new functions in 2005, rank,dense_rank, NTile, row_number,over

SQL排名与分组函数
本文介绍了SQL中用于数据排名和分组的四个关键函数:NTILE、RANK、DENSE_RANK和ROW_NUMBER。这些函数可以帮助用户更好地理解和操作数据集,实现数据的有效排序和分组。
NTILE (Transact-SQL)

Distributes the rows in an ordered partition into a specified number of groups. The groups are numbered, starting at one. For each row, NTILE returns the number of the group to which the row belongs.

 Return Types

bigint

If the number of rows in a partition is not divisible by integer_expression, this will cause groups of two sizes that differ by one member. Larger groups come before smaller groups in the order specified by the OVER clause. For example if the total number of rows is 53 and the number of groups is five, the first three groups will have 11 rows and the two remaining groups will have 10 rows each. If on the other hand the total number of rows is divisible by the number of groups, the rows will be evenly distributed among the groups. For example, if the total number of rows is 50, and there are five groups, each bucket will contain 10 rows.

 

 

RANK (Transact-SQL)

Returns the rank of each row within the partition of a result set. The rank of a row is one plus the number of ranks that come before the row in question

bigint

If two or more rows tie for a rank, each tied rows receives the same rank. For example, if the two top salespeople have the same SalesYTD value, they are both ranked one. The salesperson with the next highest SalesYTD is ranked number three, because there are two rows that are ranked higher. Therefore, the RANK function does not always return consecutive integers.

The sort order that is used for the whole query determines the order in which the rows appear in a result set.

 

DENSE_RANK (Transact-SQL)

Returns the rank of rows within the partition of a result set, without any gaps in the ranking. The rank of a row is one plus the number of distinct ranks that come before the row in question.

bigint

If two or more rows tie for a rank in the same partition, each tied rows receives the same rank. For example, if the two top salespeople have the same SalesYTD value, they are both ranked one. The salesperson with the next highest SalesYTD is ranked number two. This is one more than the number of distinct rows that come before this row. Therefore, the numbers returned by the DENSE_RANK function do not have gaps and always have consecutive ranks.

The sort order used for the whole query determines the order in which the rows appear in a result. This implies that a row ranked number one does not have to be the first row in the partition.

 

 

ROW_NUMBER (Transact-SQL)

Returns the sequential number of a row within a partition of a result set, starting at 1 for the first row in each partition.

Return Types

bigint

The ORDER BY clause determines the sequence in which the rows are assigned their unique ROW_NUMBER within a specified partition.

 

ROW_NUMBER ( )     OVER ( [ <partition_by_clause> ] <order_by_clause> )
< partition_by_clause>

Divides the result set produced by the FROM clause into partitions to which the ROW_NUMBER function is applied. For the PARTITION BY syntax, see OVER Clause (Transact-SQL).

< order_by_clause>

Determines the order in which the ROW_NUMBER value is assigned to the rows in a partition. For more information, see ORDER BY Clause (Transact-SQL). An integer cannot represent a column when the <order_by_clause> is used in a ranking function.

基于数据驱动的 Koopman 算子的递归神经网络模型线性化,用于纳米定位系统的预测控制研究(Matlab代码实现)内容概要:本文围绕“基于数据驱动的 Koopman 算子的递归神经网络模型线性化,用于纳米定位系统的预测控制研究”展开,提出了一种结合数据驱动方法与Koopman算子理论的递归神经网络(RNN)模型线性化方法,旨在提升纳米定位系统的预测控制精度与动态响应能力。研究通过构建数据驱动的线性化模型,克服了传统非线性系统建模复杂、计算开销大的问题,并在Matlab平台上实现了完整的算法仿真与验证,展示了该方法在高精度定位控制中的有效性与实用性。; 适合人群:具备一定自动化、控制理论或机器学习背景的科研人员与工程技术人员,尤其是从事精密定位、智能控制、非线性系统建模与预测控制相关领域的研究生与研究人员。; 使用场景及目标:①应用于纳米级精密定位系统(如原子力显微镜、半导体制造设备)中的高性能预测控制;②为复杂非线性系统的数据驱动建模与线性化提供新思路;③结合深度学习与经典控制理论,推动智能控制算法的实际落地。; 阅读建议:建议读者结合Matlab代码实现部分,深入理解Koopman算子与RNN结合的建模范式,重点关注数据预处理、模型训练与控制系统集成等关键环节,并可通过替换实际系统数据进行迁移验证,以掌握该方法的核心思想与工程应用技巧。
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