Sentence examples for basic properties required for from inspiring English sources

All the basic properties required for a similarity measure hold for the Hausdorff-like measure: begin{array}{*{20}l} {1.} hfill & {0 le Hs le 1} hfill & {closure} hfill {2.} hfill & {Hs_{AB} ge 0} hfill & {nonnegativity} hfill {3.} hfill & {Hs_{AA} = 1} hfill & {identity} hfill {4.} hfill & {Hs_{AB} = Hs_{BA} } hfill & {symmetry} hfill end{array}.

The smoothened histogram of these distances is compared with a random sample of 1 million pairwise distances, illustrating the basic property required for our heuristics – pairs that are of similar distances to the pivot are biased towards shorter distances.

These considerations lead to a basic property required of a model referred to as structural identifiability (Raue et al. 2009, 2011).

Several authors tried to explore whether basic topological information from a biological network, such as connectivity of the nodes, can be correlated with biological properties required for CVD onset and progression.

The resilient modulus (Mr) of granular materials is one of the basic mechanical property required for the mechanistic-empirical design of flexible pavement structures.

The basics of the magnetic properties required in MNPs for magnetic hyperthermia applications will be discussed later in detail.

Based on these basic information requirements, the functionalities and properties required of the system take shape.

We firstly recall some basic definitions and main results that we will use later about properties required of a process for a non-autonomous dynamical system in order to have a pullback attractor.

The EFT-1 mission tested basic functions required for a crewed mission to deep space.

Nor is property supervenience required for property realization in either of the above senses.

The basic underlying statistics required for applied microbiology are outlined.