Remembering #Ramanujan: An extraordinary mind:
It was exactly 103 years ago (26th April 1920)on this very day, at around 10:30 am, when the brilliant Srinivasa Ramanujan took his final breath in a bungalow behind Pachaiyappa's College in Chennai. (1/5)
In those heartbreaking final days of April 1920, every effort was made to provide him with the best medical care possible. Even though Ramanujan left us far too soon, his spirit continues to live on, touching our hearts through the immense impact of his mathematical genius. (2/5)
For almost a century, Ramanujan has been a beacon of inspiration for so many, from young boys gazing at the stars to seasoned researchers pushing the boundaries of knowledge. His awe-inspiring achievements in (3/5)
England has instilled hope and belief in generations of mathematicians, paving the way for their own accomplishments. Today, Ramanujan's name symbolised mathematical excellence in India, shining brightly in every household. His extraordinary contributions to the world. (4/5)
and the inspiration he continues to provide, makes him truly deserving of the Bharat Ratna, even if posthumously. We remember him with admiration, gratitude, and a profound loss for the extraordinary life tragically cut short. (5/5)
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The significance of #mathematics in #cryptography is immense. 𝐂𝐫𝐲𝐩𝐭𝐨𝐠𝐫𝐚𝐩𝐡𝐲 involves the process of transforming messages to ensure secure communication. In this thread, we'll explore the integral role of math within cryptography & present some relevant equations (1/9)
One of the simplest examples of cryptography is the Caesar cipher, which shifts the letters of the alphabet by a fixed number. The encryption function can be written as: E(x) = (x + k) mod 26, where x is the letter's position, k is the shift, and mod is the modulo operation.(2/9)
Public-key cryptography is a more advanced technique that relies on mathematical concepts. RSA, a widely-used public-key cryptosystem, involves the generation of two large prime numbers, p and q. Their product, n = p * q, is used in encryption and decryption.(3/9)
"𝐈𝐧𝐟𝐢𝐧𝐢𝐭𝐲 𝐦𝐢𝐧𝐮𝐬 𝐢𝐧𝐟𝐢𝐧𝐢𝐭𝐲 𝐬𝐭𝐢𝐥𝐥 𝐞𝐪𝐮𝐚𝐥𝐬 𝐢𝐧𝐟𝐢𝐧𝐢𝐭𝐲"
ॐ पूर्णमदः पूर्णमिदम् पूर्णात् पूर्णमुदच्यते |
पूर्णस्य पूर्णमादाय पूर्णमेवावशिष्यते ||'
Mantra: Absolute Reality is infinite and whole
This is my interpretation.
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That shanti-mantra is from the Hindu scripture, the 'ishopanishad', and is known as the 'Purnamadah Mantra'. It is a beautiful and profound expression of the concept of infinity or the absolute reality, also known as Brahman, in Hindu philosophy.
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The mantra states that the Absolute Reality is infinite and whole - "Om, That is infinity, This is infinity; From is infinity; from that infinity, this infinity comes. From That infinity, this infinity is removed or added; infinity remains infinite."
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In this thread, I will offer a comprehensible overview of the mathematics underpinning 𝗤𝘂𝗮𝗻𝘁𝘂𝗺 𝗰𝗼𝗺𝗽𝘂𝘁𝗶𝗻𝗴. We will explore topics such as complex numbers, qubit states, tensor products, unitary transformations, measurement, and entanglement.
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💥𝗖𝗼𝗺𝗽𝗹𝗲𝘅 𝗡𝘂𝗺𝗯𝗲𝗿𝘀: Essential to quantum computing, complex numbers are written as z = a + bi, where a and b are real numbers and i is the imaginary unit (i² = -1). Complex numbers are crucial for representing quantum states and their amplitudes.
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🌐 𝗤𝘂𝗯𝗶𝘁 𝗦𝘁𝗮𝘁𝗲𝘀: In quantum computing, a qubit is a 2-dimensional complex vector represented as |ψ⟩ = α|0⟩ + β|1⟩. α and β are complex coefficients (amplitudes) with |α|² + |β|² = 1, unlike classical bits (0 or 1), qubits exhibit superposition. 3/n
In this short thread, I aim to share my thoughts on one of the best movies and one of my favourites, '𝐀 𝐁𝐞𝐚𝐮𝐭𝐢𝐟𝐮𝐥 𝐌𝐢𝐧𝐝,' as it aligns with my keen interest in movies centered around mathematics and physics. 1/n
This is a 2001 biographical drama film that tells the story of mathematician John Nash, who suffers from schizophrenia and struggles to distinguish between reality and hallucinations. The movie had a profound impact on audiences and raised awareness about mental illness. 2/n
The movie was a critical and commercial success, winning four Academy Awards, including Best Picture, and earning praise for its sensitive portrayal of mental illness. It helped to break down stigmas surrounding mental health and encouraged more open discussion of the issue.
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𝐌𝐢𝐥𝐥𝐞𝐧𝐢𝐮𝐦 𝐩𝐫𝐢𝐳𝐞 𝐩𝐫𝐨𝐛𝐥𝐞𝐦𝐬:
In this brief overview, I attempt to provide concise explanations of the Millennium Prize Problems in mathematics. By successfully solving one of these problems, you would be eligible to receive a million-dollar prize.
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The Millennium Prize Problems are a set of seven unsolved problems in mathematics that were announced by the Clay Mathematics Institute (CMI) on May 24, 2000.
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The CMI established these problems to highlight some of the most challenging and important open questions in mathematics and to inspire progress in the field. A cash prize of $1 million is awarded for each problem that is solved, subject to the CMI's rules and criteria.
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In this short analysis, I try to explore the distinctions between Advaita and Visishtadvaita philosophies, examining their differences through the lens of the ancient Indian schools of thought known as Poorva Mimamsa and Uttara Mimamsa.
a thread...Please retweet. 1/n
सदाशिव समारम्भाम् शंकराचार्य मध्यमाम्।
अस्मद् आचार्य पर्यन्ताम् वंदे गुरु परम्पराम्।।
लक्ष्मीनाथ समारम्भां नाथयामुनमध्यमाम्।
अस्मदाचार्य पर्यन्तां वन्दे गुरु परम्पराम्।।
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Advaita and Vishishtadvaita are two major philosophical schools within the Vedanta tradition, which is a part of the broader Indian philosophical system. Vedanta is based on the interpretation of the Upanishads, the Bhagavad Gita, and the Brahma Sutras.
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