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Introduction to Scalers01:21

Introduction to Scalers

2.8K
2.8K
Downsampling01:20

Downsampling

767
When considering a sampled sequence with zero values between sampling instants, one can replace it by taking every N-th value of the sequence. At these integer multiples of N, the original and sampled sequences coincide. This process, known as decimation, involves extracting every N-th sample from a sequence, thereby creating a more efficient sequence.
The Fourier transform of the decimated sequence reveals a combination of scaled and shifted versions of the original spectrum. This...
767
Fast Decoupled and DC Powerflow01:24

Fast Decoupled and DC Powerflow

814
The fast decoupled power flow method addresses contingencies in power system operations, such as generator outages or transmission line failures. This method provides quick power flow solutions, essential for real-time system adjustments. Fast decoupled power flow algorithms simplify the Jacobian matrix by neglecting certain elements, leading to two sets of decoupled equations:
814
Singularity Functions for Shear01:26

Singularity Functions for Shear

484
In structural analysis, singularity functions are crucial in simplifying the representation of shear forces in beams under discontinuous loading. These functions describe discontinuous  variations in shear force across a beam with varying loads by using a single mathematical expression, regardless of the complexity of the loading conditions. The singularity functions are derived from creating a free-body diagram of the beam and then making conceptual cuts at specific points to examine the...
484
Routh-Hurwitz Criterion II01:19

Routh-Hurwitz Criterion II

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In the application of the Routh-Hurwitz criterion, two specific scenarios can arise that complicate stability analysis.
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
1.2K
Linearization and Approximation01:26

Linearization and Approximation

154
Linearization is a mathematical technique used to approximate complex, nonlinear functions with simpler linear models in the vicinity of a chosen reference point. The method is based on the idea that, although a function may be difficult to evaluate exactly, its behavior near a specific input value can often be closely approximated by the tangent line at that point. This approach is particularly useful when small deviations from a known value are involved.Consider the square root function, for...
154

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Automated Sholl Analysis of Digitized Neuronal Morphology at Multiple Scales
11:41

Automated Sholl Analysis of Digitized Neuronal Morphology at Multiple Scales

Published on: November 14, 2010

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スケーラブルなShorアルゴリズムの実現

Thomas Monz1, Daniel Nigg2, Esteban A Martinez2

  • 1Institut für Experimentalphysik, Universität Innsbruck, Technikerstraße 25, A-6020 Innsbruck, Austria. thomas.monz@uibk.ac.at.

Science (New York, N.Y.)
|March 5, 2016
PubMed
まとめ
この要約は機械生成です。

研究者は,大きな数を因数分解するためのスケーラブルな量子アルゴリズムを示しています. この量子コンピューティングの進歩は 7つの量子ビットとモジュール式マルチプリケータを使用して 15を成功裏に因数分解し 99%以上の精度を達成しました

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Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
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Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

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Three-Dimensional Particle Shape Analysis Using X-ray Computed Tomography: Experimental Procedure and Analysis Algorithms for Metal Powders
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Three-Dimensional Particle Shape Analysis Using X-ray Computed Tomography: Experimental Procedure and Analysis Algorithms for Metal Powders

Published on: December 4, 2020

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関連する実験動画

Last Updated: Mar 24, 2026

Automated Sholl Analysis of Digitized Neuronal Morphology at Multiple Scales
11:41

Automated Sholl Analysis of Digitized Neuronal Morphology at Multiple Scales

Published on: November 14, 2010

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Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
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Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

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Three-Dimensional Particle Shape Analysis Using X-ray Computed Tomography: Experimental Procedure and Analysis Algorithms for Metal Powders
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科学分野:

  • 量子コンピューティング
  • 数学理論
  • アルゴリズム開発

背景:

  • ショアのアルゴリズムのように 量子アルゴリズムは 特定の計算作業の クラシックな方法よりも優れた性能を提供します
  • 量子コンピューティングのハードウェアのスケーラビリティ,エラー修正,アルゴリズムの実装は,実用的なアプリケーションに不可欠です.

研究 の 目的:

  • 整数因数分解の Shor のアルゴリズムのスケーラブルな実現を提示する.
  • 現在の量子ハードウェアで高度な量子アルゴリズムを実装する可能性を実証する.

主な方法:

  • Kitaevの提案に基づいたスケーラブルなShorアルゴリズムの実装.
  • イオントラップ量子コンピュータで 7つの量子ビットと 4つの補助量子ビット
  • 一般的な算術演算,特にモジュール式乗算を用いる.

主要な成果:

  • 実行されたスケーラブルショアアルゴリズムを使用して 15 を成功裏に因数分解しました.
  • 正確な因数分解の信頼度が99%を超えている.
  • イオントラップアーキテクチャ内のアルゴリズムのスケーラビリティを実証しました.

結論:

  • 提出された研究は,量子計算における重要なマイルストーンであるショアのアルゴリズムのスケーラブルなアプローチを検証しています.
  • この発見は 複雑な数理論の問題に対する イオントラップ量子コンピュータの可能性を 強調しています
  • 15の因数分解が成功し 高い信頼度を持つことで より大きな数を扱うための道が開けます