Symbols is defined

Q U Q- U V and each defined function symbol is defined only once, and... 

General A lower case symbol is a scalar. An upper case symbol is a column vector. An upper case symbol with a superscript is a column vector formed by removing the column indicated by the superscript from the matrix with the same name. Underlined upper case symbols are matrices. If a symbol is defined as a vector then when underlined, it represents a diagonal matrix with the same elements as the vector. A matrix with a superscript is always a diagonal matrix. 

Above, the time-average denoted by the symbol < >< is defined as ... 

Here the symbol is defined to denote the operation of a convolution of two functions. The convolution equation (4.2.1) also describes the response y t) of a linear time-invariant system to the input signal x(t) (Fig. 4.2.1). 

Table 6. The syrntnetrical matrices of the unit tensorial operators 2) and 23 with respect to the d basis (only elements on and above the diagonal are given). The unit tensorial operator 23, whose matrix elements are the 3 l symbols, is defined by its reduced matrix [Ref. (15) p. 243] so that in this case...

All quantities are defined in their generic dimensions (length, time, mass or mole, energy, etc.). Symbols that appear in only one section are not listed. Numbers in parentheses indicate the equations where the symbol is defined or appears for the... 

An attempt has been made by the editors to use a unified nomenclature throughout the handbook. Given the breadth of the technical coverage, some exceptions will be found. However, with few exceptions, one symbol has only one meaning within any given section. Each symbol is defined at the end of each section of the handbook. Both SI and English units are given for each symbol in the nomenclature lists. 

In the following lists, parentheses hold equation numbers, table numbers, figure numbers, or problem numbers where the symbol is defined or first introduced. 

The set made by the three p-type functions in a Gaussian type orbital (GTO) framework is sufQciently simple to be used as an example but at the same time provides a yet unexplored context, which can show how QS techniques can handle quantum system states, even degenerate ones. The set of p-type Gaussian functions can be collected into a vector, which can be associated in turn to three degenerate model wavefunctions Ip) = qr exp(-alrP) where q is a normalization factor, r = (x,y,z), and a is an arbitrary positive-definite parameter. The set of attached DF can be also written as a vector Id) = q (r r) exp (-2alrP), where the position vector product symbol is defined employing the inward product (r r) = Thus, the components... 

This symbol is defined for use over the existing relation types. Choice can be used to denote possible alternatives in satisfying a relationship. It can represent a 1-of-n and m-of-n selection. 

The symbol is defined in the detail of the SPIF part that is included in Figure 8.4. In physical terms. Equation 8.15 indicates that the meridional stress will increase with r as a result of friction at the tool-sheet contact interface. 

Specify the properties to be generated. By clicking on the arrow pointing downward in the Physical properties box, a list will appear. Each symbol is defined at the bottom of the screen. For this example, density, heat capacity, and vapor pressure are chosen for a pure component. You may want to type in symbols for the property you want such as RHO for density. You can also do a search for properties by clicking on the search button. A phase must be specified. To do this click... 

Weave patterns can be displayed with weave symbols. These are codes composed of repeated patterns of weave, number of warp threads up, number of warp threads down, number of threads, and shift counter. The international standard for the construction of the weave symbol is defined in DIN ISO 9354. The first number describes the basic weave pattern, where 1 stands for plain weave, 2 for twill, and 3 for satin weave (Fig. 4.5). 

---