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• Pre-measure
  ...}(\mathcal{I})}} be the algebra generated by this set<ref group="Note">Not standard notation - made up for this example</ref>. *** {{M|1=[a,b)^c=(-\infty,a)\cup[b,+\infty)}}
  5 KB (782 words) - 01:49, 26 July 2015
• Curve
  A curve can mean many things. It is reasonably standard to say however that a curve is any one dimensional "thing" Given a <math>f:\mathbb{R}^n\rightarrow\mathbb{R}</math> and a {{M|c\in\mathbb{R} }} we define the level curve as follows<ref>
  1 KB (224 words) - 21:30, 28 March 2015
• Tangent space
  <math>\omega\in T_p(\mathbb{R}^n)\iff \omega:C^\infty(\mathbb{R}^n)\rightarrow\mathbb{R} </math> is a [[Derivation|derivat ...ghtarrow\mathbb{R}</math> which satisfies the [[Leibniz rule]]. Recall {{M|C^\infty(M)}} is the set of all [[Smooth function|smooth functions]] on our [
  6 KB (1,190 words) - 19:27, 14 April 2015
• Inner product examples
  Here the space is {{M|\mathcal{C}_\mathbb{C}[a,b]}} - the [[Continuous map|continuous functions]] over the interval {{M : (this is simpler then it sounds as for {{M|f\in\mathcal{C}_\mathbb{C}[a,b]}} we really have {{M|1=f(x)=f_r(x)+jf_i(x)}} where {{M|1=j:=\sqrt{-1}
  3 KB (678 words) - 16:16, 11 July 2015
• Classes of continuously differentiable functions
  ...{M|C^k}} on {{M|U}}, {{M|C^k(U)}} for {{M|U\subseteq\mathbb{R}^n}} and {{M|C^k(\mathbb{R}^n)}} such. * ''Of class {{M|C^k}}'' or
  3 KB (632 words) - 20:32, 16 October 2015
• Notes:IPv6
  ...tes = 8 blocks of 4 hex digits<ref name="Naming"/>, separated by colons ({{C|:}})<ref name="Naming"/>, subject to the following rules: # {{C|::}} may occur 0 or 1 time in an address. It means "the missing blocks (whe
  5 KB (837 words) - 06:12, 24 April 2016
• Notes:Utf8
  | Excluding the string-termination character, {{C|0000 0000}} ...n: ''' there's a lot of overlap here. This suggests that a first byte of {{C|1100 0000}} is invalid, because that'd overlap with the 1 byte characters!
  3 KB (426 words) - 22:12, 29 April 2016
• Notes:Tangent space
  ...w M}} by {{M|1=c:(r,\theta)\mapsto(r\cos(\theta),r\sin(\theta),r^2)}} ({{M|c}} for chart) ...2+y^2)=(\sqrt{x^2+y^2},\arctan(\frac{y}{x}))}} and we'll define {{M|1=p_c:=c^{-1}(p)=(\sqrt{x^2+y^2},\arctan(\frac{y}{x}))}}
  5 KB (1,002 words) - 19:42, 15 August 2016
• U-ring
  ...is a term for a [[ring with unity]]^[[ASN]]:<ref>[[ASN]]: Alec's Standard Notation</ref>. * [[c-ring]] - a commutative ring.
  455 B (57 words) - 16:32, 19 October 2016
• Q-ring
  ...rties|commutative ring with unity]]^[[ASN]]:<ref>[[ASN]]: Alec's Standard Notation</ref> * [[c-ring]] - a commutative ring
  435 B (56 words) - 04:28, 16 October 2016
• C-ring
  __TOC__{{DISPLAYTITLE:c-ring}} ...[ring#Properties|commutative ring]]^[[ASN]]:<ref>[[ASN]]: Alec's Standard Notation</ref>
  426 B (52 words) - 04:30, 16 October 2016
• Proof that the fundamental group is actually a group/Outline
  ...nk|path|topology|s}} in {{M|X}} - but considered only on the subset of {{M|C([0,1],X)}}, {{M|\Omega(X,b)}}. ...big({\small(\cdot)}\simeq{\small(\cdot)}\ (\text{rel }\{0,1\})\big)} }}, a standard [[quotient by an equivalence relation]].
  3 KB (454 words) - 18:31, 4 November 2016
• Exercises:Saul - Algebraic Topology - 1/Exercise 1.5
  ...ght),\left(\begin{array}{c}2\\ 5\\ 8\end{array}\right),\left(\begin{array}{c}3\\ 6\\ 9\end{array}\right)\right\}\right)}} *** We cannot do the same thing again, as {{M|a(1,4,7)+b(2,5,8)+c(0,0,1)}} can never be {{M|(0,1,0)}} (RREFing we get fractional values. Whic
  3 KB (473 words) - 19:34, 14 January 2017
• Notes:Delta complex/Formal attempt
  ...complex]] in the back of your mind, and a simplex as being like {{M|\{a,b,c\} }} for a triangle and such. * Let {{M|\#(n):\eq\{1,\ldots,n\}\subset\mathbb{N} }} - I did want to use {{M|C(n)}} for "count" or "consecutive" but given the context that'd be a poor ch
  5 KB (966 words) - 14:36, 6 February 2017
• Convex hull
  {{stub page|grade=C|msg=Not really important, references would be good}} * {{MM|H:\eq\bigcap_{C\in\text{Convex}(S;\mathbb{R}^n)}C}} - the [[intersection]] of all {{plural|convex set|s}} in {{M|\mathbb{R}^n
  822 B (134 words) - 15:54, 12 February 2017
• Real projective space
  * Demote to grade C once charts and definition 1 is in place [[User:Alec|Alec]] ([[User talk:Al ==Standard structure==
  2 KB (289 words) - 09:08, 18 February 2017
• Exercises:Saul - Algebraic Topology - 9/Exercise 9.7
  ...at the {{link|cone|topology}} on the [[real projective plane]], {{ie}} {{M|C(\mathbb{RP}^2)}}, is not a [[topological n-manifold with boundary|topologic {{M|\newcommand{\crp}{C(\mathbb{RP}^2)} }}
  8 KB (1,299 words) - 13:33, 15 March 2017
• Given a Hilbert space and a non-empty, closed and convex subset then for each point in the space there is a closest point in the subset
  ...a field means {{M|\mathbb{K}:\eq\mathbb{R} }} or {{M|\mathbb{K}:\eq\mathbb{C} }}, the reals or the complex number fields only</ref> considered as a [[ve ...p}} yet. However for now the reader knows what uniqueness means, it's bog standard}}</ref>
  3 KB (592 words) - 00:52, 7 April 2017
• K (field)
  ...ers]], {{M|\mathbb{R} }}, or the [[field of complex numbers]], {{M|\mathbb{C} }}. ...e applies and it is a stand in for either {{M|\mathbb{R} }} or {{M|\mathbb{C} }}.
  2 KB (323 words) - 03:54, 8 April 2017
• Poisson distribution
  |label3=[[Cumulative distribution function|c.d.f]] Standard Poisson distribution:
  8 KB (1,401 words) - 00:52, 20 July 2018