Let [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] be p lines in a combinational circuit C implementing

scalar function f and let note with [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] local functions of these p lines.

If the expression to be integrated is an exact differential, then it is possible to define a

scalar function of the goods x and y of the form U = U(x, y), which can then be interpreted as the 'utilities' of those goods.

This relationship is believed to correlate with the Riemann-Zeta function, a complex

scalar function similar to the complex-scalar wave function of Schrodinger.

The

scalar functions, as same lines of altitude and density are level lines [Math Encyclopedia, 1980]:

The possible current patterns are restricted by the requirement that the GL

scalar function [psi] must be single-valued and infers a current flow of density [?

The text includes exercises and appended information on syntax and

scalar functions supported by SQL.

The new

scalar functions allow analysts to access data and manipulate or transform it in ways that they couldn't conveniently do before.

In-database analytics relies on moving analytics to the database wherein advanced quantitative functions are embedded inside the database as

scalar functions or aggregates.

Other new features include support for ODBC/JDBC escape sequences, such as outer joins,

scalar functions, and date, time, and timestamp literals; support for retrieving connection information from Oracle's TNSNames file and the Sybase Interfaces file; and support for Oracle 9iR2.

To enable the migration of data stored in Oracle proprietary data types and applications that rely on Oracle proprietary

scalar functions, the Shift2Ingres team took advantage of the Ingres Object Management Extension (OME) interface -- which allows user-written extensions to be added to the Ingres r3 database server.

Enhanced SQL processing including statement caching for streamlined performance, additional

scalar functions for compliance with evolving open standards, and "transaction sharing" to facilitate maintenance of non-SQL applications.