Similitude and Inversion

Similitude And Theory Of Models

The concepts of Similitude, Dimensional Analysis and Theory of Models are presented and used in this chapter. They constitute important theoretical tools that allow scientists from many different areas to go further on their studies prior to actual experiments or using small scale models. The applications discussed herein are focused on thermal sciences (Heat Transfer and Fluid Mechanics). Usin...

Remembering Similitude Terms in CBR

In concept learning, inductive techniques perform a global approximation to the target concept. Instead, lazy learning techniques use local approximations to form an implicit global approximation of the target concept. In this paper we present C-LID, a lazy learning technique that uses LID for generating local approximations to the target concept. LID generates local approximations in the form ...

Similitude in the cardiovascular system of mammals.

Scaling laws governing the cardiovascular system of mammals are discussed in the present review in a manner emphasizing their experimental basis. Specific attention is given to the well-known experimental laws requiring the rate of oxygen consumption and the heart rate of mammals to vary with body mass raised to the powers 3/4 and -1/4, respectively. This review involves reconsideration and fur...

A note on orthogonal similitude groups

Let V be a vector space over the field F such that charðF Þ 61⁄4 2, and let V have a symmetric nondegenerate bilinear form. Let GOðV Þ be the orthogonal similitude group for this symmetric form, with similitude character . We prove that if g 2 GOðV Þ with ðgÞ 1⁄4 , then g 1⁄4 t1t2 where t1 is an orthogonal involution, and t2 is such that t 2 2 1⁄4 I and ðt2Þ 1⁄4 . As an application, we obtain a...

Functional Prototyping Through Advanced Similitude Techniques