PageSourceSearch

https://probability.net/IndexC.html

html probability.net collected 2026-10-02 06:20:30 UTC 63,068 bytes, 1,112 lines download raw bytes

1<html>
2
3<head>
4<meta name="GENERATOR" content="Microsoft FrontPage 6.0">
5<title>Probability Tutorials: Index C</title>
6<!-- GoStats JavaScript Based Code -->
6<script type="text/javascript" src="http://gostats.com/js/counter.js"></script>
vendor: 1 bytes, line 6
6
7<script type="text/javascript">_gos='c5.gostats.com';_goa=1029673;_got=5;_goi=1;_gol='live web stats';_GoStatsRun();</script>
7
8<noscript><a target="_blank" title="live web stats" href="http://gostats.com"><img alt="live web stats" 
9src="http://c5.gostats.com/bin/count/a_1029673/t_5/i_1/counter.png" style="border-width:0" /></a>
10</noscript><!-- End GoStats JavaScript Based Code -->
11
12</head>
13
14<body BGCOLOR="#ffffff" TEXT="#000000" LINK="#004080" ALINK="#cc0033">
15<div align="center"><center>
16
17<table border="0" width="600" cellspacing="0" cellpadding="0">
18  <tr>
19    <td width="100%" height="30" bgcolor="#99cccc"><table border="0" width="100%"
20    cellspacing="0" cellpadding="0">
21      <tr>
22        <td width="450"><font size="4"><strong>&nbsp; <a href="http://www.probability.net"
23        target="_top">www.probability.net</a></strong></font></td>
24        <td width="150"></td>
25      </tr>
26    </table>
27    </td>
28  </tr>
29  <tr>
30    <td width="100%" height="60"><p align="center"><br>
31    <a href="https://www.amazon.com">
32	<img border="0" src="images/468x60_anim.gif" width="430" height="117"></a><br>
33    </td>
34  </tr>
35  <tr>
36    <td width="100%"><hr size="1">
37    </td>
38  </tr>
39  <tr>
40    <td width="100%"><table border="0" width="100%" cellspacing="0" cellpadding="0">
41      <tr>
42        <td width="450"><font size="5"><strong>Probability Tutorials</strong></font></td>
43        <td width="150"><p align="center"><font size="5"><strong>C</strong></font></td>
44      </tr>
45    </table>
46    </td>
47  </tr>
48  <tr>
49    <td width="100%"><table border="0" width="100%" cellspacing="0" cellpadding="0">
50      <tr>
51        <td width="450" height="20" bgcolor="#99cccc" valign="top"><table border="0" width="100%"
52        cellspacing="0" cellpadding="0">
53          <tr>
54            <td width="18%"><strong><font size="2">&nbsp; </font><font size="3">Index C</font></strong></td>
55            <td width="82%"><font size="2"><strong>&nbsp; <a href="IndexA.html" target="_self">A</a></strong>
56            | <a href="IndexB.html" target="_self"><strong>B</strong></a> | <strong><a
57            href="IndexC.html" target="_self">C</a></strong> | <a href="IndexD.html" target="_self"><strong>D</strong></a>
58            | <a href="IndexE.html" target="_self"><strong>E</strong></a> | <a href="IndexF.html"
59            target="_self"><strong>F</strong></a> | <a href="IndexG.html" target="_self"><strong>G</strong></a>
60            | <a href="IndexH.html" target="_self"><strong>H</strong></a> | <a href="IndexI.html"
61            target="_self"><strong>I</strong></a> | <a href="IndexJ.html" target="_self"><strong>J</strong></a>
62            | <strong><a href="IndexL.html" target="_self">L</a></strong> | <a href="IndexM.html"
63            target="_self"><strong>M</strong></a> | <a href="IndexN.html" target="_self"><strong>N</strong></a>
64            | <a href="IndexO.html" target="_self"><strong>O</strong></a> | <a href="IndexP.html"
65            target="_self"><strong>P</strong></a> | <a href="IndexR.html" target="_self"><strong>R</strong></a>
66            | <a href="IndexS.html" target="_self"><strong>S</strong></a> | <a href="IndexT.html"
67            target="_self"><strong>T</strong></a> | <a href="IndexU.html" target="_self"><strong>U</strong></a>
68            | <a href="IndexV.html" target="_self"><strong>V</strong></a> | <a href="IndexW.html"
69            target="_self"><strong>W</strong></a></font></td>
70          </tr>
71        </table>
72        </td>
73        <td width="150" height="20" bgcolor="#99cccc" valign="top"><strong>&nbsp; Contents</strong></td>
74      </tr>
75      <tr>
76        <td width="450" valign="top"><table border="0" width="100%" cellspacing="0"
77        cellpadding="0" height="1616">
78          <tr>
79            <td width="10%" height="21"></td>
80            <td width="25%"><font size="3"><strong><a href="WEBfinitevar.pdf#cadlag:map"
81            target="_self">Cadlag</a>:</strong></font></td>
82            <td width="65%"><font size="2"><font color="#008000">Cadlag</font>: &quot;Continue a
83            droite, limite a gauche&quot;, RCLL</font></td>
84          </tr>
85          <tr>
86            <td width="10%" height="21"></td>
87            <td width="25%"><strong><a href="WEBfinitevar.pdf#cadlag:map:locally:bounded"
88            target="_self">Cadlag</a>:</strong></td>
89            <td width="65%"><font size="2"><font color="#008000">Cadlag</font> map and its
90            left-limits, bounded on compacts </font></td>
91          </tr>
92          <tr>
93            <td width="10%" height="21"></td>
94            <td width="25%"><strong><a href="WEBdifferentiation.pdf#fundamental:calculus:theorem"
95            target="_self">Calculus</a>:</strong></td>
96            <td width="65%"><font size="2">Fundamental <font color="#008000">calculus</font> theorem</font></td>
97          </tr>
98          <tr>
99            <td width="10%" height="21"></td>
100            <td width="25%" height="21"><font size="3"><strong><a
101            href="http://turnbull.dcs.st-and.ac.uk/history/Mathematicians/Caratheodory.html"
102            target="_top">Caratheodory</a>:</strong></font></td>
103            <td width="65%" height="21"><font size="2">MacTutor History of Math</font></td>
104          </tr>
105          <tr>
106            <td width="10%" height="21"></td>
107            <td width="25%" height="21"><font size="3"><strong><a
108            href="WEBcaratheodory.pdf#caratheodory:extension" target="_self">Caratheodory</a>:</strong></font></td>
109            <td width="65%" height="21"><font size="2"><font color="#008000">Caratheodory</font>
110            extension theorem</font></td>
111          </tr>
112          <tr>
113            <td width="10%" height="21"></td>
114            <td width="25%"><strong><a href="WEBdifferentiation.pdf#vitali:theorem" target="_self">Caratheodory</a>:</strong></td>
115            <td width="65%"><font size="2">Vitali-<font color="#008000">Caratheodory</font> theorem</font></td>
116          </tr>
117          <tr>
118            <td width="10%" height="21"></td>
119            <td width="25%" height="21"><font size="3"><strong><a
120            href="WEBproduct.pdf#cartesian:product">Cartesian</a>:</strong></font></td>
121            <td width="65%" height="21"><font size="2"><font color="#008000">Cartesian</font> product</font></td>
122          </tr>
123          <tr>
124            <td width="10%" height="21"></td>
125            <td width="25%" height="21"><font size="3"><strong><a
126            href="http://turnbull.dcs.st-and.ac.uk/history/Mathematicians/Cauchy.html" target="_top">Cauchy</a>:</strong></font></td>
127            <td width="65%" height="21"><font size="2">MacTutor History of Math</font></td>
128          </tr>
129          <tr>
130            <td width="10%" height="21"></td>
131            <td width="25%" height="21"><font size="3"><strong><a
132            href="WEBbounded.pdf#cauchy:sequence" target="_self">Cauchy</a>:</strong></font></td>
133            <td width="65%" height="21"><font size="2"><font color="#008000">Cauchy</font> sequence</font></td>
134          </tr>
135          <tr>
136            <td width="10%" height="21"></td>
137            <td width="25%" height="21"><font size="3"><strong><a
138            href="WEBspaces.pdf#cauchy:sequence:in:lp" target="_self">Cauchy</a>:</strong></font></td>
139            <td width="65%" height="21"><font size="2"><font color="#008000">Cauchy</font> sequence in
140            Lp</font></td>
141          </tr>
142          <tr>
143            <td width="10%" height="21"></td>
144            <td width="25%" height="21"><font size="3"><strong><a
145            href="WEBspaces.pdf#cauchy:schwarz:first" target="_self">Cauchy</a>:</strong></font></td>
146            <td width="65%" height="21"><font size="2"><font color="#008000">Cauchy</font>-Schwarz
147            inequality [first]</font></td>
148          </tr>
149          <tr>
150            <td width="10%" height="21"></td>
151            <td width="25%" height="21"><font size="3"><strong><a
152            href="WEBbounded.pdf#cauchy:schwarz:second" target="_self">Cauchy</a>:</strong></font></td>
153            <td width="65%" height="21"><font size="2"><font color="#008000">Cauchy</font>-Schwarz
154            inequality [second]</font></td>
155          </tr>
156          <tr>
157            <td width="10%" height="21"></td>
158            <td width="25%"><strong><a href="WEBstieltjesint.pdf#stieltjes:integral:change:of:time"
159            target="_self">Change</a>:</strong></td>
160            <td width="65%"><font size="2"><font color="#008000">Change</font> of time formula for
161            stieltjes integral on <strong>R</strong></font><font size="1">+</font></td>
162          </tr>
163          <tr>
164            <td width="10%" height="21"></td>
165            <td width="25%" height="21"><font size="3"><strong><a
166            href="WEBintegral.pdf#characteristic:function:of:a:set" target="_self">Characteristic</a>:</strong></font></td>
167            <td width="65%" height="21"><font size="2"><font color="#008000">Characteristic</font>
168            function of a set</font></td>
169          </tr>
170          <tr>
171            <td width="10%" height="21"></td>
172            <td width="25%"><font size="3"><strong><a
173            href="WEBfourier.pdf#characteristic:function:fourier" target="_self">Characteristic</a>:</strong></font></td>
174            <td width="65%"><font size="2"><font color="#008000">Characteristic</font> function of <strong>R</strong></font><font
175            size="1">n</font><font size="2">-valued random variable</font></td>
176          </tr>
177          <tr>
178            <td width="10%" height="21"></td>
179            <td width="25%"><strong><a target="_self" href="WEBfourier.pdf#same:CF:same:distribution">Characteristic</a>:</strong></td>
180            <td width="65%"><font size="2"><font color="#008000">Characterictic</font> function
181            determines distribution</font></td>
182          </tr>
183          <tr>
184            <td width="10%" height="21"></td>
185            <td width="25%"><strong><a target="_self" href="WEBgaussian.pdf#gaussian:vector:criterion">Characteristic</a>:</strong></td>
186            <td width="65%"><font size="2"><font color="#008000">Characteristic</font> function of
187            gaussian vector</font></td>
188          </tr>
189          <tr>
190            <td width="10%" height="21"></td>
191            <td width="25%"><strong><a target="_self" href="WEBgaussian.pdf#gaussian:rv:criterion">Characteristic</a>:</strong></td>
192            <td width="65%"><font size="2"><font color="#008000">Characteristic</font> function of
193            normal random variable</font></td>
194          </tr>
195          <tr>
196            <td width="10%" height="21"></td>
197            <td width="25%" height="21"><font size="3"><strong><a
198            href="WEBproduct.pdf#axiom:of:choice">Choice</a>:</strong></font></td>
199            <td width="65%" height="21"><font size="2">Axiom of <font color="#008000">choice</font></font></td>
200          </tr>
201          <tr>
202            <td width="10%" height="21"></td>
203            <td width="25%"><font size="3"><strong><a href="WEBjacobian.pdf#class:c1" target="_self">Class</a>:</strong></font><font
204            size="1">(C1)</font></td>
205            <td width="65%"><font size="2">Maps of <font color="#008000">class</font> C</font><font
206            size="1">1</font></td>
207          </tr>
208          <tr>
209            <td width="10%" height="21"></td>
210            <td width="25%"><strong><a href="WEBjacobian.pdf#composition:class:c1" target="_self">Class</a>:</strong><font
211            size="1">(C1)</font></td>
212            <td width="65%"><font size="2">Composition of two maps of <font color="#008000">class</font>
213            C</font><font size="1">1</font></td>
214          </tr>
215          <tr>
216            <td width="10%" height="21"></td>
217            <td width="25%"><strong><a href="WEBjacobian.pdf#class:c1:criterion" target="_self">Class</a>:</strong><font
218            size="1">(C1)</font></td>
219            <td width="65%"><font size="2">Criterion for maps of <font color="#008000">class</font> C</font><font
220            size="1">1</font></td>
221          </tr>
222          <tr>
223            <td width="10%" height="21"></td>
224            <td width="25%"><font size="3"><strong><a href="WEBfourier.pdf#map:class:ck"
225            target="_self">Class</a>:</strong></font><font size="1">(Ck)</font></td>
226            <td width="65%"><font size="2">Maps of <font color="#008000">class</font> C</font><font
227            size="1">k</font></td>
228          </tr>
229          <tr>
230            <td width="10%" height="21"></td>
231            <td width="25%" height="21"><font size="3"><strong><a href="WEBdynkin.pdf#pi:system"
232            target="_self">Closed</a>:</strong></font></td>
233            <td width="65%" height="21"><font size="2"><font color="#008000">Closed</font><strong> </strong>under
234            finite intersection</font></td>
235          </tr>
236          <tr>
237            <td width="10%" height="21"></td>
238            <td width="25%" height="21"><font size="3"><strong><a href="WEBstieltjesmeas.pdf#open:set"
239            target="_self">Closed</a>:</strong></font></td>
240            <td width="65%" height="21"><font size="2"><font color="#008000">Closed</font> set</font></td>
241          </tr>
242          <tr>
243            <td width="10%" height="21"></td>
244            <td width="25%" height="21"><font size="3"><strong><a
245            href="WEBjensen.pdf#compact:is:closed" target="_self">Closed</a>:</strong></font></td>
246            <td width="65%" height="21"><font size="2">Compact subsets are <font color="#008000">closed
247            </font><font color="#000000">when hausdorff</font></font></td>
248          </tr>
249          <tr>
250            <td width="10%" height="21"></td>
251            <td width="25%" height="21"><font size="3"><strong><a
252            href="WEBbounded.pdf#closed:convex:subset" target="_self">Closed</a>:</strong></font></td>
253            <td width="65%" height="21"><font size="2">Projection on a <font color="#008000">closed </font>and
254            convex subset</font></td>
255          </tr>
256          <tr>
257            <td width="10%" height="21"></td>
258            <td width="25%" height="21"><strong><a href="WEBnikodym.pdf#average:integral"
259            target="_self">Closed</a>:</strong></td>
260            <td width="65%" height="21"><font size="2">Integral average lying in <font color="#008000">closed</font>
261            subset of&nbsp; <strong>C</strong></font></td>
262          </tr>
263          <tr>
264            <td width="10%" height="21"></td>
265            <td width="25%" height="21"><strong><a href="WEBregularity.pdf#approx:borel:closed:open"
266            target="_self">Closed</a>:</strong></td>
267            <td width="65%" height="21"><font size="2">Approximation of borel set, by <font
268            color="#008000">closed</font>, open subsets </font></td>
269          </tr>
270          <tr>
271            <td width="10%" height="21"></td>
272            <td width="25%" height="21"><font size="3"><strong><a
273            href="WEBmeasurability.pdf#closure:of:a:set" target="_self">Closure</a>:</strong></font></td>
274            <td width="65%" height="21"><font size="2"><font color="#008000">Closure</font> of a set</font></td>
275          </tr>
276          <tr>
277            <td width="10%" height="21"></td>
278            <td width="25%" height="21"><font size="3"><strong><a
279            href="WEBregularity.pdf#sigma:compact" target="_self">Compact:</a></strong></font><font
280            size="1">(sigma)</font></td>
281            <td width="65%" height="21"><font size="2">Sigma-<font color="#008000">compact</font>
282            topological space</font></td>
283          </tr>
284          <tr>
285            <td width="10%" height="21"></td>
286            <td width="25%" height="21"><strong><a href="WEBregularity.pdf#induced:sigma:compact"
287            target="_self">Compact</a>:</strong><font size="1">(sigma)</font></td>
288            <td width="65%" height="21"><font size="2">Sigma-<font color="#008000">compact</font>ness
289            preserved on open sets</font></td>
290          </tr>
291          <tr>
292            <td width="10%" height="21"></td>
293            <td width="25%" height="21"><strong><a
294            href="WEBregularity.pdf#metric:sigma:compact:implies:separable" target="_self">Compact</a>:</strong><font
295            size="1">(sigma)</font></td>
296            <td width="65%" height="21"><font size="2">Sigma-<font color="#008000">compact</font>
297            metric space is separable</font></td>
298          </tr>
299          <tr>
300            <td width="10%" height="21"></td>
301            <td width="25%" height="21"><strong><a
302            href="WEBregularity.pdf#locally:finite:metric:si
302gma:compact:implies:regular"
303            target="_self">Compact</a>:</strong><font size="1">(sigma)</font></td>
304            <td width="65%" height="21"><font size="2">L.&nbsp; finite measure on sigma-<font
305            color="#008000">compact</font> metric is regular</font></td>
306          </tr>
307          <tr>
308            <td width="10%" height="21"></td>
309            <td width="25%" height="21"><a href="WEBregularity.pdf#strongly:sigma:compact"
310            target="_self"><font size="3"><strong>Compact:</strong></font></a><font size="1">(s.
311            sigma)</font></td>
312            <td width="65%" height="21"><font size="2">Strongly sigma-<font color="#008000">compact</font>
313            topological space </font></td>
314          </tr>
315          <tr>
316            <td width="10%" height="21"></td>
317            <td width="25%" height="21"><strong><a
318            href="WEBregularity.pdf#strongly:sigma:compact:criterion" target="_self">Compact</a>:</strong><font
319            size="1">(s. sigma)</font></td>
320            <td width="65%" height="21"><font size="2">Strongly sigma-<font color="#008000">compact</font>
321            is locally and sigma-compact</font></td>
322          </tr>
323          <tr>
324            <td width="10%" height="21"></td>
325            <td width="25%" height="21"><strong><a
326            href="WEBregularity.pdf#induced:strongly:sigma:compact" target="_self">Compact</a>:</strong><font
327            size="1">(s. sigma)</font></td>
328            <td width="65%" height="21"><font size="2">Strong sigma-<font color="#008000">compact</font>ness
329            preserved on open sets</font></td>
330          </tr>
331          <tr>
332            <td width="10%" height="21"></td>
333            <td width="25%" height="21"><font size="3"><strong><a
334            href="WEBjensen.pdf#compact:topological:space" target="_self">Compact</a>:</strong></font></td>
335            <td width="65%" height="21"><font size="2"><font color="#008000">Compact</font>
336            topological space</font></td>
337          </tr>
338          <tr>
339            <td width="10%" height="21"></td>
340            <td width="25%" height="21"><a href="WEBregularity.pdf#locally:compact" target="_self"><font
341            size="3"><strong>Compact:</strong></font></a></td>
342            <td width="65%" height="21"><font size="2">Locally <font color="#008000">compact</font>
343            topological space</font></td>
344          </tr>
345          <tr>
346            <td width="10%" height="21"></td>
347            <td width="25%" height="21"><font size="3"><strong><a href="WEBjensen.pdf#compact:subset"
348            target="_self">Compact</a>:</strong></font></td>
349            <td width="65%" height="21"><font size="2"><font color="#008000">Compact</font> subset</font></td>
350          </tr>
351          <tr>
352            <td width="10%" height="21"></td>
353            <td width="25%" height="21"><font size="3"><strong><a
354            href="WEBjensen.pdf#compactness:of:closed:interval" target="_self">Compact</a>:</strong></font></td>
355            <td width="65%" height="21"><font size="2">[a,b] is a <font color="#008000">compact</font>
356            subset of <strong>R</strong></font></td>
357          </tr>
358          <tr>
359            <td width="10%" height="21"></td>
360            <td width="25%" height="21"><font size="3"><strong><a
361            href="WEBjensen.pdf#compact:is:closed" target="_self">Compact</a>:</strong></font></td>
362            <td width="65%" height="21"><font size="2"><font color="#008000">Compact</font> subsets
363            are closed when hausdorff</font></td>
364          </tr>
365          <tr>
366            <td width="10%" height="21"></td>
367            <td width="25%" height="21"><font size="3"><strong><a
368            href="WEBjensen.pdf#compact:closed:bounded" target="_self">Compact</a>:</strong></font></td>
369            <td width="65%" height="21"><font size="2"><font color="#008000">Compact</font><font
370            color="#000000">ness</font> criterion in <strong>R</strong></font></td>
371          </tr>
372          <tr>
373            <td width="10%" height="21"></td>
374            <td width="25%" height="21"><font size="3"><strong><a
375            href="WEBbounded.pdf#compactness:criterion:in:rn" target="_self">Compact</a>:</strong></font></td>
376            <td width="65%" height="21"><font size="2" color="#008000">Compact</font><font size="2"
377            color="#000000">ness criterion in <strong>R</strong></font><font color="#000000" size="1">n</font></td>
378          </tr>
379          <tr>
380            <td width="10%" height="21"></td>
381            <td width="25%" height="21"><font size="3"><strong><a
382            href="WEBjensen.pdf#attained:extrema" target="_self">Compact</a>:</strong></font></td>
383            <td width="65%" height="21"><font size="2">Extrema of continuous map with <font
384            color="#008000">compact</font> domain</font></td>
385          </tr>
386          <tr>
387            <td width="10%" height="21"></td>
388            <td width="25%" height="21"><font size="3"><strong><a
389            href="WEBbounded.pdf#compact:convergent:subsequence" target="_self">Compact</a>:</strong></font></td>
390            <td width="65%" height="21"><font size="2">Convergent sub-sequence in <font
391            color="#008000">compact</font> metric space</font></td>
392          </tr>
393          <tr>
394            <td width="10%" height="21"></td>
395            <td width="25%" height="21"><font size="3"><strong><a
396            href="WEBregularity.pdf#space:continuous:compact:support" target="_self">Compact:</a></strong></font><font
397            size="1">(support)</font></td>
398            <td width="65%" height="21"><font size="2">Space of continuous maps with <font
399            color="#008000">compact</font> support</font></td>
400          </tr>
401          <tr>
402            <td width="10%" height="21"></td>
403            <td width="25%"><strong><a href="WEBregularity.pdf#ccs:between:compact:open"
404            target="_self">Compact</a>:</strong><font size="1">(support)</font></td>
405            <td width="65%"><font size="2">Continuous with <font color="#008000">compact</font>
406            support between <font color="#008000">K</font> and G</font></td>
407          </tr>
408          <tr>
409            <td width="10%" height="21"></td>
410            <td width="25%"><strong><a href="WEBregularity.pdf#ccs:dense:lp" target="_self">Compact</a>:</strong><font
411            size="1">(support)</font></td>
412            <td width="65%"><font size="2">Continuous with <font color="#008000">compact</font>
413            support maps dense in L</font><font size="1">p</font><font size="2"> </font></td>
414          </tr>
415          <tr>
416            <td width="10%" height="21"></td>
417            <td width="25%"><strong><a href="WEBregularity.pdf#ccs:dense:open:subset:rn"
418            target="_self">Compact</a>:</strong><font size="1">(support)</font></td>
419            <td width="65%"><font size="2">Continuous with <font color="#008000">compact</font>
420            support, open subset of <strong>R</strong></font><font size="1">n</font></td>
421          </tr>
422          <tr>
423            <td width="10%" height="21"></td>
424            <td width="25%" height="21"><font size="3"><strong><a href="WEBspaces.pdf#lp:is:complete"
425            target="_self">Complete</a>:</strong></font></td>
426            <td width="65%" height="21"><font size="2">Lp is <font color="#008000">complete</font></font></td>
427          </tr>
428          <tr>
429            <td width="10%" height="21"></td>
430            <td width="25%" height="21"><font size="3"><strong><a href="WEBbounded.pdf#complete"
431            target="_self">Complete</a>:</strong></font></td>
432            <td width="65%" height="21"><font size="2"><font color="#008000">Complete</font> metric
433            space</font></td>
434          </tr>
435          <tr>
436            <td width="10%" height="21"></td>
437            <td width="25%" height="21"><font size="3"><strong><a href="WEBbounded.pdf#rn:is:complete"
438            target="_self">Complete</a>:</strong></font></td>
439            <td width="65%" height="21"><font size="2"><strong>R</strong></font><font size="1">n</font><font
440            size="2"> and <strong>C</strong></font><font size="1">n</font><font size="2"> are <font
441            color="#008000">complete</font></font></td>
442          </tr>
443          <tr>
444            <td width="10%" height="21"></td>
445            <td width="25%" height="21"><font size="3"><strong><a
446            href="WEBcomplex.pdf#complex:measure" target="_self">Complex</a>:</strong></font><font
447            size="1">(measure)</font></td>
448            <td width="65%" height="21"><font size="2"><font color="#008000">Complex</font> measure</font></td>
449          </tr>
450          <tr>
451            <td width="10%" height="21"></td>
452            <td width="25%" height="21"><font size="3"><strong><a
453            href="WEBnikodym.pdf#integral:complex:measure" target="_self">Complex:</a></strong></font><font
454            size="1">(measure)</font></td>
455            <td width="65%" height="21"><font size="2">Lebesgue integral w.r. to <font color="#008000">complex</font>
456            measure</font></td>
457          </tr>
458          <tr>
459            <td width="10%" height="21"></td>
460            <td width="25%" height="21"><a href="WEBnikodym.pdf#partial:integral:complex"
461            target="_self"><font size="3"><strong>Complex:</strong></font></a><font size="1">(measure)</font></td>
462            <td width="65%" height="21"><font size="2">Partial lebesgue integral w.r. to <font
463            color="#008000">complex </font>measure</font></td>
464          </tr>
465          <tr>
466            <td width="10%" height="21"></td>
467            <td width="25%" height="21"><strong><a href="WEBnikodym.pdf#radon:nikodym:complex"
468            target="_self">Complex</a>:</strong><font size="1">(measure)</font></td>
469            <td width="65%" height="21"><font size="2">Radon-Nikodym theorem for <font color="#008000">complex</font>
470            measure</font></td>
471          </tr>
472          <tr>
473            <td width="10%" height="21"></td>
474            <td width="25%" height="21"><strong><a href="WEBnikodym.pdf#total:variation:density"
475            target="_self">Complex</a>:</strong><font size="1">(measure)</font></td>
476            <td width="65%" height="21"><font size="2">Density of <font color="#008000">complex</font>
477            measure w.r. to total variation </font></td>
478          </tr>
479          <tr>
480            <td width="10%" height="21"></td>
481            <td width="25%" height="21"><strong><a href="WEBnikodym.pdf#product:measure:complex"
482            target="_self">Complex</a>:</strong><font size="1">(measure)</font></td>
483            <td width="65%" height="21"><font size="2">Finite product of <font color="#008000">complex</font>
484            measures</font></td>
485          </tr>
486          <tr>
487            <td width="10%" height="21"></td>
488            <td width="25%" height="21"><strong><a
489            href="WEBregularity.pdf#complex:measure:coinciding:cb" target="_self">Complex</a>:</strong><font
490            size="1">(measure)</font></td>
491            <td width="65%" height="21"><font size="2">Continuous, bounded maps separate <font
492            color="#008000">complex</font> measure </font></td>
493          </tr>
494          <tr>
495            <td width="10%" height="21"></td>
496            <td width="25%"><font size="3"><strong><a href="WEBfourier.pdf#convolution:measure"
497            target="_self">Complex</a>:</strong></font><font size="1">(measure)</font></td>
498            <td width="65%"><font size="2">Convolution of <font color="#008000">complex</font>
499            measures</font></td>
500          </tr>
501          <tr>
502            <td width="10%" height="21"></td>
503            <td width="25%"><font size="3"><strong><a href="WEBfourier.pdf#fourier:transform"
504            target="_self">Complex</a>:</strong></font><font size="1">(measure)</font></td>
505            <td width="65%"><font size="2">Fourier transform of <font color="#008000">complex</font>
506            measure</font></td>
507          </tr>
508          <tr>
509            <td width="10%" height="21"></td>
510            <td width="25%"><font size="3"><strong><a
511            href="WEBfinitevar.pdf#complex:stieltjes:measure" target="_self">Complex</a>:</strong></font><font
512            size="1">(stieltjes)</font></td>
513            <td width="65%"><font size="2"><font color="#008000">Complex</font> stieltjes measure on <strong>R</strong></font><font
514            size="1">+</font></td>
515          </tr>
516          <tr>
517            <td width="10%" height="21"></td>
518            <td width="25%"><strong><a href="WEBfinitevar.pdf#fundamental:total:variation"
519            target="_self">Complex</a>:</strong><font size="1">(stieltjes)</font></td>
520            <td width="65%"><font size="2">Total variation of <font color="#008000">complex</font>
521            stieltjes measure</font></td>
522          </tr>
523          <tr>
524            <td width="10%" height="21"></td>
525            <td width="25%"><strong><a href="WEBstieltjesint.pdf#fa:complex:stieltjes:measure"
526            target="_self">Complex</a>:</strong><font size="1">(stieltjes)</font></td>
527            <td width="65%"><font size="2">Stieltjes <font color="#008000">complex</font> measure
528            associated with integral</font></td>
529          </tr>
530          <tr>
531            <td width="10%" height="21"></td>
532            <td width="25%" height="21"><a href="WEBregularity.pdf#complex:simple:function"
533            target="_self"><font size="3"><strong>Complex:</strong></font></a></td>
534            <td width="65%" height="21"><font size="2"><font color="#008000">Complex</font> simple
535            function</font></td>
536          </tr>
537          <tr>
538            <td width="10%" height="21"></td>
539            <td width="25%" height="21"><strong><a href="WEBregularity.pdf#simple:function:dense:lp"
540            target="_self">Complex</a>:</strong></td>
541            <td width="65%" height="21"><font size="2"><font color="#008000">Complex</font> simple
542            functions are dense in L</font><font size="1">p</font></td>
543          </tr>
544          <tr>
545            <td width="10%" height="21"></td>
546            <td width="25%"><strong><a href="WEBjacobian.pdf#composition:differential" target="_self">Composition</a>:</strong></td>
547            <td width="65%"><font size="2">Differential of <font color="#008000">composition</font> of
548            two maps</font></td>
549          </tr>
550          <tr>
551            <td width="10%" height="21"></td>
552            <td width="25%"><strong><a href="WEBjacobian.pdf#composition:class:c1" target="_self">Composition</a>:</strong></td>
553            <td width="65%"><font size="2"><font color="#008000">Composition</font> of two maps of
554            class C</font><font size="1">1</font></td>
555          </tr>
556          <tr>
557            <td width="10%" height="21"></td>
558            <td width="25%"><font size="3"><strong><a href="WEBdifferentiation.pdf#connected:subset"
559            target="_self">Connected</a>:</strong></font></td>
560            <td width="65%"><font size="2"><font color="#008000">Connected</font> subset</font></td>
561          </tr>
562          <tr>
563            <td width="10%" height="21"></td>
564            <td width="25%"><font size="3"><strong><a
565            href="WEBdifferentiation.pdf#connected:topological:space" target="_self">Connected</a>:</strong></font></td>
566            <td width="65%"><font size="2"><font color="#008000">Connected</font> topological space</font></td>
567          </tr>
568          <tr>
569            <td width="10%" height="21"></td>
570            <td width="25%"><strong><a href="WEBdifferentiation.pdf#r:is:connected" target="_self">Connected</a>:</strong></td>
571            <td width="65%"><font size="2"><strong>R</strong> is <font color="#008000">connected</font></font></td>
572          </tr>
573          <tr>
574            <td width="10%" height="21"></td>
575            <td width="25%"><strong><a href="WEBdifferentiation.pdf#connectedness:criterion:in:r"
576            target="_self">Connected</a>:</strong></td>
577            <td width="65%"><font size="2"><font color="#008000">Connected</font> subsets of <strong>R</strong>
578            are intervals</font></td>
579          </tr>
580          <tr>
581            <td width="10%" height="21"></td>
582            <td width="25%"><strong><a href="WEBdifferentiation.pdf#connected:continuous:image"
583            target="_self">Connected</a>:</strong></td>
584            <td width="65%"><font size="2">Direct image of <font color="#008000">connected</font>
585            space by continuous map</font></td>
586          </tr>
587          <tr>
588            <td width="10%" height="21"></td>
589            <td width="25%"><strong><a href="WEBdifferentiation.pdf#intermediate:values"
590            target="_self">Connected</a>:</strong></td>
591            <td width="65%"><font size="2">Intermediate values theorem for <font color="#008000">connected</font>
592            space</font></td>
593          </tr>
594          <tr>
595            <td width="10%" height="21"></td>
596            <td width="25%" height="21"><font size="3"><strong><a
597            href="WEBstieltjesmeas.pdf#increasing:sequences:of:sets" target="_self">Continuous</a>:</strong></font></td>
598            <td width="65%" height="21"><font size="2">Upward <font color="#008000">continuity</font>
599            of measure</font></td>
600          </tr>
601          <tr>
602            <td width="10%" height="21"></td>
603            <td width="25%" height="21"><font size="3"><strong><a
604            href="WEBstieltjesmeas.pdf#decreasing:sequences:of:sets" target="_self">Continuous</a>:</strong></font></td>
605            <td width="65%" height="21"><font size="2">Downward <font color="#008000">continuity</font>
606            of measure</font></td>
607          </tr>
608          <tr>
609            <td width="10%" height="21"></td>
610            <td width="25%"><strong><a target="_self" href="WEBfourier.pdf#narrow:limit:convolution">Continuous</a>:</strong></td>
611            <td width="65%"><font size="2">Weak <font color="#008000">continuity</font> of convolution</font></td>
612          </tr>
613          <tr>
614            <td width="10%" height="21"></td>
615            <td width="25%"><strong><a target="_self" href="WEBfourier.pdf#narrow:limit:convolution">Continuous</a>:</strong></td>
616            <td width="65%"><font size="2">Narrow <font color="#008000">continuity</font> of
617            convolution</font></td>
618          </tr>
619          <tr>
620            <td width="10%" height="21"></td>
621            <td width="25%" height="21"><a href="WEBnikodym.pdf#absolute:continuity:measure"
622            target="_self"><font size="3"><strong>Continuous:</strong></font></a><font size="1">(abs.)</font></td>
623            <td width="65%" height="21"><font size="2">Absolute <font color="#008000">continuity</font>
624            of a measure w.r. to another</font></td>
625          </tr>
626          <tr>
627            <td width="10%" height="21"></td>
628            <td width="25%" height="21"><strong><a href="WEBnikodym.pdf#absolute:continuity:criteria"
629            target="_self">Continuous</a>:</strong><font size="1">(abs.)</font></td>
630            <td width="65%" height="21"><font size="2">Absolute <font color="#008000">continuity</font>
631            criterion between measures</font></td>
632          </tr>
633          <tr>
634            <td width="10%" height="21"></td>
635            <td width="25%"><strong><a
636            href="WEBjacobian.pdf#law:of:c1:diffeomorphism:absolutely:continuous" target="_self">Continuous</a>:</strong><font
637            size="1">(abs.)</font></td>
638            <td width="65%"><font size="2">Absolute <font color="#008000">continuity</font> of image
639            measure by C</font><font size="1">1</font><font size="2">-diffeom.</font></td>
640          </tr>
641          <tr>
642            <td width="10%" height="21"></td>
643            <td width="25%"><font size="3"><strong><a
644            href="WEBstieltjesint.pdf#absolutely:continuous:map" target="_self">Continuous</a>:</strong></font><font
645            size="1">(abs.)</font></td>
646            <td width="65%"><font size="2">Absolute <font color="#008000">continuity</font> of a map
647            on <strong>R</strong></font><font size="1">+</font><font size="2">, w.r. to another</font></td>
648          </tr>
649          <tr>
650            <td width="10%" height="21"></td>
651            <td width="25%"><font size="3"><strong><a
652            href="WEBdifferentiation.pdf#absolutely:continuous:lebesgue" target="_self">Continuous</a>:</strong></font><font
653            size="1">(abs.)</font></td>
654            <td width="65%"><font size="2">Absolute <font color="#008000">continuity</font> of a map
655            on <strong>R</strong></font><font size="1">+</font></td>
656          </tr>
657          <tr>
658            <td width="10%" height="21"></td>
659            <td width="25%"><strong><a href="WEBstieltjesint.pdf#radon:nikodym:map" target="_self">Continuous</a>:</strong><font
660            size="1">(abs.)</font></td>
661            <td width="65%"><font size="2">Existence of density when absolutely <font color="#008000">continuous</font>
662            map </font></td>
663          </tr>
664          <tr>
665            <td width="10%" height="21"></td>
666            <td width="25%"><strong><a
667            href="WEBdifferentiation.pdf#absolutely:continuous:differentiable" target="_self">Continuous</a>:</strong><font
668            size="1">(abs.)</font></td>
669            <td width="65%"><font size="2">Absolutely <font color="#008000">continuous</font>, almost
670            surely differentiable</font></td>
671          </tr>
672          <tr>
673            <td width="10%" height="21"></td>
674            <td width="25%"><strong><a target="_self" href="WEBfourier.pdf#convolution:AC">Continuous</a>:</strong><font
675            size="1">(abs.)</font></td>
676            <td width="65%"><font size="2">Absolute <font color="#008000">continuity</font> of
677            convolution</font></td>
678          </tr>
679          <tr>
680            <td width="10%" height="21"></td>
681            <td width="25%" height="21"><font size="3"><strong><a
682            href="WEBmeasurability.pdf#continuous:map" target="_self">Continuous</a>:</strong></font></td>
683            <td width="65%" height="21"><font size="2"><font color="#008000">Continuous</font> map</font></td>
684          </tr>
685          <tr>
686            <td width="10%" height="21"></td>
687            <td width="25%" height="20"><font size="3"><strong><a
688            href="WEBjensen.pdf#attained:extrema" target="_self">Continuous</a>:</strong></font></td>
689            <td width="65%" height="20"><font size="2">Extrema of <font color="#008000">continuous</font>
690            map with compact domain</font></td>
691          </tr>
692          <tr>
693            <td width="10%" height="21"></td>
694            <td width="25%"><strong><a href="WEBdifferentiation.pdf#connected:continuous:image"
695            target="_self">Continuous</a>:</strong></td>
696            <td width="65%"><font size="2">Direct image of connected space by <font color="#008000">continuous</font>
697            map</font></td>
698          </tr>
699          <tr>
700            <td width="10%" height="21"></td>
701            <td width="25%"><strong><a href="WEBdifferentiation.pdf#intermediate:values"
702            target="_self">Continuous</a>:</strong></td>
703            <td width="65%"><font size="2">Intermediate values theorem for <font color="#008000">continuous</font>
704            map</font></td>
705          </tr>
706          <tr>
707            <td width="10%" height="21"></td>
708            <td width="25%" height="21">
708<a href="WEBregularity.pdf#space:continuous:bounded"
709            target="_self"><font size="3"><strong>Continuous:</strong></font></a><font size="1">(Cb)</font></td>
710            <td width="65%" height="21"><font size="2">Vector space of <font color="#008000">continuous
711            </font>and bounded maps</font></td>
712          </tr>
713          <tr>
714            <td width="10%" height="21"></td>
715            <td width="25%" height="21"><strong><a
716            href="WEBregularity.pdf#complex:measure:coinciding:cb" target="_self">Continuous</a>:</strong><font
717            size="1">(Cb)</font></td>
718            <td width="65%" height="21"><font size="2"><font color="#008000">Continuous</font>,
719            bounded maps separate complex measure </font></td>
720          </tr>
721          <tr>
722            <td width="10%" height="21"></td>
723            <td width="25%" height="21"><strong><a href="WEBregularity.pdf#cb:dense:lp" target="_self">Continuous</a>:</strong><font
724            size="1">(Cb)</font></td>
725            <td width="65%" height="21"><font size="2"><font color="#008000">Continuous</font>,
726            bounded maps dense in L</font><font size="1">p</font></td>
727          </tr>
728          <tr>
729            <td width="10%" height="21"></td>
730            <td width="25%" height="21"><a href="WEBregularity.pdf#space:continuous:compact:support"
731            target="_self"><font size="3"><strong>Continuous:</strong></font></a><font size="1">(Cc)</font></td>
732            <td width="65%" height="21"><font size="2">Space of <font color="#008000">continuous</font>
733            maps with compact support</font></td>
734          </tr>
735          <tr>
736            <td width="10%" height="21"></td>
737            <td width="25%"><strong><a href="WEBregularity.pdf#ccs:between:compact:open"
738            target="_self">Continuous</a>:</strong><font size="1">(Cc)</font></td>
739            <td width="65%"><font size="2"><font color="#008000">Continuous</font> with compact
740            support between K and G</font></td>
741          </tr>
742          <tr>
743            <td width="10%" height="21"></td>
744            <td width="25%"><strong><a href="WEBregularity.pdf#ccs:dense:lp" target="_self">Continuous</a>:</strong><font
745            size="1">(Cc)</font></td>
746            <td width="65%"><font size="2"><font color="#008000">Continuous</font> with compact
747            support maps dense in L</font><font size="1">p</font><font size="2"> </font></td>
748          </tr>
749          <tr>
750            <td width="10%" height="21"></td>
751            <td width="25%"><strong><a href="WEBregularity.pdf#ccs:dense:open:subset:rn"
752            target="_self">Continuous</a>:</strong><font size="1">(Cc)</font></td>
753            <td width="65%"><font size="2"><font color="#008000">Continuous</font> with compact
754            support, open subset of <strong>R</strong></font><font size="1">n</font></td>
755          </tr>
756          <tr>
757            <td width="10%" height="21"></td>
758            <td width="25%"><a href="WEBfinitevar.pdf#continuity:total:variation:map" target="_self"><strong>Continuous</strong></a><font
759            size="1">(right)</font></td>
760            <td width="65%"><font size="2">Right and left-<font color="#008000">continuity</font> of
761            total variation map.</font></td>
762          </tr>
763          <tr>
764            <td width="10%" height="21"></td>
765            <td width="25%"><a href="WEBfinitevar.pdf#cadlag:map" target="_self"><font size="3"><strong>Continuous</strong></font></a><font
766            size="1">(right)</font></td>
767            <td width="65%"><font size="2">Cadlag: right-<font color="#008000">continuous</font> with
768            left-limits, RCLL</font></td>
769          </tr>
770          <tr>
771            <td width="10%" height="21"></td>
772            <td width="25%"><font size="3"><strong><a
773            href="WEBdifferentiation.pdf#lower:semi:continuous" target="_self">Continuous</a>:</strong></font><font
774            size="1">(semi)</font></td>
775            <td width="65%"><font size="2">Lower (upper)-semi-<font color="#008000">continuous</font>
776            (l.s.c, u.s.c)</font></td>
777          </tr>
778          <tr>
779            <td width="10%" height="21"></td>
780            <td width="25%"><font size="3"><strong><a href="WEBjacobian.pdf#continuous:linear:map:E:F"
781            target="_self">Continuous</a>:</strong></font></td>
782            <td width="65%"><font size="2"><font color="#008000">Continuous</font> linear maps between
783            normed spaces</font></td>
784          </tr>
785          <tr>
786            <td width="10%" height="21"></td>
787            <td width="25%" height="21"><font size="3"><strong><a
788            href="WEBspaces.pdf#absolute:convergence:in:lp" target="_self">Convergence</a>:</strong></font></td>
789            <td width="65%" height="21"><font size="2">Absolute <font color="#008000">convergence</font>
790            in Lp</font></td>
791          </tr>
792          <tr>
793            <td width="10%" height="21"></td>
794            <td width="25%" height="21"><font size="3"><strong><a
795            href="WEBmeasurability.pdf#convergence:criterion:in:rb" target="_self">Convergence</a>:</strong></font></td>
796            <td width="65%" height="21"><font size="2"><font color="#008000">Convergence</font>
797            criterion in <u><strong>R</strong></u></font></td>
798          </tr>
799          <tr>
800            <td width="10%" height="21"></td>
801            <td width="25%" height="21"><font size="3"><strong><a
802            href="WEBintegral.pdf#monotone:convergence:theorem" target="_self">Convergence</a>:</strong></font></td>
803            <td width="65%" height="21"><font size="2">Monotone <font color="#008000">convergence</font>
804            theorem</font></td>
805          </tr>
806          <tr>
807            <td width="10%" height="21"></td>
808            <td width="25%" height="21"><font size="3"><strong><a
809            href="WEBintegral.pdf#dominated:convergence:theorem" target="_self">Convergence</a>:</strong></font></td>
810            <td width="65%" height="21"><font size="2">Dominated <font color="#008000">convergence</font>
811            theorem</font></td>
812          </tr>
813          <tr>
814            <td width="10%" height="21"></td>
815            <td width="25%" height="21"><font size="3"><strong><a
816            href="WEBspaces.pdf#converging:sequence" target="_self">Convergence</a>:</strong></font></td>
817            <td width="65%" height="21"><font size="2"><font color="#008000">Convergence</font> in Lp</font></td>
818          </tr>
819          <tr>
820            <td width="10%" height="21"></td>
821            <td width="25%" height="21"><strong><a href="WEBcomplex.pdf#permutation:implies:absolute"
822            target="_self">Convergence</a>:</strong></td>
823            <td width="65%" height="21"><font size="2">Permutation property implies absolute <font
824            color="#008000">convergence</font></font></td>
825          </tr>
826          <tr>
827            <td width="10%" height="21"></td>
828            <td width="25%"><font size="3"><strong><a href="WEBfourier.pdf#narrow:convergence"
829            target="_self">Convergence</a>:</strong></font></td>
830            <td width="65%"><font size="2">Narrow <font color="#008000">convergence</font> of complex
831            measures</font></td>
832          </tr>
833          <tr>
834            <td width="10%" height="21"></td>
835            <td width="25%"><font size="3"><strong><a href="WEBfourier.pdf#narrow:convergence"
836            target="_self">Convergence</a>:</strong></font></td>
837            <td width="65%"><font size="2">Weak <font color="#008000">convergence</font> of complex
838            measures</font></td>
839          </tr>
840          <tr>
841            <td width="10%" height="21"></td>
842            <td width="25%" height="21"><font size="3"><strong><a
843            href="WEBspaces.pdf#converging:sequence" target="_self">Convergent</a>:</strong></font></td>
844            <td width="65%" height="21"><font size="2"><font color="#008000">Convergent</font>
845            sequence</font></td>
846          </tr>
847          <tr>
848            <td width="10%" height="21"></td>
849            <td width="25%" height="21"><font size="3"><strong><a
850            href="WEBbounded.pdf#compact:convergent:subsequence" target="_self">Convergent</a>:</strong></font></td>
851            <td width="65%" height="21"><font size="2"><font color="#008000">Convergent</font>
852            subsequence in compact metric space</font></td>
853          </tr>
854          <tr>
855            <td width="10%" height="21"></td>
856            <td width="25%" height="21"><font size="3"><strong><a href="WEBjensen.pdf#convex:function"
857            target="_self">Convex</a>:</strong></font></td>
858            <td width="65%" height="21"><font size="2"><font color="#008000">Convex</font> function</font></td>
859          </tr>
860          <tr>
861            <td width="10%" height="21"></td>
862            <td width="25%" height="21"><font size="3"><strong><a href="WEBbounded.pdf#convex:subset"
863            target="_self">Convex</a>:</strong></font></td>
864            <td width="65%" height="21"><font size="2"><font color="#008000">Convex</font> subset</font></td>
865          </tr>
866          <tr>
867            <td width="10%" height="21"></td>
868            <td width="25%" height="21"><font size="3"><strong><a
869            href="WEBbounded.pdf#closed:convex:subset" target="_self">Convex</a>:</strong></font></td>
870            <td width="65%" height="21"><font size="2">Projection on a closed and <font
871            color="#008000">convex</font> subset</font></td>
872          </tr>
873          <tr>
874            <td width="10%" height="21"></td>
875            <td width="25%"><font size="3"><strong><a href="WEBfourier.pdf#convolution:measure"
876            target="_self">Convolution</a>:</strong></font></td>
877            <td width="65%"><font size="2"><font color="#008000">Convolution</font> of complex
878            measures</font></td>
879          </tr>
880          <tr>
881            <td width="10%" height="21"></td>
882            <td width="25%"><strong><a target="_self" href="WEBfourier.pdf#convolution:AC">Convolution</a>:</strong></td>
883            <td width="65%"><font size="2">Absolute continuity of <font color="#008000">convolution</font></font></td>
884          </tr>
885          <tr>
886            <td width="10%" height="21"></td>
887            <td width="25%"><strong><a target="_self" href="WEBfourier.pdf#narrow:limit:convolution">Convolution</a>:</strong></td>
888            <td width="65%"><font size="2">Weak continuity of <font color="#008000">convolution</font></font></td>
889          </tr>
890          <tr>
891            <td width="10%" height="21"></td>
892            <td width="25%"><strong><a target="_self" href="WEBfourier.pdf#narrow:limit:convolution">Convolution</a>:</strong></td>
893            <td width="65%"><font size="2">Narrow continuity of <font color="#008000">convolution</font></font></td>
894          </tr>
895          <tr>
896            <td width="10%" height="21"></td>
897            <td width="25%"><strong><a target="_self"
898            href="WEBgaussian.pdf#gaussian:vector:coordinates:criterion">Coordinates</a>:</strong></td>
899            <td width="65%"><font size="2">Gaussian vector criterion in terms of <font color="#008000">coordinates</font></font></td>
900          </tr>
901          <tr>
902            <td width="10%" height="21"></td>
903            <td width="25%"><font size="3"><strong><a href="WEBgaussian.pdf#variance" target="_self">Correlated</a>:</strong></font></td>
904            <td width="65%"><font size="2">Variance, covariance and un<font color="#008000">correlated</font>
905            variables</font></td>
906          </tr>
907          <tr>
908            <td width="10%" height="21"></td>
909            <td width="25%" height="21"><font size="3"><strong><a href="WEBproduct.pdf#countable:base">Countable
910            base</a>:</strong></font></td>
911            <td width="65%" height="21"><font size="2"><font color="#008000">Countable base</font> of
912            topological space</font></td>
913          </tr>
914          <tr>
915            <td width="10%" height="21"></td>
916            <td width="25%" height="21"><strong><a
917            href="WEBregularity.pdf#metric:sigma:compact:implies:separable" target="_self">Countable
918            base</a>:</strong></td>
919            <td width="65%" height="21"><font size="2">Sigma-compact metric space has a <font
920            color="#008000">countable base</font></font></td>
921          </tr>
922          <tr>
923            <td width="10%" height="21"></td>
924            <td width="25%" height="21"><font size="3"><strong><a
925            href="WEBproduct.pdf#countable:product:with:countable:base">Countable base</a>:</strong></font></td>
926            <td width="65%" height="21"><font size="2"><font color="#000000">Countable</font> product
927            with <font color="#008000">countable base</font></font></td>
928          </tr>
929          <tr>
930            <td width="10%" height="21"></td>
931            <td width="25%"><font size="3"><strong><a href="WEBgaussian.pdf#variance" target="_self">Covariance</a>:</strong></font></td>
932            <td width="65%"><font size="2">Variance, <font color="#008000">covariance</font> and
933            uncorrelated variables</font></td>
934          </tr>
935          <tr>
936            <td width="10%" height="21"></td>
937            <td width="25%"><strong><a target="_self" href="WEBgaussian.pdf#gaussian:first:2:moments">Covariance</a>:</strong></td>
938            <td width="65%"><font size="2">Mean and <font color="#008000">covariance</font> of
939            gaussian measure</font></td>
940          </tr>
941          <tr>
942            <td width="10%" height="21"></td>
943            <td width="25%"><strong><a target="_self" href="WEBgaussian.pdf#gaussian:vector:moments">Covariance</a>:</strong></td>
944            <td width="65%"><font size="2">Mean and <font color="#008000">covariance</font> of
945            gaussian vector</font></td>
946          </tr>
947          <tr>
948            <td width="10%" height="21"></td>
949            <td width="25%" height="21"><font size="3"><strong><a
950            href="WEBmeasurability.pdf#measurability:criterion" target="_self">Criterion</a>:</strong></font></td>
951            <td width="65%" height="21"><font size="2">Measurability <font color="#008000">criterion</font></font></td>
952          </tr>
953          <tr>
954            <td width="10%" height="21"></td>
955            <td width="25%" height="21"><font size="3"><strong><a
956            href="WEBmeasurability.pdf#measurability:criteria" target="_self">Criterion</a>:</strong></font></td>
957            <td width="65%" height="21"><font size="2">Measurability <font color="#008000">criteria</font>
958            in <strong><u>R</u></strong></font></td>
959          </tr>
960          <tr>
961            <td width="10%" height="21"></td>
962            <td width="25%" height="21"><font size="3"><strong><a
963            href="WEBmeasurability.pdf#convergence:criterion:in:rb" target="_self">Criterion</a>:</strong></font></td>
964            <td width="65%" height="21"><font size="2">Convergence <font color="#008000">criterion</font>
965            in <u><strong>R</strong></u></font></td>
966          </tr>
967          <tr>
968            <td width="10%" height="21"></td>
969            <td width="25%" height="21"><strong><a href="WEBjensen.pdf#compact:closed:bounded"
970            target="_self">Criterion</a>:</strong></td>
971            <td width="65%" height="21"><font size="2">Compactness <font color="#008000">criterion</font>
972            in <strong>R</strong></font></td>
973          </tr>
974          <tr>
975            <td width="10%" height="21"></td>
976            <td width="25%" height="21"><strong><a href="WEBnikodym.pdf#absolute:continuity:criteria"
977            target="_self">Criterion</a>:</strong></td>
978            <td width="65%" height="21"><font size="2">Absolute continuity <font color="#008000">criterion</font>
979            between measures</font></td>
980          </tr>
981          <tr>
982            <td width="10%" height="21"></td>
983            <td width="25%"><strong><a href="WEBjacobian.pdf#differentiability:criterion"
984            target="_self">Criterion</a>:</strong></td>
985            <td width="65%"><font size="2">Differentiability <font color="#008000">criterion</font></font></td>
986          </tr>
987          <tr>
988            <td width="10%" height="21"></td>
989            <td width="25%"><strong><a href="WEBjacobian.pdf#class:c1:criterion" target="_self">Criterion</a>:</strong></td>
990            <td width="65%"><font size="2"><font color="#008000">Criterion</font> for maps of class C</font><font
991            size="1">1</font></td>
992          </tr>
993          <tr>
994            <td width="10%" height="21"></td>
995            <td width="25%"><strong><a target="_self"
996            href="WEBgaussian.pdf#gaussian:vector:coordinates:criterion">Criterion</a>:</strong></td>
997            <td width="65%"><font size="2">Gaussian vector <font color="#008000">criterion</font> in
998            terms of coordinates</font></td>
999          </tr>
1000          <tr>
1001            <td width="10%" height="21"></td>
1002            <td width="25%"><font size="3"><strong><a href="WEBjacobian.pdf#class:c1" target="_self">C1</a>:</strong></font><font
1003            size="1">(Class)</font></td>
1004            <td width="65%"><font size="2">Maps of class </font><font color="#008000" size="2">C</font><font
1005            size="1" color="#008000">1</font></td>
1006          </tr>
1007          <tr>
1008            <td width="10%" height="21"></td>
1009            <td width="25%"><strong><a href="WEBjacobian.pdf#composition:class:c1" target="_self">C1</a>:</strong><font
1010            size="1">(Class)</font></td>
1011            <td width="65%"><font size="2">Composition of two maps of class </font><font
1012            color="#008000" size="2">C</font><font size="1" color="#008000">1</font></td>
1013          </tr>
1014          <tr>
1015            <td width="10%" height="21"></td>
1016            <td width="25%"><strong><a href="WEBjacobian.pdf#class:c1:criterion" target="_self">C1</a>:</strong><font
1017            size="1">(Class)</font></td>
1018            <td width="65%"><font size="2">Criterion for maps of class </font><font color="#008000"
1019            size="2">C</font><font size="1" color="#008000">1</font></td>
1020          </tr>
1021          <tr>
1022            <td width="10%" height="21"></td>
1023            <td width="25%"><font size="3"><strong><a href="WEBjacobian.pdf#c1:diffeomorphism"
1024            target="_self">C1</a>:</strong></font><font size="1">(Diffeomorphism)</font></td>
1025            <td width="65%"><font color="#008000"><font size="2">C</font><font size="1">1</font></font><font
1026            size="2">-diffeomorphism</font></td>
1027          </tr>
1028          <tr>
1029            <td width="10%" height="21"></td>
1030            <td width="25%"><strong><a
1031            href="WEBjacobian.pdf#law:of:c1:diffeomorphism:absolutely:continuous" target="_self">C1</a>:</strong><font
1032            size="1">(Diffeomorphism)</font></td>
1033            <td width="65%"><font size="2">Absolute continuity of image measure by </font><font
1034            color="#008000" size="2">C</font><font size="1" color="#008000">1</font><font size="2">-diffeom.</font></td>
1035          </tr>
1036          <tr>
1037            <td width="10%" height="21"></td>
1038            <td width="25%"><strong><a target="_self"
1039            href="WEBjacobian.pdf#image:measure:by:c1:diffeomorphism">C1</a>:</strong><font size="1">(Diffeomorphism)</font></td>
1040            <td width="65%"><font size="2">Image measure by </font><font color="#008000" size="2">C</font><font
1041            size="1" color="#008000">1</font><font size="2">
1041-diffeom. has jacobian density</font></td>
1042          </tr>
1043          <tr>
1044            <td width="10%" height="21"></td>
1045            <td width="25%"><font size="3"><strong><a href="WEBfourier.pdf#map:class:ck"
1046            target="_self">Ck</a>:</strong></font><font size="1">(Class)</font></td>
1047            <td width="65%"><font size="2">Maps of class </font><font color="#008000" size="2">C</font><font
1048            size="1" color="#008000">k</font></td>
1049          </tr>
1050        </table>
1051        </td>
1052        <td width="150" valign="top" bgcolor="eeeeee"><font size="3">&nbsp; <strong><a
1053        href="index.html" target="_self">Tutorials</a></strong><br>
1054        &nbsp; <a href="intro.html" target="_self">Introduction</a><br>
1055        &nbsp; <a href="definitions.html" target="_self">Definitions</a><br>
1056        &nbsp; <a href="theorems.html" target="_self">Theorems</a><br>
1057        &nbsp; <a href="solutions.html" target="_self">Solutions</a><br>
1058        &nbsp; <a href="printing.html" target="_self">Printing</a><br>
1059        &nbsp; <a href="history.html" target="_self">History</a><br>
1060        &nbsp; <a href="http://groups.yahoo.com/group/probability/" target="_top">Discussion</a><br>
1061        &nbsp; <a href="WEBnotations.pdf" target="_self">Notations</a><br>
1062        &nbsp; <a href="links.html" target="_self">Links</a><br>
1063        &nbsp; </font><a href="thanks.html" target="_self">Errors/Typos</a><font size="3"><br>
1064        &nbsp; <a href="mailto:[email protected]">Email</a> | </font><a
1065        href="mailto:[email protected]">Posting</a><br>
1066        <br>
1067        &nbsp; <font size="3"><a href="topology.html" target="_self">General Topology</a> <br>
1068        &nbsp; <a href="analysis.html" target="_self">Real Analysis</a></font><br>
1069        &nbsp; <a href="measure.html" target="_self">Measure Theory</a><br>
1070        <font size="3">&nbsp; <a href="books.html" target="_self">Probability Theory</a><br>
1071        &nbsp; <a target="_self" href="finance.html">Finance</a> </font><br>
1072        </td>
1073      </tr>
1074      <tr>
1075        <td width="450" valign="bottom"><p align="center"><font size="1">Copyright © 1999. All
1076        rights reserved</font></td>
1077        <td width="150" valign="top" bgcolor="eeeeee">&nbsp; <a href="index.html" target="_self"><strong>&lt;Home</strong></a></td>
1078      </tr>
1079    </table>
1080    </td>
1081  </tr>
1082</table>
1083</center></div><div style="visibility:hidden"><!-- Start of TheCounter.com Code -->
1084<script TYPE="text/javascript"
1085LANGUAGE="javascript">
1086s="na";c="na";j="na";f=""+escape(document.referrer)
1087</script>
vendor: 1 bytes, line 1087
1087
1088<script TYPE="text/javascript" LANGUAGE="javascript1.2">
1089s=screen.width;v=navigator.appName
1090if (v != "Netscape") {c=screen.colorDepth}
1091else {c=screen.pixelDepth}
1092j=navigator.javaEnabled()
1093</script>
vendor: 1 bytes, line 1093
1093
1094<script
1095TYPE="text/javascript" LANGUAGE="javascript">
1096function pr(n) {document.write(n,"\n");}
1097NS2Ch=0
1098if (navigator.appName == "Netscape" &&
1099navigator.appVersion.charAt(0) == "2") {NS2Ch=1}
1100if (NS2Ch == 0) {
1101r="&size="+s+"&colors="+c+"&referer="+f+"&java="+j+""
1102pr("<A HREF=\"http://www.TheCounter.com\" TARGET=\"_top\"><IMG"+
1103" BORDER=0 SRC=\"http://c3.thecounter.com/id=2593717"+r+"\"><\/A>")}
1104</script>
1104
1105<NOSCRIPT>
1106<a HREF="http://www.TheCounter.com"
1107TARGET="_top">
1108<dd><img SRC="http://c3.thecounter.com/id=2593717" ALT="TC" BORDER="0"></a> <img
1109  src="FrontPage:html_bitmap"> <img src="FrontPage:comment_bitmap"> </dd>
1110</div>
1111<!--2ab8b--><!--2ab8b--></body>
1112</html>

Line numbers count LF bytes from the start of the resource, as the search results do. Vendor segments are library code the classifier recognised; they are stored but not indexed. Bytes are shown as Latin1 characters, one per byte.