Standard Identities

begin{equation} label{eq:poly}(a + b)^2=a^2+b^2+2abend{equation} begin{equation} label{eq:poly}(a – b)^2=a^2+b^2-2abend{equation} begin{equation} label{eq:poly}(a + b)^3=a^3+3a^2b+3ab^2+b^3end{equation} begin{equation} label{eq:poly}(a + b)^3=a^3+b^3+3ab(a+b)end{equation} begin{equation} label{eq:poly}(a – b)^3=a^3-3a^2b+3ab^2-b^3end{equation} begin{equation} label{eq:poly}(a – b)^3=a^3-b^3-3ab(a-b)end{equation} begin{equation} label{eq:poly}(a + b+c)^2=a^2+b^2+c^2+2ab+2bc+2acend{equation} begin{equation} label{eq:poly}a^3+b^3+c^3-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ac)end{equation} if then  begin{equation} label{eq:poly}a^3+b^3+c^3=3abcend{equation} begin{equation} label{eq:poly}a^3+b^3=(a+b)(a^2-ab+b^2)end{equation} begin{equation} label{eq:poly}a^3-b^3=(a-b)(a^2+ab+b^2)end{equation} begin{equation} label{eq:poly}(a + b)(a-b)=a^2-b^2end{equation} begin{equation} label{eq:poly}(x+a)(x+b)=x^2+(a+b)x+abend{equation} begin{equation} label{eq:poly}(x+a)(x-b)=x^2+(a-b)x-abend{equation} begin{equation} label{eq:poly}(x-a)(x+b)=x^2+(b-a)x-abend{equation} begin{equation} label{eq:poly}(x-a)(x-b)=x^2-(a+b)x+abend{equation}  

KPI vs Metrics: A Concise Guide for Business Decision-Making

In today’s data-driven business environment, filtering relevant data is crucial for making informed decisions. This is achieved through Key Performance Indicators (KPIs) and metrics. While all KPIs are metrics, not all metrics qualify as KPIs. KPIs (Key Performance Indicators): KPIs measure performance based on specific business goals and objectives. They are strategic indicators that impact […]

pytest

Naming Template All test files name should start with test_* All methods within test file should start with test_* Each method is considered as one test case. The name of the class should start with Test* Run test files Run all test files in the test directory in the verbose mode and also print the […]

Selenium

Start a Chrome Browser Selenium webdriver does not invoke browser directly There is chrome driver service work as an agent between the webdriver and the browser. This service invoke the chrome browser. For every version of Chrome browser, there exist a corresponding Chrome driver. Selenium version 4 onwards, it support downloading the corresponding Chrome driver […]

Negotiation <b ook>

Apology and First Name Use apology and the first name – During the disagreement it seeds more warmth into the interaction and help to continue the negotiation.  Calibrated open ended question – Such questions have no fixed answer & it buys you time. Such question give your counterpart the illusion of control that they are […]

Word Power

quid-pro-quo : Service in exchange of service tough as nail : Very tough laser focus: Extreme focus decorated officer : any govt officer in higher post talk one’s way out of (something) : to avoid something unpleasant or undesirable by saying things to make other people forgive or excuse. e.g He talked his way out […]

Personal Branding on LinkedIn: A Guide to Stand Out and Succeed

In today’s digital age, LinkedIn isn’t just a platform to find jobs—it’s a space to build your professional brand, showcase your unique value, and connect with like-minded individuals. Personal branding on LinkedIn is crucial for anyone looking to make a significant impact in their industry. This guide will walk you through the essentials of creating […]

Art of Negotiation for Your Service

Developing a Sales Focused Mindset Handle the initial meeting with the client You have joined the scheduled meeting (e.g Zoom call.) with the client and don’t find anyone in the meeting. Don’t see any message from the client about the delay.  Don’t wait for than 3 mins in that call. Disconnect the call and drop […]

Pandas & Numpy

NumPy NumPy (or Numpy) is a Linear Algebra Library of Python Almost all libraries in the PyData Ecosystem rely on Numpy as one of their main building blocks Numpy is incredibly fast, as it has binding to C libraries Numpy arrays have two flavours: Vectors and Matrices Vectors are strictly 1D arrays and matrices are […]

Prompt Engineering

Ask GPT to simulate a professional (Persona) Before asking the question define the persona for GPT. e.g If I need some maths advice, I’d ask GPT to ‘act as a math professor’ to be more precise ‘act as mathematics professor who specialises in discrete mathematics’ This is called framing i.e we frame GPT into a […]