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- Every continuous open mapping $\mathbb {R} \to \mathbb {R}$ is monotonic
Prove that every continuous open mapping from $\mathbb {R} \to \mathbb {R}$ is monotonic I want to prove it only (or mostly) using arguments and concepts from topology, and not from analysis
- Counting row by group through proc sql - SAS Communities
HI @V_R These kind of questions seems more of university fun puzzles rather than a practical application in industry How I wish I can reverse the clock and go back to Uni I am missing those days at the lab The idea is to use MONOTONIC () and RANK by GROUP data have; input x y $; datalines; 1 a 1 b 1 c 2 g 2 p 3 f ; proc sql; create table want as select a x,a y,count(b m) as n from (select
- general topology - Strictly Convex and Strictly Monotonic Preferences . . .
0 Here is an attempt to make up for my ugly mistake on the strict convexity of Leontieff preferences ;) If I read you right, the guess you want to check is whether for complete, transitive and continuous preferences, strict convexity implies that any monotonic preference relation is also strictly monotonic
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