SYSTEMATIC CHARGING(U) FOREIGN TECHNOLOGY DIV URIGHT-PATTERSON AFB OH Z KUPERMAN 14 FEB 83 FTD-ID<RS)T F/G 5/9

Size: px
Start display at page:

Download "SYSTEMATIC CHARGING(U) FOREIGN TECHNOLOGY DIV URIGHT-PATTERSON AFB OH Z KUPERMAN 14 FEB 83 FTD-ID<RS)T F/G 5/9"

Transcription

1 AD-A UNCLASSFED SYSTEMATC CHARGNG(U) FOREGN TECHNOLOGY DV URGHT-PATTERSON AFB OH Z KUPERMAN 14 FEB 83 FTD-D<RS)T F/G 5/9 END NL 1/1 FLMED

2 -^ J ^_?. L tmmmt..' -<- -v, v; v~ -V S W "--. *: V 9 M * *.*.a.- *'*. r.** A, *7.» * Kfcjl«fr" >*" ^r v - " i T t^t ',r,'i.»,',. ' > - l^i^»^ % 'V'^i ' -*fc>..".--:-] v.:.; '"-: r- «^i r: v-.l 0 f'«m * lää 12.2 tt «, li. u Ü 116 m 4 :* MCROCOPY RESOLUTON TEST CHART NATONAL BUREAU OF STANDARDS A 1 m i "...

3 w_ tf, n-. -^.r. >, vr%. M.»; '^, ^,"'* T< "'* a < 1 c FTD-D(RS)T CO CM FOREGN TECHNOLOGY DVSON..' SYSTEMATC "CHARGNG^ by Z. Kuperman :.. >- O o,^7 DT1C ELECTE D MAR Approved for public release; distribution unlimited. < &0 xj W ^o ** </' ' - _ - M..^m m

4 ,_ _.,_.,. i -^ * «i. * ' "^'^ '1 "ft 7^.. ^ -«VMVM^ a. H.... L..«.. i -i. i -i. - i -.- _ i pjp- D(RS)T : UNEDTED MACHNE TRANSLATON FTD-D(RS)T February 1983 MCROFCHE NR: FTD-83-C SYSTEMATC ^CHARGNG*' e By: Z. Kuperman English pages: 3 Source: Krasnaya Zvezda, Nr. 214(13653), 12 September 1968, pp. 4 Country of origin: USSR This document is a machine translation. Requester: FTD/TQTM Approved for public release; distribution unlimited. Accession For NTS ORAil DJC TAB U:iauaoun«ft4 Justification- 7\ n a Br, Dl»trl»utlon/ A»«ll»blJtT "!»B Avail'»7» DlBt THS TRANSLATON S A RENDTON OF THE ORG- NAL FOREGN TEXT WTHOUT ANY ANALYTCAL OR EDTORAL COMMENT. STATEMENTS OR THEORES ADVOCATED OR MPLED ARE THOSE OF THE SOURCE AND DO NOT NECESSARLY REFLECT THE POSTON OR OPNON OF THE FOREGN TECHNOLOGY D- VSON. PREPARED BY: TRANSLATON DVSON FOREGN TECHNOLOGY DVSON WP-AFB, OHO. FTP- D ( RS ) T ~ 82 Date w Feb 19 83

5 ".".". l. ' -.'» i i ".".'".". ".^. ". '. " " ~ L ,. 3C S f. - Block A a 6 6 B B T r A A E e W w 3 3 M M fl M H H 'i,1 H H 0 o n n U. S. BOARD ON GEOGRAPHC NAMES TRANSLTERATON SYSTEM talic Transliteration Block talic A a A, a p p p p B 6 B, b C c C c s # v, v T T r m r * G, g y y y y J7 d D, d 0 4) 0 «Ye, ye; E, e* X x X M OK Zh, zh \\ w ti 3s Z, z MM V H Ä u, i LL UJ Zff il Y, y 14 K Ztf K * K, k b b 2> J7 * L, 1 H bi / MM M, m b b 5 H H N, n o 0, o HJ KD A3 /7 * P, p fl A ^ *ye initially, after vowels, and after t, b; e elsewhere. When written as e in Russian, transliterate as ye or e. * x V v t w ft f» Transliteration R, r S, s T, t U, u F, f Kh, kh Ts, ts Ch, ch Sh, sh Shch, shch it Y, y E, e Yu, yu Ya, ya RUSSAN AND ENGLSH TRGONOMETRC FUNCTONS Russian English Russian English Russian English sin sin sh sinh arc sh sinh^j cos cos ch cosh arc ch cosh_i tg tan th tanh arc th tanh". ctg cot cth coth arc cth coth_:j" sec sec sch sech arc sch sech", cosec CSC csch csch arc csch csch - Russian English rot curl lg log GRAPHCS DSCLAMER All figures, graphics, tables, equations, etc. merged into this translation were extracted from the best quality copy available..

6 *r^7 - - : :-.?..- x F DOC « PAGE 1 Page 4. Systematic "charging". 1 Numerous hot combat it will burn in the tactical training field of Baku highest combined-arms command school during begun new academic year. And so that they would go the exercise with the maximum benefit, earlier than cadets they would arrive here the instructors of tactics. The demonstration exercise with them was carried out the head of school major general K. Sevast'yanov. m nstructor lieutenant colonel V. Samzilkii immediately is taken the stressed rate/tempo. t passed a total of several minutes, and the cadets of the platoon, which participates in the demonstration 1 exercise, have already been trained/aged in the execution of norms. This is caused the approval of those being present - indeed in the troops/forces, where to serve future commanders, struggle for the r execution of norm - the most important element/cell of combat - readiness _- _.- -»- - >.... ^. *.».-.

7 f.»- ^.».'.».».»..'..».».»,'U*.».. U ' l"_ '. ' - ' -,'-" -* *. -' - ' ',"-.' '.-'. * ' * ' ' * -" -' * >' **» '' 1 DOC = PAGE 2 ä Still recently radio for the platoon commander it was only means/facility of contact with the company commander. Now platoon commander generally does not manage without radio. At the same time they were discovered great possibilities for the daring battlefield maneuver. Cadet Galileyev it used this possibility. With the attack of strong point in depth of the defense of "enemy" it it supported coupling constant with the attacking vehicle, it was continuously in the course of its activities. But when platoon he commanded cadet Skvortsov, it was played air raid to the moving column of vehicles. Simultaneously with this K ( dosimeters they showed the presence of radioactive substances in the terrain. n the past many instructors these questions they mastered separately. But indeed the enemy of yard whether it will be adopted its combat means "on the portions". So must proceed work and in the combat training. With innovation met instructors, also, during the selection/analysis of exercise. They were previously prepared/prefabricated the diagram of the situation in which for platoon it was necessary to act. From they rapidly supplemented with the solutions which they wereapplied in the exercise, by correct ones and incorrect ones. Selection/analysis it became more clear, instructive. «L - - -

8 r r -r--^-.-^t'-.-.-.,-- ','.- > ^- {. '.T»...»-.v-. *. y;.-. -.*.-. :. -,">"--,*>". t *'. '.." ~ m - ' *.'* ' " ' *' *: v-.vv-."". *~.\y 1. '. r = -= ~~- ~ /'~\ DOC = PAGE The most difficult work for some instructors, especially young, 1 it is the designation of "enemy". The rationalizers of school in chapter with the senior instructor of tactics lieutenant colonel N. Plakushchy they created the movable target vehicle which it makes it possible to designate to five platoon strong points on sufficient for training of platoon in depth. n the vehicle is installed the amplifier which it reproduces written on the tape recording tape of machine gun firing and other noises of combat. The exercise conducted it became good systematic "exercise." t A ( ; it mobilized instructors for scrupulous, careful preparation/training for each rendezvous with its wards, it showed as much there is still the reserves of an improvement in the field training of future officers. i Lieutenant colonel Z. Kuperman i i * ^ _*..--_» ^» fc_. _ m -,..-

9 FLMED i- l: ' ;

AD-A PHOTO-DESTRUCTION OF POLYNETHYL METHACRYLATE IN / U SOLUTIONS(J) FOREIGN TECHNOLOGY DIV URIGHT-PATTERSON

AD-A PHOTO-DESTRUCTION OF POLYNETHYL METHACRYLATE IN / U SOLUTIONS(J) FOREIGN TECHNOLOGY DIV URIGHT-PATTERSON AD-A185 426 PHOTO-DESTRUCTON OF POLYNETHYL METHACRYLATE N / U SOLUTONS(J) FOREGN TECHNOLOGY DV URGHT-PATTERSON AFB OH RN S KA:RSH ET AL 88 SEP 87 UNCLASSFED FTD-D(S) T_89 7-87 F/G 71/6 111111 ~.0 2 L 3.

More information

AO-A FOREIGN TECHNOLOGY.DIV WRIGHT-PATTERSON AFB 0ON F/G 13/7 MEMORY DEVICE U) MAR A2 N A PASHKIN, V N MALYUTIN UNCLASSIFIED FTD-ID(RS)T 0163

AO-A FOREIGN TECHNOLOGY.DIV WRIGHT-PATTERSON AFB 0ON F/G 13/7 MEMORY DEVICE U) MAR A2 N A PASHKIN, V N MALYUTIN UNCLASSIFIED FTD-ID(RS)T 0163 AO-A112 161 FOREIGN TECHNOLOGY.DIV WRIGHT-PATTERSON AFB 0ON F/G 13/7 MEMORY DEVICE U) MAR A2 N A PASHKIN, V N MALYUTIN UNCLASSIFIED FTD-ID(RS)T 0163 82 NL MEEEEM Hfl~ 1.02 0 IIII18 111111.25 RE I TfSTjlR

More information

EhhhhEE. AD-Ri FERROMRfGNETIC DIELECTRIC SUBSTRNCE(U) FOREIGN 1/- - - TECHNOLOGY DIV WRIGHT-PATTERSON AFB ON

EhhhhEE. AD-Ri FERROMRfGNETIC DIELECTRIC SUBSTRNCE(U) FOREIGN 1/- - - TECHNOLOGY DIV WRIGHT-PATTERSON AFB ON AD-Ri63 214 FERROMRfGNETIC DIELECTRIC SUBSTRNCE(U) FOREIGN 1/- - - TECHNOLOGY DIV WRIGHT-PATTERSON AFB ON EhhhhEE Y G BORZYAK ET AL 17 DEC 85 FTD-IDCRS)T-1203-85 UNCLASIIE F/G 11/6 NL I 4 =0 * 1U11in 111

More information

fll m L31 12 MICROCOPY RESOLUTION TEST CHART f41l BUREAU OF STAI4DAN A mill

fll m L31 12 MICROCOPY RESOLUTION TEST CHART f41l BUREAU OF STAI4DAN A mill AD-A129 340 AREAS 0 THE RATIONAL USE 0O F FERENT SPACECRAFT POWER 1/1 SYSTEMS U" FORE IGN TEC HNOLooY DIV WRIGHT-PATTERSON AFB OH A A EULADIN ET AL 31 MAR 83 FTDIDRD T0307-R3 m~fhhee URCLASSIFED F/0 5/2

More information

INFRCNGCAE ELMNSFR. m E-1525CAT(RN LIKE..(U) AG. FOREIGN WRIGHT-PATTERSON AFB OH 0 S RAYNUS ET AL. e8 APR 85 ENOCN

INFRCNGCAE ELMNSFR. m E-1525CAT(RN LIKE..(U) AG. FOREIGN WRIGHT-PATTERSON AFB OH 0 S RAYNUS ET AL. e8 APR 85 ENOCN UDA5 UN TUNNELS AT(RN AND THE ENOCN LIKE..(U) AG FOREIGN O LMNSFRLNN TECHNOLOGY DIY WRIGHT-PATTERSON AFB OH 0 S RAYNUS ET AL. e8 APR 85 / INFRCNGCAE ELMNSFR UNCLASSIFIED FTD-ID(RS)T-0785-84 F/G 03/3 NL

More information

FOREIGN TECHNOLOGY DIVISION

FOREIGN TECHNOLOGY DIVISION AD-A2 3 746FTD-ID(RS) T-0958-90 FOREIGN TECHNOLOGY DIVISION METHOD OF OBTAINING PHENOL-FURFURAL RESINS by D.R. Tursunova, N.U. Rizayev, et al. 91 3 14 087 FT[- ID(RS)T-0958-90 PARTIALLY EDITED MACHINE

More information

8 9. 7~ FOREIGN TECHNOLOGY DIVISION. Ca Ca 00. JuL ]TD-ID(RS)T THESES MND AMAOTAIONS OF A SCIETIFIC AND TECHNICAL

8 9. 7~ FOREIGN TECHNOLOGY DIVISION. Ca Ca 00. JuL ]TD-ID(RS)T THESES MND AMAOTAIONS OF A SCIETIFIC AND TECHNICAL ]TD-ID(RS)T- 1924-83 Ca Ca 00 o FOREIGN TECHNOLOGY DIVISION N% THESES MND AMAOTAIONS OF A SCIETIFIC AND TECHNICAL STUDWETS, AN SIUDENTS OF THE ENGINEERING DEPAR7NEIT (Selected Articles) JuL 2 989 Approved

More information

OPTICAL PRATS(U) FORE IGN TECHNOLOGY DIV URIGNT-POTTERSON RFD OH 0 Y KURSNINSKA ET AL. U7CLRS SI F I E Of OCT 7 FTD-(RS)T SF/ 7/ L

OPTICAL PRATS(U) FORE IGN TECHNOLOGY DIV URIGNT-POTTERSON RFD OH 0 Y KURSNINSKA ET AL. U7CLRS SI F I E Of OCT 7 FTD-(RS)T SF/ 7/ L OPTCAL PRATS(U) FORE GN TECHNOLOGY DV URGNT-POTTERSON RFD OH 0 Y KURSNNSKA ET AL. U7CLRS S F E Of OCT 7 FTD-(RS)T94-07 -SF/ 7/ L -P.-. e %...-.... 111112.. 1.1 1. 6 Pow.',.% b,a % L %. %. ;'...-...-...,,.,.,-.,/.'.-..'

More information

IEND AD-AI CURRENT DENSIT IN CATHODE SP0TS IN THE CONDENSED

IEND AD-AI CURRENT DENSIT IN CATHODE SP0TS IN THE CONDENSED AD-AI726 221 CURRENT DENSIT IN CATHODE SP0TS IN THE CONDENSED 0 SCHARGE U) FOREIGN TECH-NOLOGY DIV WRIGHT-PATTERSON AFBOH E ZIZA 15 FB 83 FTDIDNS)T874-82 UNC ASSIIDFG91 IEND N Jim'1 132 W L132 LA 1111112,5

More information

_ L iri. l,*.*** *..*,.!. RESOLUTION TEST CHART. NATIONAL BuREAU, OF STANOAROS A

_ L iri. l,*.*** *..*,.!. RESOLUTION TEST CHART. NATIONAL BuREAU, OF STANOAROS A AD-NI5B 539 THE EFFECT OF FLUOROCARBON SURFACTANT ADDITIVES'ON TIE / EFFECTIVE VISCOSIT.. CU) FOREIGN TECHNOLOGY DIV URIGHT-PATTERSON AFB OH L A SHITS ET AL. 29 JUL 95 I MENOMONIE UNCLASSIFIED FTD-ID(RS)T-±144-B4

More information

QELEC T Ef DTIC. Fit -E. Copy 90! 21., ' FOREIGN TECHNOLOGY DIVISION BEST. AVAILABLE COPY. Ln 00 DEC

QELEC T Ef DTIC. Fit -E. Copy 90! 21., ' FOREIGN TECHNOLOGY DIVISION BEST. AVAILABLE COPY. Ln 00 DEC II Fit -E. Copy is FTD-ID(RS)T-0953-90 o Ln 00 M FOREIGN TECHNOLOGY DIVISION METHOD OF THE PREPARATION OF TECHNICAL FOAM by B.S. Batalai, Yu. P. Ozhgibesov, et al. DTIC QELEC T Ef DEC 11 19901 BEST. AVAILABLE

More information

~ A05le 258 FOR 16N TECHNOLO6Y DIV WRIGHT PATTERSON AFB OHIO F/S 12/1. LASS IF led FT R I I,1 I

~ A05le 258 FOR 16N TECHNOLO6Y DIV WRIGHT PATTERSON AFB OHIO F/S 12/1. LASS IF led FT R I I,1 I A05le 258 FOR 16N TECHNOLO6Y DV WRGHT PATTERSON AFB OHO F/S 12/1 LASS F led FT R 20 15 rc,1 t 2 5 2 H 1 1111120 1111! 25 Qfl 4 llll V N \\ \, L \ \ h FTD D(RS)T 2015 77 FOREGN TEC HNOLOGY DVSON c2 ON THE

More information

EEEEEEEEEEND A1A31 THE POSSIBLT OF MPLIYNGINFRARED'RADAONBY 1/ HIGH-PRESSURE REACTING GAS(U) FOREIGN TECHNOLOG DI WRIGHT-PATTERSON

EEEEEEEEEEND A1A31 THE POSSIBLT OF MPLIYNGINFRARED'RADAONBY 1/ HIGH-PRESSURE REACTING GAS(U) FOREIGN TECHNOLOG DI WRIGHT-PATTERSON A1A31 THE POSSIBLT OF MPLIYNGINFRARED'RADAONBY 1/ HIGH-PRESSURE REACTING GAS(U) FOREIGN TECHNOLOG DI WRIGHT-PATTERSON EEEEEEEEEEND AFBOH V A KOCHELANET AL 22JUN 83 UNCASSIFED FTD(S RSG T0 A7/S 5983 iii1

More information

DTI AD-A FOREIGN AEROSPACE SCIENCE AND TECHNOLOGY CENTER F EB

DTI AD-A FOREIGN AEROSPACE SCIENCE AND TECHNOLOGY CENTER F EB AD-A261 061 FOREIGN AEROSPACE SCIENCE AND TECHNOLOGY CENTER ELIMINATION OF RHYTHM FOR PERIODICALLY CORRELATED RANDOM PROCESSES by K.S. Voychishin, Ya. P. Dragan DTI F EB 16 11993 93-02701 Approved for

More information

Wi KU _2. I Ljl. V.I&L6. MEi 11. -w~~a. I"-u limo "A 11,6

Wi KU _2. I Ljl. V.I&L6. MEi 11. -w~~a. I-u limo A 11,6 ED-Ri83 817 STUDY OF THE PROCESS OF THERMAL DECOMPOSITION OF PAN ti FIBER DURING HEAT TR (U) FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AF8 ON A S FIALKOV ET AL 22 JUL 87 UNCLASSIFIEDF(ST - i DCR)T6i3 F/G

More information

~~~~~~~~~~~~~~~ 3 ~~~~~ O98

~~~~~~~~~~~~~~~ 3 ~~~~~ O98 AD A06 7 607 FOREISII TECHNOLOGY DIV WRIGHT PATTERSON AFO OHIO FIG 20/15 ADVECTIVE FLOW FROM A LIPEAR FEAT SOUCE LOCATED ON A LIQUID StJR ETC(U) Oft 78 0 A YEVDO$(IMOVA, V D ZIMIN UNCLASSIFIED FTD ID(RS1T

More information

D D C. EtSEüTTE FOREIGN TECHNOLOGY DIVISION PTD-ID(PS)I DEC-19 B75

D D C. EtSEüTTE FOREIGN TECHNOLOGY DIVISION PTD-ID(PS)I DEC-19 B75 PTD-ID(PS)I-2395-75 FOREIGN TECHNOLOGY DIVISION METHOD OP OBTAINING DERIVATIVES OP 3,5-DINITRO-l,2,'l-TRIAZOLE by T."P. Kofman, K. S. Pevzner and V. I. Yanuylova D D C DEC-19 B75 EtSEüTTE D Approved for

More information

DEPARTMENT OF THE AIR FORCE NATIONAL AIR & SPACE INTELLIGENCE CENTER (AF ISR AGENCy) WRlGHT.PATTERSON AFB OHIO

DEPARTMENT OF THE AIR FORCE NATIONAL AIR & SPACE INTELLIGENCE CENTER (AF ISR AGENCy) WRlGHT.PATTERSON AFB OHIO DEPARTMENT OF THE AR FORCE NATONAL AR & SPACE NTELLGENCE CENTER (AF SR AGENCy) WRlGHT.PATTERSON AFB OHO Colonel Mark E. Hess Vice Commander National Air and Space ntelligence Center (NASle) 480 Watson

More information

co~ FOREIGN TECHNOLOGY DIVISION FTD-HT Approved for public release; distribution unlimited. ~NATION'AL TEMPERATURE DEPENDENCES OF THE

co~ FOREIGN TECHNOLOGY DIVISION FTD-HT Approved for public release; distribution unlimited. ~NATION'AL TEMPERATURE DEPENDENCES OF THE co~ FTD-HT-23-1099-71 FOREIGN TECHNOLOGY DIVISION TEMPERATURE DEPENDENCES OF THE VISCOSITY OF METALS by M. P. Bogdanovich and B. A Baum ~NATION'AL Approved for public release; IR AT,-, ON TECHNICAL1 distribution

More information

1.0 ~~ L1 ~ L 2.2 ~ ~ HIO ~ IIII ~ I.25 IIII~ IUhI ~ RF,OW ~ CROCOP ~ M ~ NA1I(JNAL IIIJAIAU SIAN[)AIA DS 963 A

1.0 ~~ L1 ~ L 2.2 ~ ~ HIO ~ IIII ~ I.25 IIII~ IUhI ~ RF,OW ~ CROCOP ~ M ~ NA1I(JNAL IIIJAIAU SIAN[)AIA DS 963 A -A O6b *69 FOREGN TECHNOLOGY DV WRGHT PATTERSON AFB OHO F,S kfl A STUDY OF ATMOSPHERC AEROSOL USNG OPTCAL METHODS. (U) StP 7G V V ARTESCN UNCLASSFED FTD O (RS)T 14S3 7$ N. F 1.0 L1 L i L 2.2 HO 0.25 Uh

More information

innuuuuu~o AD-ACES? 870 FOREIGN TECHNOLOGY DIV WRIGHT-PATTER50N AF8 OH F/G 20/7 SIRCORWD IMPULSE BEARONSU JAN 50A IPAVLOVSKIY 6 0 KULESCHOV

innuuuuu~o AD-ACES? 870 FOREIGN TECHNOLOGY DIV WRIGHT-PATTER50N AF8 OH F/G 20/7 SIRCORWD IMPULSE BEARONSU JAN 50A IPAVLOVSKIY 6 0 KULESCHOV AD-ACES? 870 FOREIGN TECHNOLOGY DIV WRIGHT-PATTER50N AF8 OH F/G 20/7 SIRCORWD IMPULSE BEARONSU JAN 50A IPAVLOVSKIY 6 0 KULESCHOV UNLSIIDFTO-10 RS)T- 1655-79 innuuuuu~o NL PHOTOGRAPH THIS SHEET ~~ ~LEVELL

More information

'Eommmm. TECHNOLOGY DIY WRIGHT-PATTERSON RFB OH L V DOCJUCHRYEV UNCLASSIFIED 31 MAY 84 FTD-ID(RS)T F/ 12/1i N

'Eommmm. TECHNOLOGY DIY WRIGHT-PATTERSON RFB OH L V DOCJUCHRYEV UNCLASSIFIED 31 MAY 84 FTD-ID(RS)T F/ 12/1i N U F C F W I H BRE OC T D U O E I D -fl 142 127 O S C IL L A T IO N S OF R R E S E R O IR W ITH A F LU ID ON THE FREE i/ I TECHNOLOGY DIY WRIGHT-PATTERSON RFB OH L V DOCJUCHRYEV UNCLASSIFIED 31 MAY 84 FTD-ID(RS)T-9073-84

More information

" EEEEEomhhEEEE EEEEEET. FI 9/5 PRINCIPLE OF THE CONSTRUCTION OF SELF-TUNING LOOPS FOR SERVO Sy-_ETCCU) AFB OH

 EEEEEomhhEEEE EEEEEET. FI 9/5 PRINCIPLE OF THE CONSTRUCTION OF SELF-TUNING LOOPS FOR SERVO Sy-_ETCCU) AFB OH 7AD-A11 938 =FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OH FI 9/5 PRINCIPLE OF THE CONSTRUCTION OF SELF-TUNING LOOPS FOR SERVO Sy-_ETCCU) " EEEEEomhhEEEE JAN 82 B V NOVOSELOV UNCLASSIFIED FTO-ID(RS)T.1505-81

More information

FOREIGN TECHNOLOGY DIVISION

FOREIGN TECHNOLOGY DIVISION FTD-ID(RS)T-0100-90 FOREIGN TECHNOLOGY DIVISION NRADICAL POLYMERIZATION OF DIENE HYDROCARBONS IN A PRESENCE OF PEROXIDE NOF HYDROGEN AND SOLVENT 1. Effectiveness of initiation and rate of expansion H202

More information

AD/A THEORY OF PATTERN RECOGNITION AND MODERN FORECASTING. V. Kaspin Foreign Technology Division Wright-Patterson Air Force Base, Ohio

AD/A THEORY OF PATTERN RECOGNITION AND MODERN FORECASTING. V. Kaspin Foreign Technology Division Wright-Patterson Air Force Base, Ohio THEORY OF PATTERN RECOGNITION AND MODERN FORECASTING V. Kaspin Foreign Technology Division Wright-Patterson Air Force Base, Ohio 18 October 1974 AD/A-000 445 L m DISTRIBUTED BY: NatiMil Technical Informitlon

More information

p NCLASSIFIED FTD-ID(RS)T-03±8 84 F/G 28/4 NL

p NCLASSIFIED FTD-ID(RS)T-03±8 84 F/G 28/4 NL k D-i~ 64 IPLIFIED NR VIER-STOKES EQUATIONS AND COMBINED i/i ADR4 63 SOLUTION OF NON-VISCOUS A.(U) FOREIGN TECHNOLOGY DIV I NWRIGHT-PATTERSON AFB OH Z GAO 10 PlAY 84 p NCLASSIFIED FTD-ID(RS)T-03±8 84 F/G

More information

F11?! F F COPY ~ FOREIGN TECHNOLOGY DIVISION FTD-ID(RS)T ISOMERIZATION OF ISOCYANATES IN THE PRESENCE OF TETRABUTOXYTITANIUM

F11?! F F COPY ~ FOREIGN TECHNOLOGY DIVISION FTD-ID(RS)T ISOMERIZATION OF ISOCYANATES IN THE PRESENCE OF TETRABUTOXYTITANIUM F11?! F F COPY FTD-ID(RS)T-0673-88 FOREIGN TECHNOLOGY DIVISION U, I I ISOMERIZATION OF ISOCYANATES IN THE PRESENCE OF TETRABUTOXYTITANIUM O by L.F. Tugolukova, E.K. Ignatiyeva, et al. 88 9 13 03~ FTD-

More information

METHODS FOR CHANGING THE STRESS FIELD PARAMETERS DURING BLASTING OPERATIONS IN EJECTION-PRONE ROCK

METHODS FOR CHANGING THE STRESS FIELD PARAMETERS DURING BLASTING OPERATIONS IN EJECTION-PRONE ROCK r AD/A-000 443 METHODS FOR CHANGING THE STRESS FIELD PARAMETERS DURING BLASTING OPERATIONS IN EJECTION-PRONE ROCK M. F. Drukovsnyi, et al Foreign Technology Division Wright-Patterson Air Force Base, Ohio

More information

o o CO 2 u. o c <U a) (l> U) <1> E n r< ^) a» <u t. x: 0) (1) o x:?*.» a> 6 co cd c ho o o c <M ^ <ü cd <u c o u 55 H o t«id p. (o.

o o CO 2 u. o c <U a) (l> U) <1> E n r< ^) a» <u t. x: 0) (1) o x:?*.» a> 6 co cd c ho o o c <M ^ <ü cd <u c o u 55 H o t«id p. (o. [ I 4) Ü rh 11 I I I i. CO 2 0 > 5 o o X u u. o Q M < UJ EH Ä CO Q O O o OE-«Ü w I- O c o u c (A cd c ß (0 a» U) E n r< ^) a» 4.> (0 0) rh 6

More information

FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFS OH F/6 9/5. AD-Al03 128

FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFS OH F/6 9/5. AD-Al03 128 k I AD-Al03 128 FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFS OH F/6 9/5 PROBLEMS OF THE OPTIMAL CONSTRUCTION OF FERRITE PHASE SHIFTERS -- ETC (Ul JUL 8I A K STOLYAROVP I A NALUN0V END 0,FOREIGN TECHNOLOGY

More information

Differential and Integral Calculus

Differential and Integral Calculus School of science an engineering El Akhawayn University Monay, March 31 st, 2008 Outline 1 Definition of hyperbolic functions: The hyperbolic cosine an the hyperbolic sine of the real number x are enote

More information

90 Chapter 5 Logarithmic, Exponential, and Other Transcendental Functions. Name Class. (a) (b) ln x (c) (a) (b) (c) 1 x. y e (a) 0 (b) y.

90 Chapter 5 Logarithmic, Exponential, and Other Transcendental Functions. Name Class. (a) (b) ln x (c) (a) (b) (c) 1 x. y e (a) 0 (b) y. 90 Chapter 5 Logarithmic, Eponential, and Other Transcendental Functions Test Form A Chapter 5 Name Class Date Section. Find the derivative: f ln. 6. Differentiate: y. ln y y y y. Find dy d if ey y. y

More information

Chapter 3 Differentiation Rules (continued)

Chapter 3 Differentiation Rules (continued) Chapter 3 Differentiation Rules (continued) Sec 3.5: Implicit Differentiation (continued) Implicit Differentiation What if you want to find the slope of the tangent line to a curve that is not the graph

More information

fapplication OF THE METHOD OF HARMIONIC LINEARIZATION FOR I

fapplication OF THE METHOD OF HARMIONIC LINEARIZATION FOR I FOREIGN TECHNOLOGY DIVISION o~ I14 fapplication OF THE METHOD OF HARMIONIC LINEARIZATION FOR I INVESTIGATING SLIP MODES IN A DIGITAL TRACKING SYSTEM WITH VARIABLE STRUCTURE Ye.Ya. Ivanchenko, V.A. Kamenev

More information

( ) = 1 t + t. ( ) = 1 cos x + x ( sin x). Evaluate y. MTH 111 Test 1 Spring Name Calculus I

( ) = 1 t + t. ( ) = 1 cos x + x ( sin x). Evaluate y. MTH 111 Test 1 Spring Name Calculus I MTH Test Spring 209 Name Calculus I Justify all answers by showing your work or by proviing a coherent eplanation. Please circle your answers.. 4 z z + 6 z 3 ez 2 = 4 z + 2 2 z2 2ez Rewrite as 4 z + 6

More information

Math 180 Prof. Beydler Homework for Packet #5 Page 1 of 11

Math 180 Prof. Beydler Homework for Packet #5 Page 1 of 11 Math 180 Prof. Beydler Homework for Packet #5 Page 1 of 11 Due date: Name: Note: Write your answers using positive exponents. Radicals are nice, but not required. ex: Write 1 x 2 not x 2. ex: x is nicer

More information

Differential Equations DIRECT INTEGRATION. Graham S McDonald

Differential Equations DIRECT INTEGRATION. Graham S McDonald Differential Equations DIRECT INTEGRATION Graham S McDonald A Tutorial Module introducing ordinary differential equations and the method of direct integration Table of contents Begin Tutorial c 2004 g.s.mcdonald@salford.ac.uk

More information

Trigonometric substitutions (8.3).

Trigonometric substitutions (8.3). Review for Eam 2. 5 or 6 problems. No multiple choice questions. No notes, no books, no calculators. Problems similar to homeworks. Eam covers: 7.4, 7.6, 7.7, 8-IT, 8., 8.2. Solving differential equations

More information

I =D-A STUDY OF CROSS-LINKING DENSITY AND THE TYPE OF CROSS i/i

I =D-A STUDY OF CROSS-LINKING DENSITY AND THE TYPE OF CROSS i/i I =D-A158 199 STUDY OF CROSS-LINKING DENSITY AND THE TYPE OF CROSS i/i LINKAGE IN POLYURETH.. (U) FOREIGN TECHNOLOGY DIV NRIGHT-PATTERSON AFB OH L M SERGEYEVA ET AL. 02 AUG 85 UNCLASSIFIED IFTD-ID(RS)T-i26?-84

More information

Hyperbolic functions

Hyperbolic functions Roberto s Notes on Differential Calculus Chapter 5: Derivatives of transcendental functions Section Derivatives of Hyperbolic functions What you need to know already: Basic rules of differentiation, including

More information

IIII DISTRIBUTED BY: Nanioal TeckncalI lefumatio Sofico U. S. DEPARTMENT OF COMMERCE 5285 Port Royal Road, Springfield Va.

IIII DISTRIBUTED BY: Nanioal TeckncalI lefumatio Sofico U. S. DEPARTMENT OF COMMERCE 5285 Port Royal Road, Springfield Va. AD-75 945 THE PROBLEM OF THE ANGULAR DSTRBUTON OF ASCENDNG LONG-WAVE RADATON E. P. Barashkova, et al Foreign Technology Division Wright-Patterson Air Force Base, Ohio 17 August 1972 f DSTRBUTED BY: Nanioal

More information

Good Things about the Gudermannian. A Series Illustrating Innovative Forms of the Organization & Exposition of Mathematics by Walter Gottschalk

Good Things about the Gudermannian. A Series Illustrating Innovative Forms of the Organization & Exposition of Mathematics by Walter Gottschalk Good Things about the Gudermannian #88 of Gottschalk s Gestalts A Series Illustrating Innovative Forms of the Organization & Eosition of Mathematics by Walter Gottschalk Infinite Vistas Press PVD RI 003

More information

CHAPTER 5 Logarithmic, Exponential, and Other Transcendental Functions

CHAPTER 5 Logarithmic, Exponential, and Other Transcendental Functions CHAPTER 5 Logarithmic, Eponential, and Other Transcendental Functions Section 5. The Natural Logarithmic Function: Differentiation.... 9 Section 5. The Natural Logarithmic Function: Integration...... 98

More information

Chapter 5 Logarithmic, Exponential, and Other Transcendental Functions

Chapter 5 Logarithmic, Exponential, and Other Transcendental Functions Chapter 5 Logarithmic, Exponential, an Other Transcenental Functions 5.1 The Natural Logarithmic Function: Differentiation 5.2 The Natural Logarithmic Function: Integration 5.3 Inverse Functions 5.4 Exponential

More information

m(x) = f(x) + g(x) m (x) = f (x) + g (x) (The Sum Rule) n(x) = f(x) g(x) n (x) = f (x) g (x) (The Difference Rule)

m(x) = f(x) + g(x) m (x) = f (x) + g (x) (The Sum Rule) n(x) = f(x) g(x) n (x) = f (x) g (x) (The Difference Rule) Chapter 3 Differentiation Rules 3.1 Derivatives of Polynomials and Exponential Functions Aka The Short Cuts! Yay! f(x) = c f (x) = 0 g(x) = x g (x) = 1 h(x) = x n h (x) = n x n-1 (The Power Rule) k(x)

More information

A., L- _2. Jill MICROCOPY RESOLUTION TEST CHART NATIONAL BUREAU OF STANDARDS-1963-A ... '1

A., L- _2. Jill MICROCOPY RESOLUTION TEST CHART NATIONAL BUREAU OF STANDARDS-1963-A ... '1 AD-Ai45 Ili ON THE CALCULATING MODELS OF PERMANENT MAGNETS(U) i' FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OH S YUSHI 26 JUL 84 FTD-ID(RS)T-07i8-84 N UNCLASSIFIED F/G 12/1i N 'on'shhhhh ....... '1 A.,

More information

-., ~ ' ~- - : :Y' -- 2 X- ;Z 7 :.

-., ~ ' ~- - : :Y' -- 2 X- ;Z 7 :. -., ~ -- -................. - -.-- -' ~- - : :Y' -- 2 X- ;Z 7 :. AD-753 487 COMPOSITION FOR THE IMPREGNATION OF WOOD V. T. Lebedev, et al Foreign Technology Division Wright-Patterson Air Force Base, Ohio

More information

INFINITY AIMING REFERENCE COLLIMATOR

INFINITY AIMING REFERENCE COLLIMATOR INFINITY AIMING REFERENCE COLLIMATOR "Aiming point, aiming post, deflection 2800, refer." No longer will this catch phrase signal the beginning of the number 5 cannoneer's 100-pace relay dash with two

More information

IIEEEEEEEEEEE. I HEELj

IIEEEEEEEEEEE. I HEELj A0A098 9I FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AF8 OH F/G 20/7 CALCULATION AND STUDY OF THE CORE AND INDUCTOR CHARACTERISTICS --ETC(U) JAN 81 P V BUKAYEV, A I ANATSKIY UNCLASSIFIED FTD-ID(RS)T-T59-80

More information

fla'

fla' -Mt43 914 T-NOTOR TESTS WITH CYLINDRICAL ORRXNS(U FOuEIhh In TECHNOLOGY DIV HRIOHT-PRTTERSON MY OH K YEN IS JUL. 64 FT-IDCRtS)T-S779-9 UNCLRSSIFXED Ft'S 21/. 2 N EEEmiEEEEEmi * -.. *..- -- *. ~ - -*.,.-..

More information

National Technical'Information Service DISTRIBUTED BY: U. S. DEPARTMENT OF COMMERCE 5285 Port Royal Road, Springfield Va :!

National Technical'Information Service DISTRIBUTED BY: U. S. DEPARTMENT OF COMMERCE 5285 Port Royal Road, Springfield Va :! AD-766 000 REFINEMENT OF THE WILLIAMS-LANDEL- FERRY EQUATION D. S. Sanditov, et al Foreign Technology Division Wright-Patterson Air Force Base, Ohio 6 August 1973 q) DISTRIBUTED BY: National Technical'Information

More information

m(x) = f(x) + g(x) m (x) = f (x) + g (x) (The Sum Rule) n(x) = f(x) g(x) n (x) = f (x) g (x) (The Difference Rule) thing CFAIHIHD fkthf.

m(x) = f(x) + g(x) m (x) = f (x) + g (x) (The Sum Rule) n(x) = f(x) g(x) n (x) = f (x) g (x) (The Difference Rule) thing CFAIHIHD fkthf. . Chapter 3 Differentiation Rules 3.1 Derivatives of Polynomials and Exponential Functions Aka The Short Cuts! Yay! f(x) c f (x) 0 g(x) x g (x) 1 h(x) x n h (x) n x n-1 (The Power Rule) k(x) c f(x) k (x)

More information

Hyperbolics. Scott Morgan. Further Mathematics Support Programme - WJEC A-Level Further Mathematics 31st March scott3142.

Hyperbolics. Scott Morgan. Further Mathematics Support Programme - WJEC A-Level Further Mathematics 31st March scott3142. Hyperbolics Scott Morgan Further Mathematics Support Programme - WJEC A-Level Further Mathematics 3st March 208 scott342.com @Scott342 Topics Hyperbolic Identities Calculus with Hyperbolics - Differentiation

More information

5.2 Proving Trigonometric Identities

5.2 Proving Trigonometric Identities SECTION 5. Proving Trigonometric Identities 43 What you ll learn about A Proof Strategy Proving Identities Disproving Non-Identities Identities in Calculus... and why Proving identities gives you excellent

More information

Using the Definitions of the Trigonometric Functions

Using the Definitions of the Trigonometric Functions 1.4 Using the Definitions of the Trigonometric Functions Reciprocal Identities Signs and Ranges of Function Values Pythagorean Identities Quotient Identities February 1, 2013 Mrs. Poland Objectives Objective

More information

pmudb FOREIGN TECHNOLOGY DIVISION Approvdforpubli relase FTD-MT? THE VISCOSITY OF ISOBUTANE AT HIGH PRESSURES 2 - by

pmudb FOREIGN TECHNOLOGY DIVISION Approvdforpubli relase FTD-MT? THE VISCOSITY OF ISOBUTANE AT HIGH PRESSURES 2 - by FTD-MT?214-1605-71 FOREIGN TECHNOLOGY DIVISION 144 THE VISCOSITY OF ISOBUTANE AT HIGH PRESSURES 2 - by N. A. Agayev and A. D. Yusibova Ii Approvdforpubli relase distribution unlimited. Ii pmudb secut C0agaificatI..

More information

PRELIM 2 REVIEW QUESTIONS Math 1910 Section 205/209

PRELIM 2 REVIEW QUESTIONS Math 1910 Section 205/209 PRELIM 2 REVIEW QUESTIONS Math 9 Section 25/29 () Calculate the following integrals. (a) (b) x 2 dx SOLUTION: This is just the area under a semicircle of radius, so π/2. sin 2 (x) cos (x) dx SOLUTION:

More information

JUST THE MATHS UNIT NUMBER INTEGRATION 1 (Elementary indefinite integrals) A.J.Hobson

JUST THE MATHS UNIT NUMBER INTEGRATION 1 (Elementary indefinite integrals) A.J.Hobson JUST THE MATHS UNIT NUMBER 2. INTEGRATION (Elementary indefinite integrals) by A.J.Hobson 2.. The definition of an integral 2..2 Elementary techniques of integration 2..3 Exercises 2..4 Answers to exercises

More information

JUST THE MATHS UNIT NUMBER DIFFERENTIATION 4 (Products and quotients) & (Logarithmic differentiation) A.J.Hobson

JUST THE MATHS UNIT NUMBER DIFFERENTIATION 4 (Products and quotients) & (Logarithmic differentiation) A.J.Hobson JUST THE MATHS UNIT NUMBER 104 DIFFERENTIATION 4 (Products and quotients) & (Logarithmic differentiation) by AJHobson 1041 Products 1042 Quotients 1043 Logarithmic differentiation 1044 Exercises 1045 Answers

More information

Math Test #2 Info and Review Exercises

Math Test #2 Info and Review Exercises Math 180 - Test #2 Info an Review Exercises Spring 2019, Prof. Beyler Test Info Date: Will cover packets #7 through #16. You ll have the entire class to finish the test. This will be a 2-part test. Part

More information

CALCULUS Exercise Set 2 Integration

CALCULUS Exercise Set 2 Integration CALCULUS Exercise Set Integration 1 Basic Indefinite Integrals 1. R = C. R x n = xn+1 n+1 + C n 6= 1 3. R 1 =ln x + C x 4. R sin x= cos x + C 5. R cos x=sinx + C 6. cos x =tanx + C 7. sin x = cot x + C

More information

6.2. The Hyperbolic Functions. Introduction. Prerequisites. Learning Outcomes

6.2. The Hyperbolic Functions. Introduction. Prerequisites. Learning Outcomes The Hyperbolic Functions 6. Introduction The hyperbolic functions cosh x, sinh x, tanh x etc are certain combinations of the exponential functions e x and e x. The notation implies a close relationship

More information

ycra c FOREIGN TECHNOLOGY DIVISION 00« Approved for public release; Distribution unlimited. PTD-HT-23-^33-72

ycra c FOREIGN TECHNOLOGY DIVISION 00« Approved for public release; Distribution unlimited. PTD-HT-23-^33-72 .1 00«PTD-HT-23-^33-72 CO FOREIGN TECHNOLOGY DIVISION Q METHOD OP PREPARING HETERO-ORGANIC PHOSPHONITRILE POLYMERS by S. M. Zhlbukhln, V. V. Klreyev, et al. ycra c ^< AUG 31 1972 ji Jill D. Approved for

More information

ENGI 3425 Review of Calculus Page then

ENGI 3425 Review of Calculus Page then ENGI 345 Review of Calculus Page 1.01 1. Review of Calculus We begin this course with a refresher on ifferentiation an integration from MATH 1000 an MATH 1001. 1.1 Reminer of some Derivatives (review from

More information

In this note we will evaluate the limits of some indeterminate forms using L Hôpital s Rule. Indeterminate Forms and 0 0. f(x)

In this note we will evaluate the limits of some indeterminate forms using L Hôpital s Rule. Indeterminate Forms and 0 0. f(x) L Hôpital s Rule In this note we will evaluate the its of some indeterminate forms using L Hôpital s Rule. Indeterminate Forms and 0 0 f() Suppose a f() = 0 and a g() = 0. Then a g() the indeterminate

More information

Test 2 - Answer Key Version A

Test 2 - Answer Key Version A MATH 8 Student s Printed Name: Instructor: CUID: Section: Fall 27 8., 8.2,. -.4 Instructions: You are not permitted to use a calculator on any portion of this test. You are not allowed to use any textbook,

More information

Exercise Set 6.2: Double-Angle and Half-Angle Formulas

Exercise Set 6.2: Double-Angle and Half-Angle Formulas Exercise Set : Double-Angle and Half-Angle Formulas Answer the following π 1 (a Evaluate sin π (b Evaluate π π (c Is sin = (d Graph f ( x = sin ( x and g ( x = sin ( x on the same set of axes (e Is sin

More information

Lesson 7.6 Exercises, pages

Lesson 7.6 Exercises, pages Lesson 7.6 Exercises, pages 658 665 A. Write each expression as a single trigonometric ratio. a) sin (u u) b) sin u sin u c) sin u sin u d) cos u cos u sin U cos U e) sin u sin u f) sin u sin u sin U 5.

More information

Without fully opening the exam, check that you have pages 1 through 12.

Without fully opening the exam, check that you have pages 1 through 12. MTH 33 Exam 2 April th, 208 Name: Section: Recitation Instructor: INSTRUCTIONS Fill in your name, etc. on this first page. Without fully opening the exam, check that you have pages through 2. Show all

More information

Grade 12 Pre-Calculus Mathematics Achievement Test. Booklet 1

Grade 12 Pre-Calculus Mathematics Achievement Test. Booklet 1 Grade 12 Pre-Calculus Mathematics Achievement Test Booklet 1 January 2013 Manitoba Education Cataloguing in Publication Data Grade 12 pre-calculus mathematics achievement test. Booklet 1. January 2013

More information

A YETI C FOREIGN TECHNOLOGY DIVISION OCT Approved for public release; Dis tribution unlimited. FTD-ID (RS)T

A YETI C FOREIGN TECHNOLOGY DIVISION OCT Approved for public release; Dis tribution unlimited. FTD-ID (RS)T FTD-ID (RS)T-0586-90 NJ FOREIGN TECHNOLOGY DIVISION FIELD EMISSION INITIATION MECHANISM OF VACUUM ARC by G.N. Fursey A YETI C OCT 19 90 Approved for public release; Dis tribution unlimited. FTD- ID(RS)T-0586-90

More information

MTH 133 Exam 2 November 16th, Without fully opening the exam, check that you have pages 1 through 12.

MTH 133 Exam 2 November 16th, Without fully opening the exam, check that you have pages 1 through 12. Name: Section: Recitation Instructor: INSTRUCTIONS Fill in your name, etc. on this first page. Without fully opening the exam, check that you have pages through 2. Show all your work on the standard response

More information

A Series Illustrating Innovative Forms of the Organization & Exposition of Mathematics by Walter Gottschalk

A Series Illustrating Innovative Forms of the Organization & Exposition of Mathematics by Walter Gottschalk The Inverse Function Tableau #2 of Gottschalk's Gestalts A Series Illustrating Innovative Forms of the Organization & Exposition of Mathematics by Walter Gottschalk Infinite Vistas Press PVD RI 2000 GG2-1

More information

MTH 133 Solutions to Exam 1 February 21, Without fully opening the exam, check that you have pages 1 through 11.

MTH 133 Solutions to Exam 1 February 21, Without fully opening the exam, check that you have pages 1 through 11. MTH Solutions to Eam February, 8 Name: Section: Recitation Instructor: INSTRUCTIONS Fill in your name, etc. on this first page. Without fully opening the eam, check that you have pages through. Show all

More information

MA 242 Review Exponential and Log Functions Notes for today s class can be found at

MA 242 Review Exponential and Log Functions Notes for today s class can be found at MA 242 Review Exponential and Log Functions Notes for today s class can be found at www.xecu.net/jacobs/index242.htm Example: If y = x n If y = x 2 then then dy dx = nxn 1 dy dx = 2x1 = 2x Power Function

More information

Trigonometry 1st Semester Review Packet (#2) C) 3 D) 2

Trigonometry 1st Semester Review Packet (#2) C) 3 D) 2 Trigonometry 1st Semester Review Packet (#) Name Find the exact value of the trigonometric function. Do not use a calculator. 1) sec A) B) D) ) tan - 5 A) -1 B) - 1 D) - Find the indicated trigonometric

More information

MTH 133 Exam 1 February 21, Without fully opening the exam, check that you have pages 1 through 11.

MTH 133 Exam 1 February 21, Without fully opening the exam, check that you have pages 1 through 11. Name: Section: Recitation Instructor: INSTRUCTIONS Fill in your name, etc. on this first page. Without fully opening the eam, check that you have pages through. Show all your work on the stanar response

More information

A-LEVEL Further Mathematics

A-LEVEL Further Mathematics A-LEVEL Further Mathematics F1 Mark scheme Specimen Version 1.1 Mark schemes are prepared by the Lead Assessment Writer and considered, together with the relevant questions, by a panel of subject teachers.

More information

New Exact Solutions to NLS Equation and Coupled NLS Equations

New Exact Solutions to NLS Equation and Coupled NLS Equations Commun. Theor. Phys. (Beijing, China 4 (2004 pp. 89 94 c International Academic Publishers Vol. 4, No. 2, February 5, 2004 New Exact Solutions to NLS Euation Coupled NLS Euations FU Zun-Tao, LIU Shi-Da,

More information

1 Functions and Inverses

1 Functions and Inverses October, 08 MAT86 Week Justin Ko Functions and Inverses Definition. A function f : D R is a rule that assigns each element in a set D to eactly one element f() in R. The set D is called the domain of f.

More information

L Hôpital s Rule was discovered by Bernoulli but written for the first time in a text by L Hôpital.

L Hôpital s Rule was discovered by Bernoulli but written for the first time in a text by L Hôpital. 7.5. Ineterminate Forms an L Hôpital s Rule L Hôpital s Rule was iscovere by Bernoulli but written for the first time in a text by L Hôpital. Ineterminate Forms 0/0 an / f(x) If f(x 0 ) = g(x 0 ) = 0,

More information

MTH 133 Solutions to Exam 2 April 19, Without fully opening the exam, check that you have pages 1 through 12.

MTH 133 Solutions to Exam 2 April 19, Without fully opening the exam, check that you have pages 1 through 12. MTH 33 Solutions to Exam 2 April 9, 207 Name: Section: Recitation Instructor: INSTRUCTIONS Fill in your name, etc. on this first page. Without fully opening the exam, check that you have pages through

More information

Test one Review Cal 2

Test one Review Cal 2 Name: Class: Date: ID: A Test one Review Cal 2 Short Answer. Write the following expression as a logarithm of a single quantity. lnx 2ln x 2 ˆ 6 2. Write the following expression as a logarithm of a single

More information

Lesson 7.3 Exercises, pages

Lesson 7.3 Exercises, pages Lesson 7. Exercises, pages 8 A. Write each expression in terms of a single trigonometric function. cos u a) b) sin u cos u cot U tan U P DO NOT COPY. 7. Reciprocal and Quotient Identities Solutions 7 c)

More information

Lecture Notes for Math 1000

Lecture Notes for Math 1000 Lecture Notes for Math 1000 Dr. Xiang-Sheng Wang Memorial University of Newfoundland Office: HH-2016, Phone: 864-4321 Office hours: 13:00-15:00 Wednesday, 12:00-13:00 Friday Email: xswang@mun.ca Course

More information

MTH 133 Solutions to Exam 1 October 10, Without fully opening the exam, check that you have pages 1 through 11.

MTH 133 Solutions to Exam 1 October 10, Without fully opening the exam, check that you have pages 1 through 11. MTH 33 Solutions to Eam October 0, 08 Name: Section: Recitation Instructor: INSTRUCTIONS Fill in your name, etc. on this first page. Without fully opening the eam, check that you have pages through. Show

More information

We define hyperbolic functions cosech, sech and coth in a similar way to the definitions of trigonometric functions cosec, sec and cot respectively:

We define hyperbolic functions cosech, sech and coth in a similar way to the definitions of trigonometric functions cosec, sec and cot respectively: 3 Chapter 5 SECTION F Hyperbolic properties By the end of this section you will be able to: evaluate other hyperbolic functions show hyperbolic identities understand inverse hyperbolic functions F Other

More information

Integration Exercises - Part 3 (Sol'ns) (Hyperbolic Functions) (12 pages; 6/2/18) (The constant of integration has been omitted throughout.

Integration Exercises - Part 3 (Sol'ns) (Hyperbolic Functions) (12 pages; 6/2/18) (The constant of integration has been omitted throughout. Integration Eercises - Part (Sol'ns) (Hyperbolic Functions) ( pages; 6//8) (The constant of integration has been omitted throughout.) () cosech Given that d tanh = sech, we could investigate d coth = d

More information

6.1 Reciprocal, Quotient, and Pythagorean Identities.notebook. Chapter 6: Trigonometric Identities

6.1 Reciprocal, Quotient, and Pythagorean Identities.notebook. Chapter 6: Trigonometric Identities Chapter 6: Trigonometric Identities 1 Chapter 6 Complete the following table: 6.1 Reciprocal, Quotient, and Pythagorean Identities Pages 290 298 6.3 Proving Identities Pages 309 315 Measure of

More information

Throughout this module we use x to denote the positive square root of x; for example, 4 = 2.

Throughout this module we use x to denote the positive square root of x; for example, 4 = 2. Throughout this module we use x to denote the positive square root of x; for example, 4 = 2. You may often see (although not in FLAP) the notation sin 1 used in place of arcsin. sinh and cosh are pronounced

More information

Trigonometry 1 Review for the District Final

Trigonometry 1 Review for the District Final Review for the District Final Directions: There are 4 multiple-choice questions (1-4). Do not write in this test booklet. Read each question carefully. Fill in the circle (A, B, C, or D) for the best answer

More information

10 Non-routine Problems To Sharpen Your Mathematical Thinking

10 Non-routine Problems To Sharpen Your Mathematical Thinking Have you thought about it differently? 0 Non-routine Problems To Sharpen Your Mathematical Thinking Wee Wen Shih PGDE (Credit), MSc (Research) Page Introduction This electronic book presents the second

More information

October 15 MATH 1113 sec. 51 Fall 2018

October 15 MATH 1113 sec. 51 Fall 2018 October 15 MATH 1113 sec. 51 Fall 2018 Section 5.5: Solving Exponential and Logarithmic Equations Base-Exponent Equality For any a > 0 with a 1, and for any real numbers x and y a x = a y if and only if

More information

Math 1A Midterm 2 Fall 2015 Riverside City College (Use this as a Review)

Math 1A Midterm 2 Fall 2015 Riverside City College (Use this as a Review) Name Date Miterm Score Overall Grae Math A Miterm 2 Fall 205 Riversie City College (Use this as a Review) Instructions: All work is to be shown, legible, simplifie an answers are to be boxe in the space

More information

D D C J2 FOREIGN TECHNOLOGY DIVISION 00. ihseitütslü APR PTD-MT-2'4-3i48-68 ON THE EQUATION OP RELATIVE WEIGHTS OF AN AIRCRAFT. N. A.

D D C J2 FOREIGN TECHNOLOGY DIVISION 00. ihseitütslü APR PTD-MT-2'4-3i48-68 ON THE EQUATION OP RELATIVE WEIGHTS OF AN AIRCRAFT. N. A. (- l.-. PTD-MT-2'4-3i48-68 00 J2 FOREIGN TECHNOLOGY DIVISION 00 «3 ON THE EQUATION OP RELATIVE WEIGHTS OF AN AIRCRAFT by N. A. Fomln ii D D C APR 8 1969 ihseitütslü 4 Rdproducod by l^o CLEARINGHOUSE (of

More information

Developing a Tactical-Level Geospatial Course for Army Engineers

Developing a Tactical-Level Geospatial Course for Army Engineers Developing a Tactical-Level Geospatial Course for Army Engineers Jared L. Ware Geospatial Information Science Program Department of Geography and Environmental Engineering United States Military Academy

More information

MATH : Calculus II (42809) SYLLABUS, Spring 2010 MW 4-5:50PM, JB- 138

MATH : Calculus II (42809) SYLLABUS, Spring 2010 MW 4-5:50PM, JB- 138 MATH -: Calculus II (489) SYLLABUS, Spring MW 4-5:5PM, JB- 38 John Sarli, JB-36 O ce Hours: MTW 3-4PM, and by appointment (99) 537-5374 jsarli@csusb.edu Text: Calculus of a Single Variable, Larson/Hostetler/Edwards

More information

B 2k. E 2k x 2k-p : collateral. 2k ( 2k-n -1)!

B 2k. E 2k x 2k-p : collateral. 2k ( 2k-n -1)! 13 Termwise Super Derivative In this chapter, for the function whose super derivatives are difficult to be expressed with easy formulas, we differentiate the series expansion of these functions non integer

More information

Test 2 Version B. On my honor, I have neither given nor received inappropriate or unauthorized information at any time before or during this test.

Test 2 Version B. On my honor, I have neither given nor received inappropriate or unauthorized information at any time before or during this test. Student s Printed Name: Instructor: CUID: Section: Instructions: You are not permitted to use a calculator on any portion of this test. You are not allowed to use any textbook, notes, cell phone, laptop,

More information