![]() Furthermore, Sisyphus derives great satisfaction from the opportunity to lend his assistance to Zagreus whenever feasible. The fortuitous alteration of his sentence permits him to dedicate his days to ceaselessly pushing Bouldy, shielded from the Furies' merciless lashes. ![]() His decision predominantly stems from his unwavering attachment to Bouldy, as he refuses to venture anywhere without the company of his trusted stone companion. Zagreus comes across a prisoner chained to a large rock in the Underworld, who is also attempting to escape his imprisonment.Īfter Zagreus grants Sisyphus his freedom from the terms of his contract, Sisyphus consciously elects to remain in his current position. His eternal punishment is to push a boulder up a hill, only for it to roll back down, and he must repeat this task endlessly. Sisyphus is the former king of Corinth who cheated death twice before his crimes caught up with him, and he was sent to Tartarus. Despite his lifeless state, the arduous effort and relentless whipping have left visible scars on his body, witnessing the enduring torment he endures. His olive-brown hair is adorned on his head by a golden tiara resting on his forehead. Sisyphus is a robust man chained to a rock ( Bouldy), dressed in tattered green clothes. Hades Review – The Long, Hard Road Out of Hellġ7 September 2020 Physical description Sisyphus had nothing left to lose, so he reflected so much that he became a decent person, despite still trying to escape routinely. Misery builds character, implying that before his punishment, Sisyphus used to be a tyrant king, manipulative, and selfish, an intolerable individual, a poor king who had no fear of his own arrogance and considered himself smarter than the gods themselves. He has memorized the entire map of Hades due to his constant attempts to escape, making him an invaluable resource for Zagreus. Sisyphus provides tips whenever he can, considering Zagreus to be "more or less" similar to himself. The former king is very persistent, even more than Zagreus, and his insights and advice are often helpful and greatly aid Zagreus in his escape attempts. Despite this, he has embraced his useless work with enthusiasm and even invaluable befriended the rock he pushes, which he nicknamed "Bouldy," indicating that Sisyphus may have gone mad over time, because he is talking to a stone. He is quite observant and often gossips about various underworld subjects, although he is often forced into routine by the lashes of the Furies, he still remains friendly, including with them, and lives a life of ostracism and solitude. Sisyphus seems to fully understand a rock named " Bouldy" and considers it a good friend and confidant. The former king of Corinth, despite his eternal punishment of pushing a rock up a hill only to watch it roll back down every day, Sisyphus remains positive, kind, helpful, cheerful, and friendly. Sisyphus is immune to damage, though he will respond if Zagreus takes a swing at him or Bouldy regardless. He can only appear once during each escape attempt. ![]() During these meetings, Sisyphus will offer Zagreus a choice between, 50-55 or 100. Zagreus can sometimes encounter Sisyphus taking a break from boulder-pushing while making his way through Tartarus. He refers to his boulder as " Bouldy", treating "him" as a friend and confidante, and speaks quite casually with Zagreus, whom he typically calls "Prince Z. In spite of his never-ending punishment, Sisyphus is generally good-humoured and polite, having had ample time to reflect on his deeds in life. The Furies - and Megaera in particular - torment him as he attempts to push the boulder, though with Zagreus' recent escape attempts, they appear to be slacking on this particular duty. His punishment is to roll a boulder up a steep hill the boulder, however, always rolls back down the hill before he reaches the top, despite his best efforts. He succeeded twice, each time only temporarily before the consequences caught up with him. Sisyphus is a former king sentenced to an eternity of punishment within Tartarus for attempting to cheat death. ![]() Within the depths of Tartarus reside the most wretched of all the shades who linger for eternity within the Underworld, whose Lord and Master is especially unkind to those attempting to cheat death. ![]()
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So when we reverse the operation (to find the integral) we only know 2x, but there could have been a constant of any value. and the derivative of x 2+99 is also 2x,īecause the derivative of a constant is zero.and the derivative of x 2+4 is also 2x,. ![]() It is there because of all the functions whose derivative is 2x: The symbol for "Integral" is a stylish "S"Īfter the Integral Symbol we put the function we want to find the integral of (called the Integrand),Īnd then finish with dx to mean the slices go in the x direction (and approach zero in width). Integration can sometimes be that easy! Notation That’s all for this article, hope you enjoyed the reading.That simple example can be confirmed by calculating the area:Īrea of triangle = 1 2(base)(height) = 1 2(x)(2x) = x 2 Lot of theories are based on game theory, so again calculus is used here. The whole concept of variational inference is based on variational calculus, so it is another use of calculus. 4.Variational Inference and related techniques One must use integration to calculate these types functions. 3.Bayesian Methods using probability density functions This is used to train models, given a dataset, that will be used to perform anything from inference to data generation and other related stuff. Again, calculus plays a major role in computations. Gradients analyze how much change occurs in output if you perform an infinitesimal small change in input. Calculus in used in many stuffs in machine learning- 1. These are four pillars of machine learning without knowing these things you can’t move forward to the journey of a machine learning developer. These packages are necessary for implementing the functions. ![]() Here is my Jupyter link- tap here to run the functions. Let’s implement differentiation and integration functions in python via jupyter notebook. In machine learning, we also find inputs which best match the data. Remember That,Understanding calculus is somehow central to understanding machine learning! You can think of calculus as a set of tools that analyze the relationship between functions and their domain (valid inputs). What is calculus? fundamentals of calculus : – Integral calculus – Moreover, it joins or integrates the small pieces together and analyzes it to get how much total is there.Īdditionally, I will recommend you to watch this video for complete understanding of the basics of calculus. However, The word Calculus comes from Latin word meaning “small stone”,īecause it is like recognizing something by looking at small pieces.ĭifferential calculus – basically we can say, it divides something in small pieces and analyzes the change at instant or on average in independent axis i.e time, in most of the cases. Where f’(t) represents the differentiation of f(t). Calculus is divided into 2 parts:-įrom the above two examples, we are clear that they are somehow opposite of one another. It also called slope or tan at a particular moment of time. Also, in this article, I have provided a basic knowledge of differentiation and integration and completing them in python programming.Īlso, calculus is a part of mathematics that deals with the rate of change of any quantity. but once you understand step-by-step it will be very easy for you. Calculus is a huge topic, and the crossing of calculus in machine learning is also vast. ![]() ![]() ![]() ★★★★★ Beautiful app, love the design and filters! ★★★★★ What an app! 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