Sentence examples for calculus together from inspiring English sources
Credit for the independent discovery, about 1670, of the fundamental theorem of calculus together with the invention of techniques to apply this theorem goes jointly to Gottfried Wilhelm Leibniz and Isaac Newton.
The proof is based on Malliavin calculus together with new probabilistic lower bounds on the solution x.
This interest is in part due to the useful applications of the fractional calculus together with its interesting and often nontrivial mathematical theory.
More importantly, little is now known about the systematic analyses on the issue of stability of numerical methods regarding fractional calculus, together with the solution techniques for high-dimensional fractional reaction-diffusion equations, most especially for nonlinear equations.
First of all, for a general overview of the discrete fractional calculus, together with substantial background on the integer-order difference calculus, we direct the interested reader to the textbook by Goodrich and Peterson [3].
Maths classes tend to be more sophisticated, with lessons that show the often fascinating ways that geometry, trigonometry and calculus work together in the real world.
The substitution theorem is proved using Malliavin calculus techniques together with new estimates on the underlying stochastic semiflow.
Art and calculus are smashed together (e.g., Calculious), science emerges through applied Humanities, robotics competitions focus team energy, and internships introduce adult world constraints and resources.
Later, Kamen told me, "that question, 'what is the local maxima of a function x to the -x' brings together calculus, geometry, algebra and the body of math in a wonderful way.
In Section 2, we introduce some notations, definitions of fractional calculus and multivalued maps, together with some basic lemmas to prove our main results.
The rival teams appear to have been driven together by a calculus that cooperation outweighed the attractions of laying claim to one of science's greatest prizes independently, especially now that each has achieved successes that vindicate its own approach.
