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Famous unsolved math problems

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There are several famous unsolved math problems that have puzzled mathematicians for many years. Some of the most well-known unsolved math problems include: The Riemann Hypothesis: Proposed by Bernhard Riemann in 1859, this conjecture relates to the distribution of prime numbers and suggests that all non-trivial zeros of the Riemann zeta function have a real part of 1/2. Despite extensive computational evidence supporting the conjecture, it remains unproven. The Birch and Swinnerton-Dyer Conjecture: Proposed in 1965, this conjecture relates to elliptic curves and their associated L-functions. It suggests that there is a deep connection between the number of rational points on an elliptic curve and the behavior of its L-function at a certain point. This conjecture remains open, and its resolution would have significant implications for number theory. The Navier-Stokes Existence and Smoothness: This problem involves the mathematical description of the motion of fluid flows and asks whe...
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BESS Tenders for Grid-Scale Energy Storage Adoption in India

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Introduction India’s energy landscape is undergoing a transformative shift. With over 50% of its installed power capacity now coming from non-fossil fuel sources—five years ahead of its 2030 target—the country is rapidly embracing renewable energy. However, the intermittent nature of solar and wind power presents significant challenges to grid reliability and energy dispatch. Battery Energy Storage Systems (BESS) have emerged as a critical solution to these challenges, and government-led tenders are playing a pivotal role in accelerating their adoption. Why Grid-Scale Energy Storage Is Essential India’s peak power demand surpassed 250 GW in 2024 and continues to rise. To maintain grid stability while integrating increasing volumes of renewable energy, robust energy storage solutions are essential. BESS enables: Load balancing  during peak and off-peak hours Frequency regulation  and grid stability Renewable energy dispatchability , ensuring power a...
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What is Fiscal Responsibility and Budget Management (FRBM) Act and its guidelines ?

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Here’s a comprehensive timeline and current status of the Fiscal Responsibility and Budget Management (FRBM) Act and its guidelines , from inception to the latest updates: 1. Origin and Purpose Proposed: 2000 by Finance Minister Yashwant Sinha. Enacted: 2003; implemented from July 2004 . Objective: Ensure fiscal discipline and macro-economic stability . Reduce fiscal deficit , revenue deficit , and public debt . Enhance transparency in fiscal operations. Initial Targets: Eliminate revenue deficit by 2008–09. Reduce fiscal deficit to 3% of GDP by 2008–09. 2. Key Features of FRBM Act Mandates presentation of: Medium-Term Fiscal Policy Statement Macroeconomic Framework Statement Fiscal Policy Strategy Statement with Union Budget. Prohibits borrowing from RBI except under exceptional circumstances. Introduced escape clause for ...
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GHG accounting and its emission factors

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Greenhouse Gas (GHG) Accounting involves quantifying emissions across different scopes (Scope 1, Scope 2, and Scope 3) and is typically guided by protocols such as the Greenhouse Gas Protocol. Here are the key formulas and approaches used in GHG accounting for each scope: 1. Scope 1: Direct Emissions Scope 1 includes direct emissions from sources owned or controlled by the organization (e.g., fuel combustion in company-owned vehicles, emissions from manufacturing processes). Formula for Combustion Emissions For fossil fuel combustion: Emissions = Activity Data × Emission Factor \text{Emissions} = \text{Activity Data} \times \text{Emission Factor} Emissions = Activity Data × Emission Factor Activity Data : Quantity of fuel used (e.g., liters of diesel, cubic meters of natural gas). Emission Factor : A coefficient that represents the emissions produced per unit of activity (e.g., kg CO₂ per liter of diesel). Example (CO₂ emissions from fuel): CO₂ Emissions = Fuel...
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Why the dislike button is removed in all the social media platforms?

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 The removal or absence of a dislike button on most social media platforms can be attributed to several reasons, primarily centered around user experience, mental health, and the dynamics of online interactions. Here's a detailed explanation: 1. Preventing Negativity and Harassment A dislike button could encourage negative behaviors, such as trolling or bullying. Users might use it to target individuals or content creators, leading to a toxic environment. Platforms aim to promote constructive engagement rather than actions that might demoralize users. 2. Mental Health Concerns Social media companies are increasingly aware of the impact their platforms have on mental health. Visible indicators of disapproval could harm users' self-esteem and lead to stress or anxiety, especially for younger or vulnerable audiences. 3. Focus on Constructive Feedback Platforms encourage users to give feedback in a constructive manner, such as through comments or reporting inappropriate content. A...
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