Bundling degree

The small grey circles are individual preimage sets the bundling property guarantees that they are of a certain minimum size d, the bundling degree. The range need not be the whole codomain. 

The purpose of T is to guarantee that the bundling degree is at least 2. ... 

The bundling degree of pair exponentiation is the group order q (Corollary 8.4). 

The function that determines the bundling degree is simply defined by... 

Functions tau and taui that determine the bundling degree in the schemes with local verifiability and with zero-knowledge proof, respectively, are defined as follows ... 

Obviously, the only property of the scheme that could be affected by this restriction of the secret key space is the security for the signer. (Effectiveness of authentication holds for each key individually.) Furthermore, Lemma 9.6b is unchanged hence only the likelihood of guessing the correct signature has to lie reconsidered. The functions % on the restricted domains are the functions which are still of bundling degree 2 by Lemma 8.17b. Hence Lemma 9.7 can be proved for them, too. Thus an upper bound on the sizes of the sets = [d e I h id) = 1 a... 

In petrochemical plants, fans are most commonly used ia air-cooled heat exchangers that can be described as overgrown automobile radiators (see HeaT-EXCHANGEtechnology). Process fluid ia the finned tubes is cooled usually by two fans, either forced draft (fans below the bundle) or iaduced draft (fans above the bundles). Normally, one fan is a fixed pitch and one is variable pitch to control the process outlet temperature within a closely controlled set poiat. A temperature iadicating controller (TIC) measures the outlet fluid temperature and controls the variable pitch fan to maintain the set poiat temperature to within a few degrees. 

Louver Failure - Inadvertent louver closure may result from automatic control failure or mechanical linkage failure. The effect on heat transfer will depend on the degree of restriction to air flow in the closed position and the configuration of louvers in relation to tube bundles (e.g., louvers may not be installed over all tube bundles in a given service). 

Di, = bundle diameter, ft L = average bundle length, ft A = bundle heat transfer surface, fP (outside) a = tube layout angle, degrees... 

First-degree AV nodal blockade occurs due to inhibition of conduction within the upper portion of the node.15 Mobitz type I second-degree AV nodal blockade occurs as a result of inhibition of conduction further down within the node.12,15 Mobitz type II second-degree AV nodal blockade is caused by inhibition of conduction within or below the level of the bundle of His.12,15 Third-degree AV nodal blockade maybe a result of inhibition of conduction either within the AV node or within the bundle of His or the His-Purkinje system.12,15 AV block may occur as a result of age-related AV node degeneration. 

ECC first-degree heart block, right bundle-branch block, and arrhythmias... 

A number of systems which in polymer literature are normally referred to as mesophases are obtained under kinetic control. Examples are the smectic phase of isotactic polypropylene [18,19], mesomorphic syndiotac-tic polypropylene [20-22], mesomorphic PET [23,24], and other instances where intermediate degrees of order result after quenching polymers from the melt to temperatures often close to Tg. In these cases disorder is plausibly more static than in bundles close to T0 and these phases usually crystallize upon heating to an appropriate temperature in the stable crystal phases. 

Pre-crystalline order in PET has been investigated by a number of different groups and in the present volume the issue is reviewed under different perspectives in two other contributions [25,26]. Nodular structures measuring ca. 7.5 nm and ca 15 nm apart in PET quenched from the melt close to Tg were first described by Geil [27,28]. Such structures are essentially amorphous, albeit characterized by some degree of orientational order and by a significantly higher density as compared to the fully isotropic polymer. They are indeed qualitatively compatible with the bundle model we propose [29]. Apparently... 

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