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Tin (1965) [18] described and compared ratio estimators proposed by Beale (1962) [19] and Quenouille (1956) [20] and proposed a modified approach (now referred to as Tin's method). These ratio estimators are commonly used to calculate pollutant loads from sampling of waterways, particularly where flow is measured more frequently than water quality.
The New King James Version (NKJV) is a translation of the Bible in contemporary English. Published by Thomas Nelson, the complete NKJV was released in 1982.With regard to its textual basis, the NKJV relies on a modern critical edition (the Biblia Hebraica Stuttgartensia) for the Old Testament, [1] while opting to use the Textus Receptus for the New Testament.
The divisor summatory function is defined as = =,where = =, =is the divisor function.The divisor function counts the number of ways that the integer n can be written as a product of two integers.
When a ratio is written in the form A:B, the two-dot character is sometimes the colon punctuation mark. [8] In Unicode, this is U+003A : COLON, although Unicode also provides a dedicated ratio character, U+2236 ∶ RATIO. [9] The numbers A and B are sometimes called terms of the ratio, with A being the antecedent and B being the consequent. [10]
Given any ratio, one can take its reciprocal; if the ratio was above 1, the reciprocal will be below 1, and conversely. The reciprocal expresses the same information, but may be more understandable: for instance, the earnings yield can be compared with bond yields, while the P/E ratio cannot be: for example, a P/E ratio of 20 corresponds to an ...
In the case of two nested square roots, the following theorem completely solves the problem of denesting. [2]If a and c are rational numbers and c is not the square of a rational number, there are two rational numbers x and y such that + = if and only if is the square of a rational number d.
The "dilution factor" is an expression which describes the ratio of the aliquot volume to the final volume. Dilution factor is a notation often used in commercial assays. For example, in solution with a 1/5 dilution factor (which may be abbreviated as x5 dilution ), entails combining 1 unit volume of solute (the material to be diluted) with ...
The New King James Version (NKJV) organises this chapter as follows: The Parable of the Workers in the Vineyard (Matthew 20:1–16) Jesus a Third Time Predicts His Death and Resurrection (Matthew 20:17–19; Mark 10:32–34; Luke 18:31–34) Greatness is Serving (Matthew 20:20–28) Two Blind Men Receive Their Sight (Matthew 20:29–34).