Maths Shortcuts 4
... double a zero off to the left of our 3852 (Trachtenberg wrote the zero out there: 03852) and add half the neighbor (0+1=1), and add the carry (+1=2). And we have our answer. Notice that the carries are smaller than they were in normal multiplication by 7. The above rule is not simple, but once maste ...
... double a zero off to the left of our 3852 (Trachtenberg wrote the zero out there: 03852) and add half the neighbor (0+1=1), and add the carry (+1=2). And we have our answer. Notice that the carries are smaller than they were in normal multiplication by 7. The above rule is not simple, but once maste ...
My High School Math Note Book, Vol. 1
... I kept (and still do today) small notebooks where I collected not only mathematical but any idea I read in various domains. These two volumes reflect my 1973-1974 high school studies in mathematics. Besides the textbooks I added information I collected from various mathematical books of solved probl ...
... I kept (and still do today) small notebooks where I collected not only mathematical but any idea I read in various domains. These two volumes reflect my 1973-1974 high school studies in mathematics. Besides the textbooks I added information I collected from various mathematical books of solved probl ...
4.4 Powerpoint
... Carbon dioxide in the atmosphere traps heat from the sun. The additional solar radiation trapped by carbon dioxide is called radiative forcing. It is measured in watts per square ...
... Carbon dioxide in the atmosphere traps heat from the sun. The additional solar radiation trapped by carbon dioxide is called radiative forcing. It is measured in watts per square ...
Version 0.3
... This is a book about algorithms for performing arithmetic, and their implementation on modern computers. We are concerned with software more than hardware — we do not cover computer architecture or the design of computer hardware since good books are already available on these topics. Instead we foc ...
... This is a book about algorithms for performing arithmetic, and their implementation on modern computers. We are concerned with software more than hardware — we do not cover computer architecture or the design of computer hardware since good books are already available on these topics. Instead we foc ...
Python Programming: An Introduction to Computer Science
... But our 100! is much larger than this. How does it work? Python Programming, 2/e ...
... But our 100! is much larger than this. How does it work? Python Programming, 2/e ...
Approximations of π
Approximations for the mathematical constant pi (π) in the history of mathematics reached an accuracy within 0.04% of the true value before the beginning of the Common Era (Archimedes). In Chinese mathematics, this was improved to approximations correct to what corresponds to about seven decimal digits by the 5th century.Further progress was made only from the 15th century (Jamshīd al-Kāshī), and early modern mathematicians reached an accuracy of 35 digits by the 18th century (Ludolph van Ceulen), and 126 digits by the 19th century (Jurij Vega), surpassing the accuracy required for any conceivable application outside of pure mathematics.The record of manual approximation of π is held by William Shanks, who calculated 527 digits correctly in the years preceding 1873. Since the mid 20th century, approximation of π has been the task of electronic digital computers; the current record (as of May 2015) is at 13.3 trillion digits, calculated in October 2014.