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: 42 is the answer to everything and just remember, Don,t panic.
For i am the hitch hikers guide to the galaxy.
Explanation:
Answer:
Data redundancy.
Explanation:
A database management system (DBMS) can be defined as a collection of software applications that typically enables computer users to create, store, modify, retrieve and manage data or informations in a database. Generally, it allows computer users to efficiently retrieve and manage their data with an appropriate level of security.
A data dictionary can be defined as a centralized collection of information on a specific data such as attributes, names, fields and definitions that are being used in a computer database system.
In a data dictionary, data elements are combined into records, which are meaningful combinations of data elements that are included in data flows or retained in data stores.
Data redundancy is the name of situation where the same data is stored unnecessarily at different places.
Simply stated, data redundancy can be defined as a condition which typically involves storing the same data in multiple storage locations. Thus, data redundancy connotes the unnecessary repetition of the same piece of data (informations) either deliberately or for some specific reasons.
Whilst all the options presented can help improve readability of a worksheet, the best answer is B. Sort and Filter.
When working with very long tables, the sort and filter functions allow table data to be better organised to improve readability. You can sort by a criteria or filter out all data except what you are looking for.
Merge & centre and wrap text relate to text formatting in the cells themselves, these are useful features in general but not essential. Conditional formatting is a useful tool to highlight certain types of data, such as to colour the cell based on its value. Again, it is not as powerful as sort/filter.
Answer: C
Explanation: Computing Device A is connected using 3 wires, which all lead to multiple different paths of wires. If you break all the wires off of A, it leaves it with no paths to use. However, if you do this with E, there is 4 differents paths connected to it. Since you need the MINIMUM, the answer would be C.
