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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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Guidewire Claim Insights in Databricks and Tableau - How many claims are there?

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 In this blog post, sharing guidewire claims how many claims got created per city  and per state basics


Databricks it is available here : Claim happened from most US State Insights data analytics Template V1.0 - Databricks


SQL Sample code 

select
AX.CITY,
count(AX.CLAIM_NUMBER) as TOTAL_CLAIMS_PER_CITY
from
(select distinct
C.CLAIMNUMBER as CLAIM_NUMBER,
ST.NAME as STATE,
ADDR.CITY
from
guidewire_raw_db.cc_claim C
left join guidewire_raw_db.cc_contact CONT on C.INSUREDDENORMID = CONT.ID
left join guidewire_raw_db.cc_address ADDR on CONT.PRIMARYADDRESSID = ADDR.ID
left join guidewire_raw_db.cctl_state ST on ADDR.STATE = ST.ID ) AX
group by AX.CITY
order by 2 desc

From these SQL Query Resultsets Feed into Tableau Public Edition






This Tableau Public view Available here 

https://public.tableau.com/views/Guidewire_Insurance_Claims_Insights_one/InsuranceClaimsPerCity?:language=en-US&:sid=&:redirect=auth&:display_count=n&:origin=viz_share_link





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