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Iterates of fractional order

Rufus Isaacs
1950 Canadian Journal of Mathematics - Journal Canadien de Mathematiques  
If the range and domain of g are distinct we can thus take E to be their union.  ...  This problem typifies the general one of iteration. Let g k (x) be the &th order iterate of g [i.e. g°(x) = x, g k+1 (x) = g(g k (x))].  ...  Let n = 2k + 1. 2) The branches of L are disjointedly the union of a set of branches S and a set of branch clusters S.  ... 
doi:10.4153/cjm-1950-038-8 fatcat:tbv2trgd6zbw3gbrottvp7hvgq

Page 611 of The American Mathematical Monthly Vol. 58, Issue 9 [page]

1951 The American Mathematical Monthly  
If the system (1) has two distinct real roots and two complex, there will be one real root in each of the two regions between the branches of F\(—x/2, —y/2) =0.  ...  The two branches of the curve F,\(—x/2, —y/2)=0 and the two branches of the hyperbola 4xy=1 divide the x, y-plane into six regions. (The lower left branches are tangent at (—1/2, —1/2).)  ... 

SlimCodeML: An Optimized Version of CodeML for the Branch-Site Model

Hannes Schabauer, Mario Valle, Christoph Pacher, Heinz Stockinger, Alexandros Stamatakis, Marc Robinson-Rechavi, Ziheng Yang, Nicolas Salamin
2012 2012 IEEE 26th International Parallel and Distributed Processing Symposium Workshops & PhD Forum  
We present SlimCodeML, an optimized version of CodeML for the branch-site model.  ...  CodeML (part of the PAML package) implements a maximum likelihood-based approach to detect positive selection on a specific branch of a given phylogenetic tree.  ...  A higher number of species usually results in a higher number of branches and consequently in a higher number of iterations and amount of time spent per iteration.  ... 
doi:10.1109/ipdpsw.2012.88 dblp:conf/ipps/SchabauerVPSSRYS12 fatcat:ixuaaqfdmnghfkthsgdyg3jtla

On the detection of unstructuredness in flowgraphs

T.H. Tse
1987 Information Processing Letters  
According to the authors, unstructuredness is caused by four elements −− branching into a selection, branching out of a selection, branching into a loop and branching out of a loop.  ...  Conclusion We hav e defined the concepts of skeleton, module, branch, entry and iteration exit in a flowgraph.  ...  Proposition 3 Givenad ecision node n,an ode p is in the branch B α (n)i fa nd only if there is a finite sequence of distinct skeletons <q β 0 (m 0 )... q β r (m r )> such that p ∈ q β 0 (m 0 ); m i−1 ∈  ... 
doi:10.1016/0020-0190(87)90131-1 fatcat:zupc7au5b5cm7mw6y2jxucxbyy

Phylogenetic and Structural Analysis of the Intergenic Region of Tobacco Leaf Curl Geminivirus

Arun SHARMA, Takeshi OSAKI, Masato IKEGAMI
1998 Japanese Journal of Phytopathology  
The significant but low sequence homology in the IR and AC1 ORF between TLCV and other WTGs suggests it is a distinct geminivirus pertaining to the Old World branch.  ...  The numbers above the branches refer to the percent identity in which the given branch is supported.  ... 
doi:10.3186/jjphytopath.64.187 fatcat:3n53zmnr5rflddgtqqxqjc2foy

More 3-manifolds with multiple knot-surgery and branched-cover descriptions

Charles Livingston
1982 Mathematical proceedings of the Cambridge Philosophical Society (Print)  
We will also give examples of 3-manifolds which are i^-fold cyclic branched covers of S 3 over 2 distinct knots.  ...  Giller (5) has given examples of 3-manifolds which arise as cyclic branched covers over distinct knots in S 3 .  ...  Here is our example of distinct knots with the same r-fold cyclic branched covers. Pick# and q relatively prime to r, and distinct. Start with a Hopf link. (A (2,2)-torus link.)  ... 
doi:10.1017/s0305004100059533 fatcat:35s72muchnbynmf4o36b4wfhhm

SIMT Microscheduling: Reducing Thread Stalling in Divergent Iterative Algorithms

Steffen Frey, Guido Reina, Thomas Ertl
2012 2012 20th Euromicro International Conference on Parallel, Distributed and Network-based Processing  
We propose techniques for branch and loop divergence (which may also be combined) switching to suitable tasks during a GPU kernel run every time divergence occurs.  ...  Our newly introduced techniques can easily be applied to arbitrary iterative algorithms and we evaluate the performance and effectiveness of our approach exemplarily via synthetic and real world applications  ...  At least one thread enters the branch reliably in each iteration from a branch probability of ≈ 0.1.  ... 
doi:10.1109/pdp.2012.62 dblp:conf/pdp/FreyRE12 fatcat:6m7wznrzpzhlrgg2ky62ynil3i

WHU at TREC Total Recall Track 2015

Chuan Wu, Wei Lu, Ruixue Wang
2015 Text Retrieval Conference  
We propose an iterative query expansion method, which construct queries using iteratively selected terms. We choose to participate the "Play-at-home" evaluation. Results are presented and discussed.  ...  Our approach consists of two iterative steps, i.e. document retrieval, and distinctive term selection.  ...  All relevant documents are grouped into the Relevant Result Set (RRS), which is denoted as RRSij. 5) If RRSi is empty, then this branch ends, otherwise extract all distinctive terms from RRSij and denote  ... 
dblp:conf/trec/WuLW15 fatcat:y3v6u25guvft7dyn5ea7ddgizq

Computational modeling of retinotopic map development to define contributions of EphA-ephrinA gradients, axon-axon interactions, and patterned activity

Paul A. Yates, Alex D. Holub, Todd McLaughlin, Terrence J. Sejnowski, Dennis D.M. O'Leary
2004 Journal of Neurobiology  
branch elimination to generate a precise retinotopic map.  ...  Generating a refined map with a condensed TZ as in vivo requires an additional parameter that enhances branch formation along an RGC axon near sites that it has a higher branch density, and resembles an  ...  By late stage [ Fig. 8(A) , iteration 200], the two populations have formed separate, distinct TZs.  ... 
doi:10.1002/neu.10341 pmid:15007830 pmcid:PMC2927824 fatcat:ktakdhcxmfgffehkzcsiqy5dse

Practical Multidimensional Branch Prediction

Andre Seznec, Joshua San Miguel, Jorge Albericio
2016 IEEE Micro  
For some branches encapsulated in a multidimensional loop, their outcomes are correlated with those of the same branch in neighbor iterations, but in the previous outer loop iteration.  ...  In this paper, we introduce a practical, cost-effective mechanism for capturing multidimensional branch correlations: the Inner Most Loop Iteration (IMLI) counter.  ...  On a processor with a large instruction window, distinct static branches can have speculative occurrences in-flight at the same time.  ... 
doi:10.1109/mm.2016.33 fatcat:2c4dz5k5vrddrk2qbywsysso34

Code generation schema for modulo scheduled loops

B. Ramakrishna Rau, Michael S. Schlansker, P. P. Tirumalai
1992 ACM SIGMICRO Newsletter  
Software pipelining is an important instruction scheduling technique for efficiently overlapping successive iterations of loops and executing them in parallel.  ...  Operations in the kernel code which are from distinct stages are from distinct iterations of the original loop.  ...  usage conflict arises between operations of either the same or distinct iterations.  ... 
doi:10.1145/144965.145795 fatcat:45zdocdtkfh3nnm7gbbu5lte3y

Page 483 of American Society of Civil Engineers. Collected Journals Vol. 115, Issue 4 [page]

1898 American Society of Civil Engineers. Collected Journals  
The branch-and-bound enumeration procedure has, we believe, distinct advantages for plan formulation. The evaluation procedure is consistent with current plan formulation procedures.  ...  This bound, 585.74 thousand, is less than the trial optimum of iteration 3.  ... 

Models of Quantum Turing Machines [chapter]

Paul Benioff
2004 Quantum Computing  
The requirement that T be distinct path generating is reviewed.  ...  Other examples are discussed in which the graph structures correspond to interferometers and iterations of interferometers. 03.65.Bz,89.70.+c Typeset using REVT E X  ...  In addition a nonterminating binary tree is attached to each terminal branch of the last (hth) tree in the iteration. It remains to discuss the proof that T and T † are distinct path generating.  ... 
doi:10.1002/3527603093.ch7 fatcat:4bdt45ikkzez7otiqxvxvopxee

Aspects Of Implementing CLU

Russell R. Atkinson, Barbara H. Liskov, Robert W. Scheifler
1978 Proceedings of the 1978 annual conference on - ACM 78  
Linguistic mechanisms used in CLU to support 1) structured exception handling, 2) iteration over abstract objects, and 3) parameterized abstractions are briefly reviewed, and methods of realizing these  ...  branch table entry for the exception being signalled.  ...  The first method, called the branch table method, is to follow each invocation with a branch table containing one entry for each exception that can be raised by the invocation.  ... 
doi:10.1145/800127.804079 dblp:conf/acm/AtkinsonLS78 fatcat:mwvjskjhmbcz7nu2bxngi7xgkm
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