Comparisons of the physical and sensory properties of several commercial egg alternatives in angel food cake formulation were studied. Fourteen samples were investigated for foaming properties at 10 and 20 min whipping time: collagen, Cryogel gelatin, Solugel collagen hydroysates, gelatin, whey protein concentrate, fish protein, whey protein isolate (95% WPI, 90%WPI), hydrolyzed whey protein is...

This paper discusses cake-cutting protocols when the cake is a heterogeneous good, represented by an interval on the real line. We propose a new desirable property, the meta-envy-freeness of cake-cutting, which has not been formally considered before. Meta-envy-free means there is no envy on role assignments, that is, no party wants to exchange his/her role in the protocol with the one of any o...

The effect of substitution of black glutinous rice flour for normal wheat flour on batter and cake properties was determined. Black glutinous rice flour was used to substitute 30, 50, 70 and 100% of wheat flour in a control cake formulation. Experimental data showed that pasting temperature, peak viscosity, final viscosity, breakdown and setback of all black glutinous rice and mixes flour sampl...

This paper discusses cake-cutting protocols when the cake is a heterogeneous good that is represented by an interval in the real line. We propose a new desirable property, the meta-envy-freeness of cake-cutting, which has not been formally considered before. Though envy-freeness was considered to be one of the most important desirable properties, envy-freeness does not prevent envy about role a...

A laboratory-scale submerged anoxic-oxic membrane bioreactor treating municipal wastewater was operated to investigate the structure and distribution of the inorganic cake layer buildup on the membrane. BCR (European Community Bureau of Reference) sequential extraction, X-ray photoelectron spectroscopy (XPS), and both map and line scan of energy-dispersive X-ray analysis (EDX) were performed fo...

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...

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...