Mathematics


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parent of Homology

In mathematics, homology is a general way of associating a sequence of algebraic objects, such as abe...

parent of Category theory

Category theory formalizes mathematical structure and its concepts in terms of a labeled directed gra...

parent of Computer algebra system

A computer algebra system (CAS) or symbolic algebra system (SAS) is any mathematical software with th...

parent of Geometry

Geometry (from the Ancient Greek: γεωμετρία; geo- "earth", -metron "measurement") is, with arithmetic...

parent of Euler's identity

In mathematics, Euler's identity (also known as Euler's equation) is the equality e to the π i = -1,...

parent of Number theory

Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics dev...

mastered by Mathologer

Enter the world of the Mathologer for really accessible explanations of hard and beautiful math(s)....


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Resources

treated in A Fast Learning Algorithm for Deep Belief Nets

We show how to use complementary priors to eliminate the explaining-away effects that make inference...

treated in Visualizing Data using t-SNE

We present a new technique called “t-SNE” that visualizes high-dimensional data by giving each datapo...

treated in Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces

A new heuristic approach for minimizing possiblynonlinear and non-differentiable continuous spacefunc...

treated in Distribution of the Estimators for Autoregressive Time Series with a Unit Root

Abstract Let n observations Y 1, Y 2, ···, Y n be generated by the model Y t = pY t−1 + e t , where Y...

treated in A New Approach to Linear Filtering and Prediction Problems

The clssical filleting and prediclion problem is re-examined using the Bode-Shannon representation of...

treated in A note on two problems in connexion with graphs

We consider n points (nodes), some or all pairs of which are connected by a branch; the length of eac...

treated in Structural Equation Modeling in Practice: A Review and Recommended Two-Step Approach

In this article, we provide guidance for substantive researchers on the use of structural equation mo...

treated in A Wavelet Tour of Signal Processing

Introduction to a Transient World. Fourier Kingdom. Discrete Revolution. Time Meets Frequency. Frames...

treated in Neural Machine Translation by Jointly Learning to Align and Translate

Neural machine translation is a recently proposed approach to machine translation. Unlike the traditi...

treated in Alternative Ways of Assessing Model Fit

This article is concerned with measures of fit of a model. Two types of error involved in fitting a m...

treated in An Introduction to the Bootstrap

Introduction The Accuracy of a Sample Mean Random Samples and Probabilities The Empirical Distributio...

treated in Judgment under Uncertainty: Heuristics and Biases.

This article described three heuristics that are employed in making judgements under uncertainty: (i)...

treated in Compressed sensing

Suppose x is an unknown vector in Ropfm (a digital image or signal); we plan to measure n general lin...

treated in Building theories from case study research

Building Theories From Case Study Research - This paper describes the process of inducting theory usi...