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The Indian Budget 2023-24: What It Means for Salaried Individuals

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The recent Indian Budget 2023-24 has many exciting announcements for the hard-working middle class, including those who are salaried individuals. In this article, we'll take a closer look at the key changes and benefits for salaried people and how they can potentially save on taxes. Tax Rebate: The Limit Has Been Increased The first major announcement is related to the tax rebate. Previously, individuals with an income of up to ₹5 lakhs were not required to pay any income tax in both the old and new tax regimes. However, the budget has increased this limit to ₹7 lakh for individuals in the new tax regime, which means that individuals with an income up to ₹7 lakh will not have to pay any income tax. Reduced Tax Slabs and Increased Tax Exemption Limit In 2020, the government introduced a new personal income tax regime with six income slabs starting from ₹2.5 lakh. This year's budget has reduced the number of slabs to five and increased the tax exemption limit to ₹3 lakh. This mea...
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Understanding Cymatics: The Science of Sound and Vibration

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Cymatics is a fascinating field that explores the relationship between sound and vibration and how they affect matter. It's a relatively new science that has recently gained recognition as its own distinct discipline. In this article, we'll dive into cymatics and cover everything from its history and basics to its practical uses. Get ready to be amazed by the power of sound! History: "Cymatics" is derived from the Greek word "kyma," which signifies "wave." Cymatics has its origins in ancient times, when philosophers and scientists such as Aristotle and Leonardo da Vinci examined the effects of sound and vibration on various materials. However, it was Swiss physicist Hans Jenny who formally established cymatics as an area of study in the 20th century.  Jenny conducted sound and vibration experiments and documented the patterns that occurred from their interactions with various substances such as sand, liquids, and gases. Principles: Cymatics...
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GATE Syllabus for Mechanical Engineering - ME

Engineering Mathematics Linear Algebra:  Matrix algebra, Systems of linear equations, Eigen values and eigen vectors.  Calculus:  Functions of single variable, Limit, continuity and differentiability, Mean value theorems, Evaluation of definite and improper integrals, Partial derivatives, Total derivative, Maxima and minima, Gradient, Divergence and Curl, Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Greens theorems. Differential equations:  First order equations (linear and nonlinear), Higher order linear differential equations with constant coefficients, Cauchys and Eulers equations, Initial and boundary value problems, Laplace transforms, Solutions of one dimensional heat and wave equations and Laplace equation.  Complex variables:  Analytic functions, Cauchys integral theorem, Taylor and Laurent series. Probability and Statistics:  Definitions of probability and sampling theorems, Conditional ...
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