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3. Between two groups, may mean that the second one is a proper subgroup of the first one. ≤ 1. Means "less than or equal to". That is, whatever A and B are, A ≤ B is equivalent to A < B or A = B. 2. Between two groups, may mean that the first one is a subgroup of the second one. ≥ 1. Means "greater than or equal to".
A 2-colouring of K 5 with no monochromatic K 3. The conclusion to the theorem does not hold if we replace the party of six people by a party of less than six. To show this, we give a coloring of K 5 with red and blue that does not contain a triangle with all edges the same color. We draw K 5 as a pentagon surrounding a star (a pentagram). We ...
Occasionally, chained notation is used with inequalities in different directions, in which case the meaning is the logical conjunction of the inequalities between adjacent terms. For example, the defining condition of a zigzag poset is written as a 1 < a 2 > a 3 < a 4 > a 5 < a 6 > ... . Mixed chained notation is used more often with compatible ...
The expression "at least 50% +1" may mislead when "majority" is actually intended, where the total number referred to is odd. [1]: 4 For example, say a board has 7 members. "Majority" means "at least 4" in this case (more than half of 7, which is 3.5).
A bramble of order four in a 3×3 grid graph, the existence of which shows that the graph has treewidth at least 3. A similar characterization can also be made using brambles, families of connected subgraphs that all touch each other (meaning either that they share a vertex or are connected by an edge). [4]
definition: is defined as metalanguage:= means "from now on, is defined to be another name for ." This is a statement in the metalanguage, not the object language. The notation may occasionally be seen in physics, meaning the same as :=.
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In predicate logic, an existential quantification is a type of quantifier, a logical constant which is interpreted as "there exists", "there is at least one", or "for some". It is usually denoted by the logical operator symbol ∃, which, when used together with a predicate variable, is called an existential quantifier (" ∃ x " or " ∃( x ...