Results 181 to 190 of about 3,469,001 (222)
Versatile vector tools for efficient protein screening across multiple expression systems
A unified vector toolkit enables rapid protein expression screening across E. coli, insect, and mammalian cells. A single primer pair amplifies the target gene, which is inserted into any vector via a standardized interface. This streamlined workflow eliminates repeated cloning steps, accelerating the identification of optimal expression conditions for
Zhimin Zhu +5 more
wiley +1 more source
UiO‐66(Zr) metal–organic frameworks are chemically stable, biocompatible, and highly tunable nanomaterials. Their modular structure enables controlled drug delivery, multimodal bioimaging, and light‐activated photodynamic therapy, supporting integrated diagnostic and therapeutic (theranostic) applications in cancer and biomedical research.
Veronika Huntošová +2 more
wiley +1 more source
Directed evolution of enzymes at the crossroads of tradition and innovation
An iterative cycle of data‐driven enzyme optimization comprising four stages: genetic diversification of a template enzyme, expression of protein variants, high‐throughput evaluation, and machine‐learning‐guided redesign of the next variant library.
Maria Tomkova +2 more
wiley +1 more source
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2021
Let \(\mathbb{R}\) denote the real line, and let \(E\) be the Banach space of bounded real-valued functions with the norm \(|f|=\text{ess sup}\{|f(x)|, x\in\mathbb{R}\}\). \(L\) denotes the set of locally integrable functions. For \(a>0\), the transform \(T_a(f)\) is defined by \[ T_a(f)(x)= (1/a) \int^{x+a}_x f(t)dt,\quad a>0,\quad T_0(f)(x)= f(x). \]
Das, G., Nanda, S.
openaire +2 more sources
Let \(\mathbb{R}\) denote the real line, and let \(E\) be the Banach space of bounded real-valued functions with the norm \(|f|=\text{ess sup}\{|f(x)|, x\in\mathbb{R}\}\). \(L\) denotes the set of locally integrable functions. For \(a>0\), the transform \(T_a(f)\) is defined by \[ T_a(f)(x)= (1/a) \int^{x+a}_x f(t)dt,\quad a>0,\quad T_0(f)(x)= f(x). \]
Das, G., Nanda, S.
openaire +2 more sources
2009
There are several reasonable definitions for the limit of a sequence of functions. Clearly the entries of the sequence should approximate the limit function f to greater and greater accuracy in some sense. But there are different ways of measuring the accuracy of an approximation, depending on the problem.
Kenneth R. Davidson, Allan P. Donsig
+4 more sources
There are several reasonable definitions for the limit of a sequence of functions. Clearly the entries of the sequence should approximate the limit function f to greater and greater accuracy in some sense. But there are different ways of measuring the accuracy of an approximation, depending on the problem.
Kenneth R. Davidson, Allan P. Donsig
+4 more sources
Limits of Liouvillian Functions
Proceedings of the London Mathematical Society, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
2015
The concept of a limit of a function is introduced and theorems proved which assist in the calculation of such limits where they exist. The concept is then modified to give one-sided limits and infinite limits.
Charles H. C. Little +2 more
+4 more sources
The concept of a limit of a function is introduced and theorems proved which assist in the calculation of such limits where they exist. The concept is then modified to give one-sided limits and infinite limits.
Charles H. C. Little +2 more
+4 more sources
The Generalized Limit of a Function
Proceedings of the London Mathematical Society, 1942Not ...
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2013
Now that we are familiar with the real numbers, we can better understand some basic concepts of analysis: limits, convergence, and continuity. In particular, the absence of gaps in \(\mathbb{R}\) explains the absence of gaps in the graph of any continuous function.
Sergiy Klymchuk, Susan Staples
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Now that we are familiar with the real numbers, we can better understand some basic concepts of analysis: limits, convergence, and continuity. In particular, the absence of gaps in \(\mathbb{R}\) explains the absence of gaps in the graph of any continuous function.
Sergiy Klymchuk, Susan Staples
openaire +2 more sources
1996
Abstract The number of primes less than n is a function 1r(n) of the integer n. When a value of n is given, the value 1r(n) is determined, even though no algebraic expression for computing it is known. The area of a triangle is a function of the lengths of its three sides; it varies as the lengths of the sides vary and is determined ...
Richard Courant, Herbert Robbins
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Abstract The number of primes less than n is a function 1r(n) of the integer n. When a value of n is given, the value 1r(n) is determined, even though no algebraic expression for computing it is known. The area of a triangle is a function of the lengths of its three sides; it varies as the lengths of the sides vary and is determined ...
Richard Courant, Herbert Robbins
openaire +1 more source

