Vacuum packing preventing the evaporation of volatile components. It is also commonly used to store dry foods over a long period of time, such as cereals, nuts, cured meats, cheese, smoked fish, coffee, and potato chips (crisps). On a more short term basis, vacuum packing can also be used to store fresh foods, such as vegetables, meats, and liquids, because it inhibits bacterial growth. Vacuum packing greatly reduces the bulk of non-food items. For example, clothing and bedding can be stored in bags evacuated with a domestic vacuum cleaner or a dedicated vacuum sealer. This technique is sometimes used to compact household
Packing in a hypergraph a distinct real "birthtime" formula_16. The edges are taken one by one in the order of their birthtimes. The edge formula_17 is accepted and included in formula_1 if it does not overlap any previously accepted edges. Obviously, the subset formula_1 is a packing and it can be shown that its size is formula_20 almost surely. To show that, let stop the process of adding new edges at time formula_21. For an arbitrary formula_22, pick formula_23 such that for any formula_24-good hypergraph formula_25 where formula_26 denotes the probability of vertex formula_27 survival (a vertex survives if it is not in any