The __________ operator is used to dynamically allocate memory.

Determine whether the statement is true or false, and justify your answer. If there is a nonzero vector in the kernel of the matrix operator

$$T_A: R^n→R^n$$

then this operator is not one-to-one.

Refer to the Official Guidelines and fill in the blanks.
Assignment of the ________ character " ________ " for "indeterminate stage" should be based on the ________ documentation.

Devise an explanation for the obvious relation between the last two terms of the Laplacian operator, in spherical polar coordinates, and the operator for the square of the magnitude of the orbital angular momentum.

Use the Law of Syllogism to write a third conditional statement. If Mark's pen runs out of ink, then he must get a new pen to finish his assignment. If Mark must get a new pen to finish his assignment, then he must go to the store.

What is the purpose of the & operator in a macro definition?

Use the Law of Syllogism to write a third conditional statement. If Mark's pen runs out of ink, then he must get a new pen to finish his assignment. If Mark must get a new pen to finish his assignment, then he must go to the store.

Form the operator $\hat{A}^2$ if $\hat{A}=d^2 / d y^2+3 y(d / d y)-5$. Be sure to include an arbitrary function on which the operator acts.

Using the fact that the radial momentum operator is given by $\hat{p}_r=-i \hbar \frac{1}{r} \frac{\partial}{\partial r} r$, calculate the commutator $\left[\hat{r}, \hat{p}_r\right]$ between the position operator, $\hat{r}$, and the radial momentum operator.

Accessing a single character out of a string is called: a) slicing b) concatenation c) assignment d) indexing

As mentioned in earlier exercise. Now do that assignment without assuming that the population standard deviations are the same.

What’s the purpose of the scope resolution operator?

Modify the expression calculator given below to convert an expression into reverse Polish notation. Hint: Instead of evaluating the top and pushing the result, append the instructions to a string.

Here is the algorithm:

If you read a number
 Push it on the number stack.
Else if you read a (
 Push it on the operator stack.
Else if you read an operator op
 While the top of the stack has a higher precedence than op
   Evaluate the top.
 Push op on the operator stack.
Else if you read a )
 While the top of the stack is not a (
   Evaluate the top.
 Pop the (.
Else if there is no more input
 While the operator stack is not empty
   Evaluate the top.

Evaluate the top:
Pop two numbers off the number stack.
Pop an operator off the operator stack.
Combine the numbers with that operator.
Push the result on the number stack.

Briefly describe how the && operator works.