On the intervals between successive zeros of a random function

1958 ◽  
Vol 246 (1244) ◽  
pp. 99-118 ◽  
Keyword(s):  
Probability Density ◽  
Numerical Computation ◽  
Random Function ◽  
Gaussian Function ◽  
Statistical Distribution ◽  
New Approach ◽  
The Third ◽  
Narrow Spectrum ◽  
Low Pass

A new approach is suggested to the problem of the statistical distribution of the intervals between successive zeros of a random, Gaussian function. Hence is derived a sequence of approximations p n ( r ) ( n = 3, 4, 5, ...) to the desired probability density p ( r ). The third approximation p 3 is already correct to order r 4 , and has the correct limiting form in the case of a narrow spectrum. The analysis also gives rise to an alternative approximation p* n ( r ), less accurate for small values of r , but possibly more accurate for larger values. Numerical computation of both p 3 , p 4 , p 5 and p * 3 , p * 4 , p * 5 is carried out for a low-pass spectrum, and the results are compared with observation.

scholarly journals How to Solve the Problem of Evil

2019 ◽  
Vol 36 (4) ◽  
pp. 442-462 ◽  
Author(s):  
Justin Mooney ◽  
Keyword(s):  
Problem Of Evil ◽  
New Approach ◽  
Gratuitous Evil ◽  
The Third ◽  
The Problem Of Evil ◽  
Argument From Evil

One paradigmatic argument from evil against theism claims that (1) if God exists, then there is no gratuitous evil. But (2) there is gratuitous evil, so (3) God does not exist. I consider three deontological strategies for resisting this argument. Each strategy restructures existing theodicies which deny (2) so that they instead deny (1). The first two strategies are problematic on their own, but their primary weaknesses vanish when they are combined to form the third strategy, resulting in a promising new approach to the problem of evil.

Probabilistic Optimal Design Using Successive Surrogate Probability Density Functions

1990 ◽  
Author(s):  
R. J. Eggert ◽  
R. W. Mayne
Keyword(s):  
Probability Density ◽  
Optimization Method ◽  
Probability Density Functions ◽  
Density Functions ◽  
Matching Method ◽  
Design Constraint ◽  
New Approach ◽  
Function Formulation ◽  
The Moment ◽  
Theoretical Considerations

Abstract Probabilistic optimization using the moment matching method and the simulation optimization method are discussed and compared to conventional deterministic optimization. A new approach based on successively approximating probability density functions, using recursive quadratic programming for the optimization process, is described. This approach incorporates the speed and robustness of analytical probability density functions and improves accuracy by considering simulation results. Theoretical considerations and an example problem illustrate the features of the approach. The paper closes with a discussion of an objective function formulation which includes the expected cost of design constraint failure.

scholarly journals Rehydration of Dried-Out Specimens: a New Approach

2020 ◽  
Vol 34 (1) ◽  
pp. 73-86
Author(s):  
F. Neisskenwirth
Keyword(s):  
Water Vapor ◽  
Soft Tissue ◽  
Second Step ◽  
Phosphate Solution ◽  
Glycerol Solution ◽  
New Approach ◽  
The Third ◽  
Demineralized Water ◽  
Chemically Induced

Abstract Different procedures are proposed in the literature for the rehydration of dried-out specimens. These procedures vary greatly in their efficiency and application. This work describes a new procedure that is inspired by the literature but that avoids heating the specimens. This method was applied to reconditioning dried-out specimens from a historical collection (Swiss freshwater fishes, bird brains, and bird eyes), stored at the Naturhistorisches Museum Bern in Switzerland. The procedure consists of five steps. The first step is the softening of hardened soft tissue with benzaldehyde and demineralized water. The second step is an indirect rehydration with water vapor. The third step is a chemically induced direct hydration using a trisodium phosphate solution that allows the specimen to swell in size before being washed with water to remove all additives. Finally, the rehydrated specimen is transferred into new preserving fluid. Because the dehydrating properties of ethanol as a preservative are problematic, this paper presents the results of an experimental case study using a glycerol solution as a preservation fluid.

scholarly journals A new approach to glycan targeting: enzyme inhibition by oligosaccharide metalloshielding

2014 ◽  
Vol 50 (31) ◽  
pp. 4056-4058 ◽  
Author(s):  
John B. Mangrum ◽  
Brigitte J. Engelmann ◽  
Erica J. Peterson ◽  
John J. Ryan ◽  
Susan J. Berners-Price ◽  
...  
Keyword(s):  
Enzyme Inhibition ◽  
Systematic Study ◽  
Coordination Compounds ◽  
Bioinorganic Chemistry ◽  
Structure And Function ◽  
New Approach ◽  
The Third ◽  
Major Class ◽  
And Function

Metalloglycomics – the effects of defined coordination compounds on oligosaccharides and their structure and function opens new areas for bioinorganic chemistry and expands its systematic study to the third major class of biomolecules after DNA/RNA and proteins.

Leading From Powerlessness: A Third-way Neutrosophic Leadership Model For Developing Countries

2021 ◽  
Author(s):  
Victor Christianto ◽  
◽  
Florentin Smarandache ◽  
Keyword(s):  
Developing Countries ◽  
Developed Countries ◽  
Point Of View ◽  
Third Way ◽  
Leadership Model ◽  
New Approach ◽  
The Third ◽  
Leadership Models

We argue that there are essentially two chief leadership models: the hard-style and soft-style leadership. From Neutrosophic point of view, there can be a third way, between hard-style leadership and soft-style leadership model, which may be more relevant to many of people in developing countries as well as in developed countries, who feel “powerless” and “hopeless” especially in this pandemic situation. We prefer to call this new approach: leading from powerlessness. The third-way Neutrosophic leadership model may also mean partially hard-style and partially soft-style leadership.

scholarly journals Double Solids, Categories and Non-Rationality

2013 ◽  
Vol 57 (1) ◽  
pp. 145-173 ◽  
Author(s):  
Atanas Iliev ◽  
Ludmil Katzarkov ◽  
Victor Przyjalkowski
Keyword(s):  
Category Theory ◽  
Mirror Symmetry ◽  
Homology Group ◽  
Hochschild Homology ◽  
Singular Points ◽  
Double Covering ◽  
Homological Mirror Symmetry ◽  
New Approach ◽  
The Third

AbstractThis paper suggests a new approach to questions of rationality of 3-folds based on category theory. Following work by Ballard et al., we enhance constructions of Kuznetsov by introducing Noether–Lefschetz spectra: an interplay between Orlov spectra and Hochschild homology. The main goal of this paper is to suggest a series of interesting examples where the above techniques might apply. We start by constructing a sextic double solid X with 35 nodes and torsion in H3(X, ℤ). This is a novelty: after the classical example of Artin and Mumford, this is the second example of a Fano 3-fold with a torsion in the third integer homology group. In particular, X is non-rational. We consider other examples as well: V10 with 10 singular points, and the double covering of a quadric ramified in an octic with 20 nodal singular points. After analysing the geometry of their Landau–Ginzburg models, we suggest a general non-rationality picture based on homological mirror symmetry and category theory.

scholarly journals Probability Density Components Analysis: A New Approach to Treatment and Classification of SAR Images

2014 ◽  
Vol 6 (4) ◽  
pp. 2989-3019 ◽  
Author(s):  
Osmar de Carvalho Júnior ◽  
Luz Maciel ◽  
Ana de Carvalho ◽  
Renato Guimarães ◽  
Cristiano Silva ◽  
...  
Keyword(s):  
Probability Density ◽  
Sar Images ◽  
New Approach ◽  
Components Analysis

Hybrid Computing Techniques for Collaborative Control of UCAVs

2005 ◽  
Author(s):  
Randy C. Hoover ◽  
Marco P. Schoen ◽  
D. Subbaram Naidu
Keyword(s):  
Mission Planning ◽  
Hierarchical Architecture ◽  
New Approach ◽  
The Third ◽  
Collaborative Control ◽  
Final Layer ◽  
Interpretation System ◽  
Threat Avoidance ◽  
Navigational System ◽  
The Individual

This paper presents a new approach to collaborative control of multiple Uninhabited Combat Aerial Vehicles (UCAVs) using hybrid soft and hard computing techniques. The approach develops a hierarchical architecture, which consists of four separate layers. The first layer describes the navigational system responsible for mission planning/re-planning, target priority, target distribution among individual UCAVs, and communication/collaboration between all UCAVs in the battlefield. The second layer describes the sensor fusion/definition on each individual UCAV. The third layer describes a fuzzy interpretation system (FIS) in which static and dynamic threat avoidance, and real-time path planning are outlined. The fourth and final layer contains the individual UCAV plant dynamics, autopilot, and navigation subsystem which accepts heading, altitude, and velocity commands. Extensive simulations are given to validate the proposed approach for any number of UCAVs flying in the battlefield.

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