How Long to Read Optimal Quantification and Symmetry

How Long Does it Take to Read Optimal Quantification and Symmetry?

It takes the average reader 3 hours and 26 minutes to read Optimal Quantification and Symmetry by Shizuhiko Nishisato

Assuming a reading speed of 250 words per minute. Learn more

Description

This book offers a unique new look at the familiar quantification theory from the point of view of mathematical symmetry and spatial symmetry. Symmetry exists in many aspects of our life—for instance, in the arts and biology as an ingredient of beauty and equilibrium, and more importantly, for data analysis as an indispensable representation of functional optimality. This unique focus on symmetry clarifies the objectives of quantification theory and the demarcation of quantification space, something that has never caught the attention of researchers. Mathematical symmetry is well known, as can be inferred from Hirschfeld’s simultaneous linear regressions, but spatial symmetry has not been discussed before, except for what one may infer from Nishisato’s dual scaling. The focus on symmetry here clarifies the demarcation of quantification analysis and makes it easier to understand such a perennial problem as that of joint graphical display in quantification theory. The new framework will help advance the frontier of further developments of quantification theory. Many numerical examples are included to clarify the details of quantification theory, with a focus on symmetry as its operational principle. In this way, the book is useful not only for graduate students but also for researchers in diverse areas of data analysis.

How long is Optimal Quantification and Symmetry?

Optimal Quantification and Symmetry by Shizuhiko Nishisato is 199 pages long, and a total of 51,541 words.

This makes it 67% the length of the average book. It also has 63% more words than the average book.

How Long Does it Take to Read Optimal Quantification and Symmetry Aloud?

The average oral reading speed is 183 words per minute. This means it takes 4 hours and 41 minutes to read Optimal Quantification and Symmetry aloud.

What Reading Level is Optimal Quantification and Symmetry?

Optimal Quantification and Symmetry is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Optimal Quantification and Symmetry?

Optimal Quantification and Symmetry by Shizuhiko Nishisato is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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