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Analysis

Real, Complex, and Functional Analysis
ZaidAlyafey
  • Sticky
Discussions on the convergence of integrals and series
Replies
23
Views
26K
DreamWeaver
DreamWeaver
mathmari
Check convergence of integrals
Replies
18
Views
239
Klaas van Aarsen
Klaas van Aarsen
V
A function given by a logical expression write in the truth table.
Replies
0
Views
263
vokan12
V
K
Determine the area, calculate the basis vectors and determine the inner product
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1
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3K
Alan
A
C
Solving a complex value equation
Replies
4
Views
249
Klaas van Aarsen
Klaas van Aarsen
A
what % is 60M of 6 Billion
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1
Views
167
skeeter
skeeter
mathmari
Sequence of functions : pointwise & uniform convergence
Replies
11
Views
240
Klaas van Aarsen
Klaas van Aarsen
mathmari
Convergence of series
Replies
8
Views
203
mathmari
mathmari
C
Using Cauchy Integral Formula for Laurent Series Coefficients
Replies
2
Views
185
Cbarker1
C
Peter
The Set of Borel Sets ... Axler Pages 28-29 ... ...
Replies
2
Views
178
Peter
Peter
Peter
Smallest Sigma Algebra ... Axler, Example 2.28 ...
Replies
5
Views
193
Peter
Peter
Peter
Sigma Algebras ... Axler Page 26 ...
Replies
2
Views
118
Peter
Peter
Peter
Translation Invariance of Outer Measure ... Axler, Result 2.7 ...
Replies
2
Views
133
Peter
Peter
Peter
Outer measure of an open interval ...
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7
Views
257
Peter
Peter
Peter
Lebesgue Outer Measure ... Carothers, Proposition 16.2 (i) ...
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0
Views
122
Peter
Peter
Peter
Lebesgue Outer Measure ... Carothers, Proposition 16.1 ...
Replies
2
Views
124
Peter
Peter
Peter
Outer measure of a closed interval ... Axler, Result 2.14 ...
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2
Views
128
Peter
Peter
Peter
Outer measure ... Axler, Result 2.14 ... Another Question ...
Replies
3
Views
143
GJA
G
Peter
Lebesgue Outer Measure ... Carothers, Proposition 16.1 ...
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0
Views
109
Peter
Peter
Peter
Outer Measure ... Axler, Result 2.5 ...
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4
Views
275
Peter
Peter
J
Finding the Unique Solution of a Polar System with Variable Radius?
Replies
0
Views
169
Jiggerjaw
J
mathmari
Weierstrass function
2
Replies
38
Views
1K
Klaas van Aarsen
Klaas van Aarsen
Peter
Lebesgue Integration of Simple Functions ... Lindstrom, Lemma 7.4.6 ... ...
Replies
4
Views
597
Peter
Peter
Peter
Measurable Functions ... Lindstrom, Proposition 7.3.7 ... ...
Replies
8
Views
330
Opalg
Opalg
A
monotony of a function
Replies
2
Views
409
Country Boy
C
evinda
Show existence of a,b
Replies
11
Views
353
Klaas van Aarsen
Klaas van Aarsen
Peter
Open Sets in a Discrete Metric Space ... ...
Replies
2
Views
287
Peter
Peter
Peter
Open Sets in R ... ... Willard, Example 2.7 (a) ... ...
Replies
3
Views
385
GJA
G
mathmari
Limits & properties
Replies
23
Views
1K
Klaas van Aarsen
Klaas van Aarsen
S
Need help
Replies
1
Views
574
Prove It
P
mathmari
[SOLVED] Show that the two functions are identical
Replies
4
Views
551
mathmari
mathmari
A
Laplace Convolution
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1
Views
584
Prove It
P
S
hello i would like some help with laplace transforms.
Replies
2
Views
679
Prove It
P
D
need help with evaluating H(t-8t)2cosh(t-8)
Replies
2
Views
598
Prove It
P
Peter
Intermediate Value Theorem ...Silva, Theorem 4.2.1 ... ...
Replies
3
Views
1K
GJA
G
Peter
Intermediate Value Theorem ... Browder, Theorem 3.16 ... ...
Replies
2
Views
1K
Peter
Peter
Peter
Increasing Function and Discontinuities ... Browder, Proposition 3.14 ... ...
Replies
1
Views
947
Peter
Peter
Peter
Continuity of f^+ ... Browder Corollary 3.13
Replies
4
Views
639
HallsofIvy
H
Peter
Relatively Open Sets ... Stoll, Theorem 3.1.16 (a) ...
Replies
6
Views
809
Peter
Peter
Peter
Composition of Two Continuous Functions ... Browder, Proposition 3.12 ... ...
Replies
0
Views
490
Peter
Peter
Peter
Increasing Function on an Interval ... Browder, Proposition 3.7 ... ...
Replies
3
Views
509
GJA
G
Peter
Relatively Open Sets ... Another Queston Regarding Stoll, Theorem 3.1.16 (a) ...
Replies
0
Views
264
Peter
Peter
Peter
Continuity of a Function ... Conway, Definition 1.7.1 ... ...
Replies
3
Views
570
Opalg
Opalg
Peter
Riemann Integration .. Existence Result ... Browder, Theorem 5.12 ...
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0
Views
310
Peter
Peter
Peter
Limits of Functions ...Conway, Proposition 2.1.2 ... ...
Replies
0
Views
296
Peter
Peter
Peter
The Riemann and Darboux Integrals ... Browder, Theorem 5.10 ... ...
Replies
1
Views
387
Peter
Peter
Peter
The Riemann Integral ... Conway, Proposition 3.1.4 ...
Replies
2
Views
523
Peter
Peter
Peter
Differentials and Jacobians ... Remarks After Browder Prposition 8.21 ...
Replies
1
Views
509
Peter
Peter
Peter
An Example on Differentials ... Browder Proposition 8.12 ...
Replies
2
Views
622
Peter
Peter
Peter
Differentials/Total Derivatives in R^n ... Browder, Proposition 8.12 ...
Replies
2
Views
543
Peter
Peter
Peter
The Chain Rule in n Dimensions ... Browder Theorem 8.15 - Another Question ...
Replies
1
Views
498
Peter
Peter
L
Partial fraction decomposition
Replies
2
Views
1K
BestMethod
B
Peter
Yet Further Help ... Differentiabilty & Maxima ... Browder, Proposition 8.14 ... ...
Replies
2
Views
529
Peter
Peter
Peter
Differentials in R^n ... Another Remark by Browder, Section 8.2 ... ...
Replies
2
Views
612
Peter
Peter
Peter
The Chain Rule in n Dimensions ... Browder Theorem 8.15
Replies
0
Views
422
Peter
Peter
Peter
Another Question ... Differentiabilty & Maxima ... Browder, Proposition 8.14 ... ...
Replies
0
Views
398
Peter
Peter
Peter
Differentiabilty and Continuity of Vector-Valued Functions ... Browder, Proposition 8.13 ... ...
Replies
2
Views
552
Peter
Peter
Peter
Differentiabilty & Maxima of Vector-Valued Functions ... Browder, Proposition 8.14 ... ...
Replies
2
Views
601
Peter
Peter
Peter
Differentials in R^n ... Remark by Brwder, Section 8.2 ... ...
Replies
7
Views
849
Peter
Peter
Peter
Operator Norm and Sequences ... Yet a Further Question ... Browder, Proposition 8.7 ...
Replies
4
Views
753
Peter
Peter
Peter
Operator Norm and Sequences ... Another Question ... Browder, Proposition 8.7 ...
Replies
4
Views
623
Peter
Peter
Peter
Operator Norm and Cauchy Sequence ... Browder, Proposition 8.7 ...
Replies
1
Views
448
Opalg
Opalg
Peter
Operator Norm and Distance Function ... Browder, Proposition 8.6 ...
Replies
2
Views
406
Peter
Peter
G
calculations with stepfunction(heaviside)
Replies
1
Views
538
Klaas van Aarsen
Klaas van Aarsen
Peter
Operator norm ... Field, Theorem 9.2.9 ...
Replies
2
Views
406
Peter
Peter
Peter
Operator norm --- Remarks by Browder After Lemma 8.4 ...
Replies
2
Views
446
steep
S
Peter
The "Operator Norm" for Linear Transfomations ... Browder, page 179, Section 8.1, Ch. 8 ... ...
Replies
5
Views
991
Peter
Peter
Peter
Operator Norm ... differences between Browder and Field ...
Replies
2
Views
435
Peter
Peter
mathmari
The metrices are topologically but not strongly equivalent
Replies
10
Views
974
Klaas van Aarsen
Klaas van Aarsen
Peter
Could R^n be a field ...?
Replies
3
Views
577
Opalg
Opalg
mathmari
[SOLVED] Strong equivalence of metrices
Replies
4
Views
438
mathmari
mathmari
mathmari
Prove statements about metric
Replies
8
Views
808
mathmari
mathmari
Peter
Cauchy-Riemann Conditions for Differentiability ... Mathews & Howell, Theorem 3.4 ... ...
Replies
0
Views
319
Peter
Peter
Peter
Proof that Arcsin x is continuous ...
Replies
3
Views
591
Peter
Peter
Peter
Differentiation of the Complex Square Root Function ... ... Palka, Example 1.5, Chapter III
Replies
2
Views
487
Peter
Peter
Peter
Yet Another Question on the Complex Square Root Function ... Palka, Example 1.5, Chapter III
Replies
0
Views
384
Peter
Peter
Peter
Further Questions on Complex Square Root Function ... Palka, Example 1.5, Section 1.2, Chapter III
Replies
2
Views
317
Peter
Peter
Peter
Complex Derivatives ... Palka, Examples 1.1 and 1.2, Chapter III, Section 1.2 ...
Replies
2
Views
409
Peter
Peter
Peter
Diiferentiability of Functions of a Complex Variable ... Markushevich, Theorem 7.1 ... ...
Replies
4
Views
497
Peter
Peter
Peter
The Square and Square Root Functions of a Complex Variable ... Gamelin, Ch. 1, Section 4
Replies
3
Views
887
Opalg
Opalg
AutGuy98
Question for Intermediate Analysis (Please Help!)
Replies
1
Views
534
Evgeny.Makarov
E
mathmari
Show that there is no order relation on K
Replies
9
Views
874
Evgeny.Makarov
E
mathmari
Show that there exists a bijection
Replies
8
Views
789
Evgeny.Makarov
E
AutGuy98
Another Question, But This One is About Proving a Function is One-to-One (PLEASE HELP)
Replies
2
Views
674
HallsofIvy
H
Peter
Complex Derivative ... Remark in Apostol, Section 16.1 ... ...
Replies
2
Views
662
Peter
Peter
N
infinite dimentional subspace need not be closed
Replies
1
Views
506
topsquark
topsquark
AutGuy98
Proof of an Infimum Being Equal to the Negative Form of a Supremum (Please Help!)
Replies
2
Views
1K
AutGuy98
AutGuy98
AutGuy98
Proof of the Equality of Supremums (Or Something Like That Anyway :) )
Replies
1
Views
474
castor28
castor28
AutGuy98
Infimum and Supremum of a Set (Need Help Finding Them!)
Replies
1
Views
447
Opalg
Opalg
Peter
Complex Variable ... Differentiability Implies Continuity ... Conway and Mathews and Howell ... ...
Replies
2
Views
713
Peter
Peter
Peter
Upper and Lower Linits (lim sup and lim inf) - Denlinger, Theorem2.9.6 (b) ...
Replies
4
Views
1K
Peter
Peter
Peter
Another Question on Upper and Lower Limits ... Denlinger, Theorem 2.9.6 (a)
Replies
2
Views
546
Peter
Peter
Peter
Upper and Lower Linits (lim sup and lim inf) - Sohrab Proposition 2.2.39 (a) ...
Replies
6
Views
655
Peter
Peter
Peter
Upper and Lower Linits (lim sup and lim inf) - Sohrab Proposition 2.2.39 (b) ...
Replies
2
Views
459
Peter
Peter
Peter
Compact Metric Spaces and Inverse Functions ... Apostol, Example After Theorem 4.29 ...
Replies
2
Views
655
Peter
Peter
Peter
Functions Continuous on Comapct Sets ... Apostol, Theorem 4.25 ...
Replies
2
Views
603
Peter
Peter
Peter
Limits of Complex Functions ... Zill & Shanahan, Theorem 3.1.1/ A1
Replies
3
Views
729
Peter
Peter
Peter
The Metric Space R^n and Sequences ... Remark by Carothers, page 47 ...
Replies
6
Views
934
Peter
Peter
Peter
The Definition of a Neighborhood and the Definition of an Open Set ... Carothers, Chapters 3 & 4 ...
Replies
2
Views
693
Peter
Peter
Peter
The Discrete Topology and the Discrete Metric Space ... Stromberg, Example 3.10 (b) ...
Replies
2
Views
634
Peter
Peter
Peter
Open Balls in a Normed Vector Space ... Carothers, Exercise 32
Replies
4
Views
808
Peter
Peter
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