This research proposes a serial of new mathematic and physics theoretical framework under a multidimensional focus. The main objective of this paper is to motivate scientists in various areas to use multidimensional coordinate spaces to complement the 2-Dimensional and 3-Dimensional coordinate...

Price dynamics of the asset depends on the collective action of buyers and sellers, including both institutional and private investors. A large number of diverse, sometimes contradictory, reasons can underlie the decisions of market participants. In certain periods, asset purchases can be a...

In recent academic and to some extent public debates, mainstream economics has been accused of excessive mathematization. The rejection of mathematical and other formal methods is often cited as a crucial trait of Austrian economics. Based on a systematic discussion of potential benefits and...

This volume – Predicting Crisis: Five Essays on the Mathematic Prediction of Economic and Social Crises – is the first of three sets of essays. In this first set the economic and social history of the United States is shown to be a “system of movement,” i.e. a logical and mathematic...

In Nature’s Law, Elliott explained that the Fibonacci sequence provides a mathematical basis of the wave principle. In The Wave Principle of Human Social Behavior and The New Science of Socionomics, Prechter explained how Fibonacci sequence exists at all those instances where growth is the...

In the previous papers, I have mentioned several times of HKLam Theory and their everyday usage but without the abstract mathematical proof. In order to remediate the flaws, I am now trying to proof the theory through both Tensor Algebra and Analysis as well as the statistical inference in this...

The critical role of free entry to correct inherent deviance behavior has been stressed by Vanek (1970), Meade (1972) amongst others. The equivalence theorem (Dreze 1976) defines that labour and entrepreneurial management both lead to the same Pareto optimal equilibrium provided that there is...

The paper proposes an original class of conditionally heteroskedastic models aimed to capture a new concept of asymmetry. Not only past up and down moves of stock market returns have different impacts on the conditional variance, but also, positive and negative changes are governed by different...