An example of a function which is locally constant in an open dense set, everywhere differentiable but not constant
نویسندگان
چکیده
منابع مشابه
An example of a C 1 , 1 function , which is not a d . c . function
Let X = lp, p ∈ (2,+∞). We construct a function f : X → R which has Lipschitz Fréchet derivative on X but is not a d.c. function.
متن کاملBoolean function is constant or not ∗
We study the probability of making an error if, by querying an oracle a fixed number of times, we declare constant a randomly chosen n-bit Boolean function. We compare the classical and the quantum case, and we determine for how many oracle-queries k and for how many bits n one querying procedure is more efficient than the other.
متن کاملDense Locally Testable Codes Cannot Have Constant Rate and Distance
A q-query locally testable code (LTC) is an error correcting code that can be tested by a randomized algorithm that reads at most q symbols from the given word. An important question is whether there exist LTCs that have the c3 property: constant relative rate, constant relative distance, and that can be tested with a constant number of queries. Such codes are sometimes referred to as “asymptot...
متن کاملdevelopment and implementation of an optimized control strategy for induction machine in an electric vehicle
in the area of automotive engineering there is a tendency to more electrification of power train. in this work control of an induction machine for the application of electric vehicle is investigated. through the changing operating point of the machine, adapting the rotor magnetization current seems to be useful to increase the machines efficiency. in the literature there are many approaches wh...
15 صفحه اولLocally Constant Functions
Let X be a compact Hausdorff space and M a metric space. E0(X,M) is the set of f ∈ C(X,M) such that there is a dense set of points x ∈ X with f constant on some neighborhood of x. We describe some general classes of X for which E0(X,M) is all of C(X,M). These include βN\N, any nowhere separable LOTS, and any X such that forcing with the open subsets of X does not add reals. In the case thatM is...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annales Polonici Mathematici
سال: 1973
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap-28-2-195-199