axioms and theorems of boolean algebra
Tài liệu PROBLEMS AND THEOREMS IN LINEAR ALGEBRA pdf
Ngày tải lên :
17/01/2014, 04:20
... matrix of order n − 1. Insert a column of zeros between
its (i − 1)st and ith columns and then insert a row of zeros between the (j − 1)st
and jth rows of the matrix obtained . The minor M
ji
of ... intersection points of the pairs of
straight lines AB and DE, BC and EF , CD and F A lie on one straight line. It is
not difficult to verify that the coordinates of the intersection point of AB and DE
are
(a ... Canonical forms of matrices and linear op-
erators
11. The trace and eigenvalues of an operator
The eigenvalues of an Hermitian operator and of a unitary operator. The
eigenvalues of a tridiagonal...
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- 2
Đề tài " Geometric Langlands duality and representations of algebraic groups over commutative rings " pptx
Ngày tải lên :
06/03/2014, 08:21
... roots and co-roots of G and G
der
on one hand
and those of
G
κ
and (
G
der
)
κ
on the other, coincide, we conclude that the root
datum of
G
κ
is dual to that of G.
13. Representations of reductive ... G
O
, and Gr. This action
and the action of G
O
on the affine Grassmannian extend to an action of the
semidirect product G
O
Aut(O )onGr. In the appendix 14 we also prove
LANGLANDS DUALITY AND ALGEBRAIC ... and Langlands duality, preprint
alg-geom/9511007, 1995.
[GNO]
P. Goddard, J. Nuyts, and D. Olive, Gauge Theories and Magnetic Change,
Nuclear Phys. B 125 (1977) 1–28.
LANGLANDS DUALITY AND ALGEBRAIC...
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Project Gutenberg’s Philosophy and Fun of Algebra, by Mary Everest Boole This eBook is for the use pdf
Ngày tải lên :
15/03/2014, 00:20
... people burn things
29
End of the Project Gutenberg EBook of Philosophy and Fun of Algebra
by Mary Everest Boole
*** END OF THIS PROJECT GUTENBERG EBOOK PHILOSOPHY AND FUN OF ALGEBRA ***
***** This ... means rhythm, I should have
been contradicted and laughed at and told that I had no proof of what I said
and was talking of what I knew nothing about; and whoever said so would
have been perfectly ... morally, after a short and brilliant career, you will
Project Gutenberg’s Philosophy and Fun of Algebra, by Mary Everest
Boole
This eBook is for the use of anyone anywhere at no cost and with
almost...
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- 0
Đề tài " Quiver varieties and tanalogs of q-characters of quantum affine algebras " pot
Ngày tải lên :
28/03/2014, 22:20
... proof is just a modification of that given in [34].
T -ANALOGS OF Q-CHARACTERS
1089
When ε is not a root of unity, there is an isomorphism between R
t
and
the dual of the Grothendieck group of ... ex-
istence of χ
ε,t
satisfying the axioms without using geometry or representation
theory of U
ε
(Lg).
Two of the axioms are most important. One is the characterization of the
image of χ
ε,t
. ... realization of Yangians and quantized affine algebras, Soviet
Math. Dokl. 32 (1988), 212–216.
[12]
E. Frenkel and E. Mukhin, Combinatorics of q-characters of finite-dimensional rep-
resentations of quantum...
- 42
- 242
- 0
logic and boolean algebra - kathleen and hilbert levitz
Ngày tải lên :
31/03/2014, 15:06
...
axioms
of Boolean
algebra, while in others they are called the
postulates
of Boolean
algebra.
Example
3.
Given:
a:
the family of all subsets of a given universe
U;
U:
the operation of ... physical handicaps
39
lived in substandard housing and had severe physical handicaps
12
were illiterate and lived in substandard housing
4
were illiterate, had severe physical handicaps, and ... what sense the algebra
of logic forms is a Boolean algebra. It is a very so-
phisticated example because the individual members
of this Boolean algebra are themselves
sets
of logic
forms....
- 141
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- 0
Báo cáo toán học: " Strong convergence theorems and rate of convergence of multi-step iterative methods for continuous mappings on an arbitrary interval" pptx
Ngày tải lên :
20/06/2014, 20:20
... rate of convergence of Picard and Mann iterations for
a class of Zamfirescu operators in arbitrary Banach spaces. Popescu [28] also used this
concept to compare the rate of convergence of Picard and ... con-
cept of K-mapping for finding a common fixed point of a finite family of nonexpansive
mappings and a solution of an equilibrium problem. Applications of K-mappings for
fixed point problems and equilibrium ... the rate of convergence of W
(T,N )
-iteration and K
(T,N )
-
iteration for continuous and nondecreasing mappings on an arbitrary interval in the
15
Table 2: Comparison of the rate of convergence...
- 33
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- 0
Báo cáo toán học: " Weak and strong convergence theorems of implicit iteration process on Banach spaces" pdf
Ngày tải lên :
20/06/2014, 21:20
... Banach space and let E* b e the dual space of E. For a
sequence {x
n
}ofE and a point x ẻ E, the weak convergence of {x
n
}tox and the strong
convergence of {x
n
}tox are denoted by x
n
x and x
n
đ ... =0
.Furthermore,sinceT
1
and T
2
are nonexpan-
sive mappings, we know that
¯
x
is also a fixed point of T
1
and T
2
. Therefore, the proof
is completed.
ThefollowingisaspecialcaseofTheorem5.1whenT
1
and T
2
are ... properties and applications. Theory and
Applications of Nonlinear Operators of Accretive and Monotone Type. pp. 15–50.Dekker, New York (1996)
15. Kamimura, S, Takahashi, W: Strong convergence of a...
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- 0
Báo cáo toán học: " Weak and strong convergence theorems of implicit iteration process on Banach spaces" doc
Ngày tải lên :
20/06/2014, 21:20
... article, let N and ℝ be the sets of all positive integers and real num-
bers, respectively. Let E be a Banach space and let E* b e the dual space of E. For a
sequence {x
n
}ofE and a point x ẻ ... properties and applications. Theory and
Applications of Nonlinear Operators of Accretive and Monotone Type. pp. 15–50.Dekker, New York (1996)
15. Kamimura, S, Takahashi, W: Strong convergence of a ... =0
.Furthermore,sinceT
1
and T
2
are nonexpan-
sive mappings, we know that
¯
x
is also a fixed point of T
1
and T
2
. Therefore, the proof
is completed.
ThefollowingisaspecialcaseofTheorem5.1whenT
1
and T
2
are...
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- 0
Báo cáo hóa học: "Research Article Composition Theorems of Stepanov Almost Periodic Functions and Stepanov-Like Pseudo-Almost Periodic Functions" potx
Ngày tải lên :
21/06/2014, 05:20
... of Chinese Ministry of
Education, the NSF of Jiangxi Province of China, the Youth Foundation of Jiangxi Provincial
Education Department GJJ09456, and the Youth Foundation of Jiangxi Normal University
2010-96.
References
1 ... pages
doi:10.1155/2011/654695
Research Article
Composition Theorems of Stepanov
Almost Periodic Functions and Stepanov-Like
Pseudo-Almost Periodic Functions
Wei Long and Hui-Sheng Ding
College of Mathematics and Information Science, ... where
1/r
1/r
1.
2.28
Proof. Let u v w ∈ PAPX, where v ∈ APX and w ∈ PAP
0
X. Then u ∈ PAPS
p
X
and K :
{vt : t ∈ R} is compact in X. By the proof of Theorem 2.4, there exists...
- 12
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- 0
Báo cáo hóa học: " Research Article Convergence Theorems Concerning Hybrid Methods for Strict Pseudocontractions and Systems of Equilibrium Problems" pot
Ngày tải lên :
21/06/2014, 07:20
... space H. We consider the problem of finding a common element of fixed point set
of these mappings and the solution set of a system of equilibrium problems by parallel and
cyclic algorithms. In this ... ∈
∩
N
i1
FS
i
.The Proof of ω ∈∩
M
k1
EPF
k
is similar to that of Theorem 3.1.
Step 6. The sequence x
n
converges strongly to q.
The strong convergence to q of {x
n
} is a consequence of Step 2,Step5, and ... “Construction of fixed points of nonlinear mappings in Hilbert
space,” Journal of Mathematical Analysis and Applications, vol. 20, pp. 197–228, 1967.
3 E. Blum and W. Oettli, “From optimization and variational...
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- 0
Báo cáo hóa học: " Research Article Remarks on Cone Metric Spaces and Fixed Point Theorems of Contractive Mappings" pptx
Ngày tải lên :
21/06/2014, 17:20
... example in 1.
References
1 L G. Huang and X. Zhang, “Cone metric spaces and fixed point theorems of contractive mappings,”
Journal of Mathematical Analysis and Applications, vol. 332, no. 2, pp. ... since X is complete. The remaining part of the proof follows the same as in the
previous theorem.
The connection between the above results and the main theorems of 1 are given in
the following corollary.
Corollary ... Khamsi
1, 2
1
Department of Mathematical Science, The University of Texas at El Paso, El Paso, TX 79968, USA
2
Department of Mathematics and Statistics, King Fahd University of Petroleum & Minerals,...
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- 0
báo cáo hóa học:" Strong convergence theorems and rate of convergence of multi-step iterative methods for continuous mappings on an arbitrary interval" pdf
Ngày tải lên :
21/06/2014, 17:20
... con-
cept of K-mapping for finding a common fixed point of a finite family of nonexpansive
mappings and a solution of an equilibrium problem. Applications of K-mappings for
fixed point problems and equilibrium ... convergence theorems and rate of
convergence of multi-step iterative methods for
continuous mappings on an arbitrary interval
Withun Phuengrattana
1,2
and Suthep Suantai
1,2,∗
1
Department of Mathematics, ... )
-iteration. Our results
extend and improve the corresponding results of Rhoades [5], Borwein and Borwein [6],
Qing and Qihou [7], Phuengrattana and Suantai [4], and many others.
8
b = lim sup
n→∞
x
n
≤...
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Báo cáo hóa học: " Research Article Several Existence Theorems of Multiple Positive Solutions of Nonlinear m-Point BVP for an Increasing Homeomorphism and Homomorphism on Time Scales" pot
Ngày tải lên :
21/06/2014, 20:20
... Science Foundation of Shanxi Province
2008011002-1 and Shanxi Datong Universityand by Development Foundation of Higher
Education Department of Shanxi Province.
References
1 D. R. Anderson, “Solutions ... and N. Castaneda, “Existence of solutions of nonlinear m-point boundary-value problems,”
Journal of Mathematical Analysis and Applications, vol. 256, no. 2, pp. 556–567, 2001.
16 S. Liang and ... Existence Theorems of
Multiple Positive Solutions of Nonlinear
m-Point BVP for an Increasing Homeomorphism
and Homomorphism on Time Scales
Wei Han
1
and Shugui Kang
2
1
Department of Mathematics,...
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