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The Adventure by Jayant Narlikar is a science-fiction story that combines history, philosophy, and the idea of time travel. The story revolves around Professor Gangadhar Gaitonde, a well-known historian who is deeply interested in Indian history, especially the Third Battle of Panipat. While travelling by train to Bombay, Gaitonde is thinking about how history might have changed if the Marathas had won the battle against Ahmed Shah Abdali instead of losing it as recorded in real history. Suddenly,...

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maths 1

Q1.  Cayley-Hamilton Theorem - Verify and Find Inverse Problem: Verify Cayley-Hamilton theorem for A and find A-1:
A = [[2,1,1], [0,1,0], [1,1,2]] 

Step 1: Find Characteristic Equation |A - λI| = 0

A - λI = [[2-λ, 1, 1], [0, 1-λ, 0], [1, 1, 2-λ]]

Expand along 2nd row (has two zeros - easier!):

|A - λI| = (1-λ) × |[2-λ, 1], [1, 2-λ]|
= (1-λ) × [(2-λ)(2-λ) - 1×1]
= (1-λ) × [(2-λ)2 - 1]
= (1-λ) × [4 - 4λ + λ2 - 1]
= (1-λ)(λ2 - 4λ + 3)
= (1-λ)(λ-1)(λ-3)
= -(λ-1)2(λ-
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ISHOD 1 – Upravljanje poslovnim učinkom

1. Područja / metode / tehnike poslovne inteligencije (5) Izvještavanje (Reporting) – služi za prikaz povijesnih podataka kroz standardne i ad-hoc izvještaje te omogućuje praćenje osnovnih poslovnih pokazatelja. OLAP analiza – omogućuje višedimenzionalnu analizu podataka i dublje razumijevanje poslovnih rezultata kroz drill-down i roll-up operacije. Dashboardi i vizualizacija – pružaju vizualni prikaz ključnih pokazatelja performansi (KPI)

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POC-I

1.ISOMERISM:-The organic compounds having the same molecular formula but having different structural formula or we can say having different physical and chemical properties are called Isomers and the phenomenon is known as Isomerism. Classification of Isomerism:-Isomerism are classified into two categories:-1.Structural 2.Isomerism Stereoisomerism (ISOMERISM)-(Structural Isomerism)-Chain Isomerism, Position Isomerism, Functional Isomerism, Ring- Chain Isomerism,Metamerism, Tautomerism.(Stereoisomerism)

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POC-Ii

BENZENE is an organic, colourless chemical compound.It is a highly flammable liquid with a sweet smell e high melting point.The chemical formula of benzene is CGHE, so it contains 6 carbon 6 hydrogens, also known as Hydrocarbon.It has a boiling point of 80°c e is lighter than water.Natural sources of benzene includes volcanoes forest fires.It is also a natural part of crude oils.Benzene and all those compounds which resembles benzene in their chemical behaviour are known as Aromatic Compounds.Benzene

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British History

People often call the UK “Britain” or even “England,” but that is not strictly right: England is only one of four nations (England, Scotland, Wales, and Ireland), and the full political union was completed by 1800.

Historically, these nations differed ethnically: Ireland, Wales, and the Scottish Highlands were mainly Celtic, while England and the Scottish Lowlands were mostly of Germanic origin.

These differences showed up in languages (Irish, Gaelic, Welsh versus Germanic dialects that

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english

1. Tonality, tonicity, and tone — meanings and relevance · Tonality: Refers to the segmentation of speech into Intonation Phrases (IPs). It's about where the boundaries (pauses, pitch breaks) are placed. Changing tonality changes meaning. · Relevance: Determines the chunk of speech over which a pitch pattern operates. · Tonicity: Refers to the placement of the nucleus (the main pitch movement) within an Intonation Phrase. · Relevance: Indicates the focus or information structure. · Tone:

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Marketing

Definition of Marketing

Marketing is the process of identifying the needs and wants of customers and satisfying them by providing suitable products and services. It includes all activities such as product planning, pricing, promotion, and distribution that help in delivering goods and services from producers to consumers. The main aim of marketing is to create value for customers and build long-term relationships with them.

In simple words, marketing is not only about selling products but also...

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Accounting Cheat Sheet V2

[ADJUSTED TRIAL BALANCE FORMAT] [Debit Accounts] Cash / Accounts Receivable / Interest Receivable / Notes Receivable (short-term) / Supplies / Prepaid Insurance / Prepaid Rent / Merchandise Inventory / Debt Investments (short-term) / Land / Buildings / Equipment / Vehicles / Patents / Copyrights / Trademarks / Goodwill / Dividends / Cost of Goods Sold / Wages Expense / Salaries Expense / Depreciation Expense—Buildings / Depreciation Expense—Equipment / Insurance Expense / Utilities Expense /

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