doi:10.4169/college.math.j.43.1.058SummaryWe present mentally efficient algorithms for mentally squaring and cubing 2-digit and 3-digit numbers and for finding cube roots of numbers with 2-digit or 3-digit answers.Additional informationAuthor informationArthur T. BenjaminArthur T. Benjamin (...
The fallacy of the squaring of the circle has been in thinking of natural or rational numbers as definite, and thinking of irrational or transcendental numbers as indefinite. What I mean by this is that it is falsely assumed that a line on a piece of paper with the length 1 has a defini...
It follows that the upper bound in (10) has essentially the best possible exponent. 4. p-Adic iteration We now consider an approximate squaring map defined on the p-adic numbers analogous to the approximate squaring map on , and study the question of whether some iterate will eventually...
there are negative integers, and yet you can't hold -3 pebbles in your hand; extending the number system in this direction leads to the imaginary numbers, which raise a different kind of question, so I will put that aside here.
[This page does not deal with graphs of complex numbers.]Visit the Interactive Sketch Pad Material On The Square Root Function sqrt -- 2 square root functions defined by easy-edit parameters Roots and Exponents ex. the cube-root-of-two-to-the-sixth-power is 3(26) is 26/3, is 22,...
This is stated by Gregory in theExercitationes, but also confirmed by Collins’ account: “upon diligent search there hath not been any of Hugenius …books to be found in any Stationers shop in London for 12. years past, and probably they are as scarce in Italy; which perchance might ind...
Build a polynomial that has as its roots, all of the numbers in the supplied array. If you want multiplicity of roots, include that number in the array multiple times. From the base-m expansion of a number Given a large number and a radix (base), call it m, a polynomial will be ge...
The description also links to the Peirce quincuncial projection, which maps a sphere to a square, but the math also goes above my head (complex numbers arithmetic and again, elliptic integrals). At this point I realized that what I was trying to do was not trivial. Attempt #3 : ...
Finally, a word about deductive and inductive reasoning, ordinal and cardinal numbers, physical measurements supporting math and science proofs, and so-called “circular logic.” During the scientific and math process, both deductive and inductive reasoning is used to reach a logical conclusion. ...
Performing athematical calculations especially multiplication, a computer spends a considerable amount of its processing time, an improvement in the speed of a math coprocessor for performing multip...Kabirajsethi "An Improved Squaring Circuit for Binary Numbers",Department of Electronics and Teleconnuni...