Sentence examples for generalized operations from inspiring English sources

New generalized operations are defined.

Fig. 3 Gap between the generalized operations and the program code.

A finite field is a set of numbers with four generalized operations.

The field of abstract algebra is centrally concerned with such generalized operations, and they also appear in set theory and category theory.

Following Bolzano, we will here use this generalized operation of simultaneous replacement (or variation).

The formulae (5 - 8) are also true for the generalized soft operations ⋃ ˜ and ⋂ ˜.

This paper presents a generalized process simulation and optimization strategy for 2 1/2 axis milling operations to increase Material Removal Rate (MRR) while avoiding machining errors.

To improve the execution of the skill after generalization, we combine the proposed approach with an adaptation method, thus enabling the refinement of the generalized assembly operation.

The most important property is that the parameters in the hidden layers can be automatically determined and a simple generalized inverse operation can be used to obtain the output weight.

The ELM algorithm transforms the learning problem into a simple linear system; that is, the output weights of ELM can be analytically determined through a generalized inverse operation of the hidden layer weight matrices.

In actual proof-theoretic practice, as well as explicitly in (Hilbert and Bernays, 1934; Bernays, 1930), these basic operations are generalized to operations defined by recursion, paradigmatically, primitive recursion, e.g., multiplication and exponentiation (see Parsons 1998 for a discussion of philosophical difficulties in relation to exponentiation).