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ACM Transactions on Graphics, 2012
We present a novel representation of maps between pairs of shapes that allows for efficient inference and manipulation. Key to our approach is a generalization of the notion of map that puts in correspondence real-valued functions rather than points on the shapes.
Maks Ovsjanikov +4 more
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We present a novel representation of maps between pairs of shapes that allows for efficient inference and manipulation. Key to our approach is a generalization of the notion of map that puts in correspondence real-valued functions rather than points on the shapes.
Maks Ovsjanikov +4 more
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Presurgical functional mapping with functional MRI
Current Opinion in Neurology, 2008The present article describes current indications for functional MRI in the preoperative planning of neurosurgical patients. Functional MRI continues to have an expanding role.There are three main categories of patients who commonly undergo preoperative functional MRI.
Aabir, Chakraborty, Andrew W, McEvoy
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Proceedings 1998 International Conference on Image Processing. ICIP98 (Cat. No.98CB36269), 2002
Functional magnetic resonance imaging or fMRI is a means by which dynamic processes in the body can be imaged. The ability to measure real time processes exists thanks to technological advances in the system hardware and the imaging techniques inherent in MRI itself.
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Functional magnetic resonance imaging or fMRI is a means by which dynamic processes in the body can be imaged. The ability to measure real time processes exists thanks to technological advances in the system hardware and the imaging techniques inherent in MRI itself.
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Journal of Combinatorial Theory, Series A, 2013
Abstract We consider functions f from [ n ] : = { 1 , 2 , … , n } into itself satisfying that the labels along the iteration orbit of each i ∈ [ n ] are forming an alternating sequence, i.e., i f ( i ) > f 2 ( i ) f 3 ( i ) > ⋯ or i > f ( i ) f 2 ( i ) > f
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Abstract We consider functions f from [ n ] : = { 1 , 2 , … , n } into itself satisfying that the labels along the iteration orbit of each i ∈ [ n ] are forming an alternating sequence, i.e., i f ( i ) > f 2 ( i ) f 3 ( i ) > ⋯ or i > f ( i ) f 2 ( i ) > f
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The Quarterly Journal of Mathematics, 1961
Für eine Folge von Funktionen \( F_{n}(x) \) mit ...
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Für eine Folge von Funktionen \( F_{n}(x) \) mit ...
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Intraoperative MRI and Functional Mapping
2010The integration of functional and anatomical data into neuronavigation is an established standard of care in many neurosurgical departments. Yet, this method has limitations as in most cases the data are acquired prior to surgery. Due to brain-shift the accurate presentation of functional as well as anatomical structures declines in the course of ...
Gasser, Thomas +7 more
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Functional Mapping of Surfactant Protein A
Fetal and Pediatric Pathology, 2001Surfactant protein A (SP-A) is a highly ordered, oligomeric glycoprotein that is secreted into the airspaces of the lung by alveolar type II cells and Clara cells of the pulmonary epithelium. Although research has shown that SP-A is both a calcium-dependent phospholipid-binding protein that affects surfactant structure and function and a lectin that ...
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Functions, Mappings, and Mapping Diagrams
The Mathematics Teacher, 1973Mathematicians, mathematics educators, and educational psychologists agree that “unifying concepts” are important in learning mathematics. More emphatically, mathematicians and mathematics educators realize that the concept of function, or mapping (in this paper the terms are synonymous), has great unifying power.
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On d.c.~functions and mappings
2003A real function \(f\) defined on a convex subset \(C\) of \(\mathbb{R}^n\) is called a d.c.~function if it can be written as the difference of two convex functions. In the case \(n=1\), d.c.~functions agree with the primitives of functions with locally bounded variations. In \(\mathbb{R}^n\) they were considered for the first time by \textit{A.
J. Duda, L. Vesely, L. Zajicek
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1979
A function f: X→ Y is open (closed) if and only if the image of each open (closed) set in X is open (closed) in Y.
Gordon Whyburn, Edwin Duda
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A function f: X→ Y is open (closed) if and only if the image of each open (closed) set in X is open (closed) in Y.
Gordon Whyburn, Edwin Duda
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