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My Omnidimensional AP Research: From a Simple Number Pattern to a General Power-Sum Formula

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My Omnidimensional AP Research: From a Simple Number Pattern to a General Power-Sum Formula By Kumaran Kanniappan My OMNIBAL research explores a question: If we know exactly how a sequence is generated, can we calculate its powered total without visiting every term? For arithmetic progressions, we can express that calculation through a midpoint, symmetry, and reusable moment formulas. In this article, I explain the approach from a simple example to multidimensional arrangements and higher powers, then describe how I would evaluate its practical usefulness. 1. BEGIN WITH A FAMILIAR PATTERN Consider: 3, 5, 7, 9, 11, 13, 15, 17 Each number increases by two. This is an arithmetic progression, or AP. Write it as: a_i = F + h*i, for i = 0,...,X-1 The parameters are: - F: first value. - h: common difference. - X: number of values. For this sequence: F = 3, h = 2, X = 8 Its last value is: L = F + h*(X-1) = 17 Its midpoint is: M = (F+L)/2 = 10 2. THE MIDPOINT REVEALS THE STRUCTURE Pair the valu...
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SQL Script : Adventure works database setup and Select query, list of tables #100daysofsql

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Hi all, 
 Welcome to 100 days of SQL script code 
 In this blog post, will start with AdventureWorks sample database in Microsoft SQL server 

 Install MS SQL server and SSMS latest version

Follow the restore steps in the same above link

after restoring below adventure work database below 



Run the below query in SQL server

-- showing list of tables
select * from INFORMATION_SCHEMA.TABLES
 

output



 customer and product table select query

-- customer and product table 

select * from SalesLT.Customer

select * from SalesLT.Product

Outputs are





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