APPLICATIONS OF ARTIFICIAL INTELLlGENCE

-
  APPLICATIONS OF ARTIFICIAL  INTELLlGENCE the Tapestry of Artificial Intelligence in Real-Time" Introduction: In a world increasingly defined by technological advancements, Artificial Intelligence (AI) emerges as a revolutionary force, weaving its intricate threads into the fabric of our daily lives. Far beyond the realms of science fiction, AI has transcended the binary boundaries of zeros and ones to become a dynamic force driving innovation across diverse domains. In this exploration, we unveil the tapestry of Artificial Intelligence and its real-time applications, transcending conventional narratives to reveal the nuanced and unexpected ways AI is shaping our world. Sentient Spaces: The Symphony of Smart Cities In the urban landscape, AI orchestrates a symphony of smart cities, transforming mundane spaces into sentient environments. From intelligent traffic management systems that optimize commuter routes in real-time to energy-efficient buildings that adapt to user preferenc
Post a Comment
banner

Simplest Intuitive Proof of Dijkstra’s Shortest path Algorithm

-

 Simplest Intuitive Proof of Dijkstra’s Shortest path  Algorithm


Dijkstra's shortest path algorithm is a fundamental algorithm used to find the shortest paths from a source node to all other nodes in a weighted graph. While it may be challenging to provide the simplest and most intuitive proof in a text format, I can give you a high-level overview of the algorithm's intuition and correctness.

READ MORE.....

The intuition behind Dijkstra's algorithm can be summarized as follows:


Initialization: Start at the source node and set its distance to 0. Set the distances to all other nodes to infinity initially. Create an empty set (or priority queue) to keep track of the nodes whose shortest distances have been determined.

READ MORE.....

Greedy Selection: Repeatedly select the node with the smallest distance from the set of unprocessed nodes. Initially, this will be the source node.

READ MORE.....

Relaxation: For the selected node, consider all its neighbors (nodes connected by edges). For each neighbor, calculate the total distance from the source node through the selected node. If this distance is shorter than the neighbor's current distance, update the neighbor's distance to this shorter distance.


Repeat: Repeat steps 2 and 3 until you have processed all nodes or until the destination node's distance cannot be improved further.

READ MORE.....

Termination: When all nodes have been processed or when the destination node's distance cannot be improved further, the algorithm terminates. The distances to all nodes represent the shortest path distances from the source node.





READ MORE.....



Now, for a simplified proof of correctness:


Dijkstra's algorithm is based on the principle of "greedy choice." At each step, it selects the node with the smallest tentative distance, which guarantees that the algorithm explores shorter paths before longer ones.

READ MORE.....

The algorithm maintains a set of explored nodes and always selects the unexplored node with the smallest tentative distance. This guarantees that when the destination node is reached, its distance is indeed the shortest possible.

READ MORE.....

The relaxation step ensures that if there's a shorter path to a node through the currently selected node, the algorithm updates the node's distance accordingly. This ensures that once a node is selected, its distance is final and represents the shortest path to that node.

READ MORE.....

The algorithm terminates when all nodes have been processed or when the destination node's distance cannot be improved further. At this point, all shortest path distances from the source node to all other nodes have been found.

READ MORE.....

Dijkstra's algorithm is guaranteed to find the correct shortest paths as long as it is applied to graphs with non-negative edge weights. If there are negative edge weights, the Bellman-Ford algorithm is a more suitable choice.

I request all of you to please click on below link to get free Amazon smart gift coupon/ card worth $150


http://tinyurl.com/2p8tzect



I request all of you to please click on below link to get free Amazon smart gift coupon/ card worth $300


http://tinyurl.com/45m7p7uw

READ MORE.....

Hey Guys, if you liked the post then donot forget to follow me, upvote and share the post with your dear friends.

Thank you!


https://anuragraggzzspace.quora.com/


Location: 4H8Q+WJ Jordan River, SK, Canada

Comments

Post a Comment

Please do comment, subscribe and follow me.
Try to share with your friends.

banner

POPULAR POSTS FROM BLOGG

Software Products

-
   Software Products Introduction: In a world dominated by software giants and corporate behemoths, it's easy to assume that software products follow a cookie-cutter formula for success. However, the software industry is no stranger to innovation, and every once in a while, a unique and unconventional software product emerges, challenging the status quo and reshaping the digital landscape. In this article, we'll explore some of these groundbreaking and unconventional software products that have redefined our expectations and left an indelible mark on the industry. Notion: The Swiss Army Knife of Productivity Notion, often described as an all-in-one workspace, defies traditional categorization. It combines the functionality of note-taking, task management, databases, and wikis, all under one roof. With its customizable and flexible nature, Notion empowers users to create tailored solutions for their unique needs. No longer bound by rigid structures, users can mold Notion into wh
Read more

The Art of Programming: Sculpting with Code"

-
  The Art of Programming: Sculpting with Code" Introduction: Software programming is often regarded as a technical endeavor, but it can be much more than that. It's a creative process that enables developers to sculpt digital worlds, solve complex problems, and even express their artistic side. In this article, we'll explore the artistic and creative aspects of software programming that make it a unique and fulfilling endeavor. The Canvas of Code: Imagine software as your canvas and code as the paintbrush. Just as a painter uses strokes and colors to create a masterpiece, a programmer uses algorithms and lines of code to craft intricate solutions. The code becomes a work of art, and the output, a symphony of functionality. Problem-Solving as a Puzzle: Programming often involves solving complex problems, much like solving a puzzle. The process of breaking down a problem into smaller, manageable pieces and devising elegant solutions can be immensely satisfying. It's like
Read more

Best Laptops for the Programmers in 2023

-
  Best Laptops for the Programmers in 2023 Here are some of the best laptops for programming in 2023: Apple MacBook Pro 14 (M2, 2023): This is the most powerful MacBook Pro yet, with the new M2 chip that offers up to 18% faster CPU performance and 35% faster GPU performance than the previous generation. It also has a beautiful Liquid Retina XDR display, a long battery life, and a comfortable keyboard. READ  MORE...... Dell XPS 15 : This is a popular choice for programmers because it offers a great balance of performance, battery life, and portability. It has a powerful Intel Core i7 processor, a 15.6-inch display, and up to 16GB of RAM. Dell XPS 15 laptopOpens in a new window www.dell.com Dell XPS 15 laptop READ  MORE...... Microsoft Surface Laptop 4 : This is a great option for Windows programmers. It has a thin and light design, a comfortable keyboard, and a long battery life. It also comes with a free year of Microsoft 365. Microsoft Surface Laptop 4 laptopOpens in a new window
Read more
banner