scholarly journals A Simplified Implementation of the Fixed-Function Graphics Pipeline: DRM Approach

Author(s):  
Nakhoon Baek
Keyword(s):  

Modular plants are structurally stable systems. Perturbations in the genome that arise during growth (somatic mutations) are, it is conjectured, detected and eliminated by diplontic selection at the apical meristem. This requires accurate control, which, it is suggested, results in the accuracy of module arrangement, or phyllotaxy. During differentiation vegetative modules tend to retain autonomy and totipotency; the differentiated state is maintained by a constant flux of signals between parts. This enables damage to be repaired and differentiation to be adjusted to the availability of resources. The differentiation of modules to form flowers, on the other hand, is achieved by loss of totipotency, by hierarchical organization of the genotype, and by tissue-specific signals between parts. Elaborate, but fixed-function, structures can be produced in this way. The physiology of modular plants is best described in terms of cooperation, not competition, between modules. The theory of multicomponent systems predicts that as plants increase in size, structural stability of growth will be lost unless the connectance between modules is kept below a critical value. Experiments confirm that the exchanges of assimilate between modules are limited, but not fixed (the system can adapt to damage). The distribution system is vulnerable to exchanges that might benefit individual modules but that would reduce the inclusive fitness of the genome. Such exchanges are controlled by the organized senescence of branches, leaves, fruit and ovules.


Author(s):  
F. V. Atkinson

SynopsisWe consider the set S(f) of λ-values for which there exists a function g ∊ L(t0, ∞) such thathas a solution not tending to 0; here f is a fixed function which is positive, non-decreasing and tends to ∞ with t. It is shown that if the jumps of logf(t) at its discontinuities are uniformly bounded, then S(f) is an additive group. This group is determined in some cases; some related groups are noted, which may coincide with S(f).


2008 ◽  
Vol 4 (1) ◽  
pp. 13 ◽  
Author(s):  
Andrei Gurtov

In this paper, we analyze backoff protocols, such as the one used in Ethernet. We examine a general backoff function(GBF) rather than just the binary exponential backoff (BEB) used by Ethernet. Under some mild assumptions we find stability and optimality conditions for a wide class of backoff protocols with GBF. In particular, it is proved that the maximal throughput rate over the class of backoff protocols is a fixed function of the number of stations (N) and the optimal average service time is about Ne for large N. The reasons of the instability of the BEB protocol (for a big enough input rate) are explained. Additionally, the paper introduces novel procedure for analyzing bounded backoff protocols, which is useful for creating new protocols or improving existing, as no protocol can use unbounded counters.


Author(s):  
Yunsup Lee ◽  
David Sheffield ◽  
Andrew Waterman ◽  
Michael Anderson ◽  
Kurt Keutzer ◽  
...  

2019 ◽  
Vol 31 (6) ◽  
pp. 1501-1516 ◽  
Author(s):  
Chiara Gavioli

AbstractWe establish the higher differentiability of integer order of solutions to a class of obstacle problems assuming that the gradient of the obstacle possesses an extra integer differentiability property. We deal with the case in which the solutions to the obstacle problems satisfy a variational inequality of the form\int_{\Omega}\langle\mathcal{A}(x,Du),D(\varphi-u)\rangle\,dx\geq 0\quad\text{% for all }\varphi\in\mathcal{K}_{\psi}(\Omega).The main novelty is that the operator {\mathcal{A}} satisfies the so-called {p,q}-growth conditions with p and q linked by the relation\frac{q}{p}<1+\frac{1}{n}-\frac{1}{r},for {r>n}. Here {\psi\in W^{1,p}(\Omega)} is a fixed function, called obstacle, for which we assume {D\psi\in W^{1,2q-p}_{\mathrm{loc}}(\Omega)}, and {\mathcal{K}_{\psi}=\{w\in W^{1,p}(\Omega):w\geq\psi\text{ a.e. in }\Omega\}} is the class of admissible functions. We require for the partial map {x\mapsto\mathcal{A}(x,\xi\/)} a higher differentiability of Sobolev order in the space {W^{1,r}}, with {r>n} satisfying the condition above.


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