The area of a transverse wave that marks its positive displacement is called the "peak" or the "crest".
Answer:
Let f be a function
a) f(n) = n²
b) f(n) = n/2
c) f(n) = 0
Explanation:
a) f(n) = n²
This function is one-to-one function because the square of two different or distinct natural numbers cannot be equal.
Let a and b are two elements both belong to N i.e. a ∈ N and b ∈ N. Then:
f(a) = f(b) ⇒ a² = b² ⇒ a = b
The function f(n)= n² is not an onto function because not every natural number is a square of a natural number. This means that there is no other natural number that can be squared to result in that natural number. For example 2 is a natural numbers but not a perfect square and also 24 is a natural number but not a perfect square.
b) f(n) = n/2
The above function example is an onto function because every natural number, let’s say n is a natural number that belongs to N, is the image of 2n. For example:
f(2n) = [2n/2] = n
The above function is not one-to-one function because there are certain different natural numbers that have the same value or image. For example:
When the value of n=1, then
n/2 = [1/2] = [0.5] = 1
When the value of n=2 then
n/2 = [2/2] = [1] = 1
c) f(n) = 0
The above function is neither one-to-one nor onto. In order to depict that a function is not one-to-one there should be two elements in N having same image and the above example is not one to one because every integer has the same image. The above function example is also not an onto function because every positive integer is not an image of any natural number.
Answer:
Polynomial Zero() ::= return the polynomial p(x)=0
Boolean isZero(poly) ::= return (poly == 0)
Coefficient Coeff(poly , expon) ::= If (expon tex2html_wrap_inline93 poly) return its corresponding coefficient else return 0
Exponent LeadExp(poly) ::= return the degree of poly
Polynomial Remove(poly , expon) ::= If (expon tex2html_wrap_inline93 poly) remove the corresponding term and return the new poly else return ERROR
Polynomial SingleMult(poly , coef , expon) ::= return poly tex2html_wrap_inline105 coef x tex2html_wrap_inline107
Polynomial Add(poly1 , poly2) ::= return poly1 + poly2
Polynomial Mult(poly1 , poly2) ::= return poly1 tex2html_wrap_inline105 poly2
end Polynomial
Older systems that often contain data of poor quality are called Legacy systems.
<h3>What are Legacy systems?</h3>
A legacy system is known to be a kind of an outdated computing software and it is known to be called an hardware that is said to be old but still in use.
Note that system is one that tends to meets the requirement that it was originally made for, but it is one that do not allow room for growth.
Therefore, based on the above, the Older systems that often contain data of poor quality are called Legacy systems.
Learn more about Legacy systems from
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