Rewrite as a single rational expression

See also amicable numbers. Harshad number A Harshad number is a number that is divisible by the sum of its own digits.

Rewrite as a single rational expression

While tanka is so in Japan, the differences between the Japanese and English languages mean that syllable counting was abandoned a long time ago in English with pertinent criticism being made as early as the s.

Teachers who wish to introduce students to the exciting world of contemporary tanka should know how much more it has to offer far beyond an exercise in counting syllables.

The fundamental structure of tanka is that it is composed of five poetic phrases. A poetic phrase may be a grammatical phrase, a fragment, a single word, a sentence, or even a punctuation mark or other device.

2 Strings: Text Processing at the Lowest Level

The five parts are conventionally rendered on five lines in English, although that is not always the case. Tanka in Japanese is written on one line, or with whatever divisions are suitable for the calligraphy.

Thinking in small units the poetic phrase that build up together to form a larger unit the poemhelps students by breaking down the poem into its constituent parts, parts that are determined by logic, meaning, context, rhythm, and format, not by some arbitrary numbering of syllables.

Mere syllable-counting frequently results in enjambment, and although enjambment is a legitimate technique, most examples in novice work come from breaking a poetic phrase in the middle instead of dividing a poem according to meaning and prosody.

Emphasis in tanka teaching should be on the five poetic parts that build into a larger whole. This dovetails with the need to teach students structure, organization, and the use of supporting details in the creation of a written work.

Tanka are usually strongly imagistic poems. This lends itself well to the concrete and imaginative thinking of children, as well as supporting writing skills such as use of detail and example. In addition, the bias in contemporary tanka is for autobiography, so encouraging children to use their own experiences as source material also promotes self-expression and demystifies the poetry writing process.

Since students work best with rubrics and framework, teaching them the SLSLL pattern is a useful starting point. Tanka in Japanese are built on a pattern of short-long-short-long-long lines.

The same form is common in English, although much looser forms are also used. The goal is for fluid, natural diction that avoids unnatural grammar. Grammar is flexible in tanka, but should conform to the goals of clarity and melody.

Grammar should not be violated merely to achieve a particular syllable count or line length; lines breaks should usually follow natural grammatical pauses. End stops and initial capitals are optional and omitted by most but not all major tanka poets. Poetry for children takes many forms, from pure entertainment to coping with more serious subjects.

In the case of the former, word play, silliness, and other elements enhance the entertainment value, while in the latter imagery and emotion can address deeper issues. Nowadays students are often taught that poetry is nothing more than self-expression, but although self-expression is important, in order for it to become literature, skill must be involved.

The poems chosen represent a variety of approaches to tanka poetry.The variable raw contains a string with 1,, characters. (We can see that it is a string, using type(raw).)This is the raw content of the book, including many details we are not interested in such as whitespace, line breaks and blank lines.

Complexity characterises the behaviour of a system or model whose components interact in multiple ways and follow local rules, meaning there is no reasonable higher instruction to define the various possible interactions.. The term is generally used to characterize something with many parts where those parts interact with each other in multiple ways, culminating in a higher order of emergence.

In this video, learn how to go from a rational exponent to a radical expression and back. No tricks or magic, just good math!

We'll review the basics and look at a few examples. Binds to the value of expression>, which must evaluate, at macro-expansion time, to a transformer.

Macro transformers can be created using the syntax-rules and identifier-syntax forms described in section See library section on “Transformers” for .

rewrite as a single rational expression

rewrite(f, target) transforms an expression f to a mathematically equivalent form, trying to express f in terms of the specified target function. The target indicates the . Feb 05,  · Rewrite the expression as a single rational expression, simplified as much as possible. x2 − 1 x − 8 − 1 x?

Simplifying rational expression? Solving rational expression?Status: Resolved.

Simplifying Rational Expressions