Answer
Verified
302.4k+ views
Hint: In mathematics the meaning of letter \[S\] is different as the capital letter has different meaning in different topics and small letter of \[S\] also has different meaning thus , it depends where the letter \[S\] has been used in given problem .
Complete step-by-step answer:
As \[S\] has different meanings which are as follows :
The capital letter \[S\] represents the sum of a sequence of numbers in mathematical induction and also denotes a set in set theory .
The Greek letter \[\sum\limits_{}^{} {} \]( sigma ) which is corresponding to the capital letter \[S\] represents the sum of sequences of numbers .
In set theory the \[\# S\] represents the cardinality of the set \[S\] .
The small letter \[S\] represents the sample standard deviation and it also represents the semi – perimeter of a triangle which is used in Heron’s formula .
The sample mean in sample standard deviation, is a simple estimator with many desirable properties (unbiased, efficient, maximum likelihood), there is no single estimator for the standard deviation with all these properties.
Also in higher studies of differential equations , the small letter \[S\] represents the domain in Laplace transform .
So, the correct answer is “Option B”.
Note: A mathematical symbol is a figure or a combination of figures which is used to represent a mathematical object , an action on mathematical objects , a relation between the mathematical objects , or for structuring the other symbols that are present in a formula. As formulas are entirely constituted with symbols of various types , many symbols are needed for expressing all mathematics .
Complete step-by-step answer:
As \[S\] has different meanings which are as follows :
The capital letter \[S\] represents the sum of a sequence of numbers in mathematical induction and also denotes a set in set theory .
The Greek letter \[\sum\limits_{}^{} {} \]( sigma ) which is corresponding to the capital letter \[S\] represents the sum of sequences of numbers .
In set theory the \[\# S\] represents the cardinality of the set \[S\] .
The small letter \[S\] represents the sample standard deviation and it also represents the semi – perimeter of a triangle which is used in Heron’s formula .
The sample mean in sample standard deviation, is a simple estimator with many desirable properties (unbiased, efficient, maximum likelihood), there is no single estimator for the standard deviation with all these properties.
Also in higher studies of differential equations , the small letter \[S\] represents the domain in Laplace transform .
So, the correct answer is “Option B”.
Note: A mathematical symbol is a figure or a combination of figures which is used to represent a mathematical object , an action on mathematical objects , a relation between the mathematical objects , or for structuring the other symbols that are present in a formula. As formulas are entirely constituted with symbols of various types , many symbols are needed for expressing all mathematics .
Recently Updated Pages
The branch of science which deals with nature and natural class 10 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Define absolute refractive index of a medium
Find out what do the algal bloom and redtides sign class 10 biology CBSE
Prove that the function fleft x right xn is continuous class 12 maths CBSE
Find the values of other five trigonometric functions class 10 maths CBSE
Trending doubts
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE
Select the correct plural noun from the given singular class 10 english CBSE
What organs are located on the left side of your body class 11 biology CBSE
The sum of three consecutive multiples of 11 is 363 class 7 maths CBSE
What is the z value for a 90 95 and 99 percent confidence class 11 maths CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
How many squares are there in a chess board A 1296 class 11 maths CBSE