Define subsequence of a sequence for academic writing

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Define subsequence of a sequence for academic writing

One is an interface CharSequence while other is a concrete implementation of that interface String. As an interface, normally the CharSequence would be more commonly seen than String, but some twisted history resulted in the interface being defined years after the implementation.

But we did not always know this lesson so well. The String class came first in Java.

define subsequence of a sequence for academic writing

Only later did they place a front-facing interface, CharSequence. Twisted History A little history might help with understanding. Some libraries were not as well thought-through as they should have been.

String handling was one of those areas. So, many practical lessons were yet to be learned. Java started with the String class and StringBuffer class. But those two classes were unrelated, not tied to each other by inheritance nor interface. Later, the Java team recognized that there should have been a unifying tie between string-related implementations to make them interchangeable.

In Java 4 the team added the CharSequence interface and retroactively implemented that interface on String and String Buffer, as well as adding another implementation CharBuffer. Later in Java 5 they added StringBuilderbasically a unsynchronized and therefore somewhat faster version of StringBuffer.

So these string-oriented classes are a bit of a mess, and a little confusing to learn about.

define subsequence of a sequence for academic writing

Many libraries and interfaces were built to take and return String objects. Nowadays such libraries should generally be built to expect CharSequence.

General differences

But a String seems to still dominate the mindspace, and b there may be some subtle technical issues when mixing the various CharSequence implementations.

Interface Versus Class The key difference about CharSequence is that it is an interfacenot an implementation. That means you cannot directly instantiate a CharSequence. Rather you instantiate one of the classes that implements that interface.

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For example, here we have x that looks like a CharSequence but underneath is actually a StringBuilder object. Keep in mind that when you see source code with just quote marks around characters, the compiler is translating that into a String object. There are some subtle differences between "cat" and new String "cat" as discussed in this other Questionbut are irrelevant here.

Class Diagram This class diagram may help to guide you. I noted the version of Java in which they appeared to demonstrate how much change has churned through these classes and interfaces. Raw string literals A future version of Java may get the new feature of raw string literals.

This would make writing embedded code strings such as SQL more convenient.

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The Mega and the Moser In a metric space[ edit ] Since the definition of a Cauchy sequence only involves metric concepts, it is straightforward to generalize it to any metric space X. To do so, the absolute value xm - xn is replaced by the distance d xm, xn where d denotes a metric between xm and xn.

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40 Terms Commonly Used in Chinese Academic Writing carlgene on 04/11/ — 3 Comments The following is a collection of 40 terms that I have come across while reading Chinese academic writing such as papers, reports, theses, etc.

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Authors: Sepehr Assadi, Eric Balkanski, Renato Paes Leme Download: PDF Abstract: We study a twist on the classic secretary problem, which we term the secretary ranking problem: elements from an ordered set arrive in random order and instead of picking the maximum element, the algorithm is asked to assign a rank, or position, to each of the elements..

Friedman Sequences

The rank assigned is irrevocable and is. In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed. Like a set, it contains members (also called elements, or terms).The number of elements (possibly infinite) is called the length of the sequence. Unlike a set, the same elements can appear multiple times at different positions in a sequence, and order matters.

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