What is the meaning of forcing in mathematics? What does __differentiable__ mean in math? What is a relation in general mathematics? What is a mathematical phrase? What is meant by algebraic expression? Explain with an example. What is algebraic reasoning? What does it mean?
What does __differentiable__ mean in math? What is the line drawn in Stewart's theorem? How is Pick's theorem used in real life? Describe the fundamental theorem of calculus. Give one example or application. What is spectral theorem and why is it useful?
What do curly brackets mean in math? What does an apostrophe mean in math sets? What does it mean for a function to be one to one linear algebra? How to define two inner products in one space? What does the ^ symbol mean in a math problem like 8x^3 - 4x? What is meant my squa...
What does thrice differentiable mean? If a function is thrice differentiable then it means thatthe functions derivatives exist up to third order and the higher order derivatives don't exist. If a function is differentiable, it need not be a constant valued. ...
What does __differentiable__ mean in math? What is the geometric interpretation of x = 0 in (i) R^1, (ii) R^2, and (iii) R^3? Is complex analysis proof based? What does 12! means in math? How are real numbers used to describe real-world situations? What is the purpose of ...
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 ...
To obtain (ii), we use the more general statement (known as the Schur-Ostrowski criterion) that (ii) is implied from (iii) if we replace by an arbitrary symmetric, continuously differentiable function. To establish this criterion, we induct on (this argument can be made independently of the...
• When the derivative of a function \(f\) exists at a point \({{x}_{0}}\), we say that the function is differentiable at \({{x}_{0}}\). Also, we can say that a function is differentiable at a REGION (a region is a set of points) if the function is differentiable at...
In my GR book they discuss things that are invariant, and I know from my math classes that invariant things are very useful. However, my intuition with...
If you want to grok Wald's views on math just look through his appendices; he lays it all out there. Save for his "abstract index" notation, his approach seems very standard to me, much like what I recall of Warner's "Foundations of Differentiable Manifolds", for instance.Aug...