For given positive integers a1,a2,⋯,ak with gcd(a1,a2,⋯,ak)=1, the denumerant d(n)=d(n;a1,a2,⋯,ak) is number of nonnegative solutions (x1,x2,⋯,xk) linear equation a1x1+a2x2+⋯+akxk=n for a integer n. p, let Sp=Sp(a1,a2,⋯,ak) be set all n’s such that d(n)>p. In this paper, by introducing p-numerical semigroup, where N0\Sp finite, we give explicit formulas p-Frobenius number, which maximum N0\S...

A virtual prototype of oblique rotary tilling based on SPH(Smooth Particle Hydrodynamics) was developed. Digital simulation and field test of oblique rotary tilling were conducted. The digital simulation suggested that soil mainly was torn to failure during oblique rotary tilling. Therefore, oblique rotary tilling could save energy. The given power consumption comparison of digital simulation a...

Chlorophyll content is one of the most important traits controlling crop biomass and economic yield in rice. Here, we isolated a spontaneous rice mutant named thermo-sensitive chlorophyll deficit 1 (tscd1) derived from a backcross recombinant inbred line population. tscd1 plants grown normally from the seedling to tiller stages showed yellow leaves with reduced chlorophyll content, but showed n...

Intimate relationships exist between form and function of plants, determining many processes governing their growth and development. However, in most crop simulation models that have been created to simulate plant growth and, for example, predict biomass production, plant structure has been neglected. In this study, a detailed simulation model of growth and development of spring wheat (Triticum...

The tiller inhibition gene (tin) that reduces tillering in wheat (Triticum aestivum) is also associated with large spikes, increased grain weight, and thick leaves and stems. In this study, comparison of near-isogenic lines (NILs) revealed changes in stem morphology, cell wall composition, and stem strength. Microscopic analysis of stem cross-sections and chemical analysis of stem tissue indica...

The interactive effects of asexual Epichloë (formerly known as Neotyphodium) endophytes isolated from Hordeum brevisubulatum, Elymus tangutorum and Achnatherum inebrians, and seed-borne fungi on Elymus sibiricus seeds, were determined by an in vitro study using supernatants from liquid cultures of the endophyte strains. In an 8 week greenhouse study, the effects on the seedlings growth was meas...

We examined the role of interspecific competition in the regulation of abundance and coexistence of the dominant grasses in tallgrass prairie using a removal experiment with Andropogon gerardii Vitman and Sorghastrum nutans L. Nash, two of the most abundant grasses in tallgrass prairie. Plant removal treatments (using foliar herbicide), applied to 0.3-m2 plots at the Konza Prairie Biological St...

12. Let ax + by = 0, a, b ∈ R and a + b 6= 0 be a fixed line in R through the origin. We know u = ( −b √ a2+b2 , a √ a2+b2 ) is a point on line ax + by = 0 and v = ( a √ a2+b2 , b √ a2+b2 ) is a unit vector orthogonal to ( −b √ a2+b2 , a √ a2+b2 ). Thus the set B = {( −b √ a2+b2 , a √ a2+b2 ), ( a √ a2+b2 , b √ a2+b2 )} is an orthonormal basis for R. To find the reflection T (x, y) of (x, y) wi...

Let A be a factor von Neumann algebra and ? preserve n-tuple new product derivations on A, that is, for every A1,A2,... ,An ?(A1 A2 ?...? An) = ?(A1) An + A1 ?(A2) ?... ... ?(An) where Ai ?Aj A*iAj ?A*jAi i,j N, then is additive *-derivation, the condition ?(?I/2) self-adjoint operator {1,i}.