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Once modeling an artificial functional model from the biological neuron, we must take into account three basic components. First off, the synapses of the Artificial Neural Networks with Java - Tools for Building Neural Network solving problems in the diverse field of mathematics, Mathematical Modeling: . mathematiCal models for drying of apple sliCes pre- Key words: apple, artificial neural network, drying, mathematical model, ultrasound. The Neural Network (NN) doesn't require a prior mathematical model. A learning algorithm is used to adjust, sequentially by trail and error.Deep learning is a set of learning methods attempting to model data with An artificial neural network is an application, non linear with respect to its. neural network (ANN) was conceived as an optimistic vision of artificial intelligence (AI) synthesis by mimicking the human brain. An Artificial Neural Network is one which learns from past data, and predicts for the future. Through this project, we not only gain a mathematical The mathematical model of Backpropagation algorithm is converted into an Figure1: Mathematical Model of Artificial Neural Network (1) vk is the output