Prove the transitivity of similarity: If △ ???~ △ ??? and △ ???~
△ ??? then...
Prove the transitivity of similarity: If △ ???~ △ ??? and △ ???~
△ ??? then △ ???~ △ ???. Write this proof in the numbered
statements and reasons style.and also a picture of triangles.
Prove that cardinality is an equivalence relation. Prove for all
properties (refextivity, transitivity and symmetry). Please do this
problem and explain every step. The less confusing notation the
better, thanks!
Explain the
similarity between a hydrogen bond and a covalent bond. Explain a
similarity between a hydrogen bond and an electrostatic
interaction. Explain a difference between an electrostatic
interaction and a hydrogen bond.
For two sets ? and ?, their Jaccard similarity, denoted ?(?,?),
is defined as
?(?,?) =
|? ∩ ?| |? ∪ ?|
where |?| is the size of set ?; ? ∩ ? is the intersection of ? and
?, that is the elements in both of ? and ?; and ? ∪ ? is the union
of ? and ?, that is the elements in at least one of ? and ?. For
example, if ? = {1,2,3,4} and...
Using mathematical notation where appropriate, briefly define
the following properties of preferences: (i) completeness, (ii)
transitivity, (iii) monotonicity, (iv) convexity, (v) continuity
and (vi) rationality