Short interactive lessons that ask a question before they explain. One session takes about ten minutes and ends with questions to check what you have understood.
Dissociation and association change the number of particles. The van’t Hoff factor i corrects for it.
Class 12 · Maths Relations and Functions FreeA relation on A is a subset of A × A. The empty and universal relations are the two extremes.
Class 12 · Maths Relations and Functions FreeThree properties of a relation, each a condition on which pairs it contains.
Class 12 · Maths Relations and Functions FreeA relation with all three properties divides its set into non-overlapping equivalence classes.
Class 12 · Maths Relations and Functions FreeOne-one: different inputs give different outputs. Onto: every codomain element is an output.
Class 12 · Maths Relations and Functions Freeg ∘ f applies f first, then g. Only bijections have inverses.