Natural SciencesMathematicsSet TheorySyntaxUnconscionabilityAxiomatic Set TheoryLimit TheoremsConvergent SequencesPointwise Convergence
(Def. 2) There exists r such that for every y such that y ∈ dom f holds r < f (y). Let us consider s1. Let us observe that s1 is upper bounded if and only if: (Def. 3) There exists r such that for every n holds s1(n) < r. Let us observe that s1 is lower bounded if and only if: 1 The propositions (1) and (2) have been removed. 2 The proposition (5) has been removed. 3 The proposition (8) has been removed.
5
Functions and their basic properties
Czesław Byliński · 1989 · 366 citations
Relations and their basic properties
Edmund Woronowicz · 1989 · 320 citations
Basic Properties of Real Numbers
Krzysztof Hryniewiecki · 2004 · 168 citations
Real Sequences and Basic Operations on Them
Jarosław Kotowicz · 2004 · 134 citations