What are some mathematical principles involving irrational numbers that are thought to underlie aesthetic beauty or proportion?

68-IC-09 Compare tradeoffs between allowing information to be public and keeping ... 2 Use rational approximations of irrational numbers to compare the size of. A number of decisions did not follow this pattern of rational inferences about other's signals. In period 8, for example, the formation of a cascade was ... May 20, 2015 ... differences in focus and the information provided. E04BC2 ... 1 Distinguish between rational and irrational numbers using their properties. ... difference between rational and irrational numbers and locate each on a number line. ... of complex literary and informational texts. The standards require ... The table illustrates the difference between rational numbers and irrational numbers. ... To read more such informative articles on other concepts, do ... There should be a direct relationship between the information in this section and the ... of whole numbers, fractions and decimals). • Math concepts and ... of informational text; analyze texts to draw conclusions and ... rational numbers; demonstrate a general understanding of rational and irrational numbers;. SMP 6: Students attend to precision by using rational approximations of irrational numbers to compare and locate them on a number line. SMP 7: Students will ... In contrast with the homogeneous information case, the uninformed agent does ... In the latter, agents must have rational expectations about the link between the ... Alistair MacFarlane considers the differences between these crucial concepts, and the implications for how we think about computers.