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Functionalism and mental boundaries
Cognitive Systems Research, 2008Advocates of extended mind often appeal to the theory of mind known as ''functionalism'' in support of the idea that the realization of mental properties can extend beyond the brain. In this paper I argue that functionalism is largely silent with respect to the extent of a realization.
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Continuity of the Visibility Function in the Boundary
Geometriae Dedicata, 2000The authors prove that a visibility function of a compact subset \(S\) of Euclidean \(d\)-space is continuous at a point if and only if the set of restricted visibility of this point has null Lebesgue outer measure. Let us recall the notions required for understanding this theorem.
Piacquadio Losada, M. +2 more
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The Boundary Matrix of Threshold Functions
IEEE Transactions on Electronic Computers, 1965In the design of registers for controlling a digital process, it is often desired to count through a sequence of specified length and terminate the count by returning to the initial state. A penalty is associated with the use of a straightforward binary code for such counters because of the large number of diodes required to implement the counter, and ...
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On the Boundary Behaviour of Polymorphic Functions
Computational Methods and Function Theory, 2012Let \(\Phi\) be a Fuchsian group on the unit disk \(\mathbb{D}\). A non-constant, meromorphic function \(f\) is called \(\Phi\)-polymorphic if, for every \(\varphi \in \Phi,\) there is a Moebius transformation \(\gamma\) such that \(f\circ\varphi = \gamma \circ f\). Defining \(f^{*}(\varphi) = \gamma,\) one obtains a homomorphism \[ f^{*}:\Phi \mapsto \
Mejía, Diego, Pommerenke, Christian
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BOUNDARY PROPERTIES OF ARBITRARY FUNCTIONS
Mathematics of the USSR-Izvestiya, 1967We study the dependence between various sets of limiting boundary values of an arbitrary function f of z. In particular we show that the Plesner theorem on angular boundary values of analytic functions generalizes in a natural way to arbitrary functions.
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Boundaries in Development: Formation and Function
Annual Review of Cell and Developmental Biology, 2001▪ Abstract Developing organisms may contain billions of cells destined to differentiate in numerous different ways. One strategy organisms use to simplify the orchestration of development is the separation of cell populations into distinct functional units. Our expanding knowledge of boundary formation and function in different systems is beginning to
K D, Irvine, C, Rauskolb
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1967
PhD ; Mathematics ; University of Michigan, Horace H. Rackham School of Graduate Studies ; http://deepblue.lib.umich.edu/bitstream/2027.42/179830/2/6717790 ...
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PhD ; Mathematics ; University of Michigan, Horace H. Rackham School of Graduate Studies ; http://deepblue.lib.umich.edu/bitstream/2027.42/179830/2/6717790 ...
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On the Formulation of Boundary Layer Functions
2021 International Conference on Information and Communication Technology Convergence (ICTC), 2021Assiya Zhumanazarova, Young Im Cho
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On functions of bounded boundary rotation
1985In this note, the authors consider the class \(V_ K\) of all functions f, holomorphic in the open unit disc E with f'(z)\(\neq 0\) there and \(f(0)=f'(0)-1=0\), with boundary rotation at most \(2\pi\) k, \(k\geq 1\). \(f\in V_ k\) satisfies \[ \int_{0}^{2\pi}| Re(1+(zf''(z)/f'(z)))| d\theta \leq 2\pi k,\quad z=re^{i\theta}, \] for all \(r\in [0,1 ...
Armstrong, T. E., Reade, Maxwell O.
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A boundary shape function iterative method for solving nonlinear singular boundary value problems
Mathematics and Computers in Simulation, 2021Chein-Shan Liu +2 more
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