Search Subject Areas | Preprints.org

Preprint ARTICLE | doi:10.20944/preprints202404.0824.v1

Parametric asymptotic expansions and confluence for Banach valued solutions to some singularly perturbed nonlinear q-difference-differential Cauchy problem

Stephane Malek

Subject: Computer Science And Mathematics, Analysis Keywords: Asymptotic expansion, confluence, formal power series, partial differential equation, q-difference equation

Online: 12 April 2024 (07:02:53 CEST)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202404.0008.v1

An Automatic Near-Duplicate Video Data Cleaning Method Based on a Consistent Feature Hash Ring

Yi Qin, Ou Ye, Yan Fu

Subject: Computer Science And Mathematics, Analysis Keywords: Video cleaning; consistent feature hash ring; feature distance means; mountain peak function; multi-head attention mechanism; near-duplicate videos

Online: 1 April 2024 (09:49:59 CEST)

Show abstract| Download PDF| Share

In recent decades, with the ever-growing scale of video data, near-duplicate videos continue to emerge. Data quality issue caused by near-duplicate videos is becoming more and more prominent, which has affected the application of normal videos. Although current studies on near-duplicate video detection can be helpful to uncover data quality issues for videos, they still lack a process of automatic merging for the video data represented by high-dimensional features, which are difficult to automatically clean the near-duplicate videos to improve data quality for video datasets. At present, there are few studies on near-duplicate video data cleaning. The existing studies have the sensitive problems of video data orderliness and clustering initial center under a condition that prior distribution is unknown, which seriously affect the accuracy of near-duplicate video data cleaning. To address the above issues, an automatic near-duplicate video data cleaning method based on a consistent feature hash ring is proposed in this paper. First, a residual network with convolutional block attention modules, a long short-term memory deep network, and an attention model are integrated to construct an RCLA deep network with the multi-headed attention mechanism to extract spatiotemporal features of video data. Then, a consistent feature hash ring is constructed, which can effectively alleviate the sensitivity of video data orderliness while providing a condition of near-duplicate video merging. To reduce the sensitivity of the initial cluster centers to results of near-duplicate video cleansing, an optimized feature distance-means clustering algorithm is constructed by utilizing a mountain peak function on a consistent feature hash ring, which can implement automatic cleaning of near-duplicate video data. Finally, experiments are conducted based on a commonly used dataset named CC_WEB_VIDEO and a coal mining video dataset. Compared with some existing works, simulation results demonstrate that the performance of the proposed method.

Preprint CONCEPT PAPER | doi:10.20944/preprints202307.0560.v20

Meaningfully Averaging Unbounded Functions

Bharath Krishnan

Subject: Computer Science And Mathematics, Analysis Keywords: expected value; hausdorff measure; (Exact) dimension function; function space; prevalent and shy sets; entropy; choice function

Online: 27 March 2024 (09:10:36 CET)

Show abstract| Download PDF| Share

In this paper we want meanignfully average an "infinite collection of objects covering an infinite expanse of space". For any n∈ ℕ, set A⊆ℝⁿ and set B⊆ℝ where (A,P) is a Polish space, we illustrate this quote with an everywhere, surjective function f∶A→B. The problem is no meaningful expected value of f (e.g., w.r.t the Lebesgue or Hausodorff measure) on Borel sets has a finite value, since the graph of f in any n-dim. interval which covers a subset of A×B has countably infinite points. (The Hausdorff measure of countably infinite points is +∞, where the expected value of f is undefined due to division by infinity.) To fix this, we need the most generalized and "meaningful" expected value; however, consider the following issue. Suppose for n∈ ℕ, set A⊆ℝⁿ and function f∶A→ℝⁿ. If set A is Borel; B* is the set of all Borel measurable function in ℝᴬ for all A⊆ℝⁿ, and B** is the set of all f∈B* with a finite-valued expected value—w.r.t the Hausdorff measure—then B** is a shy subset of B*. Hence a "positive measure" of Borel measurable functions needs to have a finite expected value to increase the chance that everywhere, surjective f:A→B has a finite expectation. To fix this issues, we wish to find a unique and "natural" extension of the expected value—w.r.t the Hausdorff measure—on bounded functions to unbounded/bounded f, which takes finite values only, so B** is a non-shy subset of B*. Note, we haven't found evidence suggesting mathematicians have thought of this problem; however, it's assumed, in general, there's no meaningful way of averaging functions which cover an infinite expanse of space. Note, we haven’t found evidence suggesting mathematicians thought of this problem; however, it’s assumed, in general, there’s no meaningful way of averaging functions which cover an infinite expanse of space. Regardless, we’ll choose a sequence of bounded functions using a "choice function". Note, we find the "choice function" using a question with criteria in §2.4. Also, in §3 and §4, we attempt to answer this question that should "choose" a sequence of bounded functions that a) meaningfully averages everywhere, surjective functions and b) obtains a finite average from a "positive measure" of Borel measurable functions.

Preprint CONCEPT PAPER | doi:10.20944/preprints202307.0560.v19

Meaningfully Averaging Unbounded Functions

Bharath Krishnan

Subject: Computer Science And Mathematics, Analysis Keywords: expected value; hausdorff measure; (Exact) dimension function; function space; prevalent and shy sets; entropy; choice function

Online: 26 March 2024 (08:22:18 CET)

Show abstract| Download PDF| Share

In this paper we want meanignfully average an "infinite collection of objects covering an infinite expanse of space". We illustrate this quote with an explicit n-dimensional function, where the graph of the function is dense in ℝ^(n+1). The problem is non meaningful expected value of the function (e.g., w.r.t the Lebesgue or Hausodorff measure) has a finite value. In fact "almost no" Borel measurable functions have a finite and meaningful value. In rigorous terms, suppose for n∈ ℕ, set A⊆ℝⁿ and function f∶A→ℝⁿ. If set A is Borel; B* is the set of all Borel measurable function in ℝᴬ for all A⊆ℝⁿ, and B** is the set of all f∈B* with a finite expected value—w.r.t the Hausdorff measure—then B** is a shy subset of B*. To fix these issues, we wish to find a unique and "natural" extension of the expected value—w.r.t the Hausdorff measure—on bounded functions to unbounded/bounded f, which takes finite values only, so B** is a non-shy subset of B*. Note we haven't found evidence suggesting mathematicians have thought of this problem; however, it's assumed, in general, there's no meaningful way of averaging functions which cover an infinite expanse of space. Regardless, we'll attempt to solve the problem by defining a choice function—this shall choose a unique set of equivalent sequences of sets (Fₖ***) , where the set-theoretic limit of Fₖ*** is the graph of f; the measure Hʰ is the ℎ-Hausdorff measure, such for each k∈ℕ, 0 < Hʰ(Fₖ***) < +∞; and (fₖ*) is a sequence of functions where {(x₁,...,xₙ,fₖ*(x₁,...,xₙ))∶x∈ dom(Fₖ***)}=Fₖ***. Thus, if (Fₖ***) converges to A at a rate linear or super-linear to the rate non-equivelant sequences of sets converge, and the extended expected value of or E**[f,Fₖ***] in the eq. below: ∀(ε>0)∃(N∈ℕ)∀(k∈N)(k≥N⇒1/Hʰ(dom(Fₖ***))∫dom(Fₖ*** )fₖ* dHʰ - E**[f,Fₖ***]<ε ) exists, then E**[f,Fₖ***] is a unique and "natural" extension of the original expected value on bounded f, so B**—the set of all f∈B* with a finite E**[f,Fₖ***]—is a non-shy set in B*. Note we guessed the choice function using computer programming we redefine linear and super-linear convergence in terms of partitions of

Preprint ARTICLE | doi:10.20944/preprints202401.0227.v21

Collatz Conjecture

Asset Durmagambetov, Aniyar Durmagambetova

Subject: Computer Science And Mathematics, Analysis Keywords: binary representation; Collatz conjecture

Online: 25 March 2024 (08:12:10 CET)

Show abstract| Download PDF| Share

Preprint CONCEPT PAPER | doi:10.20944/preprints202307.0560.v18

Meaningfully Averaging Unbounded Functions

Bharath Krishnan

Subject: Computer Science And Mathematics, Analysis Keywords: expected value; hausdorff measure; (Exact) dimension function; function space; prevalent and shy sets; entropy; choice function

Online: 19 March 2024 (12:46:40 CET)

Show abstract| Download PDF| Share

In this paper we want meanignfully average an "infinite collection of objects covering an infinite expanse of space". We illustrate this quote with an explicit n-dimensional function, where the graph of the function is dense in ℝ^(n+1). The problem is non meaningful expected value of the function (e.g., w.r.t the Lebesgue or Hausodorff measure) has a finite value. In fact "almost no" Borel measurable functions have a finite and meaningful value. In rigorous terms, suppose for n∈ ℕ, set A⊆ℝⁿ and function f∶A→ℝⁿ. If set A is Borel; B* is the set of all Borel measurable function in ℝᴬ for all A⊆ℝⁿ, and B** is the set of all f∈B* with a finite expected value—w.r.t the Hausdorff measure—then B** is a shy subset of B*. To fix these issues, we wish to find a unique and "natural" extension of the expected value—w.r.t the Hausdorff measure—on bounded functions to unbounded/bounded f, which takes finite values only, so B** is a non-shy subset of B*. Note we haven't found evidence suggesting mathematicians have thought of this problem; however, it's assumed, in general, there's no meaningful way of averaging functions which cover an infinite expanse of space. Regardless, we'll attempt to solve the problem by defining a choice function—this shall choose a unique set of equivalent sequences of sets (Fₖ***) , where the set-theoretic limit of Fₖ*** is the graph of f; the measure Hʰ is the ℎ-Hausdorff measure, such for each k∈ℕ, 0 < Hʰ(Fₖ***) < +∞; and (fₖ*) is a sequence of functions where {(x₁,...,xₙ,fₖ*(x₁,...,xₙ))∶x∈ dom(Fₖ***)}=Fₖ***. Thus, if (Fₖ***) converges to A at a rate linear or super-linear to the rate non-equivelant sequences of sets converge, and the extended expected value of or E**[f,Fₖ***] in the eq. below: ∀(ε>0)∃(N∈ℕ)∀(k∈N)(k≥N⇒1/Hʰ(dom(Fₖ***))∫dom(Fₖ*** )fₖ* dHʰ - E**[f,Fₖ***]<ε ) exists, then E**[f,Fₖ***] is a unique and "natural" extension of the original expected value on bounded f, so B**—the set of all f∈B* with a finite E**[f,Fₖ***]—is a non-shy set in B*. Note we guessed the choice function using computer programming we redefine linear and super-linear convergence in terms of partitions of

Preprint ARTICLE | doi:10.20944/preprints202310.0913.v2

The Fourier Continuous Derivative: A New Approach to Fractional Differentiation

Eduardo Diedrich

Subject: Computer Science And Mathematics, Analysis Keywords: Fourier Continuous Derivative; Fractional Differentiation; Invariance Properties

Online: 19 March 2024 (10:15:54 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202401.0227.v20

Collatz Conjecture

Asset Durmagambetov, Aniyar Durmagambetova

Subject: Computer Science And Mathematics, Analysis Keywords: binary representation; Collatz conjecture

Online: 18 March 2024 (10:20:10 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202403.0675.v1

Unexpected Uncertainty Principle for Disc Banach Spaces

K. MAHESH KRISHNA

Subject: Computer Science And Mathematics, Analysis Keywords: Uncertainty Principle, Frame, Banach space.

Online: 12 March 2024 (07:49:26 CET)

Show abstract| Download PDF| Share

Preprint REVIEW | doi:10.20944/preprints202403.0329.v1

Security and Privacy in Machine Learning for IoHT and IoMT: A Review

Rahul Priyadarshi, Mehdi Gheisari

Subject: Computer Science And Mathematics, Analysis Keywords: Internet of Things, Internet of Health Things, Internet of Medical Things, Healthcare, Security, Network

Online: 6 March 2024 (06:59:38 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202401.0227.v19

Collatz Conjecture

Asset Durmagambetov, Aniyar Durmagambetova

Subject: Computer Science And Mathematics, Analysis Keywords: binary representation; Collatz conjecture

Online: 5 March 2024 (05:59:39 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202401.0227.v18

Collatz Conjecture

Asset Durmagambetov, Aniyar Durmagambetova

Subject: Computer Science And Mathematics, Analysis Keywords: binary representation; Collatz conjecture

Online: 4 March 2024 (09:50:10 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202402.1372.v1

Leveraging Visualization and Machine Learning Techniques in Education: A Case Study of K-12 State Assessment Data

Loni Taylor, Vibhuti Gupta, Kwanghee Jung

Subject: Computer Science And Mathematics, Analysis Keywords: Data Visualization; Big Data; AI; Machine Learning

Online: 23 February 2024 (10:39:04 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202401.0227.v17

Collatz Conjecture

Asset Durmagambetov, Aniyar Durmagambetova

Subject: Computer Science And Mathematics, Analysis Keywords: binary representation; Collatz conjecture

Online: 22 February 2024 (11:40:27 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202401.0227.v16

Collatz Conjecture

Asset Durmagambetov, Aniyar Durmagambetova

Subject: Computer Science And Mathematics, Analysis Keywords: binary representation; Collatz conjecture

Online: 20 February 2024 (11:29:01 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202402.0687.v1

Empowering Consumer Decision: Decoding Incentive vs. Organic Reviews for Smarter Choices Through Advanced Textual Analysis

Kate Kargozari, Junhua Ding, Haihua Chen

Subject: Computer Science And Mathematics, Analysis Keywords: incentive, organic, online reviews, review quality, sentiment analysis, semantic links, A/B testing, decision-making, recommendation

Online: 12 February 2024 (14:15:38 CET)

Show abstract| Download PDF| Share

Preprint CONCEPT PAPER | doi:10.20944/preprints202307.0560.v17

Finding an Unique and “Natural” Extension of the Expected Value That Is Finite for All Functions in Non-Shy Subset of the Set of All Measurable Functions

Bharath Krishnan

Subject: Computer Science And Mathematics, Analysis Keywords: expected value; hausdorff measure; (Exact) dimension function; function space; prevalent and shy sets; entropy; choice function

Online: 12 February 2024 (12:09:52 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202401.0227.v15

Collatz Conjecture

Asset Durmagambetov, Aniyar Durmagambetova

Subject: Computer Science And Mathematics, Analysis Keywords: binary representation; Collatz conjecture

Online: 10 February 2024 (05:58:49 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202401.0227.v14

Collatz Conjecture

Asset Durmagambetov, Aniyar Durmagambetova

Subject: Computer Science And Mathematics, Analysis Keywords: binary representation; Collatz conjecture

Online: 8 February 2024 (07:39:16 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202402.0410.v1

Existence and Limit Behavior of Constraint Minimizers for a Varying Nonlocal Kirchhoff Type Energy Functional

Xincai Zhu, Hanxiao Wu

Subject: Computer Science And Mathematics, Analysis Keywords: Kirchhoff type energy functional; constraint minimizer; limit behavior;
varying nonlocal term

Online: 7 February 2024 (06:30:15 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202401.0227.v13

Collatz Conjecture

Asset Durmagambetov, Aniyar Durmagambetova

Subject: Computer Science And Mathematics, Analysis Keywords: binary representation; Collatz conjecture

Online: 7 February 2024 (06:25:43 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202402.0342.v1

Nonlinear Heisenberg-Robertson-Schrodinger Uncertainty Principle

K. MAHESH KRISHNA

Subject: Computer Science And Mathematics, Analysis Keywords: Uncertainty Principle; Lipschitz map; Banach space

Online: 6 February 2024 (09:28:18 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202402.0337.v1

Evaluating Charging Strategies for Electric Vehicles

Zeinab Shahbazi, Siddhant Som, Slawomir Nowaczyk, Jens Andersson, Sami Fatmi

Subject: Computer Science And Mathematics, Analysis Keywords: Energy Prices; Electromobility; Optimal charging strategy

Online: 6 February 2024 (07:27:35 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202401.0227.v12

Collatz Conjecture

Asset Durmagambetov, Aniyar Durmagambetova

Subject: Computer Science And Mathematics, Analysis Keywords: binary representation; Collatz conjecture

Online: 6 February 2024 (05:13:21 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202401.0227.v11

Collatz Conjecture

Asset Durmagambetov, Aniyar Durmagambetova

Subject: Computer Science And Mathematics, Analysis Keywords: binary representation; Collatz conjecture

Online: 5 February 2024 (08:16:07 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202401.0227.v10

Collatz Conjecture

Asset Durmagambetov, Aniyar Durmagambetova

Subject: Computer Science And Mathematics, Analysis Keywords: binary representation; Collatz conjecture

Online: 2 February 2024 (06:12:54 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202401.2224.v1

Nonlinear Maccone-Pati Uncertainty Principle

K. MAHESH KRISHNA

Subject: Computer Science And Mathematics, Analysis Keywords: ; Uncertainty Principle, Lebesgue space, Clarkson inequality, Parallelogram space, Type of Banach space.

Online: 31 January 2024 (12:28:59 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202401.0227.v9

Collatz Conjecture

Asset Durmagambetov, Aniyar Durmagambetova

Subject: Computer Science And Mathematics, Analysis Keywords: binary representation; Collatz conjecture

Online: 29 January 2024 (04:21:12 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202401.0227.v8

Collatz Conjecture

Asset Durmagambetov, Aniyar Durmagambetova

Subject: Computer Science And Mathematics, Analysis Keywords: binary representation; Collatz conjecture

Online: 24 January 2024 (09:02:39 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202401.0227.v7

Collatz Conjecture

Asset Durmagambetov, Aniyar Durmagambetova

Subject: Computer Science And Mathematics, Analysis Keywords: binary representation; Collatz conjecture

Online: 23 January 2024 (09:59:20 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202401.0227.v6

Collatz Conjecture

Asset Durmagambetov, Aniyar Durmagambetova

Subject: Computer Science And Mathematics, Analysis Keywords: binary representation; Collatz conjecture

Online: 22 January 2024 (10:11:28 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202401.0227.v5

Collatz Conjecture

Asset Durmagambetov, Aniyar Durmagambetova

Subject: Computer Science And Mathematics, Analysis Keywords: binary representation; Collatz conjecture

Online: 15 January 2024 (03:45:13 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202401.1021.v1

Randomized Nonuniform Sampling for Random Signals Bandlimited in the Special Aﬃne Fourier Transform Domain

Yingchun Jiang, Ni Gao, Haizhen Li

Subject: Computer Science And Mathematics, Analysis Keywords: special aﬃne Fourier transform; nonuniform sampling; random signals; error estimate; approximate recovery

Online: 12 January 2024 (12:05:56 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202401.0227.v4

Collatz Conjecture

Asset Durmagambetov, Aniyar Durmagambetova

Subject: Computer Science And Mathematics, Analysis Keywords: binary representation; Collatz conjecture

Online: 11 January 2024 (07:17:52 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202401.0227.v3

Collatz Conjecture

Asset Durmagambetov, Aniyar Durmagambetova

Subject: Computer Science And Mathematics, Analysis Keywords: binary representation; Collatz conjecture

Online: 8 January 2024 (10:32:51 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202401.0227.v2

Collatz Conjecture

Asset Durmagambetov

Subject: Computer Science And Mathematics, Analysis Keywords: binary representation; Collatz conjecture

Online: 8 January 2024 (06:22:04 CET)

Show abstract| Download PDF| Share

Preprint CONCEPT PAPER | doi:10.20944/preprints202307.0560.v16

Finding an Unique and “Natural” Extension of the Expected Value That Is Finite for All Functions in Non-Shy Subset of the Set of All Measurable Functions

Bharath Krishnan

Subject: Computer Science And Mathematics, Analysis Keywords: expected value; hausdorff measure; (Exact) dimension function; function space; prevalent and shy sets; entropy; choice function

Online: 5 January 2024 (10:07:41 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202401.0389.v1

Functional Kuppinger-Durisi-Bölcskei Uncertainty Principle

K. MAHESH KRISHNA

Subject: Computer Science And Mathematics, Analysis Keywords: Uncertainty Principle, Hilbert space, ; Banach space.

Online: 4 January 2024 (15:15:01 CET)

Show abstract| Download PDF| Share

Preprint CONCEPT PAPER | doi:10.20944/preprints202307.0560.v15

Finding an Unique and “Natural” Extension of the Expected Value That Is Finite for All Functions in Non-Shy Subset of the Set of All Measurable Functions

Bharath Krishnan

Subject: Computer Science And Mathematics, Analysis Keywords: expected value; hausdorff measure; (Exact) dimension function; function space; prevalent and shy sets; entropy; choice function

Online: 4 January 2024 (09:37:33 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202401.0227.v1

Collatz Conjecture

Asset Durmagambetov

Subject: Computer Science And Mathematics, Analysis Keywords: binary representation; Collatz conjecture

Online: 4 January 2024 (03:23:16 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202401.0244.v1

Fixed Point Theorems for Generalized Set Valued F-contractions in Metric Spaces

Seong-Hoon Cho

Subject: Computer Science And Mathematics, Analysis Keywords: fixed point; contraction; generalized contraction; set valued contraction; metric space

Online: 3 January 2024 (10:39:27 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202401.0143.v1

A New Highly Accurate Approach to Compact Operators on Some Generalized Fibonacci Difference Sequence Spaces

Murat Candan

Subject: Computer Science And Mathematics, Analysis Keywords: Sequence spaces; Fibonacci numbers; Compact operators; Hausdorff measure of non-compactness

Online: 3 January 2024 (05:44:18 CET)

Show abstract| Download PDF| Share

Preprint CONCEPT PAPER | doi:10.20944/preprints202307.0560.v14

Finding an Unique and “Natural” Extension of the Expected Value That Is Finite for All Functions in Non-Shy Subset of the Set of All Measurable Functions

Bharath Krishnan

Subject: Computer Science And Mathematics, Analysis Keywords: expected value; hausdorff measure; (Exact) dimension function; function space; prevalent and shy sets; entropy; choice function

Online: 3 January 2024 (05:33:34 CET)

Show abstract| Download PDF| Share

Preprint CONCEPT PAPER | doi:10.20944/preprints202307.0560.v13

Finding an Unique and “Natural” Extension of the Expected Value That Is Finite for All Functions in Non-Shy Subset of the Set of All Measurable Functions

Bharath Krishnan

Subject: Computer Science And Mathematics, Analysis Keywords: expected value; hausdorff measure; (Exact) dimension function; function space; prevalent and shy sets; entropy; choice function

Online: 29 December 2023 (03:06:03 CET)

Show abstract| Download PDF| Share

Preprint CONCEPT PAPER | doi:10.20944/preprints202307.0560.v12

Finding an Unique and “Natural” Extension of the Expected Value That Is Finite for All Functions in Non-Shy Subset of the Set of All Measurable Functions

Bharath Krishnan

Subject: Computer Science And Mathematics, Analysis Keywords: expected value; hausdorff measure; (Exact) dimension function; function space; prevalent and shy sets; entropy; choice function

Online: 27 December 2023 (09:33:43 CET)

Show abstract| Download PDF| Share

Preprint CONCEPT PAPER | doi:10.20944/preprints202307.0560.v11

Finding an Unique and “Natural” Extension of the Expected Value That Takes a Finite Value for All Functions in Non-Shy Subset of the Set of All Functions

Bharath Krishnan

Subject: Computer Science And Mathematics, Analysis Keywords: expected value; hausdorff measure; (Exact) dimension function; function space; prevalent and shy sets; entropy; choice function

Online: 22 December 2023 (08:47:53 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202312.1393.v1

Gevrey versus q−Gevrey Asymptotic Expansions for Some Linear q−Difference-Differential Cauchy Problem

Stephane Malek, Alberto Lastra

Subject: Computer Science And Mathematics, Analysis Keywords: Gevrey asymptotic expansions; q-Gevrey asymptotic expansions; singularly perturbed problem; formal solution

Online: 19 December 2023 (09:53:16 CET)

Show abstract| Download PDF| Share

Preprint CONCEPT PAPER | doi:10.20944/preprints202307.0560.v10

Finding an Unique and “Natural” Extension of the Expected Value That Takes a Finite Value for All Functions in Non-Shy Subset of the Set of All Functions

Bharath Krishnan

Subject: Computer Science And Mathematics, Analysis Keywords: expected value; hausdorff measure; (Exact) dimension function; function space; prevalent and shy sets; entropy; choice function

Online: 15 December 2023 (04:57:26 CET)

Show abstract| Download PDF| Share

Preprint CONCEPT PAPER | doi:10.20944/preprints202307.0560.v9

Finding an Unique and “Natural” Extension of the Expected Value That Takes a Finite Value for All Functions in Prevalent Subset of the Set of All Functions

Bharath Krishnan

Subject: Computer Science And Mathematics, Analysis Keywords: expected value; hausdorff measure; (Exact) dimension function; function space; prevalent and shy sets; entropy; choice function

Online: 13 December 2023 (10:12:55 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202312.0963.v1

Fixed Point Results for $\alpha$-Type $F$-Suzuki Contraction and $\alpha$-Type $F$-Weak-Suzuki Contraction With Application to Non-linear Fractional Differential Equation in $b$-Metric Spaces

Yohannes Tesfaye Gher, Kidane Koyas Tola, Haider Ebrahim Yesuf

Subject: Computer Science And Mathematics, Analysis Keywords: Fixed points, $F$-Suzuki-contraction, $\alpha$-type $F$-Suzuki contraction, $\alpha$-type $F$-Weak-Suzuki contraction, $b$-metric space.

Online: 13 December 2023 (10:05:40 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202312.0543.v1

Fekete-Szego and Zalcman Functional Estimates for Subclasses of Alpha-Convex Functions Related to Trigonometric Functions

Krishnan Marimuthu, Uma Jayaraman, TEODOR BULBOACA

Subject: Computer Science And Mathematics, Analysis Keywords: Analytic functions; subordination; Carathé; odory functions; sine function; cosine function; alpha-convex functions; starlike and convex functions; coefficient bounds; Fekete-Szeg˝o functional; Zalcman functional

Online: 8 December 2023 (08:04:52 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202311.1668.v1

The Existence and Averaging Principle for Caputo Fractional Stochastic Delay Differential Systems with Poisson Jumps

Zhenyu Bai, Chuanzhi Bai

Subject: Computer Science And Mathematics, Analysis Keywords: Stochastic fractional delay differential systems; Delayed Mittag-Leffler type matrix function; Existence and uniqueness; averaging principle; Lp convergence

Online: 27 November 2023 (11:25:12 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202311.1182.v1

Convergence Criteria for Fixed Point Problems and Differential Equations

Mircea Sofonea, Domingo Alberto Tarzia

Subject: Computer Science And Mathematics, Analysis Keywords: differential equation; Cauchy problem; fixed point; history-dependent operator; convergence criterion; viscoelastic constitutive law

Online: 21 November 2023 (10:37:08 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202311.0481.v1

Certain Results on Subclasses of Analytic and Bi-Univalent Functions Associated with Coefficients Estimates and Quasi-Subordination

Elaf Ibrahim Badiwi, Waggas Galib Atshan, Ameera N. Alkiffai, Alina Alb Lupas

Subject: Computer Science And Mathematics, Analysis Keywords: analytic functions, univalent function; fractional derivatives; convolution (qderivatives); quasi–subordination; coefficient estimate

Online: 7 November 2023 (16:21:13 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202311.0384.v1

General Fractional Calculus Operators of Distributed Order

Mohammed Al-Refai, Yuri Luchko

Subject: Computer Science And Mathematics, Analysis Keywords: Sonin kernels; Sonin condition; general fractional derivatives; general fractional derivatives of distributed order; fractional integrals of distributed type.

Online: 7 November 2023 (08:21:41 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202311.0272.v1

Almost Automorphic Solutions to Nonlinear Difference Equations

Marko Kostić, Halis Can Koyuncuoglu, Vladimir E. Fedorov

Subject: Computer Science And Mathematics, Analysis Keywords: discrete almost automorphic; discrete bi-almost automorphic; fixed point; contraction; Bohr-Neugebauer

Online: 6 November 2023 (03:08:22 CET)

Show abstract| Download PDF| Supplementary Files| Share

Preprint ARTICLE | doi:10.20944/preprints202310.2042.v1

Improved Stability and Instability Results for Neutral Integro-Differential Equations including Infinite Delay

Cemil Tunç, Fahir Talay Akyıldız, Mohammed AbaOud

Subject: Computer Science And Mathematics, Analysis Keywords: NVIDE; stability; uniform stability; instability; LKF method

Online: 31 October 2023 (09:15:33 CET)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202310.1962.v1

High-Precision Temperature Compensation Method for Downhole Pressure Sensors in Oil and Gas Wells Based on the C-I-WOA-BP Neural Network

Fei Wang, Xing Zhang, Guowang Gao, Xintong Li, Xuzhi He

Subject: Computer Science And Mathematics, Analysis Keywords: BP neural network; temperature compensation model; chaotic mapping; whale optimization algorithm; adaptive weight

Online: 31 October 2023 (05:20:23 CET)

Show abstract| Download PDF| Share

The Internet of Things (IoT) aims to connect all objects and facilitate data interchange, with data accuracy being paramount. While IoT has seen extensive adoption in conventional sectors, its application in the petroleum industry, especially with downhole equipment, poses challenges due to the extreme high-temperature and high-pressure conditions, making accurate measurements elusive. This Paper we aim to enhance the accuracy of downhole pressure measurements in slim-hole drilling parameter monitoring, mitigate the temperature influences on strain gauges, and surmount the intrinsic limitations of the traditional BP neural network, such as sluggish convergence speeds, high sensitivity to initial weights and biases, unstable learning rates, and a tendency to fall into local minima. This study introduces a temperature compensation model using a chaotic-initiated adaptive whale optimization algorithm (C-I-WOA) to optimize a BP neural network, which is henceforth referred to as the C-I-WOA-BP model. Initially, we harnessed chaotic mapping techniques to refine the initialization process of the whale optimization algorithm (WOA) population, thereby bolstering the heterogeneity of the algorithm. Subsequently, we integrated an adaptive weight recalibration mechanism, refined the encompassing methodology of the WOA, and bolstered its capabilities for expansive global scouting and meticulous local refinement in the solution arena. Subsequently, the WOA was used to optimize the weight coefficients of the BP neural network. Finally, we conducted a detailed comparative analysis by juxtaposing the performance metrics of the BP, C-WOA-BP, I-WOA-BP, and C-I-WOA-BP networks. The experimental results indicate that the C-I-WOA-BP model demonstrates faster convergence speed, superior global search capabilities, and enhanced local exploitation potential compared to the other models. Additionally, it provides a more stable and accurate reduction in temperature-induced errors in drilling pressure parameter measurements.

Preprint ARTICLE | doi:10.20944/preprints202310.1781.v1

Double-Scale Expansions for a Logarithmic Type Solution to a Q-analog of a Singular Initial Value Problem

Stephane Malek

Subject: Computer Science And Mathematics, Analysis Keywords: Asymptotic expansion; Borel-Laplace transform; Fourier transform; initial value problem; formal power series

Online: 27 October 2023 (12:51:38 CEST)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202310.1770.v1

An Exploration on a Normed Space called r-Normed Space: Some Properties and an Application

Rizal Purnawan

Subject: Computer Science And Mathematics, Analysis Keywords: r-normed space; r-norm; Lp-space; measure theory; functional analysis; coefficient of determination

Online: 27 October 2023 (11:08:25 CEST)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202310.0913.v1

The Fourier Continuous Derivative: A New Approach to Fractional Differentiation

Eduardo Diedrich

Subject: Computer Science And Mathematics, Analysis Keywords: Fourier Continuous Derivative; Fractional Differentiation; Invariance Properties

Online: 13 October 2023 (17:45:11 CEST)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202310.0009.v2

Schrödinger’s Cat May Be Dead All Along

Dhan Lord Fortela, Ashley Mikolajczyk

Subject: Computer Science And Mathematics, Analysis Keywords: network analysis; Hidden Markov Models

Online: 9 October 2023 (12:00:01 CEST)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202310.0355.v1

Estimates for Approximation and Eigenvalues of the Resolvent of a Class of Singular Operators of Parabolic Type

Mussakan Muratbekov, Madi Muratbekov, Sabit Igissinov, Zhazira Igissinova

Subject: Computer Science And Mathematics, Analysis Keywords: parabolic type operator; an eigenvalues; a singular numbers; separability; an unbounded domain

Online: 9 October 2023 (08:52:16 CEST)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202310.0009.v1

Schrödinger’s Cat May Be Dead All Along

Dhan Lord Fortela, Ashley Mikolajczyk

Subject: Computer Science And Mathematics, Analysis Keywords: network analysis; Hidden Markov Models

Online: 1 October 2023 (08:28:15 CEST)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202309.2032.v1

Fuzzy Normed Algebras Generated by Homomorphisms

Ali Reza Khoddami, F. Kouhsari

Subject: Computer Science And Mathematics, Analysis Keywords: fuzzy normed algebra; homomorphism; separate continuity

Online: 29 September 2023 (04:04:09 CEST)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202309.1962.v1

On Geometric Interpretation of Euler’s Substitutions

Jan L. Cieśliński, Maciej Jurgielewicz

Subject: Computer Science And Mathematics, Analysis Keywords: integral calculus; irrational integrals; conics; rational parameterization; fourth Euler’s substitution

Online: 28 September 2023 (09:59:35 CEST)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202309.1835.v1

Fuzzy Normed Linear Spaces Generated by Linear Functionals

F. Kouhsari, A. R. Khoddami

Subject: Computer Science And Mathematics, Analysis Keywords: Fuzzy normed linear space; Linear functional; Separate continuity

Online: 27 September 2023 (05:47:04 CEST)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202309.1205.v1

On Fuzzy Near Best Approximation

R. Tourani, A. R. Khoddami

Subject: Computer Science And Mathematics, Analysis Keywords: Fuzzy near best approximation; Direct sum; Tensor product; Fuzzy norm

Online: 19 September 2023 (08:15:15 CEST)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202309.1209.v1

Unbounded Donoho-Stark-Elad-Bruckstein-Ricaud-Torrésani Uncertainty Principle

K. MAHESH KRISHNA

Subject: Computer Science And Mathematics, Analysis Keywords: Uncertainty Principle; Frame; Banach space

Online: 18 September 2023 (19:23:43 CEST)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202309.0560.v1

The Impact of Data Science Solutions on the Company Turnover

Marian Pompiliu Cristescu, Dumitru Alexandru Mara, Lia Cornelia Culda, Raluca Andreea Nerișanu, Adela Bâra, Simona-Vasilica Oprea

Subject: Computer Science And Mathematics, Analysis Keywords: Big Data Analytics; Revenue Generation; Customer Relationship Management (CRM)

Online: 8 September 2023 (13:33:43 CEST)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202309.0438.v1

On the Functions of Marcinkiewicz Integrals along Surfaces of Revolution on Product Domains via Extrapolation

Hussain Al-Qassem, Mohammed Ali

Subject: Computer Science And Mathematics, Analysis Keywords: rough integrals; surfaces of revolution; product domains; Marcinkiewicz integrals; extrapolation

Online: 7 September 2023 (04:56:56 CEST)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202309.0291.v1

Boundedness and Compactness of Weighted Composition Operators from α-Bloch Spaces to Bers-Type Spaces on Generalized Hua Domains of the First Kind

Jiaqi Wang, Jianbing Su

Subject: Computer Science And Mathematics, Analysis Keywords: : generalized Hua domain of the first type; α-Bloch space; Bers-type space; weighted composition operators; boundedness and compactness.

Online: 5 September 2023 (09:36:03 CEST)

Show abstract| Download PDF| Supplementary Files| Share

Preprint ARTICLE | doi:10.20944/preprints202309.0018.v1

The Number of Zeros in a Disk of a Complex Polynomial with Coefficients Satisfying Various Monotonicity Conditions

Robert Gardner, Matthew Gladin

Subject: Computer Science And Mathematics, Analysis Keywords: Complex polynomials; counting zeros; monotone coefficients

Online: 1 September 2023 (09:07:04 CEST)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202308.1614.v1

The Effects of Fairness Concern and Corporate Social Responsibility on Bilateral Quality Efforts of Agricultural Products Supply Chain

Yanhong Qin, Lin Xiang

Subject: Computer Science And Mathematics, Analysis Keywords: fairness concern; corporate social responsibility (CSR); bilateral quality efforts; agricultural products supply chain

Online: 23 August 2023 (07:34:27 CEST)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202308.1426.v1

Continuous Rankin Bound for Hilbert and Banach Spaces

K. MAHESH KRISHNA

Subject: Computer Science And Mathematics, Analysis Keywords: Rankin bound; Continuous Bessel family

Online: 21 August 2023 (07:12:22 CEST)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202308.1347.v1

Big Data Analyzing the Asymmetry of 64 Hexagrams Based on the Yarrow-stalk Method

Xinqi Zheng, Yang Cao

Subject: Computer Science And Mathematics, Analysis Keywords: Yijing; 64 hexagram changes; number in the great expansion method of divination; yin‐yang asymmetry; big data analysis

Online: 18 August 2023 (11:29:41 CEST)

Show abstract| Download PDF| Share

The divination function of China's Yijing has led to its circulation for thousands of years. In our exploration of Yijing's characteristics using big data, we have discovered variations in results between the coin toss method and the ancient yarrow-stalk method of divination, known as "the number for the great expansion method of divination(大衍之数)". The yarrow-stalk method serves as the fundamental method of divination in Yijing and continues to hold significance in studying the essential characteristics of Yijing. Despite the complexity of yarrow calculations, advancements in computer technology and big data have simplified its application. By employing the yarrow-stalk method, we simulated changes in the 64 hexagrams, calculated probabilities and proportions of hexagram alterations, and derived fundamental characteristics and patterns of hexagrams. Additionally, we constructed the spatial representation of lines and hexagrams. Through a binary system rearrangement, we created a 64x64 matrix illustrating hexagram transformations. Subsequently, we generated 100 million random hexagrams and analyzed line and hexagram changes accordingly. Our findings indicate the following:(1) Big data analysis reveals evident asymmetry in the hexagrams obtained through the yarrow-stalk method, with a triangular fractal characteristic forming the background.(2) Each of the 64 hexagrams exhibits a distinct probability distribution when transforming into other hexagrams, which can be categorized into five types.(3)The occurrence probabilities of Laoyang, Laoyin, Shaoyang, and Shaoyin are 18.61%, 6.387%, 31.38%, and 43.62% respectively. The probabilities of Yin and Yang occurrences are nearly equal, each close to 50%. However, the probability of Laoyang is approximately three times higher than that of Laoyin.(4) Visualized and analyzed the characteristics of hexagram changes greater than 100000 times using 3D statistical maps and Sankey diagram.These results demonstrate that the yarrow-stalk method effectively unveils the characteristics and underlying patterns of the 64 hexagrams. This study provides a novel approach for scientifically exploring the internal laws governing the 64 hexagrams in Yijing.

Preprint ARTICLE | doi:10.20944/preprints202308.1263.v1

Use of Normalizable Seed Solutions for Constructing

Gregory Natanson

Subject: Computer Science And Mathematics, Analysis Keywords: Cooper-Ginocchio-Khare potential; rational Sturm-Liouville equation; Liouville transformation; Darboux-Crum transformation; Crum Wronskian; Krein determinant; Adler theorem; generalized Heun equation; differential equation of Heine type.

Online: 17 August 2023 (13:02:11 CEST)

Show abstract| Download PDF| Share

Preprint HYPOTHESIS | doi:10.20944/preprints202308.1159.v1

Cashless Payment Services’ Acceptance among Malaysians – Enablers and Barriers

Meesha Lini Eesan, Vimala Balakrishnan, Kalaimagal Ramakrishnan

Subject: Computer Science And Mathematics, Analysis Keywords: cashless payment; enablers; barriers; Malaysia; UTAUT 2; TRI 2

Online: 16 August 2023 (10:32:54 CEST)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202308.1108.v1

An Endpoint Functional Continuous Uncertainty Principle

K. MAHESH KRISHNA

Subject: Computer Science And Mathematics, Analysis Keywords: Uncertainty Principle, Parseval Frame, Banach space.

Online: 15 August 2023 (09:08:33 CEST)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202308.0904.v1

A Classification of Elements of Function Space F(R,R)

Mohsen Soltanifar

Subject: Computer Science And Mathematics, Analysis Keywords: real-valued functions; cardinals; Cantor function; Thomae function; Weierstrass function; Dirichlet function; partition

Online: 11 August 2023 (09:49:44 CEST)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202308.0676.v1

Representations by Beurling Systems

Kazaros S. Kazarian

Subject: Computer Science And Mathematics, Analysis Keywords: summation basis; Hardy spaces; outer function; Beurling system; kernels; representation of functions

Online: 8 August 2023 (13:00:18 CEST)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202308.0208.v1

Big data reveals the change characteristics of 64 hexagrams and lines

Xinqi Zheng, Yang Cao

Subject: Computer Science And Mathematics, Analysis Keywords: I Ching; Coin toss method; 64 hexagram changes; Big data analysis; Hexagram changes topographic map

Online: 3 August 2023 (08:16:04 CEST)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202307.2083.v1

Parallel Subgradient-Like Extragradient Approaches for Variational Inequality and Fixed Point Problems with Bregman Relatively Asymptotical Nonexpansivity

Lu-Chuan Ceng, Yun-Ling Cui, Sheng-Long Cao, Bing Li, Cong-Shan Wang, Hui-Ying Hu

Subject: Computer Science And Mathematics, Analysis Keywords: Parallel subgradient-like extragradient approach; Variational inequality problem; Inertial effect; Bregman relatively asymptotically nonexpansive mapping; Bregman distance; Bregman projection

Online: 2 August 2023 (08:07:21 CEST)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202307.1835.v1

Modified inertial-type subgradient extragradient methods for variational inequalities and fixed points of finite Bregman relatively nonexpansive and demicontractive mappings

Cong-Shan Wang, Lu-Chuan Ceng, Bing Li, Sheng-Long Cao, Hui-Ying Hu, Yun-Shui Liang

Subject: Computer Science And Mathematics, Analysis Keywords: Modified inertial-type subgradient extragradient method; Variational inequality problem; Finite Bregman relatively nonexpansive mappings; Bregman relatively demicontractive mapping; Bregman distance; Bregman projection.

Online: 27 July 2023 (05:46:03 CEST)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202307.1844.v1

Continuous Deutsch Uncertainty Principle and Continuous Kraus Conjecture

K. MAHESH KRISHNA

Subject: Computer Science And Mathematics, Analysis Keywords: Uncertainty Principle; Hilbert space; Frame; Banach space; Deutsch uncertainty; Kraus Conjecture

Online: 27 July 2023 (05:18:36 CEST)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202307.1643.v1

Functional Continuous Uncertainty Principle

K. MAHESH KRISHNA

Subject: Computer Science And Mathematics, Analysis Keywords: Uncertainty Principle; Parseval Frame; Banach space

Online: 25 July 2023 (04:15:34 CEST)

Show abstract| Download PDF| Share

Preprint CONCEPT PAPER | doi:10.20944/preprints202307.0560.v8

Finding an Extension of the Expected Value That Is Unique, Finite, and Natural for All Functions in Prevalent Subset of the Set of All Functions

Bharath Krishnan

Subject: Computer Science And Mathematics, Analysis Keywords: Expected Value; Hausdorff measure; (Exact) dimension function; Function Space; Prevalent and Shy sets; Entropy; Choice Function

Online: 24 July 2023 (10:51:59 CEST)

Show abstract| Download PDF| Share

Preprint CONCEPT PAPER | doi:10.20944/preprints202307.0560.v7

Finding an Extension of the Expected Value That Is Unique, Finite, and Natural for All Functions in Prevalent Subset of the Set of All Functions

Bharath Krishnan

Subject: Computer Science And Mathematics, Analysis Keywords: Expected Value; Hausdorff measure; (Exact) dimension function; Function Space; Prevalent and Shy sets; Entropy; Choice Function

Online: 21 July 2023 (09:36:51 CEST)

Show abstract| Download PDF| Share

Preprint CONCEPT PAPER | doi:10.20944/preprints202307.0560.v6

Finding an Extension of the Expected Value That Is Unique, Finite, and Natural for All Functions in Prevalent Subset of the Set of All Functions

Bharath Krishnan

Subject: Computer Science And Mathematics, Analysis Keywords: Expected Value; Hausdorff measure; (Exact) dimension function; Function Space; Prevalent and Shy sets; Entropy; Choice Function

Online: 19 July 2023 (03:39:53 CEST)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202307.1084.v1

Functional Deutsch Uncertainty Principle

K. MAHESH KRISHNA

Subject: Computer Science And Mathematics, Analysis Keywords: uncertainty principle; orthonormal basis; parseval frame; hilbert space; banach space

Online: 17 July 2023 (10:53:06 CEST)

Show abstract| Download PDF| Share

Preprint CONCEPT PAPER | doi:10.20944/preprints202307.0560.v5

Finding an Extension of the Expected Value That Is Unique, Finite, and Natural for All Functions in Prevalent Subset of the Set of All Functions

Bharath Krishnan

Subject: Computer Science And Mathematics, Analysis Keywords: Expected Value; Hausdorff measure; (Exact) dimension function; Function Space; Prevalent and Shy sets; Entropy; Choice Function

Online: 17 July 2023 (10:02:07 CEST)

Show abstract| Download PDF| Share

Preprint CONCEPT PAPER | doi:10.20944/preprints202307.0560.v4

Finding an Extension of the Expected Value That Is Unique, Finite, and Natural for All Functions in Prevalent Subset of the Set of All Functions

Bharath Krishnan

Subject: Computer Science And Mathematics, Analysis Keywords: Expected Value; Hausdorff measure; (Exact) dimension function; Function Space; Prevalent and Shy sets; Entropy; Choice Function

Online: 14 July 2023 (05:13:22 CEST)

Show abstract| Download PDF| Share

Preprint CONCEPT PAPER | doi:10.20944/preprints202307.0560.v3

Finding an Extension of the Expected Value That Is Unique, Finite, and Natural for All Functions in Prevalent Subset of the Set of All Functions

Bharath Krishnan

Subject: Computer Science And Mathematics, Analysis Keywords: Expected Value; Hausdorff measure; (Exact) dimension function; Function Space; Prevalent and Shy sets; Entropy; Choice Function

Online: 13 July 2023 (05:00:22 CEST)

Show abstract| Download PDF| Share

Preprint CONCEPT PAPER | doi:10.20944/preprints202307.0560.v2

Finding an Extension of the Expected Value That Is Unique, Finite, and Natural for All Functions in Prevalent Subset of the Set of All Functions

Bharath Krishnan

Subject: Computer Science And Mathematics, Analysis Keywords: Expected Value; Hausdorff measure; (Exact) dimension function; Function Space; Prevalent and Shy sets; Entropy; Choice Function

Online: 11 July 2023 (09:34:34 CEST)

Show abstract| Download PDF| Share

Preprint CONCEPT PAPER | doi:10.20944/preprints202307.0560.v1

Finding an Extension of the Expected Value That Is Unique, Finite, and Natural for All Functions in Prevalent Subset of the Set of All Functions

Bharath Krishnan

Subject: Computer Science And Mathematics, Analysis Keywords: Expected Value; Hausdorff measure; (Exact) dimension function; Function Space; Prevalent and Shy sets; Entropy; Choice Function

Online: 10 July 2023 (08:56:52 CEST)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202305.0955.v5

Decaying Turbulence as a Fractal Curve

Alexander Migdal

Subject: Computer Science And Mathematics, Analysis Keywords: Turbulence; Fractal; Anomalous dissipation; Fixed point; Velocity circulation; Loop Equations

Online: 6 July 2023 (10:17:05 CEST)

Show abstract| Download PDF| Share

Preprint BRIEF REPORT | doi:10.20944/preprints202307.0366.v1

A Review on Botnet Attacks

Mia Deeks

Subject: Computer Science And Mathematics, Analysis Keywords: honeypot; botnet; blockchain; security; IoT; auto-encoder

Online: 6 July 2023 (07:30:33 CEST)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202307.0025.v1

Functional Donoho-Stark Approximate Support Uncertainty Principle

K. MAHESH KRISHNA

Subject: Computer Science And Mathematics, Analysis Keywords: Uncertainty Principle; Orthonormal Basis; Hilbert space; Banach space

Online: 4 July 2023 (02:15:57 CEST)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202306.2012.v1

On q−Gevrey Asymptotics for Logarithmic Type Solutions in Singularly Perturbed q−Difference-Differential Equations

Stephane Malek, Alberto Lastra

Subject: Computer Science And Mathematics, Analysis Keywords: q-Gevrey asymptotic expansion; monodromy; logarithmic type solution; singularly perturbed equation; formal solution.

Online: 29 June 2023 (03:29:06 CEST)

Show abstract| Download PDF| Share

Preprint ARTICLE | doi:10.20944/preprints202306.0822.v1

Time-Course Morphological Analysis Using Normal and Local Curvature Information from 3D Modelling Data for Leaf Lettuce

Kaede C. Wada, Atsushi Hayashi, Unseok Lee, Takanari Tanabata, Sachiko Isobe, Hironori Itoh, Hideki Maeda, Satoshi Fujisako, Nobuo Kochi

Subject: Computer Science And Mathematics, Analysis Keywords: 3D; point cloud; measurement; visual assessment; normal vector; local curvature; compactness; phenotyping; leaf lettuce (Lactuca sativa); blistering

Online: 12 June 2023 (10:19:38 CEST)

Show abstract| Download PDF| Share

Computer Science and Mathematics