I have discussed briefly in class how a stack can be used to evaluate normal mathematical expression(by normal, I mean infix notation expression). I proposed doing it in two phases:Converting an infix to a postfix expression.Evaluating the postfix expression.Both algorithms where discussed in class, and it was explained that a stack data structure is neededto implement both algorithm phases.When dealing with postfix expression, two edge issues need to be handled:First, regarding negative numbers, it is important to distinguish the unary negative sign (such us -5)from the binary subtraction operation (such us 3-5) in your implementation code. For example, oneway is to substitute the unary symbol from - (minus) to another symbol (such as ~), and consider it aspart of the operand, not an operation: for example ~5 is the (minus five operand). That substitutionshould be only implemented internally, but the program should still accept it. Of course, you can comeup with alternative ways how to resolve it.Second, postfix expression can have two operands (numbers) next to each other. You might need toseparate operands with space, in order be able to handle expression properly.As a requirement, you program should accept the same entry as in the infix expression with spaceseparating characters, such as:((2+3)/5)-1((-2+7)/3)*17It should display to the user the evaluation of the expression. However:Division is a integer division, no decimals. Division by zero should trigger an error.You have to implement the two phases explained above clearly in your code, in separatemethod.Your code should accept negative numbers. A negative number will have the "-" signattached (like -2, not-2), no space between - and 2.Your code should use a JAVA Stack class, part of the Java 1.8 API.If you need to implement multiple classes, each class should be in its own file.Adhere to the general assignment guidelines, and make sure to include the UML part ofyour deliverables.

Introduction: The question is asking to write a program in Java that accepts a mathematical…

I have discussed briefly in class how a stack can be used to evaluate normal mathematical expression (by normal, I mean infix notation expression). I proposed doing it in two phases: Converting an infix to a postfix expression. Evaluating the postfix expression. Both algorithms where discussed in class, and it was explained that a stack data structure is needed to implement both algorithm phases.

I have discussed briefly in class how a stack can be used to evaluate normal mathematical expression (by normal, I mean infix notation expression). I proposed doing it in two phases: Converting an infix to a postfix expression. Evaluating the postfix expression. Both algorithms where discussed in class, and it was explained that a stack data structure is needed to implement both algorithm phases.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Concept explainers

Heap Sort

A Heap is a type of data structure that is built on trees. It's a binary tree that's virtually complete. Except for the very bottom level, all levels of the tree must be filled in a heap. The last (bottom) level should be filled from left to right. The heap data structure is used for the efficient implementation of priority queues.Heap can be of two types:

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I have discussed briefly in class how a stack can be used to evaluate normal mathematical expression
(by normal, I mean infix notation expression). I proposed doing it in two phases:
Converting an infix to a postfix expression.
Evaluating the postfix expression.
Both algorithms where discussed in class, and it was explained that a stack data structure is needed
to implement both algorithm phases.
When dealing with postfix expression, two edge issues need to be handled:
First, regarding negative numbers, it is important to distinguish the unary negative sign (such us -5)
from the binary subtraction operation (such us 3-5) in your implementation code. For example, one
way is to substitute the unary symbol from - (minus) to another symbol (such as ~), and consider it as
part of the operand, not an operation: for example ~5 is the (minus five operand). That substitution
should be only implemented internally, but the program should still accept it. Of course, you can come
up with alternative ways how to resolve it.
Second, postfix expression can have two operands (numbers) next to each other. You might need to
separate operands with space, in order be able to handle expression properly.
As a requirement, you program should accept the same entry as in the infix expression with space
separating characters, such as:
((2+3)/5)-1
((-2+7)/3)*17
It should display to the user the evaluation of the expression. However:
Division is a integer division, no decimals. Division by zero should trigger an error.
You have to implement the two phases explained above clearly in your code, in separate
method.
Your code should accept negative numbers. A negative number will have the "-" sign
attached (like -2, not-2), no space between - and 2.
Your code should use a JAVA Stack class, part of the Java 1.8 API.
If you need to implement multiple classes, each class should be in its own file.
Adhere to the general assignment guidelines, and make sure to include the UML part of
your deliverables.

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