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It is a technique used for the modelling and analysis of numerical data consisting of values of a dependent variable (response variable) and of one or more independent variables (explanatory variables).
The design of the experiments requires selecting the levels of input data so that the regressor matrix is fully determined, and that the matrix ensures the conditions of orthogonality, rotatability and symmetry [9].
The deterministic coefficient R2 of multiple determinations estimates the fraction of total variation in the data accounted by the model [9].
The decrease of any of those parameters influences the reduction of neck wall thickness.
It decreases along the axial direction and reaches maximum reduction at the top of expanded hole.

Methodology The data collection for the study was carried between December 2007 and May 2008.
The modulation reduction factor is calculated at each octave bands of 250 Hz, 500 Hz, 1000 Hz, 2000 Hz and 4000 Hz.
Data shows that Masjid Jamek meets the suggested guideline for background noise when the fans are not operating but does not meet the guideline when the fans are operating.
The RT60 values for Masjid Jamek were significantly lower and also show an overall reduction as the number of occupants increase.
It must be noted that this guideline is based on the data from only two specific mosques in Malaysia, limiting the accuracy of any generalization thereof.

We show that the superposed bridging mechanism strongly interacts with the inherent rigidity effect of gradient elasticity, hence the total reduction of the J-integral will be likely more pronounced than a mere sum of these two contributions.
To this end a homogenized cracked Bioglass® foam is analyzed using the strain/stress-based Ru-Aifantis [4] approach which is extended to enforce the equilibrium of nonlocal stresses via the Lagrange multiplier method, since the original Ru-Aifantis approach does not provide us with data concerning the cups-like closure of crack caused by the inherent rigidity effect of gradient elasticity.
Thus, the total reduction of the J-integral calculated along a remote path is given by the resisting force arising from the bridging traction and the reduction of the crack tip extension force.

The recharge volume Based on the analysis of rainwater quantity and quality, the available rainfall of roof is calculated by the following formula [2]: Q=Ψ·α·β·A(H·10-3) Where: Q is the annual average available rainfall of roof (m3); Ψ is the runoff coefficient, which equals 0.9; α is the seasonal reduction coefficient; β is the initial rainwater removal coefficient; A is the horizontal projection of roof area (m2); H is the average annual rainfall (mm).
The seasonal reduction coefficient (α) must be determined by the analysis of multi-year statistics of local Weather Bureau.
Considering the factors such as climate, seasons and so on, the seasonal reduction coefficient of the available rainfall in Jinan was determined as 0.85.
Based on the data of rainfall and water quality, the initial rainwater removal coefficient was decided as 0.85.

The obtained data are listed in table 1.
From Fig.2, we can also see the flow 2.0 2.5 3.0 3.5 4.0 4.5 2 3 4 5 6 7 8 9 10 11 12 Stress (GPa) Mean grain size (nm) Compression flow stress Tension flow stress Compression yield stress Tension yield stress Fig. 1 The yield and flow stress variation along with mean grain size in tension and compression simulation 0.0 -0.2 -0.4 -0.6 -0.8 -1.0 0 -5 -10 -15 -20 Stress (GPa) Strain 4.23 nm 3.55 nm 2.66 nm 2.13 nm Ⅰ Ⅱ Ⅲ Fig. 2 The stress-strain curves of nanocrystalline Fe under compression condition stress decrease with the reduction of mean grain size.
It is possible the grain boundary as a special phase and the function of grain boundary as shear sliding band disappears as the reduction of systematic order degrees resulted in region Ⅰ.
Summary (1) The yield and flow stress of nanocrystalline Fe decrease with reduction of grain size in tension and compression.

An analytical calculation of dynamic forces in mechanism was solved by the method of mass reduction and force parameters [3].
The method of the mass reduction and force parameters is based on the balance of the flow of mass, momentum, and energy of multi-body systems.
Reduction of force effects is realized through the equal the power of work forces and reduced system performance of work forces of the initial multi-body system, which neglects gravitation forces.
Pressure [MPa] a) b) Fig. 9 a) Equivalent (von-Mises) stress, b) Curve of equivalent (von-Mises) stress Sumary The outputs of the simulations contain a large amount of data on individual parts of the virtual prototype (speeds, accelerations, position, interactions of the force, etc.).

The following methods are used to prepare nitride: direct nitrizing method, carbon thermal reduction method, benzene thermal method[5, high temperature self-spreading method[6], gas phase method, and aminolysis method etc.[7], while direct nitrizing method including high energy ball milling[8] and mechanical activation methods[9].
But if nitrizing is carried under normal pressure, reduction process using tubular furnace, and materials putting on ceramic plate, the raw material layer cannot be thicker (less than 5 millimeter), otherwise the temperature cannot be lowered, time cannot be shorten, the nitrizing will be incomplete, and the grain sizes can be larger.
Mixing and contacting of reacting gas (ammonia and hydrogen) with nanopowder are improved greatly, thus resultant nanograin size reduction becomes possible.
The data is in agreement with gas-solid reaction mechanism analysed by Szekely [12] and Qingyin Ge [13], and proves that system pressure has large effects on aminolysis temperature and pressure.

The potential for Fe(III) reduction seems to be widespread among acidophilic heterotrophs.
The utilization of Fe(III) and reduction of schwertmannite Fe(III) and reduce schwertmannite by genus Alicyclobacillus was reported previously[8].
Our research also finds that when Alicyclobacillus was present, the formation of jarosite was diminished in chalcopyrite bioleaching at high temperature (unpublished data).
Considering the Fe(III) reduction ability, it seems under high temperature, that the presence of Alicyclobacillus may: a. help to reduce jarosite; b. help to reduce Fe(III) coupled with sulphur oxidation.

Ko [4] investigated the structure-borne noise reduction for infinite elastic cylindrical shell with elasticity equation, and utilized the insertion loss of the pressure to describe the effect of coated layer.
The baseline data used for the calculations is in reference [4,5].
The explanations are as follows: When thicknesses of coated layer is equal to integral multiple of half wavelength plus one-quarter wavelength[4,5], the maximum amount of the noise reduction is obtained.
(8) And when thicknesses of coated layer is equal to integral multiple of half wavelength[4,5], the minimum amount of the noise reduction is obtained.

This approach offers important benefits such as improved structural stiffness of an aircraft, reduction of labor, time and tooling costs required for assembly operations, reduction of inventory etc. [1].
A schematic diagram of the device for incremental forming equipped with sensors of the control and data acquisition system: 1 - punch, 2 - pressure plate, 3 - working rolls, 4 - segmental punch, 5 - press table, 6 - die, 7 - workpiece, 8 - punch retainer Fig.2.
Division of a punch into segments and pressing them by moving rolls causes temporary load exertion only on a small fragment of the workpiece surface, enabling significant reduction of the required press load.