SPECTROPHOTOMETRIC DETERMINATION OF PIZOTIFEN MALEATE IN BULK DRUG AND TABLETS USING N-BROMOSUCCINIMIDE AND THREE DYES

Size: px
Start display at page:

Download "SPECTROPHOTOMETRIC DETERMINATION OF PIZOTIFEN MALEATE IN BULK DRUG AND TABLETS USING N-BROMOSUCCINIMIDE AND THREE DYES"

Transcription

1 Innovre Acdemic Sciences Interntionl Journl of Phrmcy nd Phrmceuticl Sciences ISSN Vol 6, Issue 4, 2014 Originl Article SPECTROPHOTOMETRIC DETERMINATION OF PIZOTIFEN MALEATE IN BULK DRUG AND TABLETS USING N-BROMOSUCCINIMIDE AND THREE DYES ALAA S. AMIN 1, RAGAA EL SHEIKH 2, MOSTAFA M. MOSTAFA 1, AYMAN A. GOUDA 2,3 *, EMAN H. YOUSSEF 1 1 Chemistry Deprtment, Fculty of Sciences, Benh University, Benh, Egypt, 2 Chemistry Deprtment, Fculty of Sciences, Zgzig University, Zgzig, Egypt, 3 Fculty of Public Helth nd Informtics, Umm AL-Qur University, Mkkh, Sudi Arbi. Emil: ymngoud77@gmil.com, Received: 03 Feb 2014 Revised nd Accepted: 26 Feb 2014 ABSTRACT Objective: Three sensitive spectrophotometric methods re presented for the ssy of pizotifen mlete (PZT) in bulk drug nd phrmceuticl formultion (tblets) using N-bromosuccinimide (NBS) nd three dyes, methyl ornge, mrnth nd indigo crmine, s regents. Methods: The methods involve the ddition of known excess of NBS to drug in cid medium, followed by determintion of unrected oxidnt by recting with fixed mount of methyl ornge nd mesuring the bsorbnce t 522 nm (method A), mrnth nd mesuring the bsorbnce t 507 nm (method B) or indigo crmine nd mesuring the bsorbnce t 610 nm (method C). Results: In ll methods, the mount of NBS rected corresponds to the mount of drug nd the mesured bsorbnce is found to increse linerly with the concentrtion of drug which is corroborted by the correltion coefficients of The systems obey Beer s lw for , nd μg ml -1 for methods A, B nd C, respectively. The limits of detection nd quntifiction re lso reported. Intr-dy nd inter-dy precision nd ccurcy of the methods hve been evluted. Conclusion: The methods were successfully pplied to the ssy of PZT in tblets preprtions nd the results were sttisticlly compred with those of the reference method by pplying Student s t-test nd F-test. No interference ws observed from the common tblet excipients. The ccurcy of the methods ws further scertined by performing recovery studies vi stndrd-ddition method. Keywords: Spectrophotometry; Pizotifen mlete; N-bromosuccinimide; Methyl ornge; Amrnth; Indigo crmine; Tblets. INTRODUCTION Pizotifen mlte (PZT), chemiclly known s 9, 10-dihydro-4-(1- methylpiperidin-4-ylidene)-4h benzo [4,5] cyclohept [1, 2-b] thiophene hydrogen mlte (Fig. 1) [1]. Pizotifen is sedting ntihistmine tht hs strong serotonin ntgonist nd wek ntimuscrinic properties. It lso ntgonises the ction of tryptmine. Pizotifen is used, usully s the mlte, for the prophylxis of migrine nd for the prevention of hedche ttcks during cluster periods. It is not effective in treting n cute ttck [2]. The drug is officil in British Phrmcopoei [1], which describes potentiometric titrtion with perchloric cid in nhydrous cetic cid medium. Fig. 1: The chemicl structure of pizotifen mlte (PZT) Severl nlyticl methods hve been reported for the determintion of PZT in pure drug, phrmceuticl dosge forms nd in biologicl smples using high performnce liquid chromtogrphy[3 7], tomic bsorption spectroscopy [8], spectrophotomety [8, 9] nd spectrofluorimetry [9]. Severl visible spectrophotometric methods bsed on colour rections involving the mino or thiophene of the pizotifen molecule cn be found in the literture. El-Kousy nd Bebwy [8] hve developed three methods for the ssy of PZT in bulk drug nd in tblets; the first method ws bsed on extrction of drug-coblt thiocynte ternry complex with methylene chloride nd estimtion by indirect tomic bsorption method vi the determintion of the coblt content in the complex fter extrction in 0.1M hydrochloric cid t nm in concentrtion rnges from μg ml -1. The second method is bsed on the formtion of ornge red ion pir by the rection of PZT nd molybdenum thiocynte with bsorption mxim t nm in dichloromethne in the concentrtion rnges μg ml -1. The third method ws chrge trnsfer rection between PZT nd 2,3- dichloro-5,6-dicyno-p-benzoquinone in cetonitrile medium t 588 nm in concentrtion rnge µg ml -1. Dessouky et l., hve determined PZT in tblets using three spectrophotometric nd one spectrofluorimetric methods, the first spectrophotometric method ws bsed upon mesuring the bsorbnce of the investigted drug t λ = 317 nm fter its tretment with concentrted sulfuric cid in concentrtion rnges µg ml -1. The second method comprised rection between formldehyde nd PZT in the presence of concentrted sulfuric cid nd mesured t λ = 480 nm in concentrtion rnges µg ml -1. In the third method, PZT ws determined spectrophotometriclly by pplying the first derivtive technique (D1). Quntittive determintion ws crried out by mesuring the first derivtive (D1) of the trough t λ = 238 nm in concentrtion rnges µg ml -1. The spectrofluorimetric method involved the rection of the cited drug nd citric cid/cetic nhydride system nd mesuring the reltive fluorescence intensity of the rection product t 485 nm fter excittion t 385 nm in the concentrtion rnge µg ml -1 [9]. However, the reported spectroscopic techniques suffer from some other disdvntge such s poor sensitivity, dependence on criticl experimentl vribles, tedious nd time-consuming extrction steps, heting step, nd/or use of expensive regent or lrge mounts of orgnic solvents.

2 Goud et l. Int J Phrm Phrm Sci, Vol 6, Issue 4, From the foregoing prgrphs, it is cler tht N-bromosuccinimide (NBS) despite its strong oxidizing power, verstility, high oxidtion potentil nd high stbility in solution hs not been pplied for the ssy of PZT in pure form nd tblets. This pper describes for the first time the ppliction of cidic N-bromosuccinimide (NBS) to the spectrophotometric determintion of PZT using methyl ornge, mrnth nd indigo crmine s chromogenic gents. N-bromosuccinimide (NBS) hs erlier been widely pplied for the ssy of vriety of phrmceuticls [10 16]. The proposed methods hve the dvntges of speed nd simplicity besides being ccurte nd precise, nd cn be dopted by the phrmceuticl lbortories for industril qulity control. MATERIALS AND METHODS Apprtus All bsorption spectr were mde using Kontron Unikon 930 (UV- Visible) spectrophotometer (Germn) with scnning speed of 200 nm/min nd bnd width of 2.0 nm, equipped with 10 mm mtched qurtz cells. Mterils nd Regents All chemicls nd regents used were of nlyticl or phrmceuticl grde nd ll solutions were prepred fresh dily. Double distilled wter ws used throughout the investigtion. Mterils Phrmceuticl grde pizotifen mlete (PZT) ws supplied from (Novrtis, Egypt). Mosegor tblets, lbeled to contin (0.5 mg PZT per tblet) were purchshed from locl commercil mrkets. Stndrd PZT solution A stock stndrd solution of PZT (100 μg ml -1 ) ws prepred by dissolving n exct weight (10 mg) of pure drug in bidistilled wter nd diluted to 100 ml with bidistilled wter in 100 ml mesuring flsk. The solution ws diluted stepwise to get working concentrtion of 10 μg ml -1. The stndrd solutions were found stble for t lest one week without ltertion when kept in n mber coloured bottle nd stored in refrigertor when not in use. Regents - N-bromosuccinimide (NBS): An pproximtely 0.01M NBS solution ws prepred by dissolving bout 1.8 g of chemicl (Sigm- Aldrish) in wter with the id of het nd diluted to one liter with wter nd stndrdized iodometriclly [17]. The solution ws kept in n mber coloured bottle nd ws diluted ppropritely to get 100 μg ml -1 NBS for use in ll methods. The NBS solution ws stored in refrigertor when not in use. - Potssium bromide, KBr (1.0% w/v). - Hydrochloric cid (5.0 M): A 5.0 mol L 1 of HCl ws prepred by diluting 43 ml of concentrted cid (Merck, Drmstdt, Germny, Sp. gr. 1.18, 37%) to 100 ml with bidistilled wter nd stndrdized s recommended previously [18] prior to use. - Methyl ornge (50 μg ml -1 ): A 500 μg ml -1 dye solution ws first prepred by dissolving ccurtely weighed 58.8 mg of dye (Sigm-ldrish, 85% dye content) in wter nd diluting to 100 ml in clibrted flsk nd filtered using glss wool. It ws further diluted to obtin working concentrtion of 50 μg ml Amrnth (200 μg ml -1 ): A 1000 μg ml -1 stock stndrd solution ws first prepred by dissolving ccurtely weighed 112 mg of dye (Sigm-ldrish, 90% dye content) in wter nd diluting to volume in 100 ml clibrted flsk. The solution ws then diluted 5.0-fold to get the working concentrtion of 200 μg ml Indigo crmine (200 μg ml -1 ): A 1000 μg ml -1 stock stndrd solution ws first prepred by dissolving ccurtely weighed 112 mg of dye (Sigm-ldrish, 90% dye content) in wter nd diluting to volume in 100 ml clibrted flsk. The solution ws then diluted 5.0-fold to get the working concentrtion of 200 μg ml -1. Recommended generl procedures Different liquots ( ml), ( ml) nd ( ml) of stndrd 10 μg ml -1 PZT solution for methods A, B nd C, respectively were trnsferred into series of 10 ml clibrted flsks by mens of micro burette nd the totl volume ws djusted to 5.0 ml by dding dequte quntity of wter. To ech flsk were dded 1.0 ml ech of 5.0 M HCl; 1.0 ml of NBS solution (100 μg ml - 1 ) nd 1.0 ml of 1.0% KBr were dded successively. The flsks were stoppered, content mixed nd let stnd for 15 min with occsionl shking. Finlly, 1.0 ml of (100 μg ml -1 ) methyl ornge nd (200 μg ml -1 ) mrnth or indigo crmine solution ws dded (ccurtely mesured) nd the volume ws diluted to the mrk with wter nd mixed well. The bsorbnce of ech solution ws mesured t 522, 507 nd 610 nm for methods A, B nd C respectively fter 5.0 min ginst regent blnk. In ll methods, stndrd grph ws prepred by plotting the bsorbnce versus the concentrtion of drug. The concentrtion of the unknown ws red from the clibrtion grph or computed from the regression eqution derived using Beer s lw dt. Procedure for phrmceuticl formultions (tblets) The contents of twenty Mosegor tblets (0.5 mg PZT per tblet) were weighed ccurtely nd ground into fine powder. An ccurte weight equivlent to 0.5 mg PZT ws dissolved in 20 ml of 0.2 M HCl with shking for 5.0 min nd filtered using Whtmn No. 42 filter pper.. The filtrte ws diluted to the mrk with 0.1 M HCl in 50 ml mesuring flsk to give nd 10 μg ml -1 stock solution of PZT for nlysis by spectrophotometric methods A, B nd C, respectively. A convenient liquot ws then subjected to nlysis by the spectrophotometric procedures described bove. Determine the nominl content of the tblets either from previously plotted clibrtion grph or using the corresponding regression eqution. RESULTS Absorption spectr A close exmintion of the literture serch presented in the introduction revels tht NBS hs not yet been used for the spectrophotometric determintion of GMF or MXF. NBS is strong oxidizing gent nd perhps the most importnt positive bromine contining orgnic compound; it is used for the specific purpose of brominting lkenes t the llylic position [19]. Fig. 2: Absorption spectr for the unrected oxidnt tht determined by recting with fixed mount of dyes nd mesuring the bsorbnce t 522, 507 nd 610 nm for methods A, B nd C, respectively. 219

3 Goud et l. Int J Phrm Phrm Sci, Vol 6, Issue 4, The present work involves the bromintion of PZT by NBS followed by determintion of surplus NBS fter llowing the bromintion rection to complete. The bility of NBS to oxidize PZT nd blech the colors of methyl ornge, mrnth nd indigo crmine dyes hs been used for the indirect spectrophotometric ssy of the drugs. In the three methods, the drugs re rected with known excess of NBS in cid medium nd the unrected oxidnt is determined by recting with fixed mount of dyes nd mesuring the bsorbnce t 522, 507 nd 610 nm for methods A, B nd C, respectively, the bsorbnce incresed linerly with incresing concentrtion of drug (Fig. 2). Effect of cid concentrtion The hydrochloric cid ws found most pproprite. The effect of HCl ws studied nd ml of 5.0 M HCl in totl volume of 5.0 ml ws found to hve constnt effect on both rections (i.e. Drug with NBS, nd residul NBS with dyes). The results presented in Fig. 3 indicted tht, t ml of 5.0 M HCl, there ws lmost sme bsorbnce vlues were obtined in the presence of PZT, the bsorbnce vlues obtined were constnt nd were lmost the sme s those of the regent blnk. At the cid volumes less thn 1.0 ml, rection led to go slower nd incomplete. Therefore, 1.0 ml of 5.0 M HCl ws used though out the study (Fig. 3). Absorbnce Volume of HCl (5.0 M) Method A Method B Method C Fig. 3: Effect of volume of HCl (5.0 M) of the oxidtion product of PZT with NBS nd dyes. Effect of regents Preliminry experiments were performed to determine the mximum concentrtions of the dyes spectrophotometriclly in cid medium, nd these were found to be 10, 20 nd 20 μg ml -1 for methyl ornge, mrnth nd indigo crmine, respectively. A NBS concentrtion of 10 μg ml -1 ws found to irreversibly destroy the red colour of 10 μg ml -1 methyl ornge, wheres 10 μg ml -1 NBS ws required to destroy the red nd blue colours of 20 μg ml -1 mrnth nd indigo crmine, respectively in HCl medium. Hence, different concentrtions of drugs were rected with 1.0 ml of 100 μg ml -1 NBS in ll methods before determining the residul NBS s described under the respective procedures. 1.0 ml of KBr (1.0%) ws chosen s optimum volume in 10 ml totl volume to ccelerte the oxidtion process. Effect of time nd temperture The rection time between PZT nd NBS ws studied by stnding the drug solution fter mixing with NBS for different intervls of time in the presence of 1.0 ml of 5.0 M HCl nd the results indicted tht time of min ws required to complete of the rection. Therefore, 10 min rection time ws fixed s optimum fter the ddition of NBS. A sufficient time to completely blech dyes due to unrected NBS ws found to be 5.0 min, nd the sme ws fixed in ll subsequent studies. Rising the temperture does not ccelerte the oxidtion process nd does not give reproducible results, so the optimum temperture is the mbient (25±1 C). The mesured colour ws found to be stble for severl hours in the presence of the rection product/s in the three methods. Effect of sequence of ddition Drug cid NBS KBr-(dye) is the optimum sequence of ddition; other sequences gve lower bsorbnce vlues under the sme experimentl conditions. Method of vlidtion The proposed methods hve been vlidted for linerity, sensitivity, precision, ccurcy, selectivity nd recovery. Linerity nd sensitivity: Under the optimum conditions liner correltion ws found between bsorbnce λmx nd concentrtion of PZT in the rnge of ( μg ml -1 ). The clibrtion grph is described by the eqution: A = + b C (1) (where A = bsorbnce, = intercept, b = slope nd C = concentrtion in μg ml -1 ) obtined by the method of lest squres. Correltion coefficient, intercept nd slope for the clibrtion dt re summrized in Tble 1. For ccurte determintion, Ringbom concentrtion rnge [21] ws clculted by plotting log concentrtion of drug in μg ml -1 ginst trnsimittnce % from which the liner portion of the curve gives ccurte rnge of microdetermintion of PZT nd represented in Tble 1. Sensitivity prmeters such s pprent molr bsorptivity nd Sndell s sensitivity vlues, s well s the limits of detection nd quntifiction, were clculted s per the current ICH guidelines [22] nd illustrted in Tble 1. The high molr bsorptivity nd lower Sndell sensitivity vlues reflect the good nd high sensitivity of the proposed methods. The vlidity of the proposed methods ws evluted by sttisticl nlysis [23] between the results chieved from the proposed methods nd tht of the reported method. Regrding the clculted Student s t-test nd vrince rtio F-test (Tble 1), there is no significnt difference between the proposed nd reported method [8] regrding ccurcy nd precision. The limits of detection (LOD) nd quntifiction (LOQ) were clculted ccording to the sme guidelines using the formuls [22, 23]: LOD=3.3σ/s nd LOQ=10σ/s (2) Where σ is the stndrd devition of five regent blnk determintions, nd s is the slope of the clibrtion curve. Accurcy nd precision In order to evlute the precision of the proposed methods, solutions contining three different concentrtions of PZT were prepred nd nlyzed in six replictes. The nlyticl results obtined from this investigtion re summrized in Tble 2. The low vlues of the reltive stndrd devition (% R.S.D) nd percentge reltive error (% R.E) indicte the precision nd ccurcy of the proposed methods. The percentge reltive error is clculted using the following eqution: % R.E. = found - tken tken (3) x 100 The ssy procedure ws repeted six times, nd percentge reltive stndrd devition (% R.S.D) vlues were obtined within the sme dy to evlute repetbility (intr-dy precision), nd over five different dys to evlute intermedite precision (inter-dy precision). For the sme concentrtions of drugs inter- nd intr-dy ccurcy of the methods were lso evluted. The percentge recovery vlues with respect to found concentrtions of ech drug were evluted to scertin the ccurcy of the methods. The recovery vlues close to 100% s compiled in Tble 2 shows tht the proposed methods re very ccurte. 220

4 Goud et l. Int J Phrm Phrm Sci, Vol 6, Issue 4, Tble 1: Anlyticl nd regression prmeters of proposed oxidtion spectrophotometric methods for determintion of PZT Prmeters Method A Method B Method C Beer s lw limits, µg ml Ringboom limits, µg ml Molr bsorptivity, x 10 4 L mol -1 cm Sndell sensitivity, ng cm Regression eqution, Intercept () Stndrd devition of intercept (S) Slope (b) Stndrd devition of slope (Sb) Correltion coefficient, (r) Men ± SD ± ± ±1.30 RSD% RE% Limit of detection, µg ml Limit of quntifiction, µg ml Clculted t-vlue b Clculted F-vlue b A = + bc, where C is the concentrtion in µg ml 1, A is the bsorbnce units, is the intercept, b is the slope., b The theoreticl vlues of t nd F re 2.57 nd 5.05, respectively t confidence limit t 95% confidence level nd five degrees of freedom (p= 0.05). Tble 2: Results of intr-dy nd inter-dy ccurcy nd precision study for PZT obtined by the proposed methods. Method PZT tken Recovery % Precision RSD % Accurcy RE % Confidence Limit b Intr-dy A ± ± ± B ± ± ± C ± ± ± Inter-dy A ± ± ± B ± ± ± C ± ± ± RSD%, percentge reltive stndrd devition; RE%, percentge reltive error. b Men ± stndrd error. Tble 3: Results of method robustness nd ruggedness (ll vlues in %RSD) studies Nominl mount Methods concentrtion RSD% Robustness Ruggedness Vrible lerted Acid volume Rection time Different nlysts Different instruments A B C Volume of 5.0 M HCl is (1.0±0.2 ml) nd rection time is (10±2.0 min) (fter dding NBS) were used. Robustness nd ruggedness: For the evlution of method robustness, volume of HCl nd rection time (between NBS nd drug) were slightly vried delibertely. The nlysis ws performed with ltered conditions by tking three different concentrtions of 221

5 Goud et l. Int J Phrm Phrm Sci, Vol 6, Issue 4, drug nd the methods were found to remin unffected s shown by the RSD vlues in the rnges of %. Methods ruggedness ws expressed s the RSD of the sme procedure pplied by three different nlysts s well s using three different instruments (spectrophotometers). The inter-nlysts RSD were in the rnges % wheres the inter-instruments RSD rnged from % suggesting tht the developed methods were rugged. The results re shown in Tble 3. Recovery studies To study the relibility nd ccurcy of the proposed methods, stndrd ddition technique ws followed. This study ws performed by spiking fixed mount of tblet preprtion to three different levels of pure drug. The totl concentrtion ws found by the proposed methods. The determintion with ech level ws repeted three times nd the percent recovery of the dded stndrd (pure drug) ws clculted from: % Recovery = [C F - C T] x 100 C p (4) where CF is the totl concentrtion of the nlyte found, CT is concentrtion of the nlyte present in the tblet preprtion, CP is concentrtion of nlyte (pure drug) dded to tblet preprtion. Results of this study presented in Tble 4 reveled tht the ccurcy of the proposed methods ws unffected by the vrious excipients present in tblets. Methods Tble 4: Results of recovery experiments for Mosegor tblets by stndrd ddition method. Tken Conc. from tblet Pure drug dded Totl found Recovery% ± SD Method A ± ± ± 0.79 Method B ± ± ± 0.58 Method C ± ± ±1.16 Men vlue of three determintions Tble 5: Appliction of the proposed methods for the determintion of PZT in Mosegor tblets Proposed methods Reported method [8] A B C Recovery ± RSD 99.40± ± ± ± 0.91 t-vlue b F-Vlue b Men for six independent nlyses., b The theoreticl vlues of t nd F re 2.57 nd 5.05, respectively t confidence limit t 95% confidence level nd five degrees of freedom (p= 0.05). Appliction to formultions The proposed methods were pplied to the determintion of PZT in tblets. The results in Tble 5 showed tht the methods re successful for the determintion of PZT nd tht the excipients in the dosge forms do not interfere. The results obtined from the ssy of PZT by the proposed methods nd reference method [8] for the sme btch of mteril is presented in Tble 5. The results greed well with the lbel clim nd lso were in greement with the results obtined by the reference methods. When the results were sttisticlly compred with those of the reference methods by pplying the Student ' s t-test for ccurcy nd F-test for precision, the clculted t-vlue nd F-vlue t 95% confidence level did not exceed the tbulted vlues of 2.57 nd 5.05, respectively, for five degrees of freedom [23]. Hence, no significnt difference existed between the proposed methods nd the reference methods with respect to ccurcy nd precision. DISCUSSION PZT, when dded in incresing mounts to fixed mount of NBS, consumes the ltter nd there will be concomitnt fll in its concentrtion. When fixed mount of ech dye is dded to decresing mounts of NBS, concomitnt increse in the concentrtion of dye results. This is observed s proportionl increse in the bsorbnce t the respective wvelengths of mximum bsorption with incresing concentrtion of drug s indicted by the correltion coefficients rnged from of Unrected NBS M ethod A M ethyl ornge Method B Amrnth M ethod C Indigo crmine Unbleched colour of methyl ornge mesured t 522 nm Unbleched colour of mrnth mesured t 507 nm Unbleched colour of indigo crmine mesured t 610 nm Scheme 1: Tenttive rection scheme for the proposed spectrophotometric methods. The tenttive rection scheme of spectrophotometric methods is shown in Scheme 1. The bromintion of PZT will tke plce in position α to the crbonyl group [20]. Drug Known excess of NBS H + Rection product of drug Unrected NBS 222

6 Goud et l. Int J Phrm Phrm Sci, Vol 6, Issue 4, CONCLUSION Three methods hve been developed for determintion of PZT in bulk drug nd in its tblets nd vlidted s per the current ICH guidelines. The present spectrophotometric methods re chrcterized by simplicity since they do not involve ny criticl experimentl vrible nd re free from tedious nd timeconsuming extrction steps nd use of orgnic solvents unlike mny previous methods. The proposed methods hve dditionl dvntges of ese of opertion nd possibility of crrying them out with common lbortory instrument unlike mny other instrumentl methods reported for PZT. They re chrcterized by high selectivity nd comprble sensitivity with respect to the existing methods. The ccurcy, reproducibility, simplicity, nd costeffectiveness of the methods suggest their ppliction in the qulity control lbortories where the modern nd expensive instruments re not vilble. CONFLICT OF INTERESTS The uthors declre tht they hve no conflict of interests with the compny nme used in the pper. REFERNCES 1. British Phrmcopoei. Monogrphs: Medicinl nd Phrmceuticl Substnces, pizotefin mlte, 2009; Volume I & II. 2. Sweetmn SC, Mrtindle: The Complete Drug Reference, 36 th Ed., The Phrmceuticl Press, London (U.K.), Sern-Jiménez CE, del Rio Sncho S, Cltyud-Pscul MA, Blguer-Fernández C, Femení-Font A, López-Cstellno A, Merino V, HPLC-UV nlyticl method for determintion of pizotifen fter in vitro trnsderml diffusion studies. Biomed Chromtogr 2012;26: Rhmn SM, Kbir AKL, Jhn A, Momen AR, Rouf ASS. Vlidtion nd ppliction of reversed phse high-performnce liquid chromtogrphic method for quntifiction of pizotifen mlte in phrmceuticl solid dosge formultions. Pk J Phrm Sci 2010;23: Abounssif MA, El-Obeid HA, Gdkriem EA. Stbility studies on some benzocycloheptne ntihistminic gents, J Phrm Biomed Anl 2005;36: Bsveswr Ro MV, Ngendrkumr AVD, Miti S, Chndrsekhr N. Vlidted RP-HPLC Method for the Estimtion of Pizotifen in Phrmceuticl Dosge Form. Chromtogr Res Int 2012;2012: Stout TH, Dorsey JG. High-Performnce Liquid Chromtogrphy. In: Ohnnesin L, Streeter AJ., (editors). Hnd book of Phrmceuticl Anlysis, Mrcel Dekker, Inc., New York, 2001; p El-Kousy N, Bebwy LI. Determintion of some ntihistminic drugs by tomic bsorption spectrometry nd colorimetric methods. J Phrm Biomed Anl 1999;20: Dessouky YM, Hssnein HH, Mohmmd MAA, Hnfy RS. Spectrophotometric nd spectrofluorimetric determintion of pizotifen mlte. Bull Fc Phrm Ciro Univ 2004;42: Amin AS, Ahmed IS, Dessouki HA, Goud EA. Utility of oxidtion reduction rection for the determintion of rntidine hydrochloride in pure form, in dosge forms nd in the presence of its oxidtive degrdtes. Spectrochimic Act A 2003;59: Bsvih K, Somsher BC. Titrimetric nd Spectrophotometric Determintion of Metprolol trtrte in Phrmceuticls Using N-Bromosuccinimide. E-J Chem 2007;4: Viny KB, Revnsiddpp HD, Devi OZ, Rmesh PJ, Bsvih K. Rpid titrimetric nd spectrophotometric determintion of ofloxcin in phrmceuticls using N-bromosuccinimide. Brz J Phrm Sci 2011;47: Viny KB, Revnsiddpp HD, Rjendrprsd N, Rghu MS, Rmesh PJ, Cijo MX, Bsvih K. Rpid titrimetric nd spectrophotometric ssy of trmdol in bulk drug nd in formultion using N-bromosuccinimide nd methyl ornge s regents. Thi J Phrm Sci 2011;35: Bsvih K, Anil kumr UR, Thrp K. Spectrophotometric Determintion of Pntoprzole Sodium in Phrmceuticls Using N-Bromosuccinimide, Methyl Ornge nd Indigo Crmine s Regents. Irn J Chem Chem Eng 2009;28: Goud AA, Amin AS, El Sheikh R, Akl MA. Sensitive spectrophotometric methods for determintion of some orgnophosphorus pesticides in vegetble smples. Chem Ind Chem Eng Qur 2010;16: El Sheikh R, Amin AS, Goud AA, Youssef AG. Utility of Oxidtion-Reduction Rection for Determintion of Gemifloxcin Mesylte nd Moxifloxcin HCl in Pure Form nd in Phrmceuticl Formultions using N-Bromosuccinimide. Phrm Anl Act 2013;4: Berk A, Vulterin J, Zyk J. Newer Redox Titrnts, first ed. Pergmon Press, London, 1965; p Jeffery GH, Bssett J, Mendhm J, Denney RC. Titrimetric Anlysis. In Vogel s Text Book of Quntittive Inorgnic Anlysis, 5 th Ed., ELBS: London, 1989; p Morrison RT, Boyd RN. Orgnic chemistry. 6.ed. New Jersey: Prentice-Hll, 2007; p Hssn A, Ibrhim R, Ibrhim D, Mostf M. Evlution of N- Bromosuccinimide s new-nlyticl regent for the spectrophotometric determintion of fluoroquinolone ntibiotics. Chem Phrm Bull 2007;55: Ringbom A. "Accurcy of clorimetric determintions" Z. Anl, Chem. 1939;115: Interntionl Conference on Hrmonistion of Technicl Requirements for Registrtion of Phrmceuticls for Humn Use. ICH Hrmonised Triprtite Guideline, Vlidtion of Anlyticl Procedures: Text nd Methodology Q2(R 1), Complementry Guideline on Methodology, London, November Miller JN, Miller JC. Sttistics nd chemometrics for nlyticl chemistry 5 th ed., Prentice Hll, Englnd,

RP-HPLC method development and validation for estimation of rivaroxaban in pharmaceutical dosage forms

RP-HPLC method development and validation for estimation of rivaroxaban in pharmaceutical dosage forms Brzilin Journl of Phrmceuticl Sciences vol. 49, n. 2, pr./jun., 2013 Article RP-HPLC method development nd vlidtion for estimtion of rivroxbn in phrmceuticl dosge forms Mustf Çelebier, Tub Reçber, Engin

More information

Eleni Kalogria Athanasia Varvaresou Spyridon Papageorgiou Evaggelia Protopapa Ioannis Tsaknis Alexios Matikas Irene Panderi

Eleni Kalogria Athanasia Varvaresou Spyridon Papageorgiou Evaggelia Protopapa Ioannis Tsaknis Alexios Matikas Irene Panderi Chromtogrphi (2014) 77:1275 1281 DOI 10.1007/s10337-014-2722-9 ORIGINAL Pre Column Derivtiztion HPLC Procedure for the Quntittion of Aluminium Chlorohydrte in Antiperspirnt Crems Using Quercetin s Chromogenic

More information

Treatment Spring Late Summer Fall 0.10 5.56 3.85 0.61 6.97 3.01 1.91 3.01 2.13 2.99 5.33 2.50 1.06 3.53 6.10 Mean = 1.33 Mean = 4.88 Mean = 3.

Treatment Spring Late Summer Fall 0.10 5.56 3.85 0.61 6.97 3.01 1.91 3.01 2.13 2.99 5.33 2.50 1.06 3.53 6.10 Mean = 1.33 Mean = 4.88 Mean = 3. The nlysis of vrince (ANOVA) Although the t-test is one of the most commonly used sttisticl hypothesis tests, it hs limittions. The mjor limittion is tht the t-test cn be used to compre the mens of only

More information

The International Association for the Properties of Water and Steam. Release on the Ionization Constant of H 2 O

The International Association for the Properties of Water and Steam. Release on the Ionization Constant of H 2 O The Interntionl Assocition for the Properties of Wter nd Stem Lucerne, Sitzerlnd August 7 Relese on the Ioniztion Constnt of H O 7 The Interntionl Assocition for the Properties of Wter nd Stem Publiction

More information

Graphs on Logarithmic and Semilogarithmic Paper

Graphs on Logarithmic and Semilogarithmic Paper 0CH_PHClter_TMSETE_ 3//00 :3 PM Pge Grphs on Logrithmic nd Semilogrithmic Pper OBJECTIVES When ou hve completed this chpter, ou should be ble to: Mke grphs on logrithmic nd semilogrithmic pper. Grph empiricl

More information

Rate and Activation Energy of the Iodination of Acetone

Rate and Activation Energy of the Iodination of Acetone nd Activtion Energ of the Iodintion of Acetone rl N. eer Dte of Eperiment: //00 Florence F. Ls (prtner) Abstrct: The rte, rte lw nd ctivtion energ of the iodintion of cetone re detered b observing the

More information

Study on enzyme-assisted aqueous extraction of oil from soybean

Study on enzyme-assisted aqueous extraction of oil from soybean 8 Journl Scientific & Industril Reserch J SCI IND RES VOL 69 NOVEMBER 2010 Vol. 69, November 2010, pp. 8-865 Study on enzyme-ssisted queous extrction oil from soyben Jun-Qing Qin*, De-Hui Qin, Xing-Mo

More information

Experiment 6: Friction

Experiment 6: Friction Experiment 6: Friction In previous lbs we studied Newton s lws in n idel setting, tht is, one where friction nd ir resistnce were ignored. However, from our everydy experience with motion, we know tht

More information

Operations with Polynomials

Operations with Polynomials 38 Chpter P Prerequisites P.4 Opertions with Polynomils Wht you should lern: Write polynomils in stndrd form nd identify the leding coefficients nd degrees of polynomils Add nd subtrct polynomils Multiply

More information

** Dpt. Chemical Engineering, Kasetsart University, Bangkok 10900, Thailand

** Dpt. Chemical Engineering, Kasetsart University, Bangkok 10900, Thailand Modelling nd Simultion of hemicl Processes in Multi Pulse TP Experiment P. Phnwdee* S.O. Shekhtmn +. Jrungmnorom** J.T. Gleves ++ * Dpt. hemicl Engineering, Ksetsrt University, Bngkok 10900, Thilnd + Dpt.hemicl

More information

Electrochemical behavior of anticancer drug 5-fluorouracil at carbon paste electrode and its analytical application

Electrochemical behavior of anticancer drug 5-fluorouracil at carbon paste electrode and its analytical application Bukkitgr nd Shetti Journl of Anlyticl Science nd Technology (2016) 7:1 DI 10.1186/s40543-015-0080-3 RESEARC ARTICLE pen Access Electrochemicl behvior of nticncer drug 5-fluorourcil t crbon pste electrode

More information

Lecture 3 Gaussian Probability Distribution

Lecture 3 Gaussian Probability Distribution Lecture 3 Gussin Probbility Distribution Introduction l Gussin probbility distribution is perhps the most used distribution in ll of science. u lso clled bell shped curve or norml distribution l Unlike

More information

THERMAL EXPANSION OF TUNGSTEN

THERMAL EXPANSION OF TUNGSTEN . THERMAL EXPANSION OF TUNGSTEN S515 By Peter Hidnert nd W. T. Sweeney ABSTRACT This pper gives the results of n investigtion on the therml expnsion of tungsten (99.98 per cent) over vrious temperture

More information

DlNBVRGH + Sickness Absence Monitoring Report. Executive of the Council. Purpose of report

DlNBVRGH + Sickness Absence Monitoring Report. Executive of the Council. Purpose of report DlNBVRGH + + THE CITY OF EDINBURGH COUNCIL Sickness Absence Monitoring Report Executive of the Council 8fh My 4 I.I...3 Purpose of report This report quntifies the mount of working time lost s result of

More information

DETERMINATION OF THREE ULTRAVIOLET FILTERS IN SUNSCREEN FORMULATIONS AND FROM SKIN PENETRATION STUDIES BY HIGH-PERFORMANCE LIQUID CHROMATOGRAPHY

DETERMINATION OF THREE ULTRAVIOLET FILTERS IN SUNSCREEN FORMULATIONS AND FROM SKIN PENETRATION STUDIES BY HIGH-PERFORMANCE LIQUID CHROMATOGRAPHY Quim. Nov, Vol. 34, No. 5, 879-883, 2011 DETERMINATION OF THREE ULTRAVIOLET FILTERS IN SUNSCREEN FORMULATIONS AND FROM SKIN PENETRATION STUDIES BY HIGH-PERFORMANCE LIQUID CHROMATOGRAPHY Fernnd Mri Pinto

More information

Section 7-4 Translation of Axes

Section 7-4 Translation of Axes 62 7 ADDITIONAL TOPICS IN ANALYTIC GEOMETRY Section 7-4 Trnsltion of Aes Trnsltion of Aes Stndrd Equtions of Trnslted Conics Grphing Equtions of the Form A 2 C 2 D E F 0 Finding Equtions of Conics In the

More information

Helicopter Theme and Variations

Helicopter Theme and Variations Helicopter Theme nd Vritions Or, Some Experimentl Designs Employing Pper Helicopters Some possible explntory vribles re: Who drops the helicopter The length of the rotor bldes The height from which the

More information

An Undergraduate Curriculum Evaluation with the Analytic Hierarchy Process

An Undergraduate Curriculum Evaluation with the Analytic Hierarchy Process An Undergrdute Curriculum Evlution with the Anlytic Hierrchy Process Les Frir Jessic O. Mtson Jck E. Mtson Deprtment of Industril Engineering P.O. Box 870288 University of Albm Tuscloos, AL. 35487 Abstrct

More information

9 CONTINUOUS DISTRIBUTIONS

9 CONTINUOUS DISTRIBUTIONS 9 CONTINUOUS DISTIBUTIONS A rndom vrible whose vlue my fll nywhere in rnge of vlues is continuous rndom vrible nd will be ssocited with some continuous distribution. Continuous distributions re to discrete

More information

Space Vector Pulse Width Modulation Based Induction Motor with V/F Control

Space Vector Pulse Width Modulation Based Induction Motor with V/F Control Interntionl Journl of Science nd Reserch (IJSR) Spce Vector Pulse Width Modultion Bsed Induction Motor with V/F Control Vikrmrjn Jmbulingm Electricl nd Electronics Engineering, VIT University, Indi Abstrct:

More information

Economics Letters 65 (1999) 9 15. macroeconomists. a b, Ruth A. Judson, Ann L. Owen. Received 11 December 1998; accepted 12 May 1999

Economics Letters 65 (1999) 9 15. macroeconomists. a b, Ruth A. Judson, Ann L. Owen. Received 11 December 1998; accepted 12 May 1999 Economics Letters 65 (1999) 9 15 Estimting dynmic pnel dt models: guide for q mcroeconomists b, * Ruth A. Judson, Ann L. Owen Federl Reserve Bord of Governors, 0th & C Sts., N.W. Wshington, D.C. 0551,

More information

Exponential and Logarithmic Functions

Exponential and Logarithmic Functions Nme Chpter Eponentil nd Logrithmic Functions Section. Eponentil Functions nd Their Grphs Objective: In this lesson ou lerned how to recognize, evlute, nd grph eponentil functions. Importnt Vocbulr Define

More information

Basic Analysis of Autarky and Free Trade Models

Basic Analysis of Autarky and Free Trade Models Bsic Anlysis of Autrky nd Free Trde Models AUTARKY Autrky condition in prticulr commodity mrket refers to sitution in which country does not engge in ny trde in tht commodity with other countries. Consequently

More information

TITLE THE PRINCIPLES OF COIN-TAP METHOD OF NON-DESTRUCTIVE TESTING

TITLE THE PRINCIPLES OF COIN-TAP METHOD OF NON-DESTRUCTIVE TESTING TITLE THE PRINCIPLES OF COIN-TAP METHOD OF NON-DESTRUCTIVE TESTING Sung Joon Kim*, Dong-Chul Che Kore Aerospce Reserch Institute, 45 Eoeun-Dong, Youseong-Gu, Dejeon, 35-333, Kore Phone : 82-42-86-231 FAX

More information

Simulation of operation modes of isochronous cyclotron by a new interative method

Simulation of operation modes of isochronous cyclotron by a new interative method NUKLEONIKA 27;52(1):29 34 ORIGINAL PAPER Simultion of opertion modes of isochronous cyclotron y new intertive method Ryszrd Trszkiewicz, Mrek Tlch, Jcek Sulikowski, Henryk Doruch, Tdeusz Norys, Artur Srok,

More information

COMPARISON OF SOME METHODS TO FIT A MULTIPLICATIVE TARIFF STRUCTURE TO OBSERVED RISK DATA BY B. AJNE. Skandza, Stockholm ABSTRACT

COMPARISON OF SOME METHODS TO FIT A MULTIPLICATIVE TARIFF STRUCTURE TO OBSERVED RISK DATA BY B. AJNE. Skandza, Stockholm ABSTRACT COMPARISON OF SOME METHODS TO FIT A MULTIPLICATIVE TARIFF STRUCTURE TO OBSERVED RISK DATA BY B. AJNE Skndz, Stockholm ABSTRACT Three methods for fitting multiplictive models to observed, cross-clssified

More information

Reasoning to Solve Equations and Inequalities

Reasoning to Solve Equations and Inequalities Lesson4 Resoning to Solve Equtions nd Inequlities In erlier work in this unit, you modeled situtions with severl vriles nd equtions. For exmple, suppose you were given usiness plns for concert showing

More information

All pay auctions with certain and uncertain prizes a comment

All pay auctions with certain and uncertain prizes a comment CENTER FOR RESEARC IN ECONOMICS AND MANAGEMENT CREAM Publiction No. 1-2015 All py uctions with certin nd uncertin prizes comment Christin Riis All py uctions with certin nd uncertin prizes comment Christin

More information

Math 135 Circles and Completing the Square Examples

Math 135 Circles and Completing the Square Examples Mth 135 Circles nd Completing the Squre Exmples A perfect squre is number such tht = b 2 for some rel number b. Some exmples of perfect squres re 4 = 2 2, 16 = 4 2, 169 = 13 2. We wish to hve method for

More information

APPLICATION OF TAGUCHI EXPERIMENTAL DESIGN FOR PROCESS OPTIMIZATION OF TABLET COMPRESSION MACHINES AT HLL LIFECARE LIMITED, INDIA

APPLICATION OF TAGUCHI EXPERIMENTAL DESIGN FOR PROCESS OPTIMIZATION OF TABLET COMPRESSION MACHINES AT HLL LIFECARE LIMITED, INDIA Interntionl Journl of themticl Sciences Vol. 10, No. 3-4, July-December 2011, pp. 171-182 Serils Publictions APPLICATION OF TAGUCHI EXPERIENTAL DESIGN FOR PROCESS OPTIIZATION OF TABLET COPRESSION ACHINES

More information

Effect of viscosity on C sugar in Beet sugar factories

Effect of viscosity on C sugar in Beet sugar factories ANNUAL TRANSACTIONS OF THE NORDIC RHEOLOGY SOCIETY, VOL. 16, 2008 Effect of on C sugr in Beet sugr fctories Mohmmd Hojjtoleslmy 1, Rez Shokrni 2 nd Ahmd Krsi 3 1 Deprtment of food technology, College of

More information

Uplift Capacity of K-Series Open Web Steel Joist Seats. Florida, Gainesville, FL 32611; email: psgreen@ce.ufl.edu

Uplift Capacity of K-Series Open Web Steel Joist Seats. Florida, Gainesville, FL 32611; email: psgreen@ce.ufl.edu Uplift Cpcity of K-Series Open Web Steel Joist Sets Perry S. Green, Ph.D, M.ASCE 1 nd Thoms Sputo, Ph.D., P.E., M.ASCE 2 1 Assistnt Professor, Deprtment of Civil nd Costl Engineering, University of Florid,

More information

Fundamentals of Analytical Chemistry

Fundamentals of Analytical Chemistry Homework Fundmentls of Anlyticl hemistry 7-0,, 4, 8, 0, 7 hpter 5 Polyfunctionl Acids nd Bses Acids tht cn donte more thn proton per molecule Strong cid H SO 4 Severl wek cids Well behved dissocition For

More information

INVESTIGATION OF THE EXTINGUISHING FEATURES FOR LIQUID FUELS AND ORGANIC FLAMMABLE LIQUIDS ATOMIZED BY A WATER FLOW

INVESTIGATION OF THE EXTINGUISHING FEATURES FOR LIQUID FUELS AND ORGANIC FLAMMABLE LIQUIDS ATOMIZED BY A WATER FLOW EPJ Web of Conferences 110, 01083 (2016) DOI: 10.1051/ epjconf/ 201611001083 C Owned by the uthors, published by EDP Sciences, 2016 INVESTIGATION OF THE EXTINGUISHING FEATURES FOR LIQUID FUELS AND ORGANIC

More information

Example 27.1 Draw a Venn diagram to show the relationship between counting numbers, whole numbers, integers, and rational numbers.

Example 27.1 Draw a Venn diagram to show the relationship between counting numbers, whole numbers, integers, and rational numbers. 2 Rtionl Numbers Integers such s 5 were importnt when solving the eqution x+5 = 0. In similr wy, frctions re importnt for solving equtions like 2x = 1. Wht bout equtions like 2x + 1 = 0? Equtions of this

More information

PHY 222 Lab 8 MOTION OF ELECTRONS IN ELECTRIC AND MAGNETIC FIELDS

PHY 222 Lab 8 MOTION OF ELECTRONS IN ELECTRIC AND MAGNETIC FIELDS PHY 222 Lb 8 MOTION OF ELECTRONS IN ELECTRIC AND MAGNETIC FIELDS Nme: Prtners: INTRODUCTION Before coming to lb, plese red this pcket nd do the prelb on pge 13 of this hndout. From previous experiments,

More information

model numbers. To be meticulous, we've included the manufacturers' model numbers, too Using CATALOG 72 is ENJOYABLE It's

model numbers. To be meticulous, we've included the manufacturers' model numbers, too Using CATALOG 72 is ENJOYABLE It's CATALOG 72 first combined ctlog of VWR Scientific (formerly Vn Wters & Rogers/Will Scientific) 1,328 pges with the brodest line of superior lbortory instrumenttion nd supplies nywhere. Shopping CATALOG

More information

Polynomial Functions. Polynomial functions in one variable can be written in expanded form as ( )

Polynomial Functions. Polynomial functions in one variable can be written in expanded form as ( ) Polynomil Functions Polynomil functions in one vrible cn be written in expnded form s n n 1 n 2 2 f x = x + x + x + + x + x+ n n 1 n 2 2 1 0 Exmples of polynomils in expnded form re nd 3 8 7 4 = 5 4 +

More information

Review Problems for the Final of Math 121, Fall 2014

Review Problems for the Final of Math 121, Fall 2014 Review Problems for the Finl of Mth, Fll The following is collection of vrious types of smple problems covering sections.,.5, nd.7 6.6 of the text which constitute only prt of the common Mth Finl. Since

More information

Roudmup for Los Angeles Pierce College ADIV Program ancl csu Dominguez Hilk Rlt-B^sr/ progrum

Roudmup for Los Angeles Pierce College ADIV Program ancl csu Dominguez Hilk Rlt-B^sr/ progrum Roudmup for Los Angeles Pierce College ADIV Progrm ncl csu Dominguez Hilk Rlt-B^sr/ progrum Admission Requirements for Los Angeles pierce (LApC) LAPC hs four-semester Associte Degree in Nursing (ADN) Progrm.

More information

PROBLEMS 13 - APPLICATIONS OF DERIVATIVES Page 1

PROBLEMS 13 - APPLICATIONS OF DERIVATIVES Page 1 PROBLEMS - APPLICATIONS OF DERIVATIVES Pge ( ) Wter seeps out of conicl filter t the constnt rte of 5 cc / sec. When the height of wter level in the cone is 5 cm, find the rte t which the height decreses.

More information

Warm-up for Differential Calculus

Warm-up for Differential Calculus Summer Assignment Wrm-up for Differentil Clculus Who should complete this pcket? Students who hve completed Functions or Honors Functions nd will be tking Differentil Clculus in the fll of 015. Due Dte:

More information

Econ 4721 Money and Banking Problem Set 2 Answer Key

Econ 4721 Money and Banking Problem Set 2 Answer Key Econ 472 Money nd Bnking Problem Set 2 Answer Key Problem (35 points) Consider n overlpping genertions model in which consumers live for two periods. The number of people born in ech genertion grows in

More information

g(y(a), y(b)) = o, B a y(a)+b b y(b)=c, Boundary Value Problems Lecture Notes to Accompany

g(y(a), y(b)) = o, B a y(a)+b b y(b)=c, Boundary Value Problems Lecture Notes to Accompany Lecture Notes to Accompny Scientific Computing An Introductory Survey Second Edition by Michel T Heth Boundry Vlue Problems Side conditions prescribing solution or derivtive vlues t specified points required

More information

Factoring Polynomials

Factoring Polynomials Fctoring Polynomils Some definitions (not necessrily ll for secondry school mthemtics): A polynomil is the sum of one or more terms, in which ech term consists of product of constnt nd one or more vribles

More information

Unit 29: Inference for Two-Way Tables

Unit 29: Inference for Two-Way Tables Unit 29: Inference for Two-Wy Tbles Prerequisites Unit 13, Two-Wy Tbles is prerequisite for this unit. In ddition, students need some bckground in significnce tests, which ws introduced in Unit 25. Additionl

More information

Applications of X-Ray Photoabsorption Spectroscopy to the Determination of Local Structure in Organometallic Compounds

Applications of X-Ray Photoabsorption Spectroscopy to the Determination of Local Structure in Organometallic Compounds 8059 (28) B. Longto, F. Morndini. nd S. Bresdol, J. Orgnomet. Chem., 88, C7 (33) G. S. Arnold,. L. Klotz,. Hlper, nd M. K. DeArmond, Chem. Phys. (1975). Lett., 19, 546 (1973). (29) M. G. Clerici, S. Di

More information

Module 2. Analysis of Statically Indeterminate Structures by the Matrix Force Method. Version 2 CE IIT, Kharagpur

Module 2. Analysis of Statically Indeterminate Structures by the Matrix Force Method. Version 2 CE IIT, Kharagpur Module Anlysis of Stticlly Indeterminte Structures by the Mtrix Force Method Version CE IIT, Khrgpur esson 9 The Force Method of Anlysis: Bems (Continued) Version CE IIT, Khrgpur Instructionl Objectives

More information

ANALYSIS OF THERMAL STRATIFICATION IN THE PRIMARY CIRCUIT WITH THE CFX CODE

ANALYSIS OF THERMAL STRATIFICATION IN THE PRIMARY CIRCUIT WITH THE CFX CODE ANALYSIS OF THERMAL STRATIFICATION IN THE PRIMARY CIRCUIT WITH THE CFX CODE Ildikó Boros, Dr. Attil Aszódi Budpest University of Technology nd Economics, Institute of Nucler Techniques Abstrct The therml

More information

Example A rectangular box without lid is to be made from a square cardboard of sides 18 cm by cutting equal squares from each corner and then folding

Example A rectangular box without lid is to be made from a square cardboard of sides 18 cm by cutting equal squares from each corner and then folding 1 Exmple A rectngulr box without lid is to be mde from squre crdbord of sides 18 cm by cutting equl squres from ech corner nd then folding up the sides. 1 Exmple A rectngulr box without lid is to be mde

More information

PROF. BOYAN KOSTADINOV NEW YORK CITY COLLEGE OF TECHNOLOGY, CUNY

PROF. BOYAN KOSTADINOV NEW YORK CITY COLLEGE OF TECHNOLOGY, CUNY MAT 0630 INTERNET RESOURCES, REVIEW OF CONCEPTS AND COMMON MISTAKES PROF. BOYAN KOSTADINOV NEW YORK CITY COLLEGE OF TECHNOLOGY, CUNY Contents 1. ACT Compss Prctice Tests 1 2. Common Mistkes 2 3. Distributive

More information

The Velocity Factor of an Insulated Two-Wire Transmission Line

The Velocity Factor of an Insulated Two-Wire Transmission Line The Velocity Fctor of n Insulted Two-Wire Trnsmission Line Problem Kirk T. McDonld Joseph Henry Lbortories, Princeton University, Princeton, NJ 08544 Mrch 7, 008 Estimte the velocity fctor F = v/c nd the

More information

Distributions. (corresponding to the cumulative distribution function for the discrete case).

Distributions. (corresponding to the cumulative distribution function for the discrete case). Distributions Recll tht n integrble function f : R [,] such tht R f()d = is clled probbility density function (pdf). The distribution function for the pdf is given by F() = (corresponding to the cumultive

More information

SPECIAL PRODUCTS AND FACTORIZATION

SPECIAL PRODUCTS AND FACTORIZATION MODULE - Specil Products nd Fctoriztion 4 SPECIAL PRODUCTS AND FACTORIZATION In n erlier lesson you hve lernt multipliction of lgebric epressions, prticulrly polynomils. In the study of lgebr, we come

More information

Applications to Physics and Engineering

Applications to Physics and Engineering Section 7.5 Applictions to Physics nd Engineering Applictions to Physics nd Engineering Work The term work is used in everydy lnguge to men the totl mount of effort required to perform tsk. In physics

More information

JaERM Software-as-a-Solution Package

JaERM Software-as-a-Solution Package JERM Softwre-s--Solution Pckge Enterprise Risk Mngement ( ERM ) Public listed compnies nd orgnistions providing finncil services re required by Monetry Authority of Singpore ( MAS ) nd/or Singpore Stock

More information

improved (2, 3, 4, 5, 7, 8, 9, 10, 11). Some of the

improved (2, 3, 4, 5, 7, 8, 9, 10, 11). Some of the 8 FLORIDA STATE HORTICULTURAL SOCIETY, 963 EVALUATING SPRAY EQUIPMENT FOR FLORIDA CITRUS R. F. Brooks, W. L. Thompson nd P. T. Jutrs Florid Citrus Experiment Sttion Lke Alfred The first successful, lrge,

More information

Project 6 Aircraft static stability and control

Project 6 Aircraft static stability and control Project 6 Aircrft sttic stbility nd control The min objective of the project No. 6 is to compute the chrcteristics of the ircrft sttic stbility nd control chrcteristics in the pitch nd roll chnnel. The

More information

Small Business Cloud Services

Small Business Cloud Services Smll Business Cloud Services Summry. We re thick in the midst of historic se-chnge in computing. Like the emergence of personl computers, grphicl user interfces, nd mobile devices, the cloud is lredy profoundly

More information

2006 IPCC Software for National Greenhouse Gas Inventories: Application and use for India

2006 IPCC Software for National Greenhouse Gas Inventories: Application and use for India 2006 IPCC Softwre for Ntionl Greenhouse Gs Inventories: Appliction nd use for Indi Presenttion for NGGIP Side Event Bonn, June 8, 2013 Prof. Amit Grg (mitgrg@iimhd.ernet.in), INDIA GHG Inventory Softwre

More information

The Effect of Crumb Rubber Modifier (CRM) on the Performance Properties of Rubberized Binders in HMA pavements

The Effect of Crumb Rubber Modifier (CRM) on the Performance Properties of Rubberized Binders in HMA pavements The Effect of Crum Ruer Modifier (CRM) on the Performnce Properties of Ruerized Binders in HMA pvements Soon-Je Lee* Ph.D. Grdute Student Deprtment of Civil Engineering Clemson University Clemson, SC 29634-0911

More information

1. In the Bohr model, compare the magnitudes of the electron s kinetic and potential energies in orbit. What does this imply?

1. In the Bohr model, compare the magnitudes of the electron s kinetic and potential energies in orbit. What does this imply? Assignment 3: Bohr s model nd lser fundmentls 1. In the Bohr model, compre the mgnitudes of the electron s kinetic nd potentil energies in orit. Wht does this imply? When n electron moves in n orit, the

More information

STATUS OF LAND-BASED WIND ENERGY DEVELOPMENT IN GERMANY

STATUS OF LAND-BASED WIND ENERGY DEVELOPMENT IN GERMANY Yer STATUS OF LAND-BASED WIND ENERGY Deutsche WindGurd GmbH - Oldenburger Strße 65-26316 Vrel - Germny +49 (4451)/9515 - info@windgurd.de - www.windgurd.com Annul Added Cpcity [MW] Cumultive Cpcity [MW]

More information

Understanding Basic Analog Ideal Op Amps

Understanding Basic Analog Ideal Op Amps Appliction Report SLAA068A - April 2000 Understnding Bsic Anlog Idel Op Amps Ron Mncini Mixed Signl Products ABSTRACT This ppliction report develops the equtions for the idel opertionl mplifier (op mp).

More information

Section 5-4 Trigonometric Functions

Section 5-4 Trigonometric Functions 5- Trigonometric Functions Section 5- Trigonometric Functions Definition of the Trigonometric Functions Clcultor Evlution of Trigonometric Functions Definition of the Trigonometric Functions Alternte Form

More information

Reversing Medications That Cause Bleeding

Reversing Medications That Cause Bleeding Reversing Medictions Tht Cuse Bleeding Dine M. Birnbumer, M.D., FACEP Professor of Medicine University of Cliforni, Los Angeles Senior Fculty Deprtment of Emergency Medicine Hrbor-UCLA Medicl Center The

More information

Radioimmunoassay of Human Plasma Retinol-Binding Protein

Radioimmunoassay of Human Plasma Retinol-Binding Protein Rdioimmunossy of Humn Plsm Retinol-Binding Protein FRNK REES SMITH, MIRM RZ, nd DEWITT S. GOODMN From the Deprtment of Medicine, Columbi University College of Physicins nd Surgeons, New York 132 B S T

More information

Health insurance exchanges What to expect in 2014

Health insurance exchanges What to expect in 2014 Helth insurnce exchnges Wht to expect in 2014 33096CAEENABC 02/13 The bsics of exchnges As prt of the Affordble Cre Act (ACA or helth cre reform lw), strting in 2014 ALL Americns must hve minimum mount

More information

ENHANCING CUSTOMER EXPERIENCE THROUGH BUSINESS PROCESS IMPROVEMENT: AN APPLICATION OF THE ENHANCED CUSTOMER EXPERIENCE FRAMEWORK (ECEF)

ENHANCING CUSTOMER EXPERIENCE THROUGH BUSINESS PROCESS IMPROVEMENT: AN APPLICATION OF THE ENHANCED CUSTOMER EXPERIENCE FRAMEWORK (ECEF) ENHNCING CUSTOMER EXPERIENCE THROUGH BUSINESS PROCESS IMPROVEMENT: N PPLICTION OF THE ENHNCED CUSTOMER EXPERIENCE FRMEWORK (ECEF) G.J. Both 1, P.S. Kruger 2 & M. de Vries 3 Deprtment of Industril nd Systems

More information

Vectors 2. 1. Recap of vectors

Vectors 2. 1. Recap of vectors Vectors 2. Recp of vectors Vectors re directed line segments - they cn be represented in component form or by direction nd mgnitude. We cn use trigonometry nd Pythgors theorem to switch between the forms

More information

Introducing Kashef for Application Monitoring

Introducing Kashef for Application Monitoring WextWise 2010 Introducing Kshef for Appliction The Cse for Rel-time monitoring of dtcenter helth is criticl IT process serving vriety of needs. Avilbility requirements of 6 nd 7 nines of tody SOA oriented

More information

Increasing Q of Waveguide Pulse-Compression Cavities

Increasing Q of Waveguide Pulse-Compression Cavities Circuit nd Electromgnetic System Design Notes Note 61 3 July 009 Incresing Q of Wveguide Pulse-Compression Cvities Crl E. Bum University of New Mexico Deprtment of Electricl nd Computer Engineering Albuquerque

More information

Improving Library Users' Perceived Quality, Satisfaction and Loyalty: An Integrated Measurement and Management System

Improving Library Users' Perceived Quality, Satisfaction and Loyalty: An Integrated Measurement and Management System Improving Librry Users' Perceived Qulity, Stisfction nd Loylty: An Integrted Mesurement nd Mngement System by Anne Mrtensen nd Lrs Gr0nholdt This rticle describes the development nd ppliction of structurl

More information

Physics 43 Homework Set 9 Chapter 40 Key

Physics 43 Homework Set 9 Chapter 40 Key Physics 43 Homework Set 9 Chpter 4 Key. The wve function for n electron tht is confined to x nm is. Find the normliztion constnt. b. Wht is the probbility of finding the electron in. nm-wide region t x

More information

2015 EDITION. AVMA Report on Veterinary Compensation

2015 EDITION. AVMA Report on Veterinary Compensation 2015 EDITION AVMA Report on Veterinry Compenstion AVMA Report on Veterinry Compenstion 2015 EDITION Copyright 2015 by the All rights reserved. ISBN-13: 978-1-882691-31-9 AVMA Report on Veterinry Compenstion

More information

Small Businesses Decisions to Offer Health Insurance to Employees

Small Businesses Decisions to Offer Health Insurance to Employees Smll Businesses Decisions to Offer Helth Insurnce to Employees Ctherine McLughlin nd Adm Swinurn, June 2014 Employer-sponsored helth insurnce (ESI) is the dominnt source of coverge for nonelderly dults

More information

THE PARAMETERS OF TRAPS IN K-FELDSPARS AND THE TL BLEACHING EFFICIENCY

THE PARAMETERS OF TRAPS IN K-FELDSPARS AND THE TL BLEACHING EFFICIENCY GEOCHRONOMETRIA Vol. 2, pp 15-2, 21 Journl on Methods nd Applictions of Asolute Chronology THE PARAMETERS OF TRAPS IN K-FELDSPARS AND THE TL BLEACHING EFFICIENCY ALICJA CHRUŒCIÑSKA 1, HUBERT L. OCZKOWSKI

More information

Determination of organophosphorus insecticides in natural waters using SPE-disks and SPME followed by GC/FTD and GC/MS

Determination of organophosphorus insecticides in natural waters using SPE-disks and SPME followed by GC/FTD and GC/MS Fresenius J Anl Chem (2000) 368 : 616 623 Springer-Verlg 2000 ORIGINAL PAPER D. Lmbropoulou T. Skellrides T. Albnis Determintion of orgnophosphorus insecticides in nturl wters using SPE-disks nd SPME followed

More information

Health insurance marketplace What to expect in 2014

Health insurance marketplace What to expect in 2014 Helth insurnce mrketplce Wht to expect in 2014 33096VAEENBVA 06/13 The bsics of the mrketplce As prt of the Affordble Cre Act (ACA or helth cre reform lw), strting in 2014 ALL Americns must hve minimum

More information

1.00/1.001 Introduction to Computers and Engineering Problem Solving Fall 2011 - Final Exam

1.00/1.001 Introduction to Computers and Engineering Problem Solving Fall 2011 - Final Exam 1./1.1 Introduction to Computers nd Engineering Problem Solving Fll 211 - Finl Exm Nme: MIT Emil: TA: Section: You hve 3 hours to complete this exm. In ll questions, you should ssume tht ll necessry pckges

More information

AN ANALYTICAL HIERARCHY PROCESS METHODOLOGY TO EVALUATE IT SOLUTIONS FOR ORGANIZATIONS

AN ANALYTICAL HIERARCHY PROCESS METHODOLOGY TO EVALUATE IT SOLUTIONS FOR ORGANIZATIONS AN ANALYTICAL HIERARCHY PROCESS METHODOLOGY TO EVALUATE IT SOLUTIONS FOR ORGANIZATIONS Spiros Vsilkos (), Chrysostomos D. Stylios (),(b), John Groflkis (c) () Dept. of Telemtics Center, Computer Technology

More information

Novel Methods of Generating Self-Invertible Matrix for Hill Cipher Algorithm

Novel Methods of Generating Self-Invertible Matrix for Hill Cipher Algorithm Bibhudendr chry, Girij Snkr Rth, Srt Kumr Ptr, nd Sroj Kumr Pnigrhy Novel Methods of Generting Self-Invertible Mtrix for Hill Cipher lgorithm Bibhudendr chry Deprtment of Electronics & Communiction Engineering

More information

COMPONENTS: COMBINED LOADING

COMPONENTS: COMBINED LOADING LECTURE COMPONENTS: COMBINED LOADING Third Edition A. J. Clrk School of Engineering Deprtment of Civil nd Environmentl Engineering 24 Chpter 8.4 by Dr. Ibrhim A. Asskkf SPRING 2003 ENES 220 Mechnics of

More information

NOTES. Cohasset Associates, Inc. 2015 Managing Electronic Records Conference 8.1

NOTES. Cohasset Associates, Inc. 2015 Managing Electronic Records Conference 8.1 Cohsset Assocites, Inc. Expnding Your Skill Set: How to Apply the Right Serch Methods to Your Big Dt Problems Juli L. Brickell H5 Generl Counsel MER Conference My 18, 2015 H5 POWERING YOUR DISCOVERY GLOBALLY

More information

Cost Functions for Assessment of Vehicle Dynamics

Cost Functions for Assessment of Vehicle Dynamics Cost Functions for Assessment of Vehicle Dynmics Dzmitry Svitski Automotive Engineering Deprtment Ilmenu University of Technology Ilmenu, Germny dzmitry.svitski@tu-ilmenu.de Pvel Nedom, Jroslv Mchn Skod

More information

4.11 Inner Product Spaces

4.11 Inner Product Spaces 314 CHAPTER 4 Vector Spces 9. A mtrix of the form 0 0 b c 0 d 0 0 e 0 f g 0 h 0 cnnot be invertible. 10. A mtrix of the form bc d e f ghi such tht e bd = 0 cnnot be invertible. 4.11 Inner Product Spces

More information

Quality Evaluation of Entrepreneur Education on Graduate Students Based on AHP-fuzzy Comprehensive Evaluation Approach ZhongXiaojun 1, WangYunfeng 2

Quality Evaluation of Entrepreneur Education on Graduate Students Based on AHP-fuzzy Comprehensive Evaluation Approach ZhongXiaojun 1, WangYunfeng 2 Interntionl Journl of Engineering Reserch & Science (IJOER) ISSN [2395-6992] [Vol-2, Issue-1, Jnury- 2016] Qulity Evlution of Entrepreneur Eduction on Grdute Students Bsed on AHP-fuzzy Comprehensive Evlution

More information

Facilitating Rapid Analysis and Decision Making in the Analytical Lab.

Facilitating Rapid Analysis and Decision Making in the Analytical Lab. Fcilitting Rpid Anlysis nd Decision Mking in the Anlyticl Lb. WHITE PAPER Sponsored by: Accelrys, Inc. Frnk Brown, Ph.D., Chief Science Officer, Accelrys Mrch 2009 Abstrct Competitive success requires

More information

Prescriptive Program Rebate Application

Prescriptive Program Rebate Application Prescriptive Progrm Rebte Appliction Check the pproprite progrm box for your rebte. OID Internl Use Only Cooling FSO (Fluid System Optimiztion) Foodservice Equipment Heting Lighting Motors & Drives Customer

More information

Commercial Cooling Rebate Application

Commercial Cooling Rebate Application Commercil Cooling Rebte Appliction Generl Informtion April 1 st 2015 through Mrch 31 st 2016 AMU CUSTOMER INFORMATION (Plese print clerly) Business Nme: Phone #: Contct Nme: Miling Address: City: Stte:

More information

Estimating Exchange Rate Exposures:

Estimating Exchange Rate Exposures: Estimting Exchnge Rte Exposures: Issues in Model Structure * Gordon M. Bodnr ** Pul H. Nitze School of Advnced Interntionl Studies, The Johns Hopkins University 1740 Msschusetts Avenue NW Wshington, DC

More information

LINEAR TRANSFORMATIONS AND THEIR REPRESENTING MATRICES

LINEAR TRANSFORMATIONS AND THEIR REPRESENTING MATRICES LINEAR TRANSFORMATIONS AND THEIR REPRESENTING MATRICES DAVID WEBB CONTENTS Liner trnsformtions 2 The representing mtrix of liner trnsformtion 3 3 An ppliction: reflections in the plne 6 4 The lgebr of

More information

Value Function Approximation using Multiple Aggregation for Multiattribute Resource Management

Value Function Approximation using Multiple Aggregation for Multiattribute Resource Management Journl of Mchine Lerning Reserch 9 (2008) 2079-2 Submitted 8/08; Published 0/08 Vlue Function Approximtion using Multiple Aggregtion for Multittribute Resource Mngement Abrhm George Wrren B. Powell Deprtment

More information

P.3 Polynomials and Factoring. P.3 an 1. Polynomial STUDY TIP. Example 1 Writing Polynomials in Standard Form. What you should learn

P.3 Polynomials and Factoring. P.3 an 1. Polynomial STUDY TIP. Example 1 Writing Polynomials in Standard Form. What you should learn 33337_0P03.qp 2/27/06 24 9:3 AM Chpter P Pge 24 Prerequisites P.3 Polynomils nd Fctoring Wht you should lern Polynomils An lgeric epression is collection of vriles nd rel numers. The most common type of

More information

FDIC Study of Bank Overdraft Programs

FDIC Study of Bank Overdraft Programs FDIC Study of Bnk Overdrft Progrms Federl Deposit Insurnce Corportion November 2008 Executive Summry In 2006, the Federl Deposit Insurnce Corportion (FDIC) initited two-prt study to gther empiricl dt on

More information

Health Information Systems: evaluation and performance of a Help Desk

Health Information Systems: evaluation and performance of a Help Desk 536 Digitl Helthcre Empowering Europens R. Cornet et l. (Eds.) 2015 Europen Federtion for Medicl Informtics (EFMI). This rticle is published online with Open Access by IOS Press nd distributed under the

More information

Threshold Population Levels for Rural Retail Businesses in North Dakota, 2000

Threshold Population Levels for Rural Retail Businesses in North Dakota, 2000 Agribusiness & Applied Economics Miscellneous Report No. 191 July 2002 Threshold Popultion Levels for Rurl Retil Businesses in North Dkot, 2000 Rndl C. Coon nd F. Lrry Leistritz Deprtment of Agribusiness

More information

Evaluation of sequential extraction procedures for soluble and insoluble hexavalent chromium compounds in workplace air samples

Evaluation of sequential extraction procedures for soluble and insoluble hexavalent chromium compounds in workplace air samples Evlution of sequentil extrction procedures for soluble nd insoluble hexvlent chromium compounds in workplce ir smples Kevin Ashley,* Gregory T. Applegte, x A. Dle Mrcy, b Nthlie Crbin d nd Mrtine Demnge

More information

Performance analysis model for big data applications in cloud computing

Performance analysis model for big data applications in cloud computing Butist Villlpndo et l. Journl of Cloud Computing: Advnces, Systems nd Applictions 2014, 3:19 RESEARCH Performnce nlysis model for big dt pplictions in cloud computing Luis Edurdo Butist Villlpndo 1,2,

More information

Lectures 8 and 9 1 Rectangular waveguides

Lectures 8 and 9 1 Rectangular waveguides 1 Lectures 8 nd 9 1 Rectngulr wveguides y b x z Consider rectngulr wveguide with 0 < x b. There re two types of wves in hollow wveguide with only one conductor; Trnsverse electric wves

More information