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Alliteration is the repetition of syllable-initial consonant sounds between nearby words, or of syllable-initial vowels if the syllables in question do not start with a consonant. [1] It is often used as a literary device. A common example is "Peter Piper picked a peck of pickled peppers".
For example: "All humans are mortal, and Socrates is a human. ∴ Socrates is mortal." ∵ Abbreviation of "because" or "since". Placed between two assertions, it means that the first one is implied by the second one. For example: "11 is prime ∵ it has no positive integer factors other than itself and one." ∋ 1. Abbreviation of "such that".
A few examples follow: "Round and round the rugged rocks the ragged rascal ran" is an example of alliteration, where the consonant r is used repeatedly. "Sister Suzy‘s sewing socks for soldiers" is a particular form of alliteration called sibilance, repeating an s sound. Both are commonly used in poetry.
An example is the function that relates each real number x to its square x 2. The output of a function f corresponding to an input x is denoted by f(x) (read "f of x"). In this example, if the input is −3, then the output is 9, and we may write f(−3) = 9. The input variable(s) are sometimes referred to as the argument(s) of the function.
Old Norse followed the general Germanic rules for alliteration, but imposed specific alliteration patterns on specific verse forms, and sometimes rules for assonance and internal rhyme. For example, drottkvætt ("courtly meter") not only required alliteration between adjacent half-lines, but imposed requirements for consonance and internal ...
The use of multiple representations supports and requires tasks that involve decision-making and other problem-solving skills. [2] [3] [4] The choice of which representation to use, the task of making representations given other representations, and the understanding of how changes in one representation affect others are examples of such mathematically sophisticated activities.
A result is called "deep" if its proof requires concepts and methods that are advanced beyond the concepts needed to formulate the result. For example, the prime number theorem — originally proved using techniques of complex analysis — was once thought to be a deep result until elementary proofs were found. [1]
Old English metre is the conventional name given to the poetic metre in which English language poetry was composed in the Anglo-Saxon period. The best-known example of poetry composed in this verse form is Beowulf, but the vast majority of Old English poetry belongs to the same tradition.