Philosophy And Lifestyle

Greetings, readers!  Imagine you are on a road trip and it is going very smoothly, you're travelling over smooth roads at a beautiful hill while watching the sunset. Now let's imagine you're going off-roading, revving the engine of your beautiful rally car and going through bumps, holes and jumps enjoying the thrill of it. This gives a clear picture of continuous and discontinuous functions. When you have smooth unbreaking lines with no jumps or interruptions, that represents continuous functions, whereas the lines with breaks, jumps represent discontinuous functions. We can also relate this with a thread, you can trace the entire length of the thread without any interruptions, just like you can draw the graph of a continuous function without lifting your pen. And any graph in which you must lift your pen to continue drawing it, is graph of a discontinuous function. Greek Philosophy and Continuity Now, We are back with Greek's contribution to calculus. The concept of co...

 Greetings ! Folks, have you ever wondered how you can never achieve absoluteness in this world? Like speed of light cannot be attained by anything with mass... Or how you can never actually touch things? Yes, it is true, the electrons around your entire body have repulsion and so they don't allow anything to actually touch you. Quite interesting right? It is surprisingly similar to limit functions not being able to reach to the value they are trying to, let alone going beyond it... I always found these science facts really interesting and i notice similarities to them in mathematic concepts too now! I got reminded of limits once when i was trying to zoom into a really high quality pic and it wouldn't stop to zoom, i just couldn't reach the end of it. I felt very limited at that moment (pun intended). So this is how I related to limits, i find this topic very amusing. Let's talk some more about the history of limits Greek Philosophy and Mathematics Zeno, a pre-Socratic...

Greetings, readers! In today's fast-paced world, it's easy to neglect our health and fitness. But this doesn't change the importance of staying fit and healthy. Feeling good on the inside is the secret to happy and fulfilling life. A balanced approach to this can transform your overall well-being. Why Fitness Matters Staying fit has benefits not only limited to appearance but complete holistic growth. It helps you become more disciplined in your life, which is the key to success in any field. Furthermore, it fortifies you mentally, since you are fighting your mind every single day to do something consistently. Once you have that mindset, there is no stopping you. Physical benefits Exercising regularly helps you in getting healthier and more fit, and starting to look and feel better. Along with this, It lowers the risk of illness and gives a boost to your immunity system.  Mental benefits There is immense mental growth in consistently exercising to stay fit. Helps in gaining...

Hey folks! Today, i did a bit of a deep dive into something that may sound simple and familiar but is much more powerful than it seems. We will be talking about... the world of matrices! Yes, I know exactly what you are thinking, but trust me, matrices aren't just something from your maths class. It is so much more than that. Recently, I’ve been doing some exploring on my own (with a little help from my seniors and friends) and I’ve come across some really cool real-world applications that go far beyond the curriculums of our colleges/courses. So, a matrix is basically an array of numbers arranged in rows and columns. We all use computers and mobiles in our daily lives and sit in rows and columns in classrooms and events..... All these situations are nothing but examples of applications of use matrices! It is that simple. There’s a whole universe of applications hidden within these simple structures. Cryptography – Securing Our Data I first got to know about how matrices are used i...