linear and quadratic simultaneous equations calculator
External Debt and Economic Growth Relationship Using the Simultaneous Equations doc
Ngày tải lên :
17/03/2014, 08:20
... debt stock and debt service.
External Debt and Economic Growth
-1-
Relationship Using the Simultaneous Equations
1.Introduction
The relationship between external debt, economic growth and capital ... the equations. The model includes five equations similar
to Metwally and Tamaschke (1994) with a few different equations and exogenous variables
in their equations. Their results show that there ... economic growth.
Levy and Chowdhury (1993) examined the direct, indirect and full effects of external
debt on GNP and vice versa, by utilising a system of simultaneous equations which show
the...
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SAP2000® Linear and Nonlinear Static and Dynamic Analysis and Design of Three-Dimensional Structures
Ngày tải lên :
06/09/2012, 15:56
... EFFORT AND EXPENSE HAVE GONE INTO THE
DEVELOPMENT AND DOCUMENTATION OF SAP2000. THE PROGRAM HAS
BEEN THOROUGHLY TESTED AND USED. IN USING THE PROGRAM,
HOWEVER, THE USER ACCEPTS AND UNDERSTANDS ...
spacing in the X, Y and Z direction. Set the number of grid spaces to
10 for the X direction, and to 1 for the Y and Z directions. Type 6 ft
into the X direction spacing edit box and press the Enter ...
Subdivide command to bring up the form in Figure 13. Select the
Auto Subdivide Frame option and check the at Intermediate Joints
and at Intersection with Other Frames check boxes, and click OK....
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Markov processes and the Kolmogorov equations
Ngày tải lên :
18/10/2013, 03:20
... calculus and KBE
Consider
dX t=aXt dt + X t dB t:
(5.1)
Let
hy
be a function, and define
v t; x= IE
t;x
hX T ;
CHAPTER 16. Markov processes and the Kolmogorov equations
187
and ... Let
a
be a constant and
=1
,so
dX t=adt+dB t:
If
t
0
;x
is given and we start with the initial condition
X t
0
=x;
177
CHAPTER 16. Markov processes and the Kolmogorov equations
185
We ... processes and the Kolmogorov
equations
16.1 Stochastic Differential Equations
Consider the stochastic differential equation:
dX t= at; X t dt + t; X t dB t:
(SDE)
Here
at; x
and
...
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Tài liệu EXACT SMALL SAMPLE THEORY IN THE SIMULTANEOUS EQUATIONS MODEL docx
Ngày tải lên :
25/01/2014, 07:20
... (1972) for LIML, and
by Anderson and Sawa (1973) for k-class estimators. Moreover, as demonstrated
by Richardson and Wu (1970) and by Anderson (1976) the exact p.d.f.s for ~SLS
and LIML directly ... (2, l} and {I, 1, l} are partitions of 3
and are conventionally written (21) and (13). The coefficients (a), and
(b),
in
(2.11) are multivariate hypergeometric coefficients defined by
and where ... selected from the extensive tabulations in Anderson
and Sawa (1977, 1979) which are recommended to the reader for careful study. My thanks to
Professors Anderson and Sawa for their permission to quote...
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Functional analysis sobolev spaces and partial differential equations
Ngày tải lên :
04/02/2014, 11:10
... questions, in both pure
and applied mathematics. They appear in linear and nonlinear PDEs that arise, for
example, in differential geometry, harmonic analysis, engineering, mechanics, and
physics. They ... function of K.
It is easyto see that if K = M is alinearsubspace then (I
M
)
= I
M
⊥
and (I
M
)
=
I
(M
⊥
)
⊥
. Assuming that M is a closed linear space and writing that (I
M
)
= I
M
,we
obtain ... of G. B. Folland [2], A. W. Knapp [1],
and H. L. Royden [1]). I conceived a program mixing elements from two distinct
“worlds”: functional analysis (FA) and partial differential equations (PDEs)....
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Tài liệu Báo cáo " Fully parallel methods for a class of linear partial differential-algebraic equations " pptx
Ngày tải lên :
13/02/2014, 03:20
... with a symmetric and positive define matrix D ∈ R
rìr
. Here I
r
and
O
nr
stand for the identity and zero matrices of appropriate dimensions respectively.
Proof. The symmetric and nonnegative ... and t ∈ (0, 1)
(29)
and a BVP for the elliptic equation
−(w
x
1
x
1
+ w
x
2
x
2
) = F
2
(x
1
, x
2
, t)
w(x, t) = 0 .
(30)
The PFS method and PSU method [4,3] are implemented in C and MPI and ... Albarreal, M.C. Calzada, J.L. Cruz, E. Fern
´
andez-Cara, M. Mari´n, Stability and Convergence of a Parallel
Fractional Step Method for the Solution of Linear Parabolic Problems, Applied Mathematics...
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Tài liệu Đề tài " Isomonodromy transformations of linear systems of difference equations" pptx
Ngày tải lên :
14/02/2014, 17:20
... left-hand side of (3.4), and hence, by Lemma 3.11, we can compute both
matrices on the right-hand side of (3.4), in particular, B
i
(1, ,1,
(j)
0 , 1, ,1).
1152 ALEXEI BORODIN
and the left and ... ±1
with all other κ’s and δ’s being zero; cf. [JM].
Assume κ
i
= −1 and κ
j
= 1. Denote by v and w the solutions of A(a
i
) v
= 0 and A
t
(a
j
) w = 0. Then R exists if and only if (v, w):=v
t
w ... 96–145.
[TW]
C. A. Tracy and H. Widom
, Fredholm determinants, differential equations and ma-
trix models, Comm. Math. Phys. 163 (1994), 33–72; hep-th/9306042.
[V]
A. Veselov
, Yang-Baxter maps and integrable...
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Tài liệu Boundary Value Problems, Sixth Edition: and Partial Differential Equations pptx
Ngày tải lên :
17/02/2014, 14:20
... Higher-Order Equations
Linear homogeneous equations of order higher than 2 — especially order 4 —
occur frequently in elasticity and fluid mechanics. A general, nth-order homo-
geneous linear equation ... conditions to supply two equations
that are to be satisfied by the two constants in the general solution. If the dif-
ferential equation is linear, these are two linear equations and can be easily
solved, ... kinds of linear,
homogeneous equations. Later, we will be using the same principle on partial
differential equations. To be able to satisfy an unrestricted initial condition, we
need two linearly...
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Doctor of Philosophy in Mathematics Linear and Non-linear Operators, and The Distribution of Zeros of Entire Functions
Ngày tải lên :
10/03/2014, 16:15
... and π
n
(Ω), n ∈ N.
Problem 97. Characterize all linear operators T : π(Ω) → π(Ω) ∪ {0}.
Problem 98. Characterize all linear operators T : π
n
(Ω) → π(Ω) ∪{0} for n ∈ N.
J. Borcea and P. Brăanden ... hyperbolicity.
Theorem 90 (J. Borcea and P. Brăanden [8]). A linear operator T : R[x] → R[x] preserves hyper-
bolicity if and only if either
(i) T has range of dimension at most two and is of the form T [f ... )Q, where α
and β are linear functionals on R[x], and P and Q are polynomials with only real interlacing
zeros, or
(ii) T [e
−xw
] =
∞
k=0
(−w)
n
T [x
n
]
n!
∈ A, or
41
for à 1, and n N. Specically,...
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Đề tài " Higher composition laws I: A new view on Gauss composition, and quadratic generalizations " docx
Ngày tải lên :
14/03/2014, 22:20
... α
j
det(β
,γ
m
)
for i, j ∈{1, 2} and k, , m, n ∈{1, 2, 3, 4}, and (i
,j
) and (i
,j
) are any
ordered pairs each equal to (i, j)or(j, i). This leads to 94 linear and quadratic
equations in the c
(i)
jk
’s, ... α
i
β
j
γ
k
(18)
for all 1 ≤ i, i
,j,j
,k,k
≤ 2. Expanding out these identities using (15), and
then equating all coefficients of 1 and τ, yield 18 (linear and quadratic) equa-
tions in the eight variables ... acts only by row and
column operations on M
1
and N
1
and hence does not change the value of
−Det(M
1
x − N
1
y). The remaining factor of SL
2
(Z) acts in the standard way
on Q
1
, and it is well-known...
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Entropy and partial differential equations evans l c
Ngày tải lên :
17/03/2014, 14:29
... relations
1. Fluids
2. Elastic materials
D. Workless dissipation
IV. Elliptic and parabolic equations
A. Entropy and elliptic equations
1. Definitions
2. Estimates for equilibrium entropy production
a. ... examples
1. Ideal gas
2. Van der Waals fluid
II. Entropy and irreversibility
A. A model material
1. Definitions
2. Energy and entropy
a. Working and heating
b. First Law, existence of E
c. Carnot cycles
d. ... lower
semicontinuous and proper. Furthermore the Legendre transform of L = H
∗
is H:
L = H
∗
,H= L
∗
.(2)
We say H and L are dual convex functions.
Now suppose for the moment that H is C
2
and is strictly...
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math. and phys. data - equations and rules of thumb - s. gibilisco
Ngày tải lên :
31/03/2014, 16:19
... Graphs, and Vectors 75
Figure 1.35 Semilog xy-plane with linear x axis and
logarithmic y axis.
Figure 1.36 Semilog xy-plane with logarithmic x axis
and linear y axis.
Algebra, Functions, Graphs, and ... the end points of vector a are (0,0) and (r
a
,
a
), and the end
points of vector b are (0,0) and (r
b
,
b
). Then a ϭ b if and only
if the following equations hold:
r ϭ r
ab
ϭ
ab
In ... two linear equations in two vari-
ables:
axϩ byϩ c ϭ 0
111
axϩ byϩ c ϭ 0
222
where a
1
, a
2
, b
1
, b
2
, c
1
, and c
2
are real-number constants, and
the variables are represented by x and...
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SAP2000® Linear and Nonlinear Static and Dynamic Analysis and Design of Three-Dimensional Structures GETTING STARTED doc
Ngày tải lên :
01/04/2014, 03:20
... Dimensions and tolerances – merge, selection, and snap
tolerances; font sizes; zoom increment; and others
Design codes and their parameters
Colors of objects and results for display and printing ... Design,
Display, and Output operations.
To select, enable the Select Mode using the Draw menu > Set Select
Mode command, or by choosing any command from the Select menu.
Draw Mode and Select ... coordinate systems, area springs and masses,
automated meshing parameters, and more
DISCLAIMER
CONSIDERABLE TIME, EFFORT AND EXPENSE HAVE GONE INTO THE
DEVELOPMENT AND DOCUMENTATION OF SAP2000....
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gerald beresford whitham linear and nonlinear waves pure and applied mathematics 1974
Ngày tải lên :
12/06/2014, 16:26
... at x
=
s(t) and that x
l
and x
2
are chosen so that x,
>x
2
. Suppose p and q and their first derivatives are continuous in x
x
>x
>s(t) and in s(t)>x> x
2
, and have finite ... by
nonlinear hyperbolic equations, and it has been used and refined in many
other fields.
In elasticity, the classical wave theory is also obtained after lineariza-
tion. Even with the linear ... explosions and the sonic booms of high speed aircraft. But
the whole intricate machinery of nonlinear hyperbolic equations had to be
developed for their prediction, and a full understanding required...
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![Báo cáo hóa học: " Comment on “on the stability of quadratic double centralizers and quadratic multipliers: a fixed point approach” [Bodaghi et al., j. inequal. appl. 2011, article id 957541 (2011)]" pot](https://media.store123doc.com/images/document/2014_06/20/medium_bto1403277608.jpg)