MATH 202 B - Problem Set 10
نویسنده
چکیده
(10.1) Let k ∈ N, and let X = C k ([0, 1] d) to be the set of all functions f ∈ C 0 ([0, 1] d) such that for all α ∈ ∆ k , f (α) = ∂f ∂x α 1 1 ...∂x α d d exists and is continuous on (0, 1) d , and extends continuously on [0, 1] d. Here
منابع مشابه
FUZZY BOUNDED SETS AND TOTALLY FUZZY BOUNDED SETS IN I-TOPOLOGICAL VECTOR SPACES
In this paper, a new definition of fuzzy bounded sets and totallyfuzzy bounded sets is introduced and properties of such sets are studied. Thena relation between totally fuzzy bounded sets and N-compactness is discussed.Finally, a geometric characterization for fuzzy totally bounded sets in I- topologicalvector spaces is derived.
متن کاملThe Effects of Learning Self-Regulated Learning Strategies on High School Students\' Math Problem-Solving Skills
The Effects of Learning Self-Regulated Learning Strategies on High School Students' Math Problem-Solving Skills B. Shaalchi, Ph.D. Y. Rezaapoor J. Baabaapoor Kheyrodin, Ph.D. M. Alizaad Sardroodi F. Abdollaahi To see the effects of learning self-regulated learning strategies on math problem-solving skills among high school students, a sample of 271 randomly selected h...
متن کاملThe Extent of Using Real Problems and Emphasizing Modelling in the 10th Grade Math Textbook
Modelling is emphasized heavily in the national math curriculum, yet the extent to which this concept is covered in the math textbooks is, while of great importance, unknown. To discover the extent to which this issue, and real problems in general, are covered in the 10th grade math textbooks, the content of the textbook for the ‘theoretical’ (“nazari”) branch was analyzed. In doing so, the vie...
متن کاملMATH 202 A - Problem Set 4
(4.1) Let E,F be nonempty subsets of R, E is compact and F is closed. Then there exist (e, f) ∈ E ×F such that d(E,F ) = d(e, f). proof Let α = d(E,F ) = inf(x,y)∈E×F d(x, y) be the distance between the two sets. Let > 0, and let x0 be a given element of E. Since E is compact, it is in particular bounded, and there exists r > 0 such that E ⊂ B(r, x0). Now consider the closed ball B(r + α+ , x0)...
متن کامل