Answer:
Array: (a) All the messages a user has sent.
Variable: (b) The highest score a use has reached on the app. (c) A username and password to unlock the app.
Explanation:
An array generally has more than one value whereas a variable can only contain a single value at any particular point in time. In addition, a variable has a limit whereas an array does not have any maximum limit. Therefore, it can be concluded that option (a) will be stored as an array while options (b) and (c) will be stored as variables.
To represent the 5 children as a computer bit, we make use of the equation . 3 bits are required to represent the 5 children.
Given that
---- number of children
The number of bits (b) is calculated as:
Substitute 5 for n
Take logarithm of both sides
Apply law of logarithm
Make b the subject
The number of bits must be an integer. So, we use the greatest integer closest to 2.32. The integer is 3
So:
Hence, the number of bits to represent the 5 children is 3.
Read more about bits at:
Answer:
The Internet
Explanation:
Why? The internet has done twice if not thrice what the printing press has done. The printing press allowed for dissemination of information and knowledge to the population through its mechanical movable printing capability and speed of book publishing. However its reach was highly limited by the physical attributes of the machines and having to transfer books and papers in spreading them to certain destinations. This limitation has been eliminated by the internet as one is able to receive a book written today in seconds and not physically but through electronic means. In other words, information need not be transferred physically, also accessbility and cost of getting information has been highly improved with the internet.
∃x (P(x) ∧ D(x))
Negation: ¬∃x (P(x) ∧ D(x))
Applying De Morgan's law: ∀x (¬P(x) ∨ ¬D(x))
English: Every patient was either not given the placebo or not given the medication (or both).
(a) Every patient was given the medication.
(b) Every patient was given the medication or the placebo or both.
(c) There is a patient who took the medication and had migraines.
(d) Every patient who took the placebo had migraines. (Hint: you will need to apply the conditional identity, p → q ≡ ¬p ∨ q.)
Answer:
P(x): x was given the placebo
D(x): x was given the medication
M(x): x had migraines
Explanation:
(a) Every patient was given the medication
Solution:
∀x D(x)
∀ represents for all and here it represents Every patient. D(x) represents x was given the medication.
Negation:¬∀x D(x).
This is the negation of Every patient was given the medication.
The basic formula for De- Morgan's Law in predicate logic is:
¬(P∨Q)⇔(¬P∧¬Q)
¬(P∧Q)⇔(¬P∨¬Q)
Applying De Morgan's Law:
∃x ¬D(x)
∃ represents there exists some. As D(x) represents x was given the medication so negation of D(x) which is ¬D(x) shows x was not given medication. So there exists some patient who was not given the medication.
Logical expression back into English:
There was a patient who was not given the medication.
(b) Every patient was given the medication or the placebo or both.
Solution:
∀x (D(x) ∨ P(x))
∀ represents for all and here it represents Every patient. D(x) represents x was given the medication. P(x) represents x was given the placebo. V represents Or which shows that every patient was given medication or placebo or both.
Negation: ¬∀x (D(x) ∨ P(x))
This is the negation or false statement of Every patient was given the medication or the placebo or both.
Applying De Morgan's Law:
∃x (¬D(x) ∧ ¬P(x))
∃ represents there exists some. As D(x) represents x was given the medication so negation of D(x) which is ¬D(x) shows x was not given medication. As P(x) represents x was given the placebo so negation of P(x) which is ¬P(x) shows x was not given placebo. So there exists some patient who was neither given medication nor placebo.
Logical expression back into English:
There was a patient who was neither given the medication nor the placebo.
(c) There is a patient who took the medication and had migraines.
Solution:
∃x (D(x) ∧ M(x))
∃ represents there exists some. D(x) represents x was given the medication. M(x) represents x had migraines. ∧ represents and which means patient took medication AND had migraines. So the above logical expression means there exists a patient who took medication and had migraines..
Negation:
¬∃x (D(x) ∧ M(x))
This is the negation or false part of the above logical expression: There is a patient who took the medication and had migraines.
Applying De Morgan's Laws:
∀x (¬D(x) ∨ ¬M(x))
∀ represents for all. As D(x) represents x was given the medication so negation of D(x) which is ¬D(x) shows x was not given medication. As M(x) represents x had migraines so negation of ¬M(x) shows x did not have migraines. ∨ represents that patient was not given medication or had migraines or both.
Logical expression back into English:
Every patient was not given the medication or did not have migraines or both.
(d) Every patient who took the placebo had migraines.
Solution:
∀x (P(x) → M(x))
∀ means for all. P(x) represents x was given the placebo. M(x) represents x had migraines. So the above logical expressions represents that every patient who took the placebo had migraines.
Here we are using conditional identity which is defined as follows:
Conditional identity, p → q ≡ ¬p ∨ q.
Negation:
¬∀x (P(x) → M(x))
¬∀ means not all. P(x) implies M(x). The above expression is the negation of Every patient who took the placebo had migraines. So this negation means that Not every patient who took placebo had migraines.
Applying De Morgan's Law:
∃x (P(x) ∧ ¬M(x))
∃ represents there exists some. P(x) represents x was given the placebo. ¬M(x) represents x did not have migraines. So there exists a patient who was given placebo and that patient did not have migraine.
Logical expression back into English:
There is a patient who was given the placebo and did not have migraines.
Answer:
When you move or size a control in the Form Designer, Visual Studio automatically adjusts the properties that specify the location and size of the control.
b) Within that file only
c) global
Answer:
The correct answer for the given question is option(a) i.e Local - within that function.
Explanation:
The variable which is declared inside any function are called as local variable The scope and lifetime of local variable is inside that block or function only.
They cannot access outside the function.
Following are the example of local variable
#include <stdio.h> // header file
void fun(); // function prototype
int main()// main function
{
fun(); //calling function
print("%d",t); // it gives error because t is local variable cannot access in main function
return 0;
}
void fun()
{
int t=9;// local variable
printf("t is local variable which value is:");
printf("%d",t);
}
As we seen that t cannot access outside the function .So correct answer is option(a)
The scope of a variable declared inside of a function is local - within that function. This prevents naming conflicts and ensures control over where a variable can be changed.
The scope of a variable declared inside of a function is typically local to that function. This means that it can only be accessed and manipulated within the function it is declared. It is not visible or accessible from outside of the function or elsewhere in the program file, hence options b) and c) are incorrect. This principle is fundamental in programming languages such as JavaScript, C++, Python, etc., and it is designed this way to prevent naming conflicts and provide control over where a variable can be changed.
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