Results 271 to 280 of about 3,434,397 (323)
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Sequencing in real time

Nature Biotechnology, 2009
DNA synthesis by single polymerase molecules has been visualized at the speed of catalysis, heralding a new sequencing technology of unparalleled throughput.
openaire   +1 more source

Sequences of Real Numbers

2004
As we have seen, we can represent any rational number, for instance \(\sqrt 2 \), by its successive approximations with rational numbers, q1, q2, .... According to Greek mathematicians the process which generates the approximations q1, q2, ... never ends; for us, instead, such a process is the realization of \(\sqrt 2 \) as the limit of the sequence {q
Mariano Giaquinta, Giuseppe Modica
openaire   +1 more source

Complex targeted sequencing in real time

Nature Reviews Genetics, 2020
Two new papers in Nature Biotechnology report methods for targeted sequencing of complex DNA samples, achieved in real time during nanopore sequencing runs.
openaire   +2 more sources

Sequences of Real Numbers

2018
A sequence of real numbers is a function defined on a subset of positive integers with values in the real numbers. Instead of denoting the sequence by a (as we would for a function) we will use the notation (an). Note that ap denotes the value of the sequence at p and (an) denotes the whole sequence.
openaire   +1 more source

Real-valued DS-CDMA sequences

2000 IEEE Ultrasonics Symposium. Proceedings. An International Symposium (Cat. No.00CH37121), 2002
Surface acoustic wave devices can be used to implement matched filters in direct-sequence code division multiple access systems, where they can provide the equivalent of over 1 Tflop computation power. In particular, they are naturally able to process long sequences employing real-valued components. In this paper, we describe the derivation of families
E.P. Yepez, P.M. Smith
openaire   +1 more source

Real Number Sequences and Limits

2022
The exponential function “exp (x) = ex” and its corresponding inverse function the natural logarithmic function “ln(x)” are found throughout physics. The exponential function may be defined as the real number “e” to the power of the argument (the real number x).
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Real Sequences and Series

2018
This chapter develops a standard study on real sequences and series. We develop in detail topics such as superior and inferior limits for bounded sequences and their applicability in the proof of root and ratio tests for convergence of series. The comparison criterion for series is also extensively addressed and applied to a great variety of situations.
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An overview of real‐world data sources for oncology and considerations for research

Ca-A Cancer Journal for Clinicians, 2022
Lynne Penberthy   +2 more
exaly  

Sequences of Real Numbers, Convergence

1994
The chapter begins with a discussion of sequences that culminates in the concept of convergence, the fundamental concept of analysis. The Weierstrass-Bolzano theorem (§3.5), nominally a theorem about bounded sequences, is in essence a property of closed intervals; Cauchy’ criterion (§3.6) is a test for convergence, especially useful in the theory of ...
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Cancer epigenetics in clinical practice

Ca-A Cancer Journal for Clinicians, 2023
Veronica Davalos, Manel Esteller
exaly  

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