Infinite Nested Radicals - A Way to Express All Quantities Rational, Irrational Transcendental By a Single Integer Two

This paper proves that all mathematical quantities including fractions, roots or roots of root, transcendental quantities can be expressed by continued nested radicals using one and only one integer 2. A radical is denoted by a square root sign and nested radicals are progressive roots of radicals. Number of terms in the nested radicals can be finite or infinite. Real mathematical quantity or its reciprocal is first written as cosine of an angle which is expanded using cosine angle doubling identity into nested radicals finite or infinite depending upon the magnitude of quantity. The finite nested radicals has a fixed sequence of positive and negative terms whereas infinite nested radicals also has a sequenceof positive and negative terms but the sequence continues infinitely. How a single integer 2 can express all real quantities, depends upon its recursive relation which is unique for a quantity. Admittedly, there are innumerable mathematical quantities and in the same way, there are innumerable recursive relations distinguished by combination of positive and negative signs under the radicals. This representation of mathematical quantities is not same as representation by binary system where integer two has powers 0, 1, 2, 3…so on but in nested radicals, powers are roots of roots

The God Delusion, and the Damage It Does to Society

This article presents the scientific approach to life and living. So far as science is concerned, God is an unnecessary hypothesis; a failed hypothesis. Its prevalence, even among many professional scientists, has done much damage to society. The atheist's worldview is presented, and the need for adopting it is stressed

Phonemer at WNUT-2020 Task 2: Sequence Classification Using COVID Twitter BERT and Bagging Ensemble Technique based on Plurality Voting

This paper presents the approach that we employed to tackle the EMNLP WNUT-2020 Shared Task 2 : Identification of informative COVID-19 English Tweets. The task is to develop a system that automatically identifies whether an English Tweet related to the novel coronavirus (COVID-19) is informative or not. We solve the task in three stages. The first stage involves pre-processing the dataset by filtering only relevant information. This is followed by experimenting with multiple deep learning models like CNNs, RNNs and Transformer based models. In the last stage, we propose an ensemble of the best model trained on different subsets of the provided dataset. Our final approach achieved an F1-score of 0.9037 and we were ranked sixth overall with F1-score as the evaluation criteria

Field Strength of Soils in Relation to Texture and Moisture Content

Strength profiles of in situ soil representing different textual groups except silt have been established by measuring cone index values at the surface and thereafter successive depth intervals of 3 inch upto a maximum depth of 24 inches at 92 sites during dry and wet seasons. In wet state clayey and silty soils lose nearly half of their original strength. Most soil types show a progressive increase in strength with increase in depth in both dry and wet states

The God Delusion, and the Damage It Does to Society

207-218This article presents the scientific approach to life and living. So far as science is concerned, God is an unnecessary hypothesis; a failed hypothesis. Its prevalence, even among many professional scientists, has done much damage to society. The atheist's worldview is presented, and the need for adopting it is stressed