Definitions and Concepts. In order to state the basic definition behind the hypergraph regularity lemma, we will need to extend the concept of quasirandomness and define quasi- randomness of a hypergraph relative to a graph. In what follows we shall consider a tripartite 3-uniform hypergraph H ⊆ K3(G), where G is the un- derlying tripartite graph. In order to define what it means for a hypergraph H to be quasirandom relative to a graph G, we need to consider the (rela- tive) density of H w.r.t. G instead of the (absolute) density. More precisely, if G = G12 ∪ G23 ∪ G13 is a tripartite graph and H is a tripartite 3-uniform hypergraph with H ⊆ K3(G), then the relative density of H w.r.t. G is α = d(H|G) = |H|/|K3(G)|. We can now define what it means for H to “sit quasirandomly” in G, where G = G12 ∪ G23 ∪ G13 consists of three ε-quasirandom bipartite graphs.
Definitions and Concepts. Test dates. Quantitative indicative targets are set quarterly starting December 31, 2008 through June 30, 2009, and are to be met at the end of each quarter unless otherwise specified.
Definitions and Concepts. 1. In these Terms and Conditions – hereinafter referred to as ‘Terms’ - the following terms are used in the sense given below, unless explicitly indicated otherwise: AVE: The private company AV Emea BV, located on Xxxxxxxxxxxxxx 00, 0000 XX Xxxx xx Xxxxxxx, registered in the Commercial Register under number 54253039.
Definitions and Concepts. In these general terms and conditions, the following terms are used in the following meaning, unless expressly stated otherwise: by both parties and the documents that may be declared applicable therein.
Definitions and Concepts. PPP: the limited liability company Pe-Pe Parts B.V., wholesaler in scooter and moped parts and complete scooters/mopeds, registered and with offices at Xxxxxxx 0, 0000 XX Xxxxxxxxxx, registered in the Trade register under number 27239079. Buyer: the counterparty of PPP. Agreement: the agreement between Buyer and PPP with respect to the delivery of scooters/mopeds and/or parts thereof to Buyers. Item/Items: the item(s) sold and to be delivered by PPP. Conditions: these general terms and conditions of PPP. Webshop: a company that sells parts and/or scooters/mopeds exclusively via the internet. Writing: next to actual writings, also messages sent by e-mail, fax or other electronic or analogue or digital method that have reached Buyer or PPP, as applicable.
Definitions and Concepts
