TY  - JOUR
A1  - Unterkofler, Karl
A1  - Teschl, Susanne
T1  - On the influence of inhaled volatile organic compounds (VOCs) on exhaled VOCs concentrations
JF  - Proceedings of the 10. Forschungsforum der Österreichischen Fachhochschulen
KW  - Organic Compounds
Y1  - 2018
ER  - 
TY  - GEN
A1  - Simeonov, Emil
T1  - Living Mathematics—some limits for abstraction in mathematics and their relation to experience
KW  - Mathematics
Y1  - 
ER  - 
TY  - CHAP
A1  - Simeonov, Emil
T1  - Is Mathematics an Issue of General Education?
T2  - Mathematical Cultures: The London Meetings 2012-2014
KW  - Mathematics
KW  - Education
Y1  - 2018
ER  - 
TY  - GEN
A1  - Simeonov, Emil
A1  - Pieronkiewicz, Barbara
T1  - The Global Math Project
KW  - Mathematics
Y1  - 2018
ER  - 
TY  - GEN
A1  - Simeonov, Emil
T1  - Is Mathematics an Issue of General Education?
KW  - Mathematics
KW  - Education
Y1  - 2018
ER  - 
TY  - BOOK
A1  - Petschnigg, Ursula
A1  - Simeonov, Emil
A1  - Mairinger, Daniela
A1  - Schmid, Christian
T1  - Portfolio für den Mathematikunterricht an Bildungsanstalten für Kindergartenpädagogik
KW  - Mathematics
Y1  - 
ER  - 
TY  - GEN
A1  - Simeonov, Emil
T1  - Structure, Semiosis and Time - Anticipation and Surprise Recognition of Structure and Gestalt – exemplified by similarities between music and mathematics
KW  - Mathematics
Y1  - 
ER  - 
TY  - BOOK
A1  - Simeonov, Emil
A1  - Mairinger, Daniela
A1  - Schmid, Christian
T1  - Mathematische Früherziehung - Formen
KW  - Mathematics
Y1  - 
ER  - 
TY  - JOUR
A1  - Kuba, Markus
A1  - Panholzer, Alois
T1  - On bucket increasing trees, clustered increasing trees and increasing diamonds
JF  - Combinatorics, Probability and Computing
N2  - In this work we analyse bucket increasing tree families. We introduce two simple stochastic growth processes, generating random bucket increasing trees of size n, complementing the earlier result of Mahmoud and Smythe (1995, Theoret. Comput. Sci.144 221–249.) for bucket recursive trees. On the combinatorial side, we define multilabelled generalisations of the tree families d-ary increasing trees and generalised plane-oriented recursive trees. Additionally, we introduce a clustering process for ordinary increasing trees and relate it to bucket increasing trees. We discuss in detail the bucket size two and present a bijection between such bucket increasing tree families and certain families of graphs called increasing diamonds, providing an explanation for phenomena observed by Bodini et al. (2016, Lect. Notes Comput. Sci.9644 207–219.). Concerning structural properties of bucket increasing trees, we analyse the tree parameter Kn . It counts the initial bucket size of the node containing label n in a tree of size n and is closely related to the distribution of node types. Additionally, we analyse the parameters descendants of label j and degree of the bucket containing label j, providing distributional decompositions, complementing and extending earlier results (Kuba and Panholzer (2010), Theoret. Comput. Sci.411(34–36) 3255–3273.).
KW  - bucket-increasing-trees
KW  - clustered-trees
KW  - stochastic-growth-processes
KW  - descendants
KW  - nodedegrees
Y1  - 2021
IS  - Volume 31 , Issue 4
SP  - 629
EP  - 661
ER  - 
TY  - JOUR
A1  - Huber, Albert
T1  - Remark on the quasilocal calculation of tidal heating: Energy transfer through the quasilocal surface
JF  - American Physical Society - Physical Review D
N2  - In this paper, using the quasilocal formalism of Brown and York, the flow of energy through a closed surface containing a gravitating physical system is calculated in a way that augments earlier results on the subject by Booth and Creighton. To this end, by performing a variation of the total gravitational Hamiltonian (bulk plus boundary part), it is shown that associated tidal heating and deformation effects generally are larger than expected. This is because the aforementioned variation leads to previously unrecognized correction terms, including a bulk-to-boundary inflow term that does not appear in the original calculation of the time derivative of the Brown-York energy and leads to corrective extensions of Einstein’s quadrupole formula in the large sphere limit.
KW  - gravitation
KW  - cosmology
KW  - fields
Y1  - 
VL  - 105
IS  - 2
ER  -