#EQUATION OF 4D SPHERE PDF#

Is that it traces out every possible right triangle with a hypotenuseĮqual to the length of the radius. Looking at Figure 1, another way to think of a circle Prerequisites. A knowledge of the Pythagorean theorem and trigonometricįunctions is rquired to understand the material.

#EQUATION OF 4D SPHERE PDF#

HTML5 and PDF from the same source, I decided to write aīetter-developed, but doubtless imperfect, presentation of the To write about for an experiment in producing math content in (not even a single picture) and disorganized presentation wouldĬonfuse a new student of the subject. Though I understood the material, I thought the lack of exposition Location of two points in relation to the hypersurface. Parametric equations defining an unspecified hypersurface andĪsked the reader to unparameterize the equations and determine the Or two later, for no apparent reason, the book presented a set of Superscript notation instead of confusing the reader with whatĪppears to be exponentiation in the subsequent exercises. Perhaps the authors could have postponed the introduction of Later.” Why not explain the reasons right there? Or Variables using superscripts instead of subscripts, with noĮxplanation other than “ for reasons which will appear The first page of the book in question introduced a set of Learning process much more difficult than it has to be. Learning the material for the first time, they usually make the These books can serve as useful reference sources. Suffered from the poor organization and opaque writing thatĬharacterizes many textbooks. Mathematics of general relativity and the foundations of quantumĬomputing (same math, different domains). Years ago, I opened a book to refresh my knowledge of the

Equation of 4d sphere