denominator

Examples of denominator in the following topics:

• Religious Denominations

  • Denominations often form slowly over time for many reasons.
  • Consequently, different denominations may eventually form.
  • In other cases, denominations form very rapidly, from a split or schism in an existing denomination, or if people share an experience of spiritual revival or spiritual awakening and subsequently choose to form a new denomination.
  • In Christianity, non-denominational institutions or churches are those not formally aligned with an established denomination or those that remain otherwise officially autonomous.
  • Some non-denominational churches explicitly reject the idea of a formalized denominational structure as a matter of principle, holding that each congregation is better off being autonomous.

• Fractions Involving Radicals

  • Root rationalization is a process by which any roots in the denominator of an irrational fraction are eliminated.
  • In mathematics, we are often given terms in the form of fractions with radicals in the numerator and/or denominator.
  • When we are given expressions that involve radicals in the denominator, it makes it easier to evaluate the expression if we rewrite it in a way that the radical is no longer in the denominator.
  • This process is called rationalizing the denominator.
  • Let's look at an example to illustrate the process of rationalizing the denominator.

• Verbs derived from Nouns and Adjectives (Denominatives)

• Rational Algebraic Expressions

  • The key is finding the least common denominator of the two rational expressions: the smallest multiple of both denominators.
  • Then, you rewrite the two fractions using this denominator.
  • If the two denominators are different, however, then you will need to use the above strategy of finding the least common denominator.
  • Notice the factors in the denominators.
  • Finding the prime factors of the denominators of two fractions enables us to find a common denominator.

• Fractions

  • To add fractions that contain unlike denominators (e.g. quarters and thirds), it is necessary to first convert all amounts to like quantities, which means all the fractions must have a common denominator.
  • One easy way to to find a denominator that will give you like quantities is simply to multiply together the two denominators of the fractions.
  • However, sometimes there is a faster way—a smaller denominator, or a least common denominator—that can be used.
  • For example, to add $\frac{3}{4}$ to $\frac{5}{12}$, the denominator 48 (the product of 4 and 12, the two denominators) can be used—but the smaller denominator 12 (the least common multiple of 4 and 12) may also be used.
  • Find a common denominator, and change each fraction to an equivalent fraction using that common denominator.

• Complex Fractions

  • A complex fraction is one in which the numerator, denominator, or both are fractions, which can contain variables, constants, or both.
  • A complex fraction, also called a complex rational expression, is one in which the numerator, denominator, or both are fractions.
  • Since there are no terms that can be combined or simplified in either the numerator or denominator, we'll skip to Step 3, dividing the numerator by the denominator:
  • Let's move on to Step 2: combine the terms in the denominator.
  • Let's turn to Step 3: divide the numerator by the denominator.

• Religion

  • Methodists and Lutherans (two moderately formal Protestant denominations) tend to have about average SES.
  • Variations in SES across denomination reveal a correlation between religious affiliation and social class.
  • On the other hand, income, and therefore social class, is related to an individual's denomination.
  • This is dramatically higher than average; the next highest-earning denomination is Unitarianism at $56,000.
  • Explain how social class relates to religious affiliation, denomination and religiosity

• Widespread Belief

  • The Protestant denominations encompass a wide array of religious beliefs.
  • That is, there are various denominations within Protestantism including Evangelicals, Methodists and Baptists.
  • Protestant denominations accounted for 51.3%, while Roman Catholicism, at 23.9%, was the largest individual denomination.
  • Today, most Christian denominations in the United States are divided into three large groups: Evangelicalism, Mainline Protestantism and Roman Catholicism.
  • Christian denominations that do not fall within either of these groups are mostly associated with ethnic minorities, i.e. the various denominations of Eastern Orthodoxy.

• The Church-Sect Typology

  • The denomination lies between the church and the sect on the continuum.
  • A denomination is one religion among many.
  • Most of the well-known denominations of the U.S. existing today originated as sects breaking away from denominations (or Churches, in the case of Lutheranism).
  • Cults, like sects, can develop into denominations.
  • But given their closer semblance to denominations than to the cult type, it is more accurate to describe them as denominations.

• Asymptotes

  • Vertical asymptotes occur only when the denominator is zero.
  • We can identify from the linear factors in the denominator that two singularities exist, at $x=1$ and $x = -1$.
  • Notice that, based on the linear factors in the denominator, singularities exists at $x=1$ and $x=-1$.
  • However, one linear factor $(x-1)$ remains in the denominator because it is squared.
  • The coefficient of the highest power term is $2$ in the numerator and $1$ in the denominator.