Compact coding

Markush structures rcprcHL-uts compound families - widespread in patents nianual in/ontput convertible into otlicr representations high number of compounds less compact code ambiguous difficult to extract individual compounds... 

Rather than being defined by lengthy explicit listings of their local action, rules are instead conventionally identified by a compact code. If the bottom eight binary digits of the r = 1 mod 2 rule in the example cited above are interpreted as the binary representation of a decimal number, then the code, i [ 2], is given by that base-10 equivalent ... 

Such a compact coding is possible because only one basic quantity and only one impulse feature in the system and also because only one energy-per-entity works as common gate variable. In other words, a mix of serial and parallel mountings would require as many units as the number of common... 

The N-tuple codes are brief—their length is given by V, the number of vertices in a tree. Therefore, they belong to the linear compact codes (Randic, 1986 Randid et al., 1988 Nikolic and Trinajstid, 1990 Trinajstid et al 1991), so named because they use a limited number of digits for linearly encoding a given molecular structure. 

M. Randid, S. Nikolid, and N. Trinajstid, Compact codes On nomenclature of acyclic chemical compounds, J. Chem. Inf. Comput. Sci. 35 (1995) 357-365. 

Full control of design allowed us to utilize the unique features of the RTX2010 processor. The whole onboard software was written in Forth, the native language of the processor. Forth results a rather compact code which is easy to modify during runtime by patching. 

The first line notations were conceived before the advent of computers. Soon it was realized that the compactness of such a notation was well suited to be handled by computers, because file storage space was expensive at that time. The heyday of line notations were between I960 and 1970, A chemist, trained in this line notation. could enter the code of large molecules faster than with a structure-editing program,... 

The great advantage of WLN codes is their compactness. Both compactness and unambiguity are achieved only by a complex set of rules, which make the notation difficult to code and error-prone. Since much information had been stored in the WLN code (functional groups, fragments, etc.), much effort was spent in the devel-... 

The compact textual coding requires no graphical input and additionally permits a fast transmission. These are important advantages of using SMILES in chemical applications via the Internet and in online services. SMILES is also used for the input of structures in the Daylight Toolkit [22]. 

Fingerprints structural keys identify a molecule - code is highly compact represented in bits ambiguous not convertible to other representations dependent on the fragment library... 

A SMILES code [22], MDL Molfile [50], or JME s own compact format (one-line representation of a molecule or reaction including the 2D coordinates) of created molecules may be generated. The created SMILES is independent of the way the molecule was drawn (unique SMILES see Section 2.3.3). Extensions to JME developed in cooperation with H. Rzepa and P. Murray-Rust also allow output of molecules in the CML format [60]. 

An alternative way to represent molecules is to use a linear notation. A linear notation uses alphanumeric characters to code the molecular structure. These have the advantage of being much more compact than the connection table and so can be particularly useful for transmif-ting information about large numbers of molecules. The most famous of the early line notations is the Wiswesser line notation [Wiswesser 1954] the-SMILES notation is a more recent example that is increasingly popular [Weininger 1988]. To construct the Wiswesser... 

Consumer Products. Laser-based products have emerged from the laboratories and become familiar products used by many millions of people in everyday circumstances. Examples include the supermarket scaimer, the laser printer, and the compact disk. The supermarket scanner has become a familiar fixture at the point of sale in stores. The beam from a laser is scaimed across the bar-code marking that identifies a product, and the pattern of varying reflected light intensity is detected and interpreted by a computer to identify the product. Then the information is printed on the sales sHp. The use of the scanner can speed checkout from places like supermarkets. The scanners have usually been helium—neon lasers, but visible semiconductor lasers may take an impact in this appHcation. 

The relevance of photonics technology is best measured by its omnipresence. Semiconductor lasers, for example, are found in compact disk players, CD-ROM drives, and bar code scaimers, as well as in data communication systems such as telephone systems. Compound semiconductor-based LEDs utilized in multicolor displays, automobile indicators, and most recendy in traffic lights represent an even bigger market, with approximately 1 biUion in aimual sales. The trend to faster and smaller systems with lower power requirements and lower loss has led toward the development of optical communication and computing systems and thus rapid technological advancement in photonics systems is expected for the future. In this section, compound semiconductor photonics technology is reviewed with a focus on three primary photonic devices LEDs, laser diodes, and detectors. Overviews of other important compound semiconductor-based photonic devices can be found in References 75—78. 

This code has 128 characters. Like Code 39, Code 128 offers variable-length symbols. But at the same time. Code 128 is more compact. 

Cutsets are the least compact representation of a complex plant, they may be so numerous that they are unmanageable which obscures significant risk contributors. To address this hydra-like expansion, cutsets may be truncated according to order, probability, or risk. Truncation by order is an approximation to truncation by probability as if each component has about the same probability of failure (a very gross assumption). Truncation by order and by probability are featured in most codes that calculate cutsets. A better truncation method is by risk, as provided in ALLCUTS in as much as a low probability cutoff may delete a high consequence, significant risk contributor. Truncation by risk is difficult because the consequence of a sequence may not be known when the... 

Initially, we develop Matlab code and Excel spreadsheets for relatively simple systems that have explicit analytical solutions. The main thrust of this chapter is the development of a toolbox of methods for modelling equilibrium and kinetic systems of any complexity. The computations are all iterative processes where, starting from initial guesses, the algorithms converge toward the correct solutions. Computations of this nature are beyond the limits of straightforward Excel calculations. Matlab, on the other hand, is ideally suited for these tasks, as most of them can be formulated as matrix operations. Many readers will be surprised at the simplicity and compactness of well-written Matlab functions that resolve equilibrium systems of any complexity. 

Firstly, we need a good notation and reorganisation of the system of equations (3.23) and (3.31). There are several paths that can be taken in order to arrive at a more manageable set of equations. The one chosen here is natural in that it follows the structure of the problem and allows the writing of compact and generally applicable computer code. While the core of the code, developed later, is general, we derive it using our system of 3 components X, Y and Z. 

It is worth noting that this very compact function NewtonRaphson.m allows the computational resolution of any equilibrium situation of any complexity. There are no hard-coded limitations regarding the number of components or the number or species formed. There are, however, natural limits to both these numbers due to the limited numerical accuracy of the computations (eg matrix inversion). 

These structural characteristics can be easily represented by using specific codes and symbols, which can be very useful for a compact presentation and comparison of the structural features of several structures. Many different notations have been devised to describe the stacking pattern (for a summary see Parthe 1964, Pearson 1972). A few of them will be presented here. 

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