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• Parametric curves
  Note that $||f(t) - L||$ is a number (see [[Norm]]). &\leq \sqrt{2} {\rm max}\{ |f_1(x) - L_1|, |f_2(x) - L_2| \} {\rightarrow} 0 {\rm (orange)}.
  34 KB (5,665 words) - 15:12, 13 November 2012
• Functions in higher dimensions
  This number is also called the ''magnitude'' or the ''norm'' of the vector. '''Definition.''' The ''norm'' of a vector
  113 KB (19,680 words) - 00:08, 23 February 2019
• Compact spaces
  $$f(c) = M = \max _{x\in [a,b]} f(x),$$ In turn, it implies that the sup-norm is well-defined.
  19 KB (3,207 words) - 13:06, 29 November 2015
• Continuous functions
  and, further, in multidimensional calculus the norm<!--\index{norm}--> replaced the absolute value: $$M(x):=\max \{f(x),g(x)\},\ \ m(x):=\min \{f(x),g(x)\}.$$
  42 KB (7,138 words) - 19:08, 28 November 2015
• Social choice
  $$winner:=\arg\max _{i\in K^{(0)}} a^0(i).$$ ...,y_i$ are the coordinates of $x,y$ with respect to the basis, as well as a norm.
  47 KB (8,030 words) - 18:48, 30 November 2015
• Isotropy in numerical PDEs
  However, the [[norm]] might vary. Yes on the first one, but only with respect to the [[max norm]]. The derivatives don't converge (and remember the derivative does appear
  10 KB (1,593 words) - 13:20, 8 April 2013
• Cohomology
  '''Exercise.''' What does this construction have to do with the norm of a linear operator? $$winner:=\arg\max _{i\in K^{(0)}} a^0(i).$$
  45 KB (6,860 words) - 16:46, 30 November 2015
• Convergence of the discrete to the continuous
  $$\min a_i \le b\le \max a_i$$ ...combinations of segments do converge as functions (with respect to the sup-norm) but their derivatives don't! Considering that the derivative appears in th
  21 KB (3,664 words) - 02:02, 18 July 2018
• Higher order votes
  $$winner:=\arg\displaystyle \max _{i\in K^{(0)}} a^0(i).$$ To find the function to be minimized, we replace the norm with its square and then expand:
  41 KB (6,942 words) - 05:04, 22 June 2016