proper fraction

However, the depicted structure is not an optimal one, because uses only a proper fraction of the available redundant information.

"Consider next the set of all proper fractions.

The screen was lit up, and it said: "Today's arithmetic lesson is on the addition of proper fractions.

Jeake also wrote on mathematics, and made the first recorded use of the terms "addend", "cosecant", and "proper fraction".

A mixed numeral (often called a mixed number, also called a mixed fraction) is the sum of a non-zero integer and a proper fraction.

It is usual for a decimal number that consists only of a fractional part, (mathematically, a proper fraction), to have a leading zero in its notation (its numeral).

These axioms state that a proper fraction is a sum of improper fractions, a negative number is not a square number and hence does not have a square root.

Examples of proper fractions are 2/3, -3/4, and 4/9; examples of improper fractions are 9/4, -4/3, and 8/3.

If the system is represented in transfer function form, the minimum number of state variables is equal to the order of the transfer function's denominator after it has been reduced to a proper fraction.

These fractions can be found by the method of continued fractions: this arithmetical technique provides a series of progressively better approximations of any real numeric value by proper fractions.

Whether this guy is deciphering a spreadsheet of 183 noncanceled proper fractions or wild suspense in a helicopter high above the desert, he has a natural authority that trumps other sorts of success.

Thus, for each tolerance class obtained from the covering of , the NM counts the number of objects that belong to and and takes the ratio (as a proper fraction) of their cardinalities.

It is usual to consider fixed-point binary values either as integral (as described above), or as proper fractions with absolute values lying in the range zero to one; we use the former convention for the rest of this section.

For any semitone that is a proper fraction of a whole tone, exactly one equal division of the octave lets the circle of fifths generate all the notes of the equal division while preserving the order of the notes.

In general, a common fraction is said to be a proper fraction if the absolute value of the fraction is strictly less than one-that is, if the fraction is between -1 and 1 (but not equal to -1 or 1).