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It offers mathematical tools to discover patterns hidden in data, can be used for feature selection, feature extraction, data reduction, and pattern extraction (templates, association rules) identifies partial or total dependencies in data, eliminates redundant data, gives approach to null values, missing data, dynamic data etc.
(d) Preprocess the MIS data including filling these null data with specific values and discretization of the continuous data.
Algorithm 2: Data Completion Algorithm.In the current business data mining, the obvious problem is the data incompletion.
Algorithm 4: Attribute reduction algorithm.Attribute reduction is a very important research in rough set theory.
Method of Data Reduction Based on Boolean Matrix[J].

Table 3 present the statistical properties of creep rupture test data for 600�.
Table 4 is a similar presentation of creep rupture test data for 650�.
More work and large test data are required to clarify this issue.
One of the examples of Weibull plots for the result data is shown in Fig. 4.
For the statistical modeling of creep rupture data, more work is required.

Product Data Management (PDM) is the system which is not only storage place for the data; it is a tool which should make ECs faster and more effective.
The Product Data Management (PDM) is an engineering system which helps mainly the design engineers to handle the created data during the designing process and also during manufacturing.
Also the Product Data Management (PDM) is generally introduced by introducing it background and main properties.
The purpose is that all the data, which is created with different software, can be found from one place, from PDM.
With the help of the PDM the improvements in production, information access and data management may increase.

These multiple variables to describe the state of the data abstraction are the high-dimensional data.
Usually using data dimensionality reduction to the mining of low-dimensional linear or nonlinear manifold embedded in high-dimensional data, and maintaining the overall geometry of the characteristic properties unchanged for feature extraction analysis for fault diagnosis.
And geodesic distance between high-dimensional data regards as essentially low-dimensional representation of invariant feature of the Euclidean distance between data to dimensionality reduction.
The algorithm in fault diagnosis to data dimension reduction, the dimension estimation mapping function and predict classification has been applied.
By the tag data to establish the objective function, it measured clustering unlabeled data based on the Hellinger distance.

Using STC89C52 as the core processor, the  hardware consists of signal section modulating circuit, acquisition circuit and communication circuit; C language and LabVIEW graphical language are used to develop the system, including A/D conversion, data transmission, reduction and linear compensation, section control and data storage.
The system is improved furtherly by analysing the measured data.
Data storage module is shown in Figure 6.
Firstly, in the data storage module, data and time are stored to the text of lifting capacity conversion by the mothod of string conversion.
Program of data storage.

The issue of emission reduction has become one of the most important missions in China.
As one of the largest sources of energy consumption and pollution emission, the power generation industry plays an important role in the problem of emission reduction.
Example analysis Basic data.
However, since the regional emission reduction task is different, the corresponding regional emission reduction cost is different.
The emission reduction cost in region is much higher than those in other regions, while the emission reduction cost in region is much lower than those in other regions.

Crest factor reduction (CFR) is a technology of reducing the signal PAPR at the expense of some performance parameters.
The fundamental of PC-CFR is detecting signal peaks in the data block range of the signal amplitude greater than the threshold, generating cancellation pulses canceled with peaks, so that the peaks do not exceed the threshold.
Detect signal peaks in the data block range of the signal amplitude greater than the threshold.
Nonlinear transform approach to the reduction of peak-to-average. 2010, The University of Texas at San Antonio: TEXAS
IFFT-based techniques for peak power reduction in OFDM communication systems. 2008, University of Victoria

While PCA is a linear dimensionality reduction algorithm which means that it can only be used for linear distributed data.
But the PCA algorithm is a linear dimensionality reduction method, whose limit lies in that it can only reduce the dimension of the data with linear character.
PCA algorithm transforms original data into new coordinate system via orthogonal transform, and substitute the original high-dimensional data with several comprehensive data.
The comprehensive data is the principal component.
Fuzzy K-means algorithm divides data with fuzzy.

The photocatalytic activity for Cr(VI) reduction was evaluated by several batch experiments.
Comparing the BET analysis data of different catalysts in Table 1, F doping created a most positive effect on the surface modification of TiO2, which indicated the strong adsorption ability and the sufficient space for photocatalytic reaction.
The highest reduction efficiency of 90% was obtained as a result.
It is suggested that F-TiO2 has the best photocatalytic activity for Cr(VI) reduction.
The photocatalytic performance of F-TiO2 was studied via Cr(VI) reduction experiments.

It is the first time we reported (S)-1-benzyl-3-pyrrolidinol-borane which is the intermediate of the reduction with sodium borohydride-iodine system, and its spectral data (IR, 1H NMR, 11B NMR, MS spectroscopy).
The reported m.p. and specific rotation data of 3 show that in Kocalka’s preparation some epimerization occurred [3].
We studied the mechanism of the reduction and used IR spectra to study the process of the reduction and modified the reaction conditions.
The m.p. and specific rotation data of 3 were the same as the literature [6] reported.
The reaction was carried out under different rate of n (3): n (NaBH4): n (I2) and reaction time( data were not showed) and use IR spectra to trace the reduction.