Line notations are linear representations of chemical structures that encode the connection table and (usually) the stereochemistry of a molecule as a line of text [1].
A broad class of group representations are linear representations, i.e. the group is acting on a vector space, such as the three-dimensional Euclidean space R3.
Plots were aligned with linear representations of the matching genome to signify base composition trends for protein and tRNA genes encoded on the "+" strand, tRNA genes encoded on the "-" strand, and rRNA genes.
Graphs and equations, for instance: He gets the idea, fine — one is a linear representation of the other — but making those conversions is often a headache.
A SMILES string is a linear representation of a molecule created from a traversal of the molecular graph.
Reciprocal of doubling time is the linear representation of tumor growth rate.
Mean red blood cell velocity was measured using an optical Doppler velocimeter (Microcirculation Research Institute, Texas A&M University, College Station, TX, USA), which uses a pair of photodiodes to generate a voltage from an image of moving red cells that is a linear representation of red cell velocity [ 14].
More precisely, we are going to study natural linear representations of self-similar groups over finite fields, and show that matrices associated with elements of a group generated by a finite automaton are automatic.
While line notations typically do not allow the incorporation of additional information beyond the connection table and its associated chemistry (with the notable exception of SYBYL Line Notation [2, 3]), even where the underlying data is stored in a 2D or 3D file format as in several web databases (for example, PubChem [4]), linear representations of the data are usually provided for convenience.
The analysis performed allows the influence of two relevant aspects to be separated: the linear representation of the source (engine and manifold) and the linear description of the exhaust system itself.
