The intermediate value theorem
Let \(a,b,\gamma\in\mathbb{R}\) s.t. \(a<b\) and let \(f:D\rightarrow\mathbb{R}\) be a continuous function s.t. \(\left[a,b\right]\subseteq D\) and \(f(a)\ne f(b)\).
One proof a day keeps the doctor away
New proofs and lecture summaries by email (no off-topic)
Let \(a,b,\gamma\in\mathbb{R}\) s.t. \(a<b\) and let \(f:D\rightarrow\mathbb{R}\) be a continuous function s.t. \(\left[a,b\right]\subseteq D\) and \(f(a)\ne f(b)\).
Determine all vector spaces that have exactly one basis, up to reordering, and prove that no others exist. Note that this is different from the original question.
Quiz 1 in the course Infinitesimal Calculus (2), semester 2026 B.
Quiz 4 in the course Infinitesimal Calculus (1), semester 2026 A.
כלל המכפלה וכלל המנה:
האוניברסיטה העברית, אלגברה ליניארית (1) - \(80134\), סמסטר 2026 א’ (תשפ“ו א’).