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Precipitation Processes01:12

Precipitation Processes

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The experimental conditions in a gravimetric analysis should be optimized to maximize the particle size and purity of the obtained precipitate. Ideally, the concentration of the precipitating reagent should be low with effective stirring to maintain low relative supersaturation for the growth of large crystals. In homogeneous precipitation, the precipitant is slowly generated by a chemical reaction in the solution to avoid local reagent excesses. For example, urea decomposes gradually to...
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Precipitation and Co-precipitation01:17

Precipitation and Co-precipitation

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Precipitation and coprecipitation methods can be used to separate a mixture of ions in a solution. In qualitative inorganic analysis, ions that form sparingly soluble precipitates with the same reagent are separated based on the differences in solubility products. For example, consider the separation of Cu(II) and Fe(II) ions by precipitation as insoluble sulfides. First, copper(II) sulfide is precipitated by the addition of acidic H2S, where the dissociation of H2S is suppressed. Adding H2S...
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Precipitation Gravimetry01:03

Precipitation Gravimetry

7.8K
Precipitation gravimetry is based on converting an analyte into a sparingly soluble precipitate, which is separated by filtration and weighed. An ideal precipitate should be pure, insoluble, of known composition, and easily filtered from the reaction mixture.
In determining nickel by gravimetric analysis, a precipitant of ethanolic dimethylglyoxime is added to a hot nickel salt solution. This is quickly followed by the dropwise addition of dilute ammonia solution until precipitation occurs. A...
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What is Weather?01:07

What is Weather?

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Overview
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Deconvolution01:20

Deconvolution

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Deconvolution, also known as inverse filtering, is the process of extracting the impulse response from known input and output signals. This technique is vital in scenarios where the system's characteristics are unknown, and they must be inferred from the observable signals.
Deconvolution involves several mathematical techniques to derive the impulse response. One common approach is polynomial division. In this method, the input and output sequences are treated as coefficients of...
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Precipitation Reactions03:10

Precipitation Reactions

54.0K
In a precipitation reaction, aqueous solutions of soluble salts react to give an insoluble ionic compound – the precipitate. The reaction occurs when oppositely charged ions in solution overcome their attraction for water and bind to each other, forming a precipitate that separates out from the solution. Since such reactions involve the exchange of ions between ionic compounds in aqueous solution, they are also referred to as double displacement, double replacement, exchange reactions, or...
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Deep learning for post-processing ensemble weather forecasts.

Peter Grönquist1, Chengyuan Yao1, Tal Ben-Nun1

  • 1ETH Zurich, 8092 Zürich, Switzerland.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|February 15, 2021
PubMed
Summary

This study introduces a new mixed model for weather forecasting that uses fewer simulations and deep neural networks. This approach improves forecast accuracy, especially for extreme weather events, while reducing computational costs.

Keywords:
deep learningensemble post-processingextreme weather eventsweather uncertainty quantification

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Area of Science:

  • Meteorology and Atmospheric Sciences
  • Machine Learning Applications
  • Computational Science

Background:

  • Accurate quantification of uncertainty in weather forecasts is crucial, particularly for extreme events.
  • Ensemble prediction systems (EPS) are standard but computationally expensive, often requiring statistical post-processing.
  • Existing post-processing methods may not capture complex non-linear relationships in weather data.

Purpose of the Study:

  • To develop a computationally efficient mixed model for weather forecasting.
  • To leverage deep neural networks for improved post-processing of ensemble forecasts.
  • To enhance the prediction of extreme weather events using machine learning techniques.

Main Methods:

  • A mixed model approach using a subset of ensemble weather trajectories.
  • Deep neural networks for statistical post-processing of raw ensemble predictions.
  • Application and evaluation on global weather data and specific extreme event case studies.

Main Results:

  • Achieved over 14% relative improvement in ensemble forecast skill (CRPS) on global data.
  • Demonstrated larger improvements for extreme weather events compared to standard methods.
  • Showed comparable forecast skill using fewer trajectories, reducing computational burden.

Conclusions:

  • The proposed mixed model with deep neural network post-processing offers a significant advancement in weather forecasting accuracy and efficiency.
  • Reduced computational cost allows for higher resolution forecasts and improved prediction of critical weather phenomena.
  • This machine learning-driven approach holds promise for future weather and climate modeling advancements.