Results 101 to 110 of about 9,054,635 (310)
Bolzano's continuous but nowhere differentiable function
Continuous function, no differentiable functions, limitBolzano discovered this continuous but nowhere differentiable function before 1831, but these investigations were not published until 1930. Weierstrass found an analogous function in 1875.
Hafner, Izidor
core +1 more source
A function which is arc-analytic but not continuous
We construct an arc-analytic function (i.e., a function analytic on every real analytic arc) which is not continuous, as well as a continuous arc-analytic function which is not subanalytic.
E. Bierstone +2 more
core +1 more source
Bolzano's continuous but nowhere differentiable function
Continuous function, no differentiable functions, limitBolzano discovered this continuous but nowhere differentiable function before 1831, but these investigations were not published until 1930. Weierstrass found an analogous function in 1875.
Hafner, Izidor
core +1 more source
Applications of δ Continuous Function
This paper introduces a new class of functions, termed δ-continuous functions, and investigates their fundamental characterizations and properties. Particular attention is given to their connections with other well-known classes of functions in topology
Zahraa Mohsen, Ali Khalaf Hussain
doaj +1 more source
Continuity of monotone functions [PDF]
The author has obtained the following results for real functions on the closed unit interval in the style of \textit{E. A. Bishop's} ''Foundations of constructive analysis'' (1967): (Theorem 1) For nondecreasing f the following are equivalent, pointwise continuity, uniform continuity, f is antidecreasing \((f(x)
openaire +3 more sources
Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system
Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
wiley +1 more source
Plasma membranes contain dynamic nanoscale domains that organize lipids and receptors. Because viruses operate at similar scales, this architecture shapes early infection steps, including attachment, receptor engagement, and entry. Using influenza A virus and HIV‐1 as examples, we highlight how receptor nanoclusters, multivalent glycan interactions ...
Jan Schlegel, Christian Sieben
wiley +1 more source
A difference between continuous and absolutely continuous norms in Banach function spaces [PDF]
summary:On examples we show a difference between a continuous and absolutely continuous norm in Banach function ...
Nekvinda, Aleš +3 more
core +1 more source
تمثیل الدوال القیاسیة المستمرة بواسطة مجهر
، و 12°G"> الشبح لبیانها 12G"> ، نفرض انه توجد نقطة قیاسیة 12X0∈R"> وفترة 12I0"> حول 12X0"> بحیث أن : لکل 12 X∈I0"> ، 12X,FX"> محدودة یؤدی إلى 12X≃X0"> . (i) بالإضافة إلى ذلک إذا وجدت نقطتان محدودتان 12X1"> ، 12X2"> فی 12I0">
Tahir H. Ismail, Hind Y. Saleh
doaj +1 more source
Lipschitz functions of continuous functions [PDF]
Marx, Imanuel, Piranian, George
openaire +3 more sources

