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The main idea is to approximate the machined surface using the inspection data and the basis functions of the nominal NURBS surface and to get the error distribution of the surface.
Many researches have been carried out on the compensation of machining errors using the OMM data.
Cho[1] presented an integrated machining error compensation method using OMM data to effectively reduce the machining error in the end-milling process.
The machined surface (Sm) can be approximated by adjusting the parameters of the nominal surface (Sn) according to the database measured by on-machine probing (the simulated data is used here).
Cheng, Integrated machining error compensation method using OMM data and modified PNN algorithm, International Journal of Machine Tools and Manufacture, 46 (2006) 1417-1427

The punching force reduction of the rooftop geometry has also been researched by Uddeholm Tooling AB [5].
Displacement-time and force-time curves and maximum punching force were stored with a computerized data logging system, Instron 8500 Plus control assembly and National Instruments NI USB-9162 converter.
The data logging software was Dasylab 9.0.
Stored punching test data was analyzed and average maximum punching force and displacement values for each of the punch-die pairs were calculated.
Compared to the results of Uddeholm Tooling AB, the measured punching force reduction in this study were significantly larger.

The numerical model has been validated by comparing the ABAQUS numerical results to the experimental data obtained by an ad-hoc campaign including mechanical tests under variable thermal conditions.
Each data acquired from the heat flux meters has been filtered and linearized.
In particular, in Figure 6 the strains at 3, 4, and 5 locations (according to Figure 2), as a function of the applied load are introduced and compared to experimental data measured during the first cold mechanical loading step.
It is worth to notice that, despite the incident heat flux has been extrapolated from few locations to the entire panel by the ABAQUS mapping function, the obtained numerical results show a good agreement with the experiment data.
Again, the agreement between numerical results and experimental data is very good.

The antenna size reduction can be as large as 36%, as compared to that of the conventional CP design.
Introduction Recently, there are rapid developments in wireless communications, and in order to satisfy the more data rate, the ISM（Industrial，Scientific，Medical）2.45GHz are selected to communication bands for Bluetooth, Home RF and IEEE802.11b.
So the antenna size reduction can be as large as 36%, as compared to that of the conventional CP design.
The antenna size reduction can be as large as 36%, as compared to that of the conventional CP design.

Numerical analysis demonstrate the reduction of the shear force at the base of the stone columns.
Three type of masonry materials were implemented: clay units, stone bricks and granite columns, whose data are reported in Table 1.
In the first case, the reduction of shear forces at the base of the columns is about 76%, while in the second case, more reasonable in practical applications, the reduction is about 51%: both results are of strong interest for the design of the reinforcements.

According to analysis of the above experimental data, if different operating voltages are used in different stages of water treatment, both effective water treatment and energy saving can be realized and rusting of the water treatment system can be significantly reduced.
In the signal acquisition module, under control of the SCM, sampled signals are conditioned by circuits such as the bleeder circuit, the follower circuit and the amplifier circuit and then sent to the ADC on MPS430F169 so that relevant data can be displayed on the LCD in real time and transmitted to the host computer for data storage, analysis, processing, etc.
As shown in Fig.6, Start of ADC, display of relevant data on the LCD and transmission of serial data are all executed in the interrupt program.
For easy observation of the experimental phenomena and analysis of the experimental data, a host computer GUI in Labview program is designed.
The system displays information such as the operating voltage and the operating current on the LCD and transmits relevant data to the host computer for data storage and subsequent analysis and processing.

When the sound transmission velocity of the forced flexural wave incident on the wall and the one of the inherent free bending wave are equal, the maximum amplitude of wall vibration will occur, As a consequence, the phenomenon of a large number of sound transmit through the wall and the sound reduction index of the wall abates rapidly, due to the coincidence effect, and that coincidence effect is a major factor that affects the sound insulation adversely.
The coincidence effect which occurs in the wall will impair the sound insulation performance, which decline in the sound reduction index within a certain frequency range, which the mass law can not predicted it.
Calculation of sound reduction index to 20 mm plasterboard by mass law and SEA Fig3.
Calculation of sound reduction index to 20 mm flake board by mass law and SEA As shown in Figs. 2 and 3, it indicates that (1) the coincidence effect reduces the sound reduction index in the coincidence valley, and the values of reduction are dependent of the properties of the wall which is concerned: thickness, surface density, and young’s modulus. (2)As to a homogeneous single-leaf wall, the frequency range of the coincidence effect can be found by SEA. (3) Under the condition of the wall with the same material, the critical frequency will move towards the lower frequency due to higher surface density and thicker wall, whereas, the critical frequency will make for the higher frequency owe to lower surface density and thinner plate.
Fig.4 Comparison of the sound reduction index for 100 thick aerated concrete Regardless of coincidence effect, the sound reduction index calculated by the mass law is higher than the measured data.

The results provide reference data relevant to ship design.
The polarization trends for all three alloys show the effects of concentration polarization due to oxygen reduction and activation polarization due to hydrogen generation.
The current density for passivity in anodic polarization is greater than that of dissolved oxygen reduction during cathodic polarization.
A potential of -900 mV (SCE) can also be included in the range at which concentration polarization occurs because the reaction involves the reduction of dissolved oxygen.
Cathodic polarization results in concentration polarization by dissolved oxygen reduction and activation polarization as a result of hydrogen generation.

Diffraction pattern of the film growth can be indexed to the monoclinic phase of WO3 with lattice parameters of a = 7.301 Å, b = 7.539 Å, c = 7.690 Å, b = 90.89°, which agrees well with the data from the JCPDS No. 72-0677.
The crystallite sizes were calculated from XRD data using the Scherrer equation (Eq.1)
Table 1. shows the XRD data processing results.
These results have a good correlation with the crystallinity analysis data.
The film growth at (111) orientation shows a rapid growing after Pt addition which confirm with XRD data and SEM images.

Process Procedure and Recipe Process procedure Prewetting→ dye reduction→ leucen dyeing →oxidation →rinsing→ air dry.
Discussion Experimental data series were made in order to determine four kinds of different factors influence on K/S under the action of conventional and ultrasonic dyeing.
In the ultrasonic dyeing experiments, ultrasonic reacts on the process of reduction and dyeing of plant indigo dye, so that it is better for the reduction of dyes and dyeing.
Otherwise, the concentration was too low to guarantee stability of reduction on account of the lack of sufficient sodium hydrosulfite.
Finally, it achieves the goal of energy saving and emission reduction, increasing productivity and so on.