By Melanie Hoppe
Basierend auf einer Gegenüberstellung bisheriger model Community-Studien untersucht Melanie Hoppe sowohl den Einfluss von Motiven für die Partizipation auf die informelle Mitgliedschaft in model groups als auch deren Auswirkungen auf Verhaltensintentionen der Markenfans. Die Autorin zeigt, ob model Community-Mitglieder nach ihrer Persönlichkeitsstruktur und soziodemographischen Determinanten unterschieden werden können und ob auf foundation dieser potenziellen Differenzierungsmerkmale Gruppenunterschiede in den zuvor erläuterten Effekten der Antezedenten und Konsequenzen der Mitgliedschaft in model groups bestehen.
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The booklet provides a close and rigorous remedy of the idea of optimization (unconstrained optimization, nonlinear programming, semi-infinite programming, and so on. ) in finite-dimensional areas. the basic result of convexity thought and the idea of duality in nonlinear programming and the theories of linear inequalities, convex polyhedra, and linear programming are lined intimately.
Este libro provee una base sólida para l. a. teoría de curvas de Bézier y B-spline, revelando su elegante estructura matemática. En el texto se hace énfasis en las nociones centrales del Diseño Geométrico Asistido por Computadora con l. a. intención de dar un tratamiento analíticamente claro y geométricamente intuitivo de los principios básicos del área.
The aim of the current version is to acquaint the reader with
new effects bought within the concept of balance of movement, and also
to summarize convinced researches by way of the writer during this box of
mathematics. it truly is identified that the matter of balance reduces not
only to an research of structures of standard differential equations
but additionally to an research of platforms of partial differential
equations. the speculation is hence built during this ebook in such
a demeanour as to make it appropriate to the answer of balance problems
in the case of platforms of normal differential equations as
well as relating to platforms of partial differential equations.
For the reader's gain, we will now checklist in brief the contents of
the current monograph.
This e-book comprises 5 chapters.
In Sections 1-5 of bankruptcy I we provide the imperative information
connected with the concept that of metric house, and likewise clarify the
meaning of the phrases with a purpose to be used less than. Sections 6 and seven are
preparatory and comprise examples of dynamical platforms in various
spaces. In part eight we outline the idea that of dynamical systems
in metric area, and in addition supply the vital theorems from the
book  of Nemytsky and Stepanov. In Sections 9-10 we give
the important definitions, hooked up with the idea that of stability
in the feel of Lyapunov of invariant units of a dynamical system,
and additionally examine the homes of convinced solid invariant sets.
In part eleven we resolve the matter of a qualitative construction
of a local of a solid (asymptotically strong) invariant set. In
particular, it's confirmed that for balance within the experience of Lyapunov
of an invariant set M of a dynamical method f(p, t) it really is necessary,
and with regards to the presence of a small enough compact local of the set M it's also adequate, that there exist no
motions· f(p, t), P eM, having ex-limit issues in M. The results
obtained listed here are new even to the speculation of standard differential
equations. In Sections 12-13 we supply standards for balance and
instability of invariant units because of sure functionals.
These functionals are the analogue of the Lyapunov functionality and
therefore the tactic constructed right here should be regarded as a certain
extension of Lyapunov's moment technique. all of the result of these
sections are neighborhood in personality. We cite, for instance, considered one of these.
In order for an invariant set M to be uniformly asymptotically
stable, it will be significant and enough that during a definite neighborhood
S(M, r) of M there exists a sensible V having the following
1. Given a host c1 > zero, it's attainable to discover c2 > zero such
that V(P) > c2 for p(p, M) > c1.
2. V(p) ~ zero as p(p, M) ~ 0.
3. The functionality V(f(p, t)) doesn't raise for f(p, t) e S(M, r)
and V(f(p, t)) ~ zero as t ~ + oo uniformly relative to p e S(M,
2. For /'2 > zero it's attainable to discover /'1 and cx1 such that
V(p) cx1 for p(p, M) > /'2·
3. V and (/) ~ zero as p(p, M) ~ 0.
4. dVfdt = fP(1 + V).
5. V(p) ~ -1 as p(p, q) ~ zero, peA, q E A"-. A, and q eM.
Here, as above, p and q are parts of tl;te area R, and p(p, M)
is the metric distance from the purpose p to the set M. part 15 encompasses a procedure that makes it attainable to estimate the distance
from the movement to the investigated invariant set. The theorems
obtained during this part will be regarded as supplementations to
Sections 12-14. Sections 1-15 conceal the contents of the 1st chapter,
devoted to an research of invariant units of dynamical systems.
In the second one bankruptcy we supply a built software of the
ideas and techniques of the 1st bankruptcy to the idea of ordinary
differential equations. In part 1 of bankruptcy 2 we boost the
theorem of part 14 for desk bound platforms of differential equations,
and it really is proven thereby that the Lyapunov functionality V can
be chosen differentiable to a similar order because the correct members
of the method. within the related part we supply a illustration of
this functionality as a curvilinear critical and resolve the matter of
the analytic constitution of the appropriate participants of the method, which
right individuals have a zone of asymptotic balance that's prescribed
beforehand. In part 2 of bankruptcy II we reflect on the
case of holomorphic correct participants. The functionality V, the existence
of that's verified in part 1 of this bankruptcy, is represented
in this situation within the kind of convergent sequence, the analytic continuation
of which makes it attainable to procure the functionality within the entire
region of asymptotic balance. the strategy of building of such
series can be utilized for an approximate answer of convinced non-local
problems including the development of bounded suggestions in
the type of sequence, that converge both for t > zero or for t e (- oo,
+ oo). those sequence are bought from the truth that any bounded
solution is defined by means of services which are analytic with respect
to t in a undeniable strip or part strip, containing the genuine half-axis.
In part three of bankruptcy II we improve the speculation of equations with
homogeneous correct individuals. it's proven particularly that in
order for the 0 resolution of the approach to be asymptotically
stable, it will be important and enough that there exist homogeneous
functions: one confident convinced W of order m, and one
negative convinced V of order (m + 1 - #). such that dVfdt = W,
where # is the index of homogeneity of definitely the right individuals of the
system. If the perfect contributors of the approach are differentiable, then
these capabilities fulfill a procedure of partial differential equations,
the answer of which might be present in closed shape. This circumstance
makes it attainable to provide an important and enough for asymptotic balance within the case whilst the suitable members
are sorts of measure p. , at once at the coeffilients of those forms.
In Sections four and five of bankruptcy II we contemplate a number of doubtful
cases: ok 0 roots and 2k natural imaginary roots. We receive here
many effects at the balance, and in addition at the lifestyles of integrals
of the method and of the family members of bounded ideas. In part 6
of bankruptcy II the speculation built in bankruptcy I is utilized to the
theory of non-stationary platforms of equations. In it are formulated
theorems that stick with from the result of part 14, and a method
is additionally proposed for the research of periodic solutions.
In part 1 of bankruptcy III we remedy the matter of the analytic
representation of strategies of partial differential equations in the
case while the stipulations of the concept of S. Kovalevskaya are
not chuffed. The theorems received listed here are utilized in part 2
of bankruptcy III to structures of standard differential equations. This
supplements the investigations of Briot and Bouquet, H. Poincare,
Picard, Horn, and others, and makes it attainable to advance in
Section three of bankruptcy III a style of making sequence, describing
a relations of 0-curves for a procedure of equations, the expansions of
the correct individuals of which don't comprise phrases that are linear
in the capabilities sought. the strategy of building of such series
has made it attainable to offer one other method of the answer of the
problem of balance with regards to structures thought of in Sections 3-5
of bankruptcy II and to formulate theorems of balance, in keeping with the
properties of suggestions of definite structures of nonlinear algebraic
equations. hence, the 3rd bankruptcy represents an test at
solving the matter of balance via Lyapunov's first
In bankruptcy IV we back think of metric areas and households of
transformations in them. In part I of bankruptcy IV we introduce
the suggestion of a common procedure in metric space.
A normal method is a two-parameter relatives of operators from
R into R, having houses just like these present in suggestions of
the Cauchy challenge and the combined challenge for partial differential
equations. hence, the overall platforms are an summary version of
these difficulties. We additionally increase the following the concept that of balance of
invariant units of common platforms. In part 2 of bankruptcy IV,
Lyapunov's moment procedure is prolonged to incorporate the answer of difficulties of balance of invariant units of normal platforms. The
theorems received the following yield worthy and adequate conditions.
They are in response to the tactic of investigating two-parameter
families of operators by way of one-parameter households of
functionals. We additionally suggest right here a normal strategy for estimating
the distance from the movement to the invariant set. In part three of
Chapter IV are given a number of functions of the built theory
to the Cauchy challenge for platforms of standard differential equations.
Results are received the following that aren't present in the identified literature.
The 5th bankruptcy is dedicated to sure functions of the developed
theory to the research of the matter of balance of the
zero resolution of structures of partial differential equations within the case
of the Cauchy challenge or the combined challenge. In part I of
Chapter V are built normal theorems, which comprise a mode of
solving the soundness challenge and that are orientative in character.
In Sections 2-3 of bankruptcy V are given particular structures of partial
differential equations, for which standards for asymptotic balance are
found. In part three the research of the steadiness of a solution
of the Cauchy challenge for linear platforms of equations is carried
out simply by a one-parameter kin of quadratic functionals,
defined in W~N>. balance standards normalized to W~NJ are
obtained right here. although, the imbedding theorems make it possible
to isolate these situations while the soundness might be normalized in C.
In a similar part are given numerous examples of investigation
of balance when it comes to the combined problem.
For a profitable figuring out of the whole fabric discussed
here, it is vital to have a data of arithmetic equivalent
to the scope of 3 college classes. notwithstanding, in a few places
more really expert wisdom can also be invaluable.
This e-book addresses the historiography of arithmetic because it used to be practiced throughout the nineteenth and twentieth centuries by means of paying exact realization to the cultural contexts within which the heritage of arithmetic used to be written. within the nineteenth century, the heritage of arithmetic used to be recorded via a various variety of individuals knowledgeable in a number of fields and pushed by way of diverse motivations and goals.
- Vitushkin's Conjecture for Removable Sets (Universitext)
- Construction of Integration Formulas for Initial Value Problems
- Martingales; a report on a meeting at Oberwolfach May 17-23, 1970
- Lectures on the Action of a Finite Group
- The flow equation approach to many-particle systems
Additional resources for Informelle Mitgliedschaft in Brand Communities: Einflussfaktoren, Konsequenzen und Gruppenunterschiede
492; Mühlenbeck & Skibicki (2007), S. 75f. 264 Vgl. Andersen (2005), S. 285. 265 Vgl. Ackerman (1998), S. 36. 266 Vgl. Franke & Shah (2003), S. ; Franke et al. (2006), S. ; Kaul & Steinmann (2008), S. 12. 267 Vgl. Von Hippel (1986), S. 791. 268 Vgl. Andersen (2005), S. 285; Cova et al. (2007), S. 327; Pichler & Hemetsberger 269 Vgl. Amine & Sitz (2004), S. 12; Kaul & Steinmann (2008), S. 13. (2007), S. ; Pichler & Hemetsberger (2008), S. 2ff. 274 Neben dem Nachweis, dass Brand Communities unter anderem zu intensiverem Markenaffekt und Markenvertrauen,275 einer verstärkten Weiterempfehlung der Marke276 und sogar zur Entwicklung von Markenbotschaftern führen277 und damit Neukunden gewonnen werden können,278 haben zahlreiche empirische Studien und auch konzeptionelle Artikel aufgezeigt, dass aus der Mitgliedschaft in Brand Communities insbesondere eine erhöhte Markenloyalität bzw.
369 Vgl. Park et al. (2007), S. 214ff. 370 Vgl. Ouwersloot & Odekerken-Schröder (2008), S. 576ff. 371 Vgl. Boulaire et al. (2007), S. 2ff. 372 Vgl. Seebacher (2008), S. 2. 40 die Marken Jägermeister,373 Maggi,374 Lego,375 Nike376 und Ducati377 können Brand Communities ebenso nachgewiesen werden und es wird sichtbar, dass dieses Phänomen nicht auf einzelne Produktgruppen beschränkt ist, sondern in sämtlichen Branchen zur Anwendung kommt. An dieser Stelle sollen keine zusätzlichen Beispiele von existierenden Brand Communities im Aufzählungsverfahren angeführt werden.
Forthcoming), S. 26; Algesheimer et al. (2005), S. ; Bhattacharya & Sen (2003), S. ; Dholakia et al. (2004), S. ; McAlexander et al. (2002), S. ; Schouten & McAlexander (1995), S. 53ff. 107 Vgl. B. Lindgren (1973), S. ; Newcomb (1959), S. ; Mann (1991), S. ; 108 Vgl. Forgas (1987), S. 263ff. 109 Vgl. Newcomb (1959), S. 15. 110 Vgl. Muniz Jr & O'Guinn (2001), S. 412. Bierhoff (2006), S. 412ff. 111 Vgl. B. Mann (1991), S. , Van Avermaet (2002), S. 451ff. oder Hartley & Hartley (1969), S. 325ff. 112 Die vorliegende Dissertation hat sich unter anderem zum Ziel gesetzt, Einflussfaktoren auf und die Auswirkungen durch die Identifikation mit einer Brand Community auf das Konsumentenverhalten zu untersuchen.