7 citations · 24 across the 10 of their papers we have counts for
10 papers
A Classification of Elements of Sequence Space
Mohsen Soltanifar
The sequence space of all real-valued sequences, denoted , is typically investigated through the lens of infinite-dimensional vector spaces, utilizing Banach space…
Descriptions of Cantor Sets: A Set-Theoretic Survey and Open Problems
Mohsen Soltanifar
This survey synthesizes the principal descriptive set-theoretic perspectives on deterministic Cantor sets on the real line and charts directions for future study. After recounting…
A Classification of Elements of Function Space
Mohsen Soltanifar
In this paper, we classify the function space of all real-valued functions on R denoted as F(R, R) into 28 distinct blocks. Each block contains elements that share common features…
The Second Generalization of the Hausdorff Dimension Theorem for Random Fractals
Mohsen Soltanifar
In this paper, we present a second partial solution for the problem of cardinality calculation of the set of fractals for its subcategory of the random virtual ones. Consistent wit…
The AL-Gaussian Distribution as the Descriptive Model for the Internal Proactive Inhibition in the Standard Stop Signal Task
Mohsen Soltanifar, Michael Escobar, Annie Dupuis +2
Measurements of response inhibition components of reactive inhibition and proactive inhibition within the stop signal paradigm have been of special interest for researchers since t…
A Bayesian Mixture Modelling of Stop Signal Reaction Time Distributions
Mohsen Soltanifar, Michael Escobar, Annie Dupuis +1
The distribution of single Stop Signal Reaction Times (SSRT) in the stop signal task (SST) as a measurement of the latency of the unobservable stopping process has been modeled wit…
A Generalization of the Hausdorff Dimension Theorem for Fractals
Mohsen Soltanifar
How many fractals exist in nature or the virtual world In this work, we partially answer the second question using Mandelbrots fundamental definition of fractals and their quantiti…
Some Results on the Additivity and Multiplication Order Preserving Properties of Stochastic Orders
Mohsen Soltanifar
In this paper, we consider the problem of order preservation under addition and multiplication operators over the vector space of univariate real-valued random variables. Consisten…
On Operator-valued Semicircular Random Variables
Mohsen Soltanifar
In this paper, we discuss some special properties of operator- valued semicircular random variables including representation of the Cauchy transform of a compactly supported probab…
Cayley's hyperdeterminant: a combinatorial approach via representation theory
Murray R. Bremner, Mikelis G. Bickis, Mohsen Soltanifar
Cayley's hyperdeterminant is a homogeneous polynomial of degree 4 in the 8 entries of a 2 x 2 x 2 array. It is the simplest (nonconstant) polynomial which is invariant under change…