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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
A
monotony of a function
Replies
1
Views
192
Joppy
J
mathmari
Weierstrass function
2
Replies
32
Views
551
mathmari
mathmari
evinda
Show existence of a,b
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11
Views
169
Klaas van Aarsen
Klaas van Aarsen
Peter
Open Sets in a Discrete Metric Space ... ...
Replies
2
Views
119
Peter
Peter
Peter
Open Sets in R ... ... Willard, Example 2.7 (a) ... ...
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3
Views
230
GJA
G
mathmari
Limits & properties
Replies
23
Views
1K
Klaas van Aarsen
Klaas van Aarsen
S
Need help
Replies
1
Views
430
Prove It
P
mathmari
[SOLVED] Show that the two functions are identical
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4
Views
361
mathmari
mathmari
A
Laplace Convolution
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1
Views
423
Prove It
P
S
hello i would like some help with laplace transforms.
Replies
2
Views
501
Prove It
P
D
need help with evaluating H(t-8t)2cosh(t-8)
Replies
2
Views
410
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
833
Peter
Peter
Peter
Increasing Function and Discontinuities ... Browder, Proposition 3.14 ... ...
Replies
1
Views
748
Peter
Peter
Peter
Continuity of f^+ ... Browder Corollary 3.13
Replies
4
Views
448
HallsofIvy
H
Peter
Relatively Open Sets ... Stoll, Theorem 3.1.16 (a) ...
Replies
6
Views
593
Peter
Peter
Peter
Composition of Two Continuous Functions ... Browder, Proposition 3.12 ... ...
Replies
0
Views
301
Peter
Peter
Peter
Increasing Function on an Interval ... Browder, Proposition 3.7 ... ...
Replies
3
Views
342
GJA
G
Peter
Relatively Open Sets ... Another Queston Regarding Stoll, Theorem 3.1.16 (a) ...
Replies
0
Views
121
Peter
Peter
Peter
Continuity of a Function ... Conway, Definition 1.7.1 ... ...
Replies
3
Views
334
Opalg
Opalg
Peter
Riemann Integration .. Existence Result ... Browder, Theorem 5.12 ...
Replies
0
Views
162
Peter
Peter
Peter
Limits of Functions ...Conway, Proposition 2.1.2 ... ...
Replies
0
Views
140
Peter
Peter
Peter
The Riemann and Darboux Integrals ... Browder, Theorem 5.10 ... ...
Replies
1
Views
212
Peter
Peter
Peter
The Riemann Integral ... Conway, Proposition 3.1.4 ...
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2
Views
347
Peter
Peter
Peter
Differentials and Jacobians ... Remarks After Browder Prposition 8.21 ...
Replies
1
Views
327
Peter
Peter
Peter
An Example on Differentials ... Browder Proposition 8.12 ...
Replies
2
Views
420
Peter
Peter
Peter
Differentials/Total Derivatives in R^n ... Browder, Proposition 8.12 ...
Replies
2
Views
339
Peter
Peter
Peter
The Chain Rule in n Dimensions ... Browder Theorem 8.15 - Another Question ...
Replies
1
Views
357
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
349
Peter
Peter
Peter
Differentials in R^n ... Another Remark by Browder, Section 8.2 ... ...
Replies
2
Views
408
Peter
Peter
Peter
The Chain Rule in n Dimensions ... Browder Theorem 8.15
Replies
0
Views
277
Peter
Peter
Peter
Another Question ... Differentiabilty & Maxima ... Browder, Proposition 8.14 ... ...
Replies
0
Views
219
Peter
Peter
Peter
Differentiabilty and Continuity of Vector-Valued Functions ... Browder, Proposition 8.13 ... ...
Replies
2
Views
382
Peter
Peter
Peter
Differentiabilty & Maxima of Vector-Valued Functions ... Browder, Proposition 8.14 ... ...
Replies
2
Views
403
Peter
Peter
Peter
Differentials in R^n ... Remark by Brwder, Section 8.2 ... ...
Replies
7
Views
653
Peter
Peter
Peter
Operator Norm and Sequences ... Yet a Further Question ... Browder, Proposition 8.7 ...
Replies
4
Views
564
Peter
Peter
Peter
Operator Norm and Sequences ... Another Question ... Browder, Proposition 8.7 ...
Replies
4
Views
472
Peter
Peter
Peter
Operator Norm and Cauchy Sequence ... Browder, Proposition 8.7 ...
Replies
1
Views
286
Opalg
Opalg
Peter
Operator Norm and Distance Function ... Browder, Proposition 8.6 ...
Replies
2
Views
242
Peter
Peter
G
calculations with stepfunction(heaviside)
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1
Views
334
Klaas van Aarsen
Klaas van Aarsen
Peter
Operator norm ... Field, Theorem 9.2.9 ...
Replies
2
Views
267
Peter
Peter
Peter
Operator norm --- Remarks by Browder After Lemma 8.4 ...
Replies
2
Views
296
steep
S
Peter
The "Operator Norm" for Linear Transfomations ... Browder, page 179, Section 8.1, Ch. 8 ... ...
Replies
5
Views
798
Peter
Peter
Peter
Operator Norm ... differences between Browder and Field ...
Replies
2
Views
276
Peter
Peter
mathmari
The metrices are topologically but not strongly equivalent
Replies
10
Views
732
Klaas van Aarsen
Klaas van Aarsen
Peter
Could R^n be a field ...?
Replies
3
Views
351
Opalg
Opalg
mathmari
[SOLVED] Strong equivalence of metrices
Replies
4
Views
242
mathmari
mathmari
mathmari
Prove statements about metric
Replies
8
Views
612
mathmari
mathmari
Peter
Cauchy-Riemann Conditions for Differentiability ... Mathews & Howell, Theorem 3.4 ... ...
Replies
0
Views
145
Peter
Peter
Peter
Proof that Arcsin x is continuous ...
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3
Views
403
Peter
Peter
Peter
Differentiation of the Complex Square Root Function ... ... Palka, Example 1.5, Chapter III
Replies
2
Views
296
Peter
Peter
Peter
Yet Another Question on the Complex Square Root Function ... Palka, Example 1.5, Chapter III
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0
Views
244
Peter
Peter
Peter
Further Questions on Complex Square Root Function ... Palka, Example 1.5, Section 1.2, Chapter III
Replies
2
Views
171
Peter
Peter
Peter
Complex Derivatives ... Palka, Examples 1.1 and 1.2, Chapter III, Section 1.2 ...
Replies
2
Views
228
Peter
Peter
Peter
Diiferentiability of Functions of a Complex Variable ... Markushevich, Theorem 7.1 ... ...
Replies
4
Views
303
Peter
Peter
Peter
The Square and Square Root Functions of a Complex Variable ... Gamelin, Ch. 1, Section 4
Replies
3
Views
730
Opalg
Opalg
AutGuy98
Question for Intermediate Analysis (Please Help!)
Replies
1
Views
388
Evgeny.Makarov
E
mathmari
Show that there is no order relation on K
Replies
9
Views
641
Evgeny.Makarov
E
mathmari
Show that there exists a bijection
Replies
8
Views
621
Evgeny.Makarov
E
AutGuy98
Another Question, But This One is About Proving a Function is One-to-One (PLEASE HELP)
Replies
2
Views
461
HallsofIvy
H
Peter
Complex Derivative ... Remark in Apostol, Section 16.1 ... ...
Replies
2
Views
492
Peter
Peter
N
infinite dimentional subspace need not be closed
Replies
1
Views
369
topsquark
topsquark
AutGuy98
Proof of an Infimum Being Equal to the Negative Form of a Supremum (Please Help!)
Replies
2
Views
662
AutGuy98
AutGuy98
AutGuy98
Proof of the Equality of Supremums (Or Something Like That Anyway :) )
Replies
1
Views
318
castor28
castor28
AutGuy98
Infimum and Supremum of a Set (Need Help Finding Them!)
Replies
1
Views
294
Opalg
Opalg
Peter
Complex Variable ... Differentiability Implies Continuity ... Conway and Mathews and Howell ... ...
Replies
2
Views
541
Peter
Peter
Peter
Upper and Lower Linits (lim sup and lim inf) - Denlinger, Theorem2.9.6 (b) ...
Replies
4
Views
877
Peter
Peter
Peter
Another Question on Upper and Lower Limits ... Denlinger, Theorem 2.9.6 (a)
Replies
2
Views
365
Peter
Peter
Peter
Upper and Lower Linits (lim sup and lim inf) - Sohrab Proposition 2.2.39 (a) ...
Replies
6
Views
494
Peter
Peter
Peter
Upper and Lower Linits (lim sup and lim inf) - Sohrab Proposition 2.2.39 (b) ...
Replies
2
Views
313
Peter
Peter
Peter
Compact Metric Spaces and Inverse Functions ... Apostol, Example After Theorem 4.29 ...
Replies
2
Views
462
Peter
Peter
Peter
Functions Continuous on Comapct Sets ... Apostol, Theorem 4.25 ...
Replies
2
Views
418
Peter
Peter
Peter
Limits of Complex Functions ... Zill & Shanahan, Theorem 3.1.1/ A1
Replies
3
Views
573
Peter
Peter
Peter
The Metric Space R^n and Sequences ... Remark by Carothers, page 47 ...
Replies
6
Views
765
Peter
Peter
Peter
The Definition of a Neighborhood and the Definition of an Open Set ... Carothers, Chapters 3 & 4 ...
Replies
2
Views
533
Peter
Peter
Peter
The Discrete Topology and the Discrete Metric Space ... Stromberg, Example 3.10 (b) ...
Replies
2
Views
468
Peter
Peter
Peter
Open Balls in a Normed Vector Space ... Carothers, Exercise 32
Replies
4
Views
650
Peter
Peter
Peter
Neighbourhoods and Open Neighbourhoods ... Browder, Proposition 6.8 ... ...
Replies
3
Views
495
Peter
Peter
Peter
Baire Category Theorem ... Stromberg, Theorem 3.55 ... ...
Replies
7
Views
765
Peter
Peter
Peter
Boundary of a Set in a Topological Space ... Browder, Remarks Following Defn 6.10, pages 125-126 ...
Replies
2
Views
456
Peter
Peter
Peter
Connectedness and Intervals in R ... Another Question ... Stromberg, Theorem 3.47 ... ...
Replies
2
Views
441
Peter
Peter
Peter
Connectedness and Intervals in R ... Stromberg, Theorem 3.47 ... ...
Replies
1
Views
480
HallsofIvy
H
Peter
Equivalent Statements to Compactness ... Another Question ... Stromberg, Theorem 3.43 ... ...
Replies
1
Views
333
Opalg
Opalg
Peter
Equivalent Statements to COmpactness ... Stromberg, Theorem 3.43 ... ...
Replies
2
Views
443
Peter
Peter
S
Maximum likelihood estimation
Replies
5
Views
535
SheepLon
S
Peter
Countably Dense Subsets in a Metric Space ... Stromberg, Lemma 3.44 ... ...
Replies
2
Views
420
HallsofIvy
H
Peter
Heine-Borel Theorem in R^n ... Stromberg, Theorem 3.40 ... ...
Replies
2
Views
486
Peter
Peter
Peter
Compact Topological Spaces ... Stromberg, Theorem 3.36 ... ...
Replies
5
Views
826
Peter
Peter
B
TFAE proof involving limit and convergent sequence
Replies
1
Views
284
HallsofIvy
H
B
Proving a limit to infinity using epsilon-delta
Replies
3
Views
514
Evgeny.Makarov
E
Peter
Compact Topological Spaces ... Stromberg, Example 3.34 (c) ... ...
Replies
2
Views
409
Peter
Peter
V
Computing Kurdyka-Lojasiewicz (KL) exponent of sum of two KL functions.
Replies
0
Views
419
Vulture
V
Peter
Open Subsets in a Metric Space ... Stromberg, Theorem 3.6 .. ...
Replies
3
Views
883
Peter
Peter
Peter
Structure Theorem for the Open Subsets of R... Stromberg, Theorem 3.18 ... ...
Replies
0
Views
496
Peter
Peter
B
Finding Cluster Points/Accumulation Points
Replies
2
Views
479
Opalg
Opalg
Peter
The Class of All Square-Summable Real Sequences... l^2(N) ... Sohrab Example 2.3.52 ... ...
Replies
2
Views
518
Peter
Peter
V
What type of growth conditions can establish \$||f(x)||\geq K \text{dist}(x,\mathcal{X})\$?
Replies
0
Views
376
Vulture
V
Peter
Continuity and Open Sets ... Sohrab, Theorem 4.3.4 ... ...
Replies
0
Views
460
Peter
Peter
Peter
Heine-Borel Theorem ... Sohrab, Theorem 4.1.10 ... ...
Replies
2
Views
734
Peter
Peter
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