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Different from PCA, LPP aims to preserve the local structure of the data set.
In which the local structure of the input data can be preserved.
If we choose the first eigenvectors from , where and often , the new projection is (7) Based on the projected data set , the high-dimensional data space is reduced into low-dimensional data space, but retaining majority local variation information in the projected data set.
The data sampling rate was 20kHz and the data length is 20,480 points.
Niyogi, “Laplacian eigenmaps for dimensionality reduction and data representation,” Neural Computation, vol.15, 1373–1396, 2003.

This model made the analysis more objective and scientific, and can accumulate the data for new or planned similar constructions.
The main influencing factors of construction cost changes will be identified subsequently to accumulate relative data for new or planned similar projects.
Similarly, the reductions of the subentry engineering are regarded as that whose final quantities and unit prices are zero.
The bid proposal and the settlement of this project are shown as Table 1 and Table 2, respectively (Due to space limitations, only part of the data listed).
Through the data analysis and accumulation of the similar completed projects, the empirical conclusion can be made to offer scientific and objective countermeasures to control construction cost of the new and planned similar projects.

It also vigorously promotes the "energy-saving emission reduction", reduces the emission of pollutants and protects the ecological environment.
Other data showed that the amount of external coal increased year by year since 2004 in Beijing.
To save energy is to reduce the pollutant emissions, to improve residents' awareness of emission reduction.
Systematic analysis has been carried on based on the actual data of Beijing in past years.
Economic science press, 2004, 4:227-266 [6] Xiuquan Wang Research and building of 3E decision support platform based on data warehouse [D].

The mechanism of the resistance reduction is the reduction of wetted surface area and the change of turbulance mode.
The effect of bubbly layer on propeller performance, related to the application possibility of gas resistance reduction technology [4].
Tab.1 Character of model 4381 Tab.2 Geometrical data for model M1 r/R B/D P/D QM XM/D TRD FRB 0.2 0.174 1.332 0 0 0.0434 0.0351 0.4 0.275 1.358 0 0 0.0294 0.0348 0.6 0.337 1.28 0 0 0.0191 0.0245 0.7 0.347 1.21 0 0 0.0146 0.0191 0.8 0.334 1.137 0 0 0.0105 0.0148 0.9 0.28 1.066 0 0 0.0067 0.0123 1 0.001 0.995 0 0 0.0029 0 △(kg) 158 T （mm） 163.5 LWL(mm) 4400 B(mm) 500 Fig.1 The ship model M1 Fig.2 The propeller model 4381 Fig.3 The grids of the computational field Computational domain and Boundry condition Fig.3 shows the meshes of calculation zone in the open water condition.
In order to verify the reliability of calculation method, Tab.3 shows calculating and experimental datas.
As shown in Tab.3, Thrust reduction gap up to 7.47%, torque reduction gap up to 4.65%, propulsion efficiency reduction up to 3.69%.

Additionally, the slag percentage reduction was increased significantly due to an elevation of the temperature.
The observation of the data using ANOVA requires the certain assumptions to be satisfied, including a normal distribution of the errors, data independent and variance stability.
The data independent verification using scatter plot showed that there was no obvious pattern of the residual of the percentage of slag on one hand as shown in Fig. 4(B).
Therefore, it can be concluded that the data had an acceptable level of variance stability.
Additionally, the slag percentage reduction was increased significantly due to an elevation of the temperature.

Patil and Hodges [14] did the work of LCO in high aspect ratio wings and state that LCO data becomes increasingly complex with the increase in speed.
Furthermore, data acquisition systems, DAQ were used in gathering signals from measurement sources and digitizing the signal for storage and analysis.
The data acquisition has been used to record the data during wind tunnel test.
The test has been repeated several times to find if there are major irregularities in the data obtained.
The data obtained might be served as a reference in future aerospace research areas.

The annealed AA6061 Al alloy sheets were asymmetrically rolled by 85% reduction in thickness in about 5 passes, at 20, 200, 300, 400, 500, 550 and 600°C, respectively.
To analyze the texture, based on the measured pole figure data, the orientation distribution functions (ODFs) of AA6061 Al alloy sheets were calculated with orthorhombic symmetry by using the Bunge method [14, 15].
The plastic strain ratios (R-values) of R0, R45, and R90, were calculated, the average R value () was calculated as = (R0 + 2R45 + R90)/4. and the planar anisotropy (ΔR) was calculated as ΔR = (R0 + R90 - 2R45) / 2. was calculated by ODF data.
Sample Preparation processes a Starting Al alloy sheet (4mm thickness) was annealed at 500 ˚C for 1 h. b Sample a was asymmetrically rolled by 85% reduction in thickness at 20°C (room temperature) and subsequently annealed at 300°C for 1h. c Sample a was asymmetrically rolled by 85% reduction in thickness at 200°C and subsequently annealed at 300°C for 1 h. d Sample a was asymmetrically rolled by 85% reduction in thickness at 300°C and subsequently annealed at 300°C for 1 h. e Sample a was asymmetrically rolled by 85% reduction in thickness at 400°C and subsequently annealed at 300°C for 1 h. f Sample a was asymmetrically rolled by 85% reduction in thickness at 500°C and subsequently annealed at 300°C for 1 h. g Sample a was asymmetrically rolled by 85% reduction in thickness at 550°C and subsequently annealed at 300°C for 1 h. h Sample a was asymmetrically rolled by 85% reduction in thickness at 600°C and subsequently annealed at 300°C for 1 h.
The R0, R45, and R90 values were calculated on the basis of ODFs data [14, 15].

The movement of the wedges causes a progressive spread in the axial direction of the billet and a reduction in its cross-sectional area; it can be of simple diameter reduction or of several reductions.
Definition of remarkable point's coordinates Each of these stages encompasses another series of steps, at a more detailed level; and for each of these steps there are: an input data, a defined action, an output data and a number of rules to verify.
Figure 7 – Simple reduction part A11
At this stage the reduction ratios are validated.
Authors use different reduction ratios, for example [4] use the optimum reduction in cross-section area Rop, [12] use the diameter reduction Ed; and relative reduction δ used by [6].

Techniques for data collection. 
Two techniques were used to collect data from different companies: Surveys. 
This segment includes only two representative data regarding monthly coal consumption (Ton) and power (kW).
Includes data related to the activities or operations performed and equipment used for this purpose.
The average values will be established from the data calculated for the samples obtained in the energy diagnosis. 

Reduction of implantation-induced point defects by germanium ions in n-type 4H-SiC T.
Net doping concentrations Nnet and Schottky barrier heights fB extracted from the C-2-V data are listed in Table I.
A similar effect of reduction of Z1/2 concentration is reported in [7].
This indicates that the effect of implanted 74Ge on the reduction of Z1/2 might be different than described in [7].
Theoretical support is required in order to fully clarify the mechanism of Ge-aided Z1/2 reduction.