Skip to main content

Omnidimensional X-progressive Page

By
OMNIBAL — Omnidimensional Sequence Lab
OMNIBALOmnidimensional engine Machine-verified calculator

AP · GP · HP / Interactive research lab

Shape a sequence.
See every dimension.

Enter a starting number, a spacing or ratio, a power, and any dimensional arrangement. OMNIBAL generates the run, maps every cell, and returns the final computation.

01 / Define the run

Arithmetic progression

Add equally spaced values after raising each one to the chosen power.

02 / Final computation

Sum of powered AP terms

AP · Σ kᵖ
Exact result
2,584
7³ + 8³ + 9³ + 10³
Σᵢ₌₀³ (7 + i·1)³ = 2,584
Cell count X4
Midpoint M8.5
Last term L10
Dimensions2-D
2 × 2 arrangement4 values · one balanced run

03 / Inspect every cell

Term explorer

Showing all 4 cells
#CoordinateBase termPowered contribution

The OMNIBAL method

One balance idea.
Three sequence families.

AP

Add powers

Generate equally spaced terms and add their powered values: Σ(F + iΔ)ᵖ.

GP

Multiply powers

Generate a fixed-ratio run and multiply powered terms. Mirror pairs share one product.

HP

Flip and add

Generate equally spaced denominators, invert their powered values, then add: Σ(F + iΔ)⁻ᵖ.

OMNIBAL · Kumaran Kanniappan · 2026Formulas with space exploration

Comments

Post a Comment

Share this to your friends

Popular posts from this blog

Guidewire Rating detailed explanations

By
Guidewire Rating is a critical component of Guidewire PolicyCenter that handles the calculation of insurance premiums based on various factors, such as risk characteristics, coverage options, and discounts. Here's a detailed explanation of how Guidewire Rating works, its components, and how it can be configured and extended. 1. Overview of Guidewire Rating Guidewire Rating is responsible for determining the price of an insurance policy by applying rating logic, rules, and algorithms to the insured's data. The rating process involves evaluating factors like the type of coverage, the insured risk (e.g., the driver’s record, vehicle type in auto insurance), and the chosen limits and deductibles. The output is a premium amount that the policyholder must pay. 2. Key Components of Guidewire Rating a. Rating Engine The Rating Engine is the core system within PolicyCenter that processes rating inputs and outputs premium calculations. It interprets rating formulas, applies them to speci...
Post a Comment
Read more

JSP and Servlet Form Submission without page refresh show results on the same page using Jquery AJAX

By
Code Snippet HTML Form  <form id='ajaxform' name='ajaxform' action='ajaxformexample' method='post'>  First Name: <input type='text' id='firstname' name='firstname' size='30' required/><br/>  Last Name: <input type='text' id='lastname' name='lastname' size='30'required/><br/>  Email:  <input type='email' id='emailid' name='emailid' size='30'required/><br/>  Password:  <input type='password' id='pwd' name='pwd' size='30'required/><br/>  <input type='Submit'/>   <div id='content'> </div> </form> the above HTML Form uses post method and url servlet redirect to " ajaxformexample " Javascript Code  var form = $('#ajaxform'); // id of form tag  form.submit(function () {  $.ajax({  ...
46 comments
Read more

Java Swing MySql JDBC: insert data into database

By
Program import javax.swing.*; import java.awt.*; import java.awt.event.*; import java.sql.*; public class insertswing implements ActionListener {   JFrame fr;JPanel po;   JLabel l1,l2,main;   JTextField tf1,tf2;   GridBagConstraints gbc;   GridBagLayout go;   JButton ok,exit; public insertswing(){ fr=new JFrame("New User Data "); Font f=new Font("Verdana",Font.BOLD,24); po=new JPanel(); fr.getContentPane().add(po); fr.setVisible(true); fr.setSize(1024,768); fr.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE); po.setBackground(Color.WHITE); go=new GridBagLayout(); gbc=new GridBagConstraints(); po.setLayout(go); main=new JLabel("Enter User Details "); main.setFont(f); l1=new JLabel("Name  :");tf1=new JTextField(20); l2=new JLabel("User Name  :");tf2=new JTextField(20); ok=new JButton("Accept"); exit=new JButton("Exit"); gbc.anchor=GridBagConstraints.NORTH;gbc.gridx=5;gbc.gridy=0; go.s...
Post a Comment
Read more