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Related Concept Videos

Radial System Protection01:23

Radial System Protection

Radial systems employ time-delay overcurrent relays to reduce load interruptions. When a fault occurs, the nearest breaker opens first, while upstream breakers remain closed due to longer delay settings. This approach ensures minimal disruption to the rest of the system.
In a radial system with a fault downstream of the third breaker, ideally, only the third breaker will open, isolating the fault and interrupting the load connected beyond it. The second breaker has a longer delay setting,...
Survival Tree01:19

Survival Tree

Survival trees are a non-parametric method used in survival analysis to model the relationship between a set of covariates and the time until an event of interest occurs, often referred to as the "time-to-event" or "survival time." This method is particularly useful when dealing with censored data, where the event has not occurred for some individuals by the end of the study period, or when the exact time of the event is unknown.
 Building a Survival Tree
Constructing a survival tree begins...
Polar Coordinates: Problem Solving01:27

Polar Coordinates: Problem Solving

Directional radiation patterns are central to antenna analysis, as they illustrate how signal strength varies with direction. These patterns are often modeled using polar plots, where the radial distance from the origin represents signal intensity at a given angle. A commonly used idealized form is the four-lobed rose curve, which captures the concept of directional beams in a simplified mathematical form.The four-lobed rose curve, described by r = cos⁡(2θ), features four symmetric lobes, each...
Radicals01:27

Radicals

Roots, often written as radicals, identify the quantity that must be raised to a specific exponent to produce a given value. A radical expression consists of two main components: the radicand, which is the value placed inside the root symbol, and the index, which indicates the degree of the root being taken. The notation n√a indicates the principal nth root of a. If n equals 2, the operation is the square root, while n = 3 defines the cube root. When n is even, a negative radicand does not...
Radical Equations01:26

Radical Equations

Radical equations are mathematical expressions in which the variable is found within a radical, most commonly a square root or cube root. These equations frequently arise in science, engineering, and real-world measurements involving nonlinear relationships. To solve a radical equation, the standard procedure is to isolate the radical expression and then eliminate the radical by raising each side to a power equal to the index of the radical. This process may lead to extraneous solutions—values...
Assessment of radial pulse01:11

Assessment of radial pulse

Assessment of Radial Pulse
The radial pulse, located at the wrist, is often the preferred site for assessing peripheral pulse because of its accessibility and dependability. The process of determining the radial pulse involves several steps:

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Related Experiment Video

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Tree Core Analysis with X-ray Computed Tomography
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Published on: September 22, 2023

Efficient evaluation of radial queries using the target tree.

Michael Morse1, Jignesh M Patel, William I Grosky

  • 1Department of Electrical and Computer Science, University of Michigan, Ann Arbor, MI 48105, USA. mmorse@eecs.umich.edu

International Journal of Bioinformatics Research and Applications
|December 1, 2007
PubMed
Summary

We introduce the target tree, a novel spatial indexing structure for efficient radial queries. This structure significantly outperforms existing methods like R*-trees and quadtrees in biomedical applications.

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Area of Science:

  • Computer Science
  • Geographic Information Systems
  • Biomedical Engineering

Background:

  • Spatial data structures are crucial for efficient querying in various applications.
  • Radial queries, which identify objects intersecting line segments from a target point, are common in fields like neurosurgical planning.
  • Existing indexing structures like R*-trees and quadtrees may not be optimal for radial queries.

Purpose of the Study:

  • To propose a novel indexing structure, the target tree, specifically designed for radial queries.
  • To evaluate the performance of the target tree against established spatial indexing methods.

Main Methods:

  • Developed the target tree, utilizing a hierarchical decomposition of space with wedge shapes emanating from a target point.
  • Conducted comparative performance analysis against R*-trees and quadtrees using radial query benchmarks.

Main Results:

  • The target tree demonstrated significantly faster performance in answering radial queries compared to R*-trees and quadtrees.
  • The wedge-based hierarchical decomposition proved effective for this specific query type.

Conclusions:

  • The target tree is a highly efficient indexing structure for radial queries.
  • This novel approach offers substantial performance improvements for applications requiring radial spatial analysis, such as neurosurgical planning.