For any neural network, the training phase of the deep learning model is the most resource-intensive task While training, a neural network takes in inputs, which are then processed in hidden layers using weights that are adjusted during training and the model then spits out a prediction. Weights are adjusted...
In mathematics, the fundamental theorem of algebra contends that each non-constant single variable polynomial that has complex coefficients has more than one complex root (de Oliveira 753).
Even in ancient Greece: The so-called Pythagoreans, who were the first to take up mathematics, not only advanced this subject, but saturated with it, they fancied that the principles of mathematics were the principles of all things. – Aristotle, Metaphysica For thousands of years mathematics grew in a way that...
This is the personal notebook of Albert Einstein when he was developing the general theory of relativity. In it, one can see the various nuanced techniques which he used to help him with his theory. Although having a humongous arsenal of mathematical techniques he did struggle with the non Euclidean...
Quantum Supremacy Using a Programmable Superconducting Processor Physicists have been talking about the power of quantum computing for over 30 years, but the questions have always been: will it ever do something useful? For such large-scale endeavors it is good engineering practice to formulate decisive short-term goals that demonstrate whether...