LISP, an acronym for list processing, is a programming language that was designed for easy manipulation of data strings. It is a commonly used language for artificial intelligence (AI) programming.
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The ppt includes Algorithms,notations,analysis,analysis of algorithms,theta notation, big oh notation, omega notation, notation graphs
An overview of functional programming. You can do functional programming in any language, it’s just that some languages push you toward this style. There are many styles of programming, depending on the dimension you look at and the features available in the language: Imperative vs Functional, Compiled vs Scripting, Static vs Dynamic, Implicit vs Explicit type conversion, Managed vs Unmanaged (memory). We'll talk about these concepts.
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a. Concept and Definition✓
b. Inserting and Deleting nodes ✓
c. Linked implementation of a stack (PUSH/POP) ✓
d. Linked implementation of a queue (Insert/Remove) ✓
e. Circular List
• Stack as a circular list (PUSH/POP) ✓
• Queue as a circular list (Insert/Remove) ✓
f. Doubly Linked List (Insert/Remove) ✓
For more course related material:
https://github.com/ashim888/dataStructureAndAlgorithm/
Personal blog
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PPT on Analysis Of Algorithms.
The ppt includes Algorithms,notations,analysis,analysis of algorithms,theta notation, big oh notation, omega notation, notation graphs
An overview of functional programming. You can do functional programming in any language, it’s just that some languages push you toward this style. There are many styles of programming, depending on the dimension you look at and the features available in the language: Imperative vs Functional, Compiled vs Scripting, Static vs Dynamic, Implicit vs Explicit type conversion, Managed vs Unmanaged (memory). We'll talk about these concepts.
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a. Concept and Definition✓
b. Inserting and Deleting nodes ✓
c. Linked implementation of a stack (PUSH/POP) ✓
d. Linked implementation of a queue (Insert/Remove) ✓
e. Circular List
• Stack as a circular list (PUSH/POP) ✓
• Queue as a circular list (Insert/Remove) ✓
f. Doubly Linked List (Insert/Remove) ✓
For more course related material:
https://github.com/ashim888/dataStructureAndAlgorithm/
Personal blog
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In this PPT you will learn how to use looping in python.
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This lecture talks about parsing. Briefly gives overview on lexicon, categorization, grammar rules, syntactic tree, word senses and various challenges of natural language processing
Merge sort is a sorting technique based on divide and conquer technique. With worst-case time complexity being Ο(n log n), it is one of the most respected algorithms.
Merge sort first divides the array into equal halves and then combines them in a sorted manner.
In this PPT you will learn how to use looping in python.
For more presentation in any subject please contact us on
raginijain0208@gmail.com.
You get a new presentation every Sunday at 10 AM.
Learn more about Python by clicking on given below link
Python Introduction- https://www.slideshare.net/RaginiJain21/final-presentation-on-python
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Python Datatypes - https://www.slideshare.net/RaginiJain21/data-types-in-python-248466302
Python Library & Module - https://www.slideshare.net/RaginiJain21/python-libraries-and-modules
Basic Python Programs- https://www.slideshare.net/RaginiJain21/basic-python-programs
Python Media Libarary - https://www.slideshare.net/RaginiJain21/python-media-library
This lecture talks about parsing. Briefly gives overview on lexicon, categorization, grammar rules, syntactic tree, word senses and various challenges of natural language processing
Merge sort is a sorting technique based on divide and conquer technique. With worst-case time complexity being Ο(n log n), it is one of the most respected algorithms.
Merge sort first divides the array into equal halves and then combines them in a sorted manner.
Although people may be very accustomed to reading and understanding .docxmilissaccm
Although people may be very accustomed to reading and understanding calculations like those in the preceding assignments, it is evident they are not very self-evident or obvious in the world of computing. One way to simplify the problem is just to redefine how expressions are represented, to allow for simpler interpretation.
One knows that a plus sign means to add, but typically when a plus sign is encountered in the middle of an expression, there is not yet enough information to know what values are to be added. One has to continue scanning the expression to find the second operand, and also decide if there are other operations of higher precedence that must take place first. How much simpler it would be if a parser could know to add just as soon as the plus sign appears.
This is the motivation for a representation called
postfix
notation, in which all operators
follow
their operands. Here are some illustrations.
Infix Representation
Postfix Representation
Operations
(1 + 2) * 3
1 2 + 3 *
Add 1 and 2, then multiply by 3
1 + (2 * 3)
1 2 3 * +
Multiply 2 and 3, then add to 1
(1+2) * (6-4)
1 2 + 6 4 - *
Add 1 and 2, subtract 4 from 6, multiply
Hewlett Packard has produced a line of calculators that expected all inputs to be in postfix form, so every operation key could compute the moment it was pressed.
The goal of this assignment is to convert an infix expression into a postfix expression. This can be accomplished using the same algorithm as was used to evaluate the infix expression, simply yielding a new expression instead of a computed value. In the last example, instead of adding, it would produce an expression ending with a plus sign. The multiplication function would similarly produce an expression from its operands, followed by the multiplication operator.
Applying a Linked List
One of the purposes of this course is to find the data structures that would assist in producing the best results as efficiently as possible. The linked list is quite serviceable for the needs of this assignment.
A linked list will be useful in the calculation portion of this assignment. As the postfix expression is scanned, values must be saved until an operator is discovered. Each operator would apply to the two values that precede it, and then its result would also be saved. As an extreme example, consider this expression:
1 2 3 4 5 * - + - multiply 4 * 5, subtract from 3, add to 2, subtract from 1
Note this is not at all the same meaning as:
1 2 * 3 - 4 + 5 - or 4 5 * 3 - 2 + 1 -
(If you need to more clearly see the difference, try inserting parentheses around all operations, such that each parentheses consists of two expressions followed by an operator.)
Defining a Linked List
The linked list is a rather simple data structure, and the required operations should be rather simple, so very little will be said here about what to do. Instead, here is a quick highlight of what should appear in your implementation..
This first assignment will focus on coding in Python, applying kno.docxabhi353063
This first assignment will focus on coding in Python, applying knowledge students should already have about programming with functions and arrays. When the assignment is complete, there will in fact be some indirect recursion, but that needs not complicate the assignment, if each function is allowed to assume that all other functions are implemented correctly.
Problem Description
Several years of experience in algebra probably yields a consistent interpretation of the expression
12 - 2 * 5 +3
Most would expect that the multiplication would be the first operation, followed by a subtraction, and then an addition, yielding a value of 5. Performing those three operations in any other order would yield very different results.
When a programmer places such an expression into a program, they would expect it to perform the same series of operations. The interpreter or compiler making sense of the expression then must be able to construct the correct meaning of the input. Often one will hear of this behavior called
parsing
.
Assignment Specifications
The input for this assignment will arrive as an instantiated
Python list
consisting of
tokens
, where each token is either an integer numeral or an operator. An additional symbol (such as a semicolon) will appear at the end of the list to mark the end of the input.
The Python list has a great deal in common with the C++ array, and this assignment will treat it as such. One will be able to use an integer subscript to examine each element of the list, just as one could examine consecutive array elements. The next assignment will use a different approach to visit the elements of the list.
Implementation Hints
One very simple method of parsing input is termed
predictive parsing
in which each function has an idea of what it expects to see next (or what alternatives it will encounter). For example, we would expect a numeric expression like the one above to include a series of values to be added or subtracted. Whether those values are explicit numbers (such as 12 and 3) or the results of other operations (such as 2*5) might sound like a complication, but that can just be addressed by some other function.
The pseudocode for parsing a sum expression would therefore look something like this:
to evaluate a sum expression (series of zero or more additions and subtractions): evaluate a product expression (zero or more multiplications and divisions) while the next token is a + or - operator evaluate the product expression that follows the operator perform the addition or subtraction
For the given example, the first product expression would simply be the value 12. This is followed by a minus sign, so the next product is evaluated to be 10, which is subtracted from 12 to yield 2. Since this is followed by a plus sign, the loop would repeat to evaluate and add the 3. No more operators appear, so the final result is 5.
The above specifications said that some other symbol would appear at the very end of the input. Thi ...
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2. Agenda
● Why LISP
● What is LISP
● Timeline of Lisp dialects
● Fundamentals of LISP
● Expression Evaluation in LISP
● Defining Variables
● Evaluating Combinations
● Procedure Definitions
● The Substitution Model for Procedure Application
● Conditional Expressions
● Linear Recursion and Iteration
3. Why LISP
The Key motivations behind Learning LISP are as follow:-
● Some of the features of Scala are inherited from LISP.
● Scala is Hybrid Programming Language. It consist features of both
Functional and Object Oriented Programming Language.
● We most of us know the Object Oriented programming Language like JAVA,
C++ etc.
● Undersanding the Basics of LISP can help us understand the other
functional programming languages like clojure.
4. What is LISP
● LISP, an acronym for list processing, is a programming language that was
designed for easy manipulation of data strings.
● Developed in 1959 by John McCarthy,
● It is a commonly used language for artificial intelligence (AI) programming.
● It is one of the oldest programming languages still in relatively wide use.
● All program code is written as s-expressions, or parenthesized lists.
6. What is LISP
● LISP, an acronym for list processing, is a programming language that was
designed for easy manipulation of data strings.
● Developed in 1959 by John McCarthy,
● It is a commonly used language for artificial intelligence (AI) programming.
● It is one of the oldest programming languages still in relatively wide use.
● All program code is written as s-expressions, or parenthesized lists.
7. Fundamentals of LISP
Every powerful language has three mechanisms for accomplishing this :-
● Primitive expressions, which represent the simplest entities the language
is concerned with,
● Means of combination, by which compound elements are built from
simpler ones, and
● Means of abstraction, by which compound elements can be named and
manipulated as units.
8. Expression Evaluation in LISP
Expressions representing numbers may be combined with an expression representing a
primitive procedure (such as + or *) to form a compound expression that represents the
application of the procedure to those numbers. For example:-
(+ 137 349)
486
(- 1000 334)
666
(* 5 99)
495
(/ 10 5)
2
9. Expression Evaluation in LISP
Expressions such as these, formed by delimiting a list of expressions within
parentheses in order to denote procedure application, are called combinations.
● The leftmost element in the list is called the operator, and the other elements are
called operands.
● The value of a combination is obtained by applying the procedure specified by the
operator to the arguments that are the values of the operands.
● The convention of placing the operator to the left of the operands is known as
prefix notation.
● No ambiguity can arise, because the operator is always the leftmost element and
the entire combination is delimited by the parentheses.
10. Defining Variables
Define is LISP language's simplest means of abstraction, for it allows us to
use simple names to refer to the results of compound operation.
(define pi 3.14159)
(define radius 10)
(* pi (* radius radius))
314.159
(define circumference (* 2 pi radius))
Circumference
62.8318
11. Evaluating Combinations
To evaluate a combination, do the following:
● 1. Evaluate the subexpressions of the combination.
● 2. Apply the procedure that is the
value of the leftmost subexpression
(the operator) to the arguments
that are the values of the other
subexpressions (the operands).
(* (+ 2 (* 4 6))
(+ 3 5 7))
12. Evaluating Combinations
Each combination is represented by a node with branches corresponding to the
operator and the operands of the combination stemming from it.
The terminal nodes (that is, nodes with no branches stemming from them)
represent either operators or numbers. Viewing evaluation in terms of the tree,
we can imagine that the values of the operands percolate upward, starting from
the terminal nodes and then combining at higher and higher levels.
the ``percolate values upward'' form of the evaluation rule is an example of a
general kind of process known as tree accumulation.
13. Procedure Definitions
A much more powerful abstraction technique by which a compound operation can
be given a name and then referred to as a unit.
(define (square x) (* x x))
We can understand this in the following way:
(define (square x) (* x x))
square something, multiply it by itself.
We have here a compound procedure, which has been given the name square. The
procedure represents the operation of multiplying something by itself. The thing to
be multiplied is given a local name, x, which plays the same role that a pronoun
plays in natural language. Evaluating the definition creates this compound
procedure and associates it with the name square
14. The Substitution Model for Procedure Application
There Exists 2 type of Orders to Evaluate any Procedure in LISP.
● Normal Order
● Applicative Order
● Normal Order :- the interpreter first evaluates the operator and operands
and then applies the resulting procedure to the resulting arguments
15. Normal Order
Normal Order Example :-
(sum-of-squares (+ 5 1) (* 5 2))
(+ (square 6) (square 10 ) )
If we use the definition of square, this reduces to
(+ (* 6 6) (* 10 10))
which reduces by multiplication to
(+ 36 100)
and finally to
136
16. Applicative Order
● Applicative Order :- An alternative evaluation model would not evaluate the operands until their
values were needed. Instead it would first substitute operand expressions for parameters until it
obtained an expression involving only primitive operators, and would then perform the evaluation.
(sum-of-squares (+ 5 1) (* 5 2))
(+ (square (+ 5 1)) (square (* 5 2)) )
(+ (* (+ 5 1) (+ 5 1)) (* (* 5 2) (* 5 2)))
followed by the reductions
(+ (* 6 6) (* 10 10))
(+ 36 100)
136
17. Conditional Expressions
Most of the time situation arises when we need to perform some operation based on
some condition.
For Example :- Finding the Absolute value.
Condition will be :-
● IF x > 0 return x
IF x = 0 return 0
IF x < 0 return -x
This construct is called a case analysis, and there is a special form in Lisp for notating such
a case analysis. It is called cond (which stands for ‘‘conditional’’), and it is used as follows:
● (define (abs x)
(cond ((> x 0) x)
((= x 0) 0)
((< x 0) (- x))))
18. Linear Recursion and Iteration
● Recursion:- the repeated application of a recursive procedure or definition.
● Iteration:- the repetition of a process.
Example:- Finding the Factorial of some number.This can easily implemented in 2
ways .
● Using Recusrion
● Using Iteration.
19. Linear Recursion
● Factorial Using the Recursion in LISP
(define (factorial n)
(if (= n 1)
1
(* n (factorial (- n 1)))))
● Here, Time Complexity is O(x)
● Space Complexity is O(x)