DEFINITIONS AND THEOTIES






Definitions and theories[edit]

Classical definition[edit]

In the classical definition, which is standard throughout the physical sciences, measurement is the determination or estimation of ratios of quantities.[13] Quantity and measurement are mutually defined: quantitative attributes are those possible to measure, at least in principle. The classical concept of quantity can be traced back to John Wallis and Isaac Newton, and was foreshadowed in Euclid's Elements.[13]

Representational theory[edit]

In the representational theory, measurement is defined as "the correlation of numbers with entities that are not numbers".[14] The most technically elaborated form of representational theory is also known as additive conjoint measurement. In this form of representational theory, numbers are assigned based on correspondences or similarities between the structure of number systems and the structure of qualitative systems. A property is quantitative if such structural similarities can be established. In weaker forms of representational theory, such as that implicit within the work of Stanley Smith Stevens,[15] numbers need only be assigned according to a rule.
The concept of measurement is often misunderstood as merely the assignment of a value, but it is possible to assign a value in a way that is not a measurement in terms of the requirements of additive conjoint measurement. One may assign a value to a person's height, but unless it can be established that there is a correlation between measurements of height and empirical relations, it is not a measurement according to additive conjoint measurement theory. Likewise, computing and assigning arbitrary values, like the "book value" of an asset in accounting, is not a measurement because it does not satisfy the necessary criteria.

Comments

Post a Comment

Popular posts from this blog

MATHEMATICS AUTHOR

Image
Srinivasa Ramanujan was born on December 22  (1887). Srinivasa Ramanujan FRS was an Indian mathematics who lived during the British rule in India . He made substantial contribution to mathematics.  Education :Government arts college,Trinity college Cambridge . Awards:Fellow of the royal society .
Read more

INTRODUCTION OF BASIC ALGEBRA

BASIC ALGEBRA What is Algebra?            Algebra is the branch of mathematics that uses letters in place of some unknown numbers. You've been using algebra since your early schooling, when you learned formulas like the  area of a rectangle , with width  w , height  h : A  =  w  ×  h We used  letters to stand for numbers.  Once we knew the width and height, we could substitute them into the formula and find our area. Another one you may have seen is the  area of a circle , with radius  r : A  = π r 2 As soon as we know the length of the sides, we can find the area. Literal numbers  (the letters used in algebra) can either stand for  variables  (the value of the letter can change, like the  w ,  h  and  r  in the examples of the area of a rectangle and the area of a circle) or  constants  (where the value does not change), fo...
Read more

INTRODUCTION OF TRIGNOMETRY

Trigonometry  (from  Greek   trigōnon , "triangle" and  metron , "measure" [1] ) is a branch of  mathematics  that studies relationships between side lengths and  angles  of  triangles . The field emerged in the  Hellenistic world  during the 3rd century BC from applications of  geometry  to  astronomical studies .  The Greeks focused on the  calculation of chords , while mathematicians in India created the earliest-known tables of values for trigonometric ratios (also called  trigonometric functions ) such as  sine . [3] Throughout history, trigonometry has been applied in areas such as  geodesy ,  surveying ,  celestial mechanics , and  navigation . [4] Trigonometry is known for its many  identities , [5] [6]  which are equations used for rewriting trigonometrical expressions to solve equations, to find a more useful expression, or to discover new re...
Read more