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Supplement Notes
"... The implications of microbial and substrate limitation for the fates of carbon in different organic soil horizon types of boreal forest ecosystems: a mechanistically based model analysis Y. He et al. ..."
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The implications of microbial and substrate limitation for the fates of carbon in different organic soil horizon types of boreal forest ecosystems: a mechanistically based model analysis Y. He et al.
Me307 Supplemental Notes
"... t)andU(t) coincide at the end points of the interval [t 1 ,t 2 ], where t 1 ,andt 2 are arbitrary. Now that we have the stage more or less set up, lets see what rules the functional F (U, U,t)mustobey to render (1) extreme. We have, by definition, that the function u(t) renders I stationary, he ..."
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t)andU(t) coincide at the end points of the interval [t 1 ,t 2 ], where t 1 ,andt 2 are arbitrary. Now that we have the stage more or less set up, lets see what rules the functional F (U, U,t)mustobey to render (1) extreme. We have, by definition, that the function u(t) renders I stationary, hence, we know this occurs when U(t)=u(t), or # = 0. this situation is depicted in Figure 1 Thus, assuming that t 1 ,andt 2 are not functions of #, we set the first derivative of I(#) equal to zero. # # (U, U,t)dt =0. (3) However, (U, U,t)= #F #U #U # U U ## , (4) so substituting Equation (4) into Equation (3), and setting # =0,wehave # # #u Figure 1. Relationship between extremizing function u(t), and variation ##(t). Integration of Equation (5) by parts yields: # # dt #F dt + F#(t) t 1 =0. (6) The last term in Equation (6) vanishes because of the stipulation #(t 1 )=#(t 2 )=0,whichleaves # # dt #F By the funda
Supplemental Notes for “Finite Order Implications of Common Priors”
, 2003
"... These notes provide more details on the Mertens–Zamir [1985] universal belief space ..."
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These notes provide more details on the Mertens–Zamir [1985] universal belief space
4 Safety Evaluation Review supplemental notes
, 2010
"... Objective: This section collects and fo:rrnalizes several analyses that I developed as personal notes during the early stages of the safety evaluation review of the Yucca Mountain (YM) license application. These analyses provide supplemental information related to the intleraction between uncertaint ..."
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Objective: This section collects and fo:rrnalizes several analyses that I developed as personal notes during the early stages of the safety evaluation review of the Yucca Mountain (YM) license application. These analyses provide supplemental information related to the intleraction between
Me307 Supplemental Notes For Chapter 6
"... t #(t) must vanish at t = t 1 , and t = t 2 . In other words, u(t) and U(t) coincide at the end points of the interval [t 1 ,t 2 ], where t 1 , and t 2 are arbitrary. Now that we have the stage more or less set up, lets see what rules the functional F (U, U , t) must obey to render (1) extreme. ..."
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t #(t) must vanish at t = t 1 , and t = t 2 . In other words, u(t) and U(t) coincide at the end points of the interval [t 1 ,t 2 ], where t 1 , and t 2 are arbitrary. Now that we have the stage more or less set up, lets see what rules the functional F (U, U , t) must obey to render (1) extreme. We have, by definition, that the function u(t) renders I stationary, hence, we know this occurs when U(t) = u(t), or # = 0. this situation is depicted in Figure 1 Thus, assuming that t 1 , and t 2 are not functions of #, we set the first derivative of I(#) equal to zero. U , t)dt = 0. (3) However, U , t) = #U #U ## , (4) so substituting Equation (4) into Equation (3), and setting # = 0, we have #u Figure 1: Relationship between extremizing function u(t), and variation ##(t). Integration of Equation (5) by parts yields: dt #F dt + F#(t) = 0. (6) The last term in Equation (6) vanishes because of the stipulation #(t 1 ) = #(t 2 ) = 0, which leaves dt #F By th
A General Purpose ComputerAssisted Clustering Methodology: Supplemental Notes
, 2010
"... We summarize here the types of different clustering algorithms included in our applications and software. Existing algorithms are most often described as either statistical and algorithmic. The statistical models are primarily mixture models, including a large variety of finite mixture models (Frale ..."
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Cited by 20 (5 self)
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We summarize here the types of different clustering algorithms included in our applications and software. Existing algorithms are most often described as either statistical and algorithmic. The statistical models are primarily mixture models, including a large variety of finite mixture models (Fraley and Raftery, 2002; Banerjee et al., 2005; Quinn et al., 2006), infinite mixture models based on the Dirichlet process prior (Blei and Jordan, 2006), and mixture models (Blei, Ng and Jordan, 2003). The algorithmic approaches include methods that partition the documents directly, those that create a hierarchy of clusterings, and those which add an additional step to the clustering procedure. The methods include some which identify an exemplar document for each cluster (Kaufman and Rousseeuw, 1990; Frey and Dueck, 2007) and those which do not (Schrodt and Gerner, 1997; Shi and Malik, 2000; Ng, Jordan and Weiss, 2002; von Luxburg, 2007). The hierarchical methods can be further subdivided into agglomerative (Hastie, Tibshirani and Friedman, 2001), divisive (Kaufman and Rousseeuw, 1990), and other hybrid methods (Gan, Ma and Wu, 2007). To use in our program, we obtain a flat partition of the documents from hierachical clustering methods. A final group includes methods which group words and documents together simulatenously (Dhillon, 2003) and those which embed the documents into lower dimensional space and then cluster (Kohonen,
Supplemental Note on CounttoInfinity Induced Forwarding Loops in Ethernet Networks
"... Abstract — Ethernet forwarding loops are dangerous. Packets can be trapped in a loop and cause network congestion and instability. Furthermore, packet forwarding can be disrupted due to the pollution of forwarding tables. In this report, we show that the “counttoinfinity ” behavior in Ethernet’s R ..."
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Abstract — Ethernet forwarding loops are dangerous. Packets can be trapped in a loop and cause network congestion and instability. Furthermore, packet forwarding can be disrupted due to the pollution of forwarding tables. In this report, we show that the “counttoinfinity ” behavior in Ethernet’s Rapid Spanning Tree Protocol (RSTP) can lead to a temporary forwarding loop. Additionally, we identify the causes for the formation of this forwarding loop: races between protocol control packets traversing the network, races between RSTP state machines, and nondeterminism within RSTP state machines. Finally, we present an annotated trace of RSTP events for an example network as an existential proof of the formation of a forwarding loop during count to infinity. I.
Oksana “Supplemental Notes to Demographic Transition and Industrial Revolution: A Macroeconomic Investigation.” Online supplement available at www.unc.edu/~oksana
, 2006
"... 2.1.1 Existence and uniqueness of the solution to (DP)..................... 3 ..."
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2.1.1 Existence and uniqueness of the solution to (DP)..................... 3
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