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関連する概念動画

Area Computation by the Alternative Coordinate Method01:24

Area Computation by the Alternative Coordinate Method

139
The alternative coordinate method, also known as the Shoelace Formula, is a technique for determining the area of a traverse using Cartesian coordinates. This method relies on the sequential arrangement of x and y coordinates for each point of the shape, ensuring accuracy and ease of application.In this approach, each corner's x and y coordinates are listed as fractions, with the x-coordinate as the numerator and the y-coordinate as the denominator. These coordinates are arranged sequentially...
139
Ampere-Maxwell's Law: Problem-Solving01:17

Ampere-Maxwell's Law: Problem-Solving

730
A parallel-plate capacitor with capacitance C, whose plates have area A and separation distance d, is connected to a resistor R and a battery of voltage V. The current starts to flow at t = 0. What is the displacement current between the capacitor plates at time t? From the properties of the capacitor, what is the corresponding real current?
To solve the problem, we can use the equations from the analysis of an RC circuit and Maxwell's version of Ampère's law.
For the first part of...
730
Collisions in Multiple Dimensions: Problem Solving01:06

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In multiple dimensions, the conservation of momentum applies in each direction independently. Hence, to solve collisions in multiple dimensions, we should write down the momentum conservation in each direction separately. To help understand collisions in multiple dimensions, consider an example.
A small car of mass 1,200 kg traveling east at 60 km/h collides at an intersection with a truck of mass 3,000 kg traveling due north at 40 km/h. The two vehicles are locked together. What is the...
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Areas Within Irregular Boundaries01:26

Areas Within Irregular Boundaries

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Calculating areas within irregular boundaries, such as along rivers or curved roads, is crucial in various fields, including surveying, engineering, and environmental management. Surveyors often begin by creating a traverse, a connected series of straight lines approximating the area's boundary. The coordinates of each traverse point are essential for calculating the enclosed area. The double meridian distance formula is a widely used technique for this purpose. This method utilizes the...
111
Design Example: Traverse Angle Computations01:25

Design Example: Traverse Angle Computations

129
Traverse angle computations are a critical component of surveying, used to compute the internal angles within a closed traverse. A traverse consists of a series of connected lines forming a closed loop, often used for land boundary delineation or mapping. Calculating the internal angles ensures accuracy in the traverse geometry and is essential for checking survey data integrity.The process begins with known azimuths and bearings of the traverse sides. Internal angles at each vertex are...
129
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

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Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
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まとめ
この要約は機械生成です。

新しい機能的な材料の発見は グローバルな課題に不可欠です 計算方法はこれを加速できますが,その予測力は材料科学の発見ワークフローでは十分に活用されていません.

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科学分野:

  • 材料科学
  • コンピュータ化学
  • ナノテクノロジー

背景:

  • 気候変動や資源の不足といった グローバルな課題に取り組むために 新しく機能的な材料が 緊急に必要とされています
  • 伝統的な実験的材料の発見は,潜在的物質空間の広さによって遅く,制限されています.
  • 現在の計算的アプローチは,発見を導くのではなく,実験結果を後合理化することが多い.

研究 の 目的:

  • コンピューティング駆動の材料発見のワークフローの実施における課題について議論する.
  • 材料科学の分野での進歩を強調する
  • 本当に新しい素材を発見する際の 障害を強調するためです

主な方法:

  • 材料発見における計算方法のレビュー
  • 計算と実験を統合する課題の分析
  • オープンソースのソフトウェア,データベース,ハードウェアの進歩についての議論.

主要な成果:

  • 合理的な材料の開発を加速する大きな可能性を秘めている.
  • 理論が実験を導く 計算の完全な予測力は 未使用のままです
  • 探査はしばしば地元の物質空間に限定され,新しい性質が欠けています.

結論:

  • 新しい素材の解き放つには コンピューティング駆動のワークフローの課題を克服することが重要です
  • 効率的な材料発見には 計算能力の活用が不可欠です
  • 計算による予測と実験による検証の間のギャップを 埋めることが重要です