The present investigation was undertaken to develop nutritious and fibre rich cake by substituting a part of wheat flour (maida) with barley and finger millet flours. Sponge cake was prepared from maida alone and by replacing maida with varying levels (5 to 20%) of barley and finger millet (FM) flours. Cake prepared from maida recorded the highest overall acceptability score but it did not diff...

We consider the problem of envy-free cake cutting, which is the distribution of a continuous heterogeneous resource among self interested players such that nobody prefers what somebody else receives to what they get. Existing work has focused on two distinct classes of solutions to this problem allocations which give each player a continuous piece of cake and allocations which give each player ...

I n this paper we show how mathematics can illuminate the study of cake-cutting in ways that have practical implications. Specifically, we analyze cake-cutting algorithms that use a minimal number of cuts (n − 1 if there are n people), where a cake is a metaphor for a heterogeneous, divisible good, whose parts may be valued differently by different people. These algorithms not only establish th...

Plant height is a key morphological trait of rapeseed. In this study, we measured plant height of a rapeseed population across six environments. This population contains 476 inbred lines representing the major Chinese rapeseed genepool and 44 lines from other countries. The 60K Brassica Infinium® SNP array was utilized to genotype the association panel. A genome-wide association study (GWAS) wa...

A comparative study was conducted to see the mutational analysis for monounsaturated fatty acids in rapeseed (Brassica napus L.) mutant populations. By using gamma irradiation, a range of variability generated for oil content and fatty acid composition in rapeseed seeds. The induced genetic variability was analyzed for two consecutive years in two contrasting environments at elevations of 510 a...

Breeding of yellow-seeded rapeseed (Brassica napus) is preferred over black-seeded rapeseed for the desirable properties of the former. This study evaluated the metabolites and nutritive values of black-seeded rapeseed meal and yellow-seeded meal from the progeny of a B. napus-Sinapis alba hybrid. Yellow-seed meal presented higher protein (35.46% vs. 30.29%), higher sucrose (7.85% vs. 7.29%), l...

Rapeseed-mustard oil is an essential dietary component, in India. The modification of rapeseed- mustard for fatty acid composition of seed oil to develop new genotypes having alternative oil and meal characteristics has been an important objective in quality breeding. Moreover, Breeding efforts in India are in progress to develop double low varieties to meet the internationally acceptable stand...

Male sterility induced by a chemical hybridization agent (CHA) is an important tool for utilizing crop heterosis. Monosulphuron ester sodium (MES), a new acetolactate synthase-inhibitor herbicide belonging to the sulphonylurea family, has been developed as an effective CHA to induce male sterility in rapeseed (Brassica napus L.). To understand MES-induced male sterility in rapeseed better, comp...

Effects of the suspended titanium dioxide nanoparticles (TiO2 NPs, 50 mg/L) on the cake layer formation in a submerged MBR were systematically investigated. With nanometer sizes, TiO2 NPs were found to aggravate membrane pore blocking but postpone cake layer fouling. TiO2 NPs showed obvious effects on the structure and the distribution of the organic and the inorganic compounds in cake layer. C...

The classic fair cake-cutting problem [Steinhaus, 1948] is extended by introducing geometric constraints on the allocated pieces. Specifically, agents may demand to get their share as a square or a rectangle with a bounded length/width ratio. This is a plausible constraint in realistic cake-cutting applications, notably in urban and agricultural economics where the “cake” is land. Geometric con...