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What compact set in set theory?
define compact set?
What is bijection?
A bijection is a one-to-one correspondence in set theory - a function which is both a surjection and an injection.
What is cut set matrix in graph theory?
Cut Set matrix provides a compact and effecive means of writing algebriac equations giving branch voltages in terms of tree branches.
Does the set of all sets other than the empty set include the empty set?
The collection of all sets minus the empty set is not a set (it is too big to be a set) but instead a proper class. See Russell's paradox for why it would be problematic to consider this a set. According to axioms of standard ZFC set theory, not every intuitive "collection" of sets is a set; we must proceed carefully when reasoning about what is a set according to ZFC.
When does a set of hypotheses become a theory?
The need for PROOF. Hypothesis, is a thoery without proof. 'Hypo' Classical Greek for 'Under/ Less than' & 'thesis' a thoery . A Theory has a PROOF , that it is universally accepted by one's peers.
