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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
Peter
Measurable Functions ... Lindstrom, Proposition 7.3.7 ... ...
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1
Views
4
Evgeny.Makarov
E
A
monotony of a function
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2
Views
238
Country Boy
C
mathmari
Weierstrass function
2
Replies
32
Views
565
mathmari
mathmari
evinda
Show existence of a,b
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11
Views
176
Klaas van Aarsen
Klaas van Aarsen
Peter
Open Sets in a Discrete Metric Space ... ...
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2
Views
126
Peter
Peter
Peter
Open Sets in R ... ... Willard, Example 2.7 (a) ... ...
Replies
3
Views
236
GJA
G
mathmari
Limits & properties
Replies
23
Views
1K
Klaas van Aarsen
Klaas van Aarsen
S
Need help
Replies
1
Views
434
Prove It
P
mathmari
[SOLVED] Show that the two functions are identical
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4
Views
367
mathmari
mathmari
A
Laplace Convolution
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1
Views
429
Prove It
P
S
hello i would like some help with laplace transforms.
Replies
2
Views
509
Prove It
P
D
need help with evaluating H(t-8t)2cosh(t-8)
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2
Views
416
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
840
Peter
Peter
Peter
Increasing Function and Discontinuities ... Browder, Proposition 3.14 ... ...
Replies
1
Views
753
Peter
Peter
Peter
Continuity of f^+ ... Browder Corollary 3.13
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4
Views
455
HallsofIvy
H
Peter
Relatively Open Sets ... Stoll, Theorem 3.1.16 (a) ...
Replies
6
Views
599
Peter
Peter
Peter
Composition of Two Continuous Functions ... Browder, Proposition 3.12 ... ...
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0
Views
308
Peter
Peter
Peter
Increasing Function on an Interval ... Browder, Proposition 3.7 ... ...
Replies
3
Views
347
GJA
G
Peter
Relatively Open Sets ... Another Queston Regarding Stoll, Theorem 3.1.16 (a) ...
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0
Views
125
Peter
Peter
Peter
Continuity of a Function ... Conway, Definition 1.7.1 ... ...
Replies
3
Views
342
Opalg
Opalg
Peter
Riemann Integration .. Existence Result ... Browder, Theorem 5.12 ...
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0
Views
168
Peter
Peter
Peter
Limits of Functions ...Conway, Proposition 2.1.2 ... ...
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0
Views
146
Peter
Peter
Peter
The Riemann and Darboux Integrals ... Browder, Theorem 5.10 ... ...
Replies
1
Views
218
Peter
Peter
Peter
The Riemann Integral ... Conway, Proposition 3.1.4 ...
Replies
2
Views
352
Peter
Peter
Peter
Differentials and Jacobians ... Remarks After Browder Prposition 8.21 ...
Replies
1
Views
334
Peter
Peter
Peter
An Example on Differentials ... Browder Proposition 8.12 ...
Replies
2
Views
426
Peter
Peter
Peter
Differentials/Total Derivatives in R^n ... Browder, Proposition 8.12 ...
Replies
2
Views
348
Peter
Peter
Peter
The Chain Rule in n Dimensions ... Browder Theorem 8.15 - Another Question ...
Replies
1
Views
361
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
354
Peter
Peter
Peter
Differentials in R^n ... Another Remark by Browder, Section 8.2 ... ...
Replies
2
Views
415
Peter
Peter
Peter
The Chain Rule in n Dimensions ... Browder Theorem 8.15
Replies
0
Views
283
Peter
Peter
Peter
Another Question ... Differentiabilty & Maxima ... Browder, Proposition 8.14 ... ...
Replies
0
Views
226
Peter
Peter
Peter
Differentiabilty and Continuity of Vector-Valued Functions ... Browder, Proposition 8.13 ... ...
Replies
2
Views
389
Peter
Peter
Peter
Differentiabilty & Maxima of Vector-Valued Functions ... Browder, Proposition 8.14 ... ...
Replies
2
Views
409
Peter
Peter
Peter
Differentials in R^n ... Remark by Brwder, Section 8.2 ... ...
Replies
7
Views
659
Peter
Peter
Peter
Operator Norm and Sequences ... Yet a Further Question ... Browder, Proposition 8.7 ...
Replies
4
Views
570
Peter
Peter
Peter
Operator Norm and Sequences ... Another Question ... Browder, Proposition 8.7 ...
Replies
4
Views
478
Peter
Peter
Peter
Operator Norm and Cauchy Sequence ... Browder, Proposition 8.7 ...
Replies
1
Views
292
Opalg
Opalg
Peter
Operator Norm and Distance Function ... Browder, Proposition 8.6 ...
Replies
2
Views
248
Peter
Peter
G
calculations with stepfunction(heaviside)
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1
Views
341
Klaas van Aarsen
Klaas van Aarsen
Peter
Operator norm ... Field, Theorem 9.2.9 ...
Replies
2
Views
271
Peter
Peter
Peter
Operator norm --- Remarks by Browder After Lemma 8.4 ...
Replies
2
Views
301
steep
S
Peter
The "Operator Norm" for Linear Transfomations ... Browder, page 179, Section 8.1, Ch. 8 ... ...
Replies
5
Views
804
Peter
Peter
Peter
Operator Norm ... differences between Browder and Field ...
Replies
2
Views
281
Peter
Peter
mathmari
The metrices are topologically but not strongly equivalent
Replies
10
Views
738
Klaas van Aarsen
Klaas van Aarsen
Peter
Could R^n be a field ...?
Replies
3
Views
356
Opalg
Opalg
mathmari
[SOLVED] Strong equivalence of metrices
Replies
4
Views
247
mathmari
mathmari
mathmari
Prove statements about metric
Replies
8
Views
618
mathmari
mathmari
Peter
Cauchy-Riemann Conditions for Differentiability ... Mathews & Howell, Theorem 3.4 ... ...
Replies
0
Views
152
Peter
Peter
Peter
Proof that Arcsin x is continuous ...
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3
Views
409
Peter
Peter
Peter
Differentiation of the Complex Square Root Function ... ... Palka, Example 1.5, Chapter III
Replies
2
Views
303
Peter
Peter
Peter
Yet Another Question on the Complex Square Root Function ... Palka, Example 1.5, Chapter III
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0
Views
249
Peter
Peter
Peter
Further Questions on Complex Square Root Function ... Palka, Example 1.5, Section 1.2, Chapter III
Replies
2
Views
176
Peter
Peter
Peter
Complex Derivatives ... Palka, Examples 1.1 and 1.2, Chapter III, Section 1.2 ...
Replies
2
Views
235
Peter
Peter
Peter
Diiferentiability of Functions of a Complex Variable ... Markushevich, Theorem 7.1 ... ...
Replies
4
Views
309
Peter
Peter
Peter
The Square and Square Root Functions of a Complex Variable ... Gamelin, Ch. 1, Section 4
Replies
3
Views
735
Opalg
Opalg
AutGuy98
Question for Intermediate Analysis (Please Help!)
Replies
1
Views
395
Evgeny.Makarov
E
mathmari
Show that there is no order relation on K
Replies
9
Views
647
Evgeny.Makarov
E
mathmari
Show that there exists a bijection
Replies
8
Views
626
Evgeny.Makarov
E
AutGuy98
Another Question, But This One is About Proving a Function is One-to-One (PLEASE HELP)
Replies
2
Views
469
HallsofIvy
H
Peter
Complex Derivative ... Remark in Apostol, Section 16.1 ... ...
Replies
2
Views
499
Peter
Peter
N
infinite dimentional subspace need not be closed
Replies
1
Views
373
topsquark
topsquark
AutGuy98
Proof of an Infimum Being Equal to the Negative Form of a Supremum (Please Help!)
Replies
2
Views
668
AutGuy98
AutGuy98
AutGuy98
Proof of the Equality of Supremums (Or Something Like That Anyway :) )
Replies
1
Views
324
castor28
castor28
AutGuy98
Infimum and Supremum of a Set (Need Help Finding Them!)
Replies
1
Views
298
Opalg
Opalg
Peter
Complex Variable ... Differentiability Implies Continuity ... Conway and Mathews and Howell ... ...
Replies
2
Views
550
Peter
Peter
Peter
Upper and Lower Linits (lim sup and lim inf) - Denlinger, Theorem2.9.6 (b) ...
Replies
4
Views
883
Peter
Peter
Peter
Another Question on Upper and Lower Limits ... Denlinger, Theorem 2.9.6 (a)
Replies
2
Views
372
Peter
Peter
Peter
Upper and Lower Linits (lim sup and lim inf) - Sohrab Proposition 2.2.39 (a) ...
Replies
6
Views
500
Peter
Peter
Peter
Upper and Lower Linits (lim sup and lim inf) - Sohrab Proposition 2.2.39 (b) ...
Replies
2
Views
318
Peter
Peter
Peter
Compact Metric Spaces and Inverse Functions ... Apostol, Example After Theorem 4.29 ...
Replies
2
Views
468
Peter
Peter
Peter
Functions Continuous on Comapct Sets ... Apostol, Theorem 4.25 ...
Replies
2
Views
425
Peter
Peter
Peter
Limits of Complex Functions ... Zill & Shanahan, Theorem 3.1.1/ A1
Replies
3
Views
579
Peter
Peter
Peter
The Metric Space R^n and Sequences ... Remark by Carothers, page 47 ...
Replies
6
Views
770
Peter
Peter
Peter
The Definition of a Neighborhood and the Definition of an Open Set ... Carothers, Chapters 3 & 4 ...
Replies
2
Views
540
Peter
Peter
Peter
The Discrete Topology and the Discrete Metric Space ... Stromberg, Example 3.10 (b) ...
Replies
2
Views
476
Peter
Peter
Peter
Open Balls in a Normed Vector Space ... Carothers, Exercise 32
Replies
4
Views
657
Peter
Peter
Peter
Neighbourhoods and Open Neighbourhoods ... Browder, Proposition 6.8 ... ...
Replies
3
Views
502
Peter
Peter
Peter
Baire Category Theorem ... Stromberg, Theorem 3.55 ... ...
Replies
7
Views
773
Peter
Peter
Peter
Boundary of a Set in a Topological Space ... Browder, Remarks Following Defn 6.10, pages 125-126 ...
Replies
2
Views
463
Peter
Peter
Peter
Connectedness and Intervals in R ... Another Question ... Stromberg, Theorem 3.47 ... ...
Replies
2
Views
448
Peter
Peter
Peter
Connectedness and Intervals in R ... Stromberg, Theorem 3.47 ... ...
Replies
1
Views
487
HallsofIvy
H
Peter
Equivalent Statements to Compactness ... Another Question ... Stromberg, Theorem 3.43 ... ...
Replies
1
Views
340
Opalg
Opalg
Peter
Equivalent Statements to COmpactness ... Stromberg, Theorem 3.43 ... ...
Replies
2
Views
451
Peter
Peter
S
Maximum likelihood estimation
Replies
5
Views
542
SheepLon
S
Peter
Countably Dense Subsets in a Metric Space ... Stromberg, Lemma 3.44 ... ...
Replies
2
Views
428
HallsofIvy
H
Peter
Heine-Borel Theorem in R^n ... Stromberg, Theorem 3.40 ... ...
Replies
2
Views
491
Peter
Peter
Peter
Compact Topological Spaces ... Stromberg, Theorem 3.36 ... ...
Replies
5
Views
834
Peter
Peter
B
TFAE proof involving limit and convergent sequence
Replies
1
Views
293
HallsofIvy
H
B
Proving a limit to infinity using epsilon-delta
Replies
3
Views
520
Evgeny.Makarov
E
Peter
Compact Topological Spaces ... Stromberg, Example 3.34 (c) ... ...
Replies
2
Views
417
Peter
Peter
V
Computing Kurdyka-Lojasiewicz (KL) exponent of sum of two KL functions.
Replies
0
Views
428
Vulture
V
Peter
Open Subsets in a Metric Space ... Stromberg, Theorem 3.6 .. ...
Replies
3
Views
889
Peter
Peter
Peter
Structure Theorem for the Open Subsets of R... Stromberg, Theorem 3.18 ... ...
Replies
0
Views
502
Peter
Peter
B
Finding Cluster Points/Accumulation Points
Replies
2
Views
488
Opalg
Opalg
Peter
The Class of All Square-Summable Real Sequences... l^2(N) ... Sohrab Example 2.3.52 ... ...
Replies
2
Views
525
Peter
Peter
V
What type of growth conditions can establish \$||f(x)||\geq K \text{dist}(x,\mathcal{X})\$?
Replies
0
Views
383
Vulture
V
Peter
Continuity and Open Sets ... Sohrab, Theorem 4.3.4 ... ...
Replies
0
Views
468
Peter
Peter
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