scholarly journals Developable or Not Related to Information Loss

2018 ◽  
Vol 10 (5) ◽  
pp. 28
Author(s):  
William Chen
Keyword(s):  
Dimensional Space ◽  
Three Dimensional ◽  
Information Loss ◽  
Surface Model ◽  
Euclidean Spaces ◽  
Developable Surfaces ◽  
The Relationship ◽  
Theoretical Results ◽  
Three Dimensional Space

In this paper we present a lemma and two theorems. These theoretical results will be used to test whether or not a given surface model can be developed. We then choose some examples to demonstrate how to perform these tests. All of these theories and examples are for general purposes, and are not restricted to any particular field. Although all examples are in three-dimensional space, it can be expanded to finite n-dimensional Euclidean spaces. The objective of this paper is to link the relationship between developable surfaces and information loss.

A Research on the Morphology and Composition of Flocs (Part 1: Floc Breaage Disregarded)

2013 ◽  
Vol 726-731 ◽  
pp. 1566-1572 ◽  
Author(s):  
Shi Qiang Ding ◽  
Qing Na Li ◽  
Xin Rong Pang ◽  
Ji Run Xu
Keyword(s):  
Dimensional Space ◽  
Three Dimensional ◽  
New Classification ◽  
Suspension Viscosity ◽  
Primary Particles ◽  
Long Time ◽  
Relationship Of ◽  
The Relationship ◽  
Three Dimensional Space ◽  
Floc Breakage

The characteristics of flocs aggregated in flocculation have been paid more and more attention for a long time. In this paper, a new classification and analyses method dealing with the flocs is developed. The flocs formed after flocculation is divided into four kinds, including the left primary particles, linear flocs with all component particles in a line, planar flocs with all component particles on a plane and volumetric flocs with all component particles in a three-dimensional space. By analyzing the formation approaches of different kind of flocs regardless of the floc breakage, the number of every kind of floc is analyzed to be related with the suspension concentration mathematically. After comparing the different items in the models describing the relationship of floc number and concentration, a series of simplified expressions are presented. Lastly, a mathematical equation relating the measurable suspension viscosity with the numbers of different flocs is obtained.

scholarly journals The relationship between diversity and productivity from a three-dimensional space view in a natural mesotrophic lake

2021 ◽  
Vol 121 ◽  
pp. 107069
Author(s):  
Ai-Ping Wu ◽  
Shi-Yun Ye ◽  
Jin-Rui Yuan ◽  
Liang-Yu Qi ◽  
Zheng-Wu Cai ◽  
...  
Keyword(s):  
Dimensional Space ◽  
Three Dimensional ◽  
Mesotrophic Lake ◽  
The Relationship ◽  
Three Dimensional Space

Regional Estimation of Block Oilfield Rock Physical Parameters

2013 ◽  
Vol 734-737 ◽  
pp. 1425-1428
Author(s):  
Lin Cong ◽  
Yang Liu ◽  
Wen Long Li ◽  
Hai Ou Fang
Keyword(s):  
Dimensional Space ◽  
Three Dimensional ◽  
Fault Model ◽  
Surface Model ◽  
Physical Parameters ◽  
Model Surface ◽  
Development Goals ◽  
Drilling Core ◽  
Rock Parameters ◽  
Three Dimensional Space

Based on getting block oilfield original drilling core data, the study established a geological physical parameters database and visual geological model of block oilfield, including block areas model, fault model, surface model and so on, by choosing several block oilfield oil parameters and using geological sections. The paper established block model by using hexahedral subdivision skills, estimated three-dimensional space physical parameters by using geostatistics theory and constraints of block areas and faults. It got block oilfield rock parameters spatial distribution and supplied a effective method to find oil rich regions and reach rolling development goals.

scholarly journals Constructive Geometric Models with Imaginary Objects

2020 ◽  
pp. short27-1-short27-9
Author(s):  
Denis Voloshinov ◽  
Alexandra Solovjeva
Keyword(s):  
Projective Geometry ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Higher Order ◽  
Second Order ◽  
The Other ◽  
Significant Obstacle ◽  
The Relationship ◽  
Planar Drawing ◽  
Three Dimensional Space

The article is devoted to the consideration of a number of theoretical questions of projective geometry related to specifying and displaying imaginary objects, especially, conics. The lack of development of appropriate constructive schemes is a significant obstacle to the study of quadratic images in three-dimensional space and spaces of higher order. The relationship between the two circles, established by the inversion operation with respect to the other two circles, in particular, one of which is imaginary, allows obtain a simple and effective method for indirect setting of imaginary circles in a planar drawing. The application of the collinear transformation to circles with an imaginary radius also makes it possible to obtain unified algorithms for specifying and controlling imaginary conics along with usual real second-order curves. As a result, it allows eliminate exceptional situations that arise while solving problems with quadratic images in spaces of second and higher order.

scholarly journals Body Metamorphosis and Animality: Volatile Bodies and Boulder Artworks from Lepenski Vir

2005 ◽  
Vol 15 (1) ◽  
pp. 35-69 ◽  
Author(s):  
Dušan Borić
Keyword(s):  
Life Cycle ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Migratory Fish ◽  
The Social ◽  
Social Efficacy ◽  
The Relationship ◽  
Three Dimensional Space ◽  
The Way

This article discusses the notion of body metamorphosis as a theory of phenomenal change by examining carved representational and ‘aniconic’ boulders from Lepenski Vir and other Meso-Neolithic sites in the Danube Gorges. The voluminous size of the boulders at Lepenski Vir, the way in which they occupy the three-dimensional space within buildings and around hearths, and the carvings over their surfaces suggest that they were understood as volatile bodies, undergoing continuous metamorphoses. The relationship between the seasonal recurrence of the Danube's migratory fish and these boulders is explored through the notion of animality. These boulders indicate prescribed stages of life-cycle metamorphosis that affected inextricably-linked realms of human and animal worlds. Prescribed stages of social embodiment at Lepenski Vir are discerned by looking at the archaeological context of representational boulders that sometimes directly commemorate particular deceased individuals. The possibility that boulder artworks acted as sacred heirlooms of particular buildings is connected to the social efficacy they might have acquired.

scholarly journals THE INVARIATOR DESIGN: AN UPDATE

2015 ◽  
Vol 34 (3) ◽  
pp. 147 ◽  
Author(s):  
Luis Manuel Cruz-Orive ◽  
Ximo Gual-Arnau
Keyword(s):  
Fixed Point ◽  
Surface Area ◽  
Test Line ◽  
Dimensional Space ◽  
Three Dimensional ◽  
A Posteriori ◽  
Euclidean Spaces ◽  
Oriented Plane ◽  
Three Dimensional Space ◽  
Area And Volume

The invariator is a method to generate a test line within an isotropically oriented plane through a fixed point, in such a way that the test line is effectively motion invariant in three dimensional space. Generalizations exist for non Euclidean spaces. The invariator design is convenient to estimate surface area and volume simultaneously. In recent years a number of new results have appeared which call for an updated survey. We include two new estimators, namely the a posteriori weighting estimator for surface area and volume, and the peak-and-valley formula for surface area.

scholarly journals Spatial Straight-Line Drawing Algorithm Based on Method of Discriminate Regions—A Control Algorithm of Motors

Energies ◽  
2020 ◽  
Vol 13 (19) ◽  
pp. 5002
Author(s):  
Jianping Wang ◽  
Shiguang Xiao ◽  
Tao Song ◽  
Junqi Yue ◽  
Pingyan Bian ◽  
...  
Keyword(s):  
Cooperative Control ◽  
Dimensional Space ◽  
Line Drawing ◽  
Three Dimensional ◽  
Step Length ◽  
Pulse Number ◽  
Straight Line ◽  
The Given ◽  
The Relationship ◽  
Three Dimensional Space

A novelty algorithm of spatial straight-line drawing based on a method of discriminate regions is proposed in this paper based on Bresenham’s algorithm. Three-dimensional space is divided into innumerable three-dimensional meshes according to the given rule; the distance between the start and the end points of the three coordinates is Δx, Δy, and Δz, respectively; the distribution types of spatial straight line and the position of the end point are determined by judging the relationship among Δx, Δy, and Δz; then, the active-passive directions can be determined. The plane of the ending point of the straight line in a three-dimensional mesh is divided into four regions; then, the discriminant is obtained; and this discriminant determine which region the point is located in The algorithm is verified and analyzed by the method of contrastive analysis; the results show that: the error of the algorithm is related to the step length L; the maximum theoretical error is 0.7071*L. The discriminants are all integers, so the problem of deviation from the theoretical straight line caused by the retention of decimals of significant digits can be avoided. Finally, the algorithm is applied to the cooperative control of multiple motors, and conversion between unit grid number and pulse number of motors is performed.

Extension of the Spatial PDI Model to Three Dimensions

1997 ◽  
Vol 84 (1) ◽  
pp. 176-178
Author(s):  
Frank O'Brien
Keyword(s):  
Population Density ◽  
Dimensional Space ◽  
Finite Lattice ◽  
Three Dimensional ◽  
Upper Bounds ◽  
Three Dimensions ◽  
Lower And Upper Bounds ◽  
Density Index ◽  
Three Dimensional Space

The author's population density index ( PDI) model is extended to three-dimensional distributions. A derived formula is presented that allows for the calculation of the lower and upper bounds of density in three-dimensional space for any finite lattice.

A Peptoid with Extended Shape in Water

2019 ◽  
Author(s):  
Jumpei Morimoto ◽  
Yasuhiro Fukuda ◽  
Takumu Watanabe ◽  
Daisuke Kuroda ◽  
Kouhei Tsumoto ◽  
...  
Keyword(s):  
Spectroscopic Analysis ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Biomolecular Recognition ◽  
Biological Application ◽  
New Class ◽  
Proteolytic Resistance ◽  
Pharmacokinetic Properties ◽  
Optically Pure ◽  
Three Dimensional Space

<div> <div> <div> <p>“Peptoids” was proposed, over decades ago, as a term describing analogs of peptides that exhibit better physicochemical and pharmacokinetic properties than peptides. Oligo-(N-substituted glycines) (oligo-NSG) was previously proposed as a peptoid due to its high proteolytic resistance and membrane permeability. However, oligo-NSG is conformationally flexible and is difficult to achieve a defined shape in water. This conformational flexibility is severely limiting biological application of oligo-NSG. Here, we propose oligo-(N-substituted alanines) (oligo-NSA) as a new peptoid that forms a defined shape in water. A synthetic method established in this study enabled the first isolation and conformational study of optically pure oligo-NSA. Computational simulations, crystallographic studies and spectroscopic analysis demonstrated the well-defined extended shape of oligo-NSA realized by backbone steric effects. The new class of peptoid achieves the constrained conformation without any assistance of N-substituents and serves as an ideal scaffold for displaying functional groups in well-defined three-dimensional space, which leads to effective biomolecular recognition. </p> </div> </div> </div>

Sign in / Sign up

Export Citation Format

Share Document