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Free colour illustrations in on-line version of articles

Free colour illustrations in on-line version of articles

Free colour illustrations in on-line version of articles

Free colour illustrations in on-line version of articles

Free colour illustrations in on-line version of articles

Free colour illustrations in on-line version of articles

Free colour illustrations in on-line version of articles

Free colour illustrations in on-line version of articles

Free colour illustrations in on-line version of articles

Free colour illustrations in on-line version of articles

Free colour illustrations in on-line version of articles

Free colour illustrations in on-line version of articles

Free colour illustrations in on-line version of articles

Free colour illustrations in on-line version of articles

Free colour illustrations in on-line version of articles

Free colour illustrations in on-line version of articles

Free colour illustrations in on-line version of articles

Free colour illustrations in on-line version of articles

Free colour illustrations in on-line version of articles

Free colour illustrations in on‐line version of articles

Free colour illustrations in on‐line version of articles

Free colour illustrations in on-line version of articles

Free colour illustrations in on-line version of articles

Essentially disjoint families, conflict free colorings and Shelah’s revised GCH

Using Shelah’s revised GCH theorem we prove that if μ<ℶ ω ≦λ are cardinals, then every μ-almost disjoint family \({\mathcal{A}}\subset {[\lambda]}^{\beth_{\omega}}\) is essentially disjoint, i.e. for each \({A\in {\mathcal{A}}}\) there is a set F(A)∈[A]<|A| such that the family \(\{{A\setminus F(A)}: {A\in {\mathcal{A}}}\}\) is disjoint.We also show that if μ≦κ≦λ are cardinals, κ≧ω, and every μ-almost disjoint family \({\mathcal{A}}\subset {[\lambda]}^{{\kappa}}\) is essentially disjoint, then every μ-almost disjoint family \({\mathcal {B}}\subset {[\lambda]}^{\geqq {\kappa}}\) has a conflict-free coloring with κ colors, i.e. there is a coloring f:λ→κ such that for all \({B\in {\mathcal{B}}}\) there is a color ξ<κ such that |{β∈B:f(β)=ξ}|=1. Putting together these results we obtain that if μ<ℶ ω ≦λ, then every μ-almost disjoint family \({{\mathcal{B}}\subset {[\lambda]}^{\geqq \beth_{\omega}}}\) has a conflict-free coloring with ℶ ω colors.To yield the above mentioned results we also need to prove a certain compactness theorem concerning singular cardinals.

Free colour illustrations in on‐line version of articles

Free colour illustrations in on‐line version of articles

JDS improvements during 2003–2012

JDS improvements during 2003–2012

Forbidden Rainbow Subgraphs That Force Large Highly Connected Monochromatic Subgraphs

We consider a forbidden rainbow structure condition which implies that an edge colored complete graph has an almost spanning monochromatic subgraph with high connectivity. Namely, we classify the connected graphs $G$ that satisfy the following statement: If $n\,{\gg}\,m\,{\gg}\,k$ are integers, then any rainbow $G$-free coloring of the edges of $K_{n}$ using $m$ colors contains a monochromatic $k$-connected subgraph of order at least $n - f(G, k, m)$, where $f$ does not depend on $n$.

Free colour illustrations in on‐line version of articles

Free colour illustrations in on‐line version of articles

과메기 통조림의 제조 및 특성 - 2. 보일드 과메기통조림의 제조 및 특성

This study was conducted to obtain basic data which can be applied to process of canned boiled Kwamaegi. Commercial Kwamaegi was cut into cm lengths, filled 90 g into can (301-3) and added with 60 g water and then precooked for 10 min. at . And water layer was drained. The precooked Kwamaegi was packed into the can, and added with 60 g of mixed salt solution, which is mixed with salt 0.5% and bamboo salt 0.7%. The cans were seamed using a vacuum seamer, and then sterilized for various Fo values (Fo 8~12 min.) in a steam system retort at . pH, VBN, amino-N, total amino acid, free amino acid, color value (L, a, b), texture profile, TBA value, mineral, sensory evaluation and viable bacterial count of the canned boiled Kwamaegi produced with various sterilization condition(Fo 8~12 min.) were measured. There was no remarkable difference between sterilization conditions and sensual characteristics. The results showed that the product sterilized at Fo 8 min. was the most desirable because this condition is the most economical and tasty.

Free colour illustrations in on-line version of articles

Free colour illustrations in on-line version of articles

Free colour illustrations in on-line version of articles

Free colour illustrations in on-line version of articles