Finding Main Harmonics in Time Series Data with Periods Function

该代码有助于填补时间序列数据中的空白。为此，它需要一个缺少日期和时间的 DateTime 数组以及具有相应缺失值的 测量数组。它将检查日期数组中缺少的日期，并为测量数组中的相应日期填充 NaN，这将有助于获取连续的时间序列数据。

This MATLAB code imports time-series data related to riverbank and water depth coordinates in XY format, sampled every 10 minutes. The code calculates the cross-sectional area for each water depth and writes the following data to an Excel file: Date/Time, Water Depth, and the cross-sectional area for each water depth.

Time Series Database (TSDB) is a database system specifically designed for efficiently storing, managing, and processing time series data. This type of data typically involves numerical values associated with specific timestamps, commonly found in monitoring, IoT, financial transactions, and operational analytics. This article explores several key NoSQL time series databases, including InfluxDB, ScyllaDB, CrateDB, and Riak TS, as well as Apache Druid, highlighting their characteristics and application scenarios. 1. InfluxDB InfluxDB, developed by InfluxData, is an open-source time series database designed for real-time analysis and big data. It features high write performance and low-latency query capabilities, supporting complex time series data queries. InfluxDB is particularly suited for handling data from sensors, logs, metrics, and is widely used in monitoring systems, IoT applications, and real-time analysis scenarios. 2. ScyllaDB ScyllaDB is a high-performance distributed database based on Apache Cassandra. It offers higher throughput and lower latency than native Cassandra. Its optimized time series data processing capabilities make it ideal for real-time applications such as monitoring and log analysis. ScyllaDB supports multi-data center deployments to ensure high availability and consistency of data. 3. CrateDB CrateDB is a column-oriented distributed SQL database that can handle large-scale time series data. It provides a SQL interface, making time series data operations more familiar to traditional database users. CrateDB is suitable for projects that require rapid analysis of large amounts of time series data and prefer using SQL for querying. 4. Riak TS Developed by Basho Technologies, Riak TS is a NoSQL solution focused on time series data. It inherits the core features of Riak, such as high availability and scalability. Riak TS is suitable for applications that need to store and retrieve time series data in a distributed environment, such as recording equipment status in the telecommunications or energy industries. 5. Apache Druid Although Druid is not a traditional NoSQL database, it is a columnar data store designed for real-time analytics. Druid is renowned for its excellent Online Analytical Processing (OLAP) performance and low-latency query capabilities, making it suitable for big data real-time analysis and business intelligence applications. These databases each have their strengths. InfluxDB and Druid excel in real-time analytics, ScyllaDB and CrateDB offer powerful distributed processing capabilities, while Riak TS specializes in distributed storage and retrieval. Developers should consider data scale, performance requirements, query complexity, SQL support, and team expertise when choosing a solution.

Acycle: Acycle是一个用于研究和教育的时间序列分析软件，提供强大的分析工具和用户友好的界面，适合学术研究和教学使用。

This Chaos Time Series Toolbox includes a variety of MATLAB programs for analyzing chaotic time series. The toolbox features methods for calculating delay time, embedding dimension, and various prediction techniques. The provided code is fully functional and ready to run, ensuring an effective and reliable approach to chaotic data analysis.

给定时间序列，该算法生成随机变体，其中原始值都被保留（但它们的位置是随机的），但逐点Holder结构是固定的。这对于各种形式的假设检验很有用。参考文献：Keylock, CJ 2017. 保留逐点的多重分形代理数据生成算法Hölder规律结构，初步应用于湍流，Physical Review E 95, 032123，https://doi.org/10.1103/PhysRevE.95.032123。

Apache Flink深度解析 Apache Flink是一个开源的流处理和批处理框架，专注于实时数据处理。Flink的设计目标是提供低延迟、高吞吐量的数据处理能力，同时支持事件时间和状态管理，使其在大数据领域中成为了重要的工具。将深入探讨Flink的核心概念、架构、API以及实际应用案例。 1. Flink核心概念 流与数据流模型：Flink基于无界数据流模型，意味着它可以处理无限的数据流，而不仅限于批处理。数据流由数据源（Sources）和数据接收器（Sinks）组成。 事件时间：Flink支持事件时间处理，这是实时处理中至关重要的概念，基于数据生成的时间而非处理时间。 状态管理：Flink允许操作符在处理过程中保持状态，这对于实现复杂的数据转换和计算至关重要。 窗口（Windows）：Flink提供多种窗口机制，如滑动窗口、会话窗口和tumbling窗口，可根据时间或数据量定义窗口，进行聚合操作。 2. Flink架构 JobManager：作为Flink集群的控制中心，负责任务调度、资源管理和故障恢复。 TaskManager：负责执行计算任务，接收JobManager分配的任务，并与其他TaskManager进行数据交换。 数据流图（Data Stream Graph）：每个Flink作业表示为一个有向无环图（DAG），其中节点代表算子（operators），边代表数据流。 3. Flink API DataStream API：用于处理无界数据流，提供丰富的算子，如map、filter、join和reduce等。 DataSet API：处理有界数据集，适用于批处理场景，但也可在流处理中使用。 Table & SQL API：自Flink 1.9引入，提供SQL风格的查询接口，简化了开发过程。 4. Flink的实时处理 状态一致性：Flink提供几种状态一致性保证，如exactly-once和at-least-once，确保数据处理的准确性。 检查点（Checkpoints）与保存点（Savepoints）：通过周期性检查点和可恢复保存点提升了Flink的容错机制。

大数据系统构建 在可扩展实时数据系统的构建中，理解其原理和最佳实践至关重要。1. 架构设计: 采用微服务架构，以支持横向扩展。2. 数据流处理: 利用流处理框架，如Apache Kafka或Apache Flink，确保数据的实时性。3. 存储方案: 选择适合的存储技术，如NoSQL数据库，以满足高并发和大数据量的需求。4. 监控与优化: 定期进行系统性能的监控，并对数据处理过程进行优化，确保系统的稳定性与高效性。

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