To reflect in a unit circle we use a transform of: n0 - ½n∞ where: n0 is the point at the origin. n∞ is the point at infinity. To verify this I have used a free program called Axiom (details here) to do the calculations: pin := multivector([0,-1,(u*u+v*v)/2,0,...
Example of defining TeX macros - Defining macros to autoload the extensions in - which they are implemented - - Example of waiting until all the - math is typeset before displaying the page (avoids "flicker") - - Showing an equation one step at a time - Display an equation typed in by...
Macro 3 MathTool 12 Number Tool 4 Output 2 Parse Another Template 3 Resource Loader 2 Standalone 2 String 3 Variables 8 Velocity Event 2 Velocity Input Encoding 1 Velocity Log 4 Velocity Properties 2 Velocity Range 4 XML 2 Ant / Big
Why is the distributive property important in solving equations? Why is the distributive property an axiom? Verify using an example that a+(b-c)=(a-b)+c is not true. Explain your reasoning both numerically and by using the definition of the dot product. Iden...
Which of these axioms is analogous to Playfair's Postulate? How is this axiom different from Euclid's parallel postulate? Is the Euclidean plane finite, or infinite? Does the Euclidean plane satisfy the affine axioms? Define inductive reasoning in ...
The size, velocity, and heterogeneity of Big Data outclasses conventional data management tools and requires data and metadata to be fully machine-actionable (i.e., eScience-compliant) and thus findable, accessible, interoperable, and reusable (FAIR). Th
Based on that, we further calculated the assessment value of the air quality of different cities in the BTH region by using the Collaborative Filtering Backward Cloud Model to construct differentiated weights of different indicators. With help of the Back Propagation (BP) Neutral Network, we ...