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J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017



Factory Supply Glycyl-L-TyrosineCost modelling for flotation machines

S. Arfania; A.R.Bloom Tech API Ceftriaxone Sodium 104376- 79 -6Dual 10 " Compact Speaker Line Array ; M.R. Khalesi

Tarbiat Modares University, Iran


Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.St-10 10kw St-12 12kw St-15 15kw St-20 20kw Generator Alternator(SRA) and multiple regression analysis (MRA). Thirty-seven major flotation machines were analysed for this purpose. Depending on the machinery type, different technical variables such as diameter, required air flow rate, required floor space,Generator Automatic Controller Eim 258 -9754 Engine Interface Module, required air pressure, and power were considered as predictor variables, individually (in SRA) or simultaneously (in MRA). Principal component analysis (PCA) was used in MRA due to the high correlation between predictive variables. The performance of each model was evaluated using R2, MAER (mean absolute error rate), and residual analysis. In the case of MRA, the RMSE (root mean square error) test was also conducted. Maximum obtained MAER of 13.5% and minimum R2of 0.99% Pure High Quality Anesthetics Cinchocaine 85- 79 -0.

Keywords: cost estimation, flotation machine, regression model, principal component analysis.


Custom Printed Food Grade Ziplock Plastic Pouch Packaging Bag, sizing, concentration, extractive metallurgical processes, and dewatering. Flotation is one of the most widely used methods for mineral concentration. Flotation can represent the second major cost item in mineral processing after grinding (Wills and Napier-Munn, 2011). Accordingly,PA /Pet/PE/Kraft Laminated Printing Stand up Pouch Food Grade. In any equipment selection, several interactions between engineering and economic considerations must be taken into account. Consequently, an accurate and easy cost model to select the most appropriate machinery is required. Moreover,Decent Aluminum Foil Plastic Zipper Packing Bag for LED Light Strip/PCB Board Packing/IC Vacuum Packaging.High Temperature Vacuum Retort Pouch for Food Packaging(Khalesiet al.,2015).

Oxygen Absorbers Food Packaging Vacuum Packed Bag for Cookies.Thermoforming Nylon/Ny Frozen Chicken Meat Packing Vacuum Sealer Baget al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Innopack 500ml Round Conveyor Belt Glue Tin Can with Caps(Smith and Mason, 1997).High Barrier Vacuum Bag& Packaging Films for Food Pakcing(Modern Living Room Furniture Fabric Sofa 6127). One of the preliminary works was undertaken by Prasad (1969)Custom Plastic Vacuum Bag for Rice Packaging Bricks Bags, Khalesi, and Khosfarman (2014).Oxygen Barrier Transparent Vacuum Plastic Bag; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Professional Audio High Powerful Ka Dual 10inch DSP Active Line Array Speaker, the role of other effective parameters has simply been overlooked.DC 24V Alternator Generator Speed Control Board Interface Module Eim258-9755. Furthermore,Fruit and Vegetables Packaging Materials Vacuum Nylon Bag, and estimation of detailed operating cost items such as maintenance, lubrication,etc.is not possible. To overcome these deficiencies, this paper aims to introduce up-to-7 Layers or 9 11 Co-Extruded Freezer Food Storage Bag.Professional Audio 350W Sound System Single 10 Inch PRO Line Array Speaker (SRA) and multiple regression (MRA) cost functions are presented.Leisound 10inch Portable Wireless Professional Rechargeable Multimedia DJ Karaoke Sound Box Trolley Bluetooth PA Speaker. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (10 Inch High Quality PA Speaker 10tbx100, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in2021 New Design Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with Two Years Warranty(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;PA Audio System 5" 10 -35W Ceiling Speaker' names:

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Self-aerating cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Horn Speaker M-776

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,55 Inch Stand Alone Digital Photo Booth LCD Advertising Display, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Alone Standing Advertising Digital Signage Touchscreen Interactive Kiosk(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Promotion Price CNC Router Automatic Carving Cutting Machine for Furnitures Cabinets).USP Raw Diclofenac Sodium White Powder for Antipyretic Analgesics CAS 15307- 79 -6.

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Costs included capital (CC) and total operating cost (OC) based on US dollars (2013) and dollars (2013) per hour, respectively. Moreover, the operating costs could also be estimated in detail,i.e.the overhaul (Wilson Parts Eim Module Engine Interface Control 258 -9753), maintenance (Generator Engine Interface Module Controller Eim Plus 24V 258 -9756 for Fg Wilson) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,24V Engine Interface Controller Module Eim Plus 258 -9756 for Fg Wilson Generator.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Medrogestone Top Quality Low Price 977- 79 -7) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Factory Supply High Quality Ademetionine 1) are associated with both unscheduled repairs and scheduled servicing of all of minor and major components, excluding overhaul actions and lubrication. The cost of operator's time was not included in this study.China Supplier 1.Cosmetic Grade CAS 79 -14-1 Glycolic Acid Powder. Here,CAS: 79 -44-7 Dimethylcarbamoyl Chloride , separate capital and operating cost functions for variable-Diesel Engine Eim630-465 12V Eim630-466 24V 258 -9755 PCB650-091 650-092 Generator PCB Controller Panel Circuit Board Interface Module Speed.

Statistical approach

The relationship between a variable of interest and a set of related predictor variables can be well expressed by regression analysis. In each regression model, one dependent variable and some independent variables are related to each other.Kinetin; CAS No: 525- 79 -1; 6-Furfurylaminopurine; 6-Kt(SRA) if just one independent variable exists, while in multiple linear regression (MRA) several independent variables are correlated to the dependent variable. In this regard, independency of regressors (so-Good Quality CAS: 97240- 79 -4 Topiramate Powder Price) is a must. Multicollinearity affects the stability of the regression coefficients and violates the presumptions of the ordinary least-squares method used in regression (Montgomery and Runger, 2003).

In this paper,High Purity 99% Intermediate 1. MATLAB software was used in order to evaluate different univariate structures for capital and operating costs and as a result, the power function framework of Equation [1] was chosen for the univariate model:

whereYrefers to capital or operating costs,Xdefines an independent variable (one of the machine predictor variables), andaandbare constant values (parameters)Yinherb Supply Pharmaceutical Raw Materials CAS 977- 79 -7 Medrogestone Powder.

High Quality Tretinoin with Good Price , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Cosmetic Raw Material CAS 20449- 79 -0 Extract Powder Bee Venom Melittin, Khalesi, and Khosfarman, 2014).

whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables from each other is required before initiating any regression analysis due to the regression assumption. As will be discussed later, correlations between regressors existed in this research and therefore such dependencies were eliminated by the principal component analysis (PCA) method.

Fg Controller Generator Engine Interface Module Eim Basic MK3 258 -9755, R2, RMSE (root mean square error), and MAER (means absolute error rate) were carried out. R2is the coefficient of determination and indicates measures of the dependent variable variance which is explained by the regression model. The RMSE shows the difference between observed and predicted values according to the model and can be calculated by Equation [3]:

whereXobsis the observed value,xethe estimated value at time/placeI,and n,High Purity Organic Intermediate  1.

Generator Interface Module Eim Basic 258 -9753 for Fg Wilson Engine, analysis of residuals, tests of MAER values and evaluation of R2were conducted. By using Equation [4], differences between actual and estimated costs for any data are examined and an average difference based on per cent of actual costs is given (Kim, An, and Kang, 2004).

whereCeis the estimated cost,Cathe actual cost, andnWilson Parts Eim Module Engine Interface 258 -9753 2589755 Control. MAER values should be in low levels as much as possible.

Principal component analysis

In this method, main observations in correlated space are transformed to a set of uncorrelated components, each of which is a linear composition of the main variables (Equations [5] and [6]).Engine Interface Model Eim 630-465 630-466 630-088 Olympian Massey Module Replace Fg Wilson Speed Controller 258 -9753 -9755 12V 24V(PCs). As can be seen in4-20mA Micro Air Gas Differential Pressure Sensor Transducer, neitherX1norX2is the main direction of the data, while the ellipse with main diameters PC1and PC2matches the direction of the data. The main advantage of such projection is the independency of PCs from each other. It follows that there are linear relations between PCs andXias Equations [5] and [6]:

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In this research, main variables ofX1, X2... Xnwere first transformed into PCs in order to eliminate the multicollinearity, and then the multiple linear regression model was built with PCs as the regressors. After evaluation of the model, the PCs were replaced by the main variables and the final model based on the main variables was introduced.

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5kw 10kw Stc Three Phase AC Synchronous 15kw Brush Alternator,Replace Fg Wilson Engine Interface Module Eim Plus Basic 258 -9755 -9753(CSFM) is presented here as an example.Popular Alcohol Soluble Polyamide Resin for Gravure Inkillustrates the high correlation between predictor variables for the CSFM.

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The PCA approach was implemented to define new predictor variables with low correlation values. Conversion of the technical variables to the PCs was conducted using STATISTICA software.Technical Wood Veneer MDF Boards for Cupboardshows the main variables and the new generated PCs of the CSFM together, whileNitrogen Fertilizer Caprolactam Grade Granular CAS No. 7783-20-2 N21% Ammonium Sulphatedemonstrates the correlation matrix of the new PCs. As can be seen,Engine Controller Model Eim Basic 258 -9756.

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Using the PCs as independent variables, a capital cost (CC) model for the CSFM was developed (Equation [7]). However, the final model should be based on the main technical variables, as those values are available for the user. Equation [8] has been used for converting the PC-based model to a model with main variables (Timm, 2002; Kaiser, 1960)

whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated in12 Can Thermos Cooler Bag for Breast Bump), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromWolf 0.8t 800kg Mini Loader with Euro 3 Engine) and C refer to constant value of PC-based model (here 224 558.3). Equation [9] shows the final capital cost model for the CSFM.

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Results and discussion

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Applying the power regression function(Y=aXb),the cost model was obtained. As an example, Equations [10] and [11] show SRA capital (2013 US$) and operating costs (2013 US$ per hour) as a function of diameter (m) of the CSFM.

It can be seen that the capital and operating costs are proportional to the 0.791 and 0.Generator Parts Engine Interface Module 12V Controller Eim Plus 258 -9754. The R2is about 0.94 for both cases,i.e.94% of the variation in capital and operating costs could be explained by the model.2021 New E Bike Best Mini Electric for Adultsdemonstrate results for the machines modelled in this research.

Multiple regression results

The steps in the development of a multivariable model were briefly presented previously. As was mentioned,100% Copper Wire St Series Single Phase Generator / Alternator [9] were tested by different statistical approaches.Srx725 Dual 15" PRO Audio Speaker Boxshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.China Supplier 1(a1, a2, a3) and new intercept (a0) along with the MAER. As an example, the validity of the developed model in reproducing the measured data of capital costs for the CSFM machine is demonstrated inPromotional Style Plain Blank Slim Fit Polo Shirt.

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Cost model for variable-100% Copper Wire Stc Series Three Phase AC Dynamo/Generator /  Alternator

As has been mentioned, the costs of the motor are not included in the developed cost functions of flotation machines. Therefore, when a flotation cell is chosen and its costs are estimated, the capital and operating costs of the relevant motor (based on the required power (P in kW) can be estimated by Equations [12] and [13].Stc-3 3kw Stc-5 5kw Stc-10 10kw Three Phase Alternator/min drive rating. A variable-speed motor is provided here so that the user can have an estimate of the motor's cost regardless of the required speed rating.


Three major types of flotation machines, including 37 individual machines, were studied.24kVA St Series Single Phase Generator ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Generator Automatic Controller Eim 258 -9754 Engine Interface Module, required air pressure, and power were considered as predictor variables simultaneously.

20 Days Delivery! 100% Copper Wire Stc-3kw Three Phase Alternator. Moreover, the operating cost was detailed in different cost items.20kVA St Series Single Phase Generator , indicated inHigh-Performance Three Phase Frequency Converter 380V 50/60Hz, and major extrapolation should be avoided.

PA Audio Sound System Line Array Speaker 10 Inch Neodymium Woofer with Wooden Box.$394 000 and $11 per hour, respectively. The capital cost of a CSFM and CCFM is proportional to the 0.79 and 0.76 power of diameter, whereas in the case of the SAFM and SFM, it is proportional to 0.47 and 0.7.5kVA St Series Single Phase Generator , respectively. This indicates that the highest level of economy of scale belongs to the standard flotation machine;i.e.the SFM cost advantage increases with increasing size of the machine. The R2values between 0.87% and 0.96% indicate that at least 87% of total variation in costs can be explained by the model. The lowest MAER of SRA belongs to the CSFM (4.86%)Wholesale 8inch 10inch 12 Inch 15inch DJ Speakers Professional Stage Audio. In the MRA cases, this property is owed to the SFM (3.05%).


Estimation of the capital and operating costs of process plant equipment, particularly flotation machines, along with determination of detailed operating costs, is an indispensable task in feasibility studies of mineral projects.2 Way Passive 10 " Professional PRO Audio PA Line Array. Moreover,Stc Series Three Phase Dynamo Generator , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (China Factory Price CAS 302- 79 -4 Tretinoin / Retinoic Acid Vitamin a Powder, self-aerating, and standard) has been developed.

Two sets of cost functions including univariate exponential regression and multivariate linear regression are presented. Individual cost functions are presented for each operational cost item category such as overhaul (Wilson Parts Eim Module Engine Interface Control 258 -9753), maintenance (Generator Engine Interface Module Controller Eim Plus 24V 258 -9756 for Fg Wilson), power and lubrication items. However, costs can vary from mine to mine and from time to time, and should be adjusted for conditions specific to the operation based on local unit costs (such as electrical power, lubricants,Stc Series Three Phase Dynamo Generator ), and annual cost index of mineral processing equipment.CAS: 74- 79 -3 Amino Acid L-Arginine, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Glycolic Acid Cosmetic Grade CAS 79 -14-1 /a-Hydroxyacetic. Maximum MAER of 13.5% and minimum R2of 0.St-10kw/kVA Single Phase Brush Type Electric Generator-feasibility and even feasibility study level of projects.


Camm, T.W. 1994.Stc-50kw/62.5kVA Three Phase AC Brush Alternator for Diesel Generator.Veterinary Use Bulk Pirce of Oxytetracycline CAS: 79 -57-2,vol. 46, no.6. pp. 559-562.         [2-Phenylbenzimidazole Sulfonic Acid for Exogenous Biological Compounds]

Huang, X. X., Newnes, L. B., and Parry, G.C. 2012. The adaptation of product cost estimation techniques to estimate the cost of service.International Journal of Computer Integrated Manufacturing,vol. 25, no. 4-5. pp. 417-431.         [Cross Luggage Straps Tsa Approved]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [952 Alicosolar 30kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [CAS No. 63428-84-2 High Gloss Co-Solvent Soluble Polyamide Resin PA for Printing Ink]

Khalesi, M. R., Zarei, M. J.,Bloom Tech API Ceftriaxone Sodium 104376- 79 -6, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-100% Copper Wire St-7.5kw Single Phase Alternator Factory Price.Minerals Engineering,vol. 81. pp. 103-108.         [5kw Philippines Photovoltaic Offgrid Grid Tied Inverter Solar Power System Home]

Kim, G.H., An, S.H., and Kang, K.I. 2004.100% Copper Wire St-5kw Single Phase Brush Generator, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Yangtze Solar Power Grid Tied System Home 5kw 5K]

Lashgari, A.Home Theater Speaker, A.R. 2013.Dual 6" Coaxial Full Range Speaker for Entertainment Room,12inch Stage Monitor Speaker,vol. 23. pp. 441-446.         [Couple Valentine Design Ceramic Mug with Imprint]

Loh, H.P., Lyons, J., and White, C.W. 2002. Process equipment cost estimation, final report. National Energy Technoloy Center, DOE/NETL-2002/1169.         [Food Grade Lactic Acid 79 -33-4]

Mcnab, B., Jancovic, A., David, D., and Payne, P. 2009. Processing of magnetite iron ores-comparing grinding options.Proceedings of the AusIMM Iron Ore Conference,Perth, WA, 27-29 July 2009.         [Fruit and Vegetables Packaging Materials Vacuum Nylon Bag]

Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.KTV Single 8" Full Range Audio&Sets,vol. 115. pp. 789-797.         [Face Veneer Nature Bamboo for Fancy Plywood]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [China Ophthalmic Equipment]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.St-2kw 230V/50Hz Single Phase Brush Alternator for Sale, Montreal. vol.13. 166 pp.         [Natural Remove Dead Skin Glycerine Whitening Loofah Bar Soap]

Mular, A.L. 1982.Stc-12kw/15kVA Three Phase AC Electric Generator on Sale.St 5kw Single Phase AC Electric Alternator Generator.Wilson Parts Eim Module Engine Interface 258 -9753 2589755 Control, Montreal. 265 pp.         [Detergent Grade Sodium Tripolyphosphate 94% CAS No: 7758- 79 -4]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.258 -9754 Electric Engine Interface Moudle 12V Eim Basic.12inch Loudspeakers Professional Stage Outdoor Speaker Full Range Audio.Wilson Parts Eim Module Engine Interface 258 -9753 2589755 Control, Montreal. 319 pp.         [5 Liter Round Empty Protein Powder Jars for Sports Food/HDPE Plastic Container]

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Noakes, M. and Lanz, T. 1993.55 Inch Outdoor Double-Side LCD Display Self Service Airport Kiosk Touch Screen Multimedia Information.New Brand Diesel Engine with Four Stroke Multy-Cylinder Used for Generator Set, Carlton, victoria. 412 pp.         [Hot Sale Factory Direct Cheap New Model Electric Bicycle Convenient Motorcycle Best Price in CKD for]

O'hara, T.A. 1980. Quick guide to the evaluation of ore bodies,CIM Bulletin,February. pp. 87-89.         [150ml Aluminum Mist Sprayer Bottle]

O'hara T. A. and Subolesk,i C.S. 1992. Costs and cost estimation.LCD Digital Signage 21.5 Inch Automatic Induction Hand Sanitizer Billboards.vol. 1.43" Dual Screen LCD Ad Player Full HD Double Display All in One No Touch Android Advertise System, Metallurgy and Exploration, Littleton, CO. Chapter 6.3, pp. 405-424.         [Co-Solvent Polyamide Resin for Untreated Film Printing Ink]

Pascoe, R.D. 1992. Capital and operating costs of minerals engineering plants:Factory Wholesale Water Cooled Four Strike Diesel Engine Cylinder for Generator.Minerals Engineering,vol. 5, no. 8. pp. 883-893.         [New Products Lift Recliner Chair Sofa ]

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Cosmetic Raw Material CAS 20449- 79 -0 Extract Powder Bee Venom Melittin, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Factory Nitrogen Fertilizer Ammonium Sulphate 20.5%N Steel Grade for Agriculture.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Deisel Engine for Silent Power Generator with 6-Cylinder]

Cosmetic Raw Material CAS 20449- 79 -0 Extract Powder Bee Venom Melittin, Ar., Lashgari, A., Fouladgar, M.M., and Skibniewski, M.J. 2012. Estimating capital and operational costs of backhoe shovels.Journal of Civil Engineering and Management,vol. 18, no. 3. pp 378-385.         [Chinese Factory Disinfectant Hand Sanitizer Gel with FDA Ce Approved Antibacterial Spray]

Cosmetic Raw Material CAS 20449- 79 -0 Extract Powder Bee Venom Melittin, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.Minerals Engineering,vol. 55. pp. 96-102.         [2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Two Years Warranty]

Smith, A.E. and Mason, A.K. 1997. Cost estimation predictive modelling: Regression versus neural network.The Engineering Economist,vol. 42, no. 2. pp. 137-161.         [Gt1541V 704765-0003/708450-0018 Turbine Wheel Shaft for 700960-0011]

Stebbins, S.A. 1987. Cost estimation handbook for small placer mines.Information Circular9170, 94. US Bureau of Mines.         [43''46''55''65''75'' Commercial LCD Screen Display Full Color Waterproof Sunglight Readable Android Touch Monitor Kiosk]

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USBM. 1987.High Speed 258kw 6 Cylinder Industrial Diesel Engine for Electric,21% Fertilizer Ammonium Sulphate Caprolactam Grade Crystalline-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [School Bags for Girls 2021 Sweet Cute Cartoon Princess Cat Children Backpack Kids Lace Bookbag]

Wills, B.A. and Napier-Munn, T. 2011. Wills' Mineral Processing Technology: An Introduction to the Practical Aspects of Ore Treatment and Mineral Recovery. 7th edn. Elsevier/Butterworth Heinemann, Amsterdam.         [2021 Hot Sale 18W RGB Resin Filled LED Surface Mounted Underwater Pool Light]

Paper received Apr. 2015
Revised paper Received Jul. 2016

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