we will also consider A an operator from a sequence space into another sequence space. A Banach space E of complex sequences with the norm ‖‖E is a BK space if each projection PnX = xn is continuous for all X ∈ E. A...

5aAB1. A comparison of acoustic and visual metrics of sperm whale longline depredation. Aaron Thode (SIO, UCSD, 9500 Gilman Dr., MC 0238, La Jolla, CA 92093-0238, [email protected]), Lauren Wild (Sitka Sound Sci. Ctr., Sitka, AK), Delphine Mathias (GIPSA Lab., Grenoble INP, St. Martin d’Hères, France), Janice Straley (Univ. of Alaska Southeast, Sitka, AK), and Chris Lunsford (Auke Bay Labs., NOAA...

Let a1,a2,…,ak be positive integers with gcd(a1,a2,…,ak)=1. Frobenius number is the largest integer that NOT representable in terms of a1,a2,…,ak. When k?3, there no explicit formula general, but some formulae may exist for special sequences a1,a2,…,ak, including, those forming arithmetic progressions and their modifications. In this paper, we give power weighted sum nonrepresentable integers. ...