What does differentiable mean in math? Differentiability: For a function {eq}y=f(x) {/eq}, we can define the limit definition of derivative as follows: {eq}f'(x)=\lim_{h\rightarrow 0}\dfrac{f(x+h)-f(x)}{h} {/eq} A function is said to be differentiable at a point if ...
What is meant by the term Variable in the algebra? Explain giving an example. What is a translation in math terms? What does ^ stand for in math? What is w.r.t in math? What is algebraic reasoning? What does it mean? What does symbol "/" means in math?
What does interior mean in math? Vocabulary in Math: Vocabulary terms in mathematics can be tricky. The terms and words used in mathematics can sometimes have a different meaning than those same terms and words in everyday language, but they can also sometimes mean the same thing. Thus, bein...
What does Rolles theorem say? Rolle's theorem, in analysis, special case of the mean-value theorem of differential calculus. Rolle's theorem states that if a function f is continuous on the closed interval [a, b] and differentiable on the open interval (a, b) such that f(a) = f(b...
Alarmingly enough, there seem to be many more efforts devoted to develop AIs and robots seamlessly indifferentiable from real humans than to analyze how to help humans deal adequately with them. But waiting to act until societies perceive the effects instead of anticipating them through serious and...
As astounding as it may still seem to many, Bell’s theorems do not prove nonlocality. Non separable multipartite objects exist classically, meaning w
What does uniformly mean in real analysis? Real Analysis: The word "real" is usually used in mathematics to describe things that can be seen and touched. A practical example of this would be the length of a rectangle. The length and width of a rectangle can be measured and represented by...
Also, a transport equation (PDE) will generate the translation very well for differentiable functions whose Taylor series diverges at some points. Stephen Tashi said: Is there a treatment of "infinitesimal operators" that is rigorous from the epsilon-delta point of view? In looking for material...
As observed by Semmes, it follows from the Carnot group differentiation theory of Pansu that there is no bilipschitz map from to any Euclidean space or even to , since such a map must be differentiable almost everywhere in the sense of Carnot groups, which in particular shows that the ...
On S, the set of real valued functions on R^n differentiable around the origin, we have the operator d(.)(0) that takes a function to a cotangent vector at the origin. Additive constants don't matter, so we can strip off the zeroeth order terms, leaving us with the subset I of ...