Gujarati Mathematical Vocabulary Gujarati Numbers • Vocabulary Compiled by Babu Suthar Lecturer in Gujarati University of Pennsylvania South Asia Regional Studies 820 William Halls 36th and Spruce Philadelphia PA 19143 USA 2 Gujarati Numbers Gujarati numerals are of three types: (1) cardinals, (2) ordinals, and (3) fractions. The basic number figures are ten and each figure bears a name. (1) Number figures and their names 0 È mI6u& 5 Í pa&c6o 1 É Aek6o 6 Î 2g6o 2 Ê bg6o 7 Ï sat6o 3 Ë tg6o 8 Ð Aa56o 4 Ì cog6o 9 Ñ nv6o Cardinals 1 É Aek 13 ÉË ter 2 Ê be 14 ÉÌ cOd 3 Ë {a8 15 ÉÍ p&dr 4 Ì car 16 ÉÎ soX 5 Í pa&c 17 ÉÏ s]ar 6 Î 2 18 ÉÐ A7ar 7 Ï sat 19 ÉÑ Aog8Is 8 Ð Aa5 20 ÊÈ vIs 9 Ñ nv 21 ÊÉ AekvIs 10 ÉÈ ds 22 ÊÊ bavIs 11 ÉÉ Aigyar 23 ÊË tevIs 12 ÉÉ bar 24 ÊÌ covIs 3 25 ÊÍ pCcIs 52 ÍÊ bavn 26 ÊÎ 2vIs 53 ÍË tepn 27 ÊÏ s]aavIs 54 ÍÌ copn 28 ÊÐ A¹avIs 55 ÍÍ p&cavn 29 ÊÑ Aog8{aIs 56 ÍÎ 2Ppn 30 ËÈ {aIs 57 ÍÏ s]aavn 31 ËÉ Aek{aIs 58 ÍÐ A¹avn 32 ËÊ b{aIs 59 ÍÑ Aog8sa;5 33 ËË te{aIs 60 ÎÈ sa;5 34 ËÌ co{aIs 61 ÎÉ Aeks5 35 ËÍ pa&{aIs 62 ÎÊ bas5 36 ËÎ 2{aIs 63 ÎË tes5 37 ËÏ sa6{aIs 64 ÎÌ cos5 38 ËÐ Aa6{aIs 65 ÎÍ pa&s5 39 ËÑ Aog8calIs 66 ÎÎ 2as5 40 ÌÈ calIs 67 ÎÏ s6s5 41 ÌÉ AektalIs 68 ÎÐ A6s5 42 ÌÊ betalIs 69 ÎÑ Ag8ois]aer 43 ÌË tetalIs 70 ÏÈ is]aer 44 ÌÌ cu&malIs 71 ÏÉ ;kotr 45 ÌÍ ipStalIs 72 ÏÊ boter 46 ÌÎ 2etalIs 73 ÏË toter 47 ÌÏ su6talIs 76 ÏÎ 2oter 51 ÍÉ Aekavn 77 ÏÏ isTyotr 52 ÍÊ bavn 78 ÏÐ ;5yotr 51 ÍÉ Aekavn 79 ÏÑ Ag*yaAe&sI 4 80 ÐÈ Ae&sI 90 ÑÈ nevu& 81 ÐÉ AekyasI 91 ÑÉ Aeka8u& 82 ÐÊ ByasI 92 ÑÊ ba8u& 83 ÐË TyasI 93 ÑË ta8u& 84 ÐÌ coyaRsI 94 ÑÌ cora8u& 85 ÐÍ p&casI 95 ÑÍ p&ca8u& 86 ÐÎ 2yasI 96 ÑÎ 2Nn&u 87 ÐÏ isTyasI 97 ÑÏ s]aa8u& 88 ÐÐ ;5yasI 98 ÑÐ A¹a8u& 89 ÐÑ neVyasI 99 ÑÑ nVva8u& A hundred and higher figures are as under: 100 ÉÈÈ so, Aekso 200 ÊÈÈ bso 300 ËÈÈ {a8so 400 ÌÈÈ carso 500 ÍÈÈ pa&cso 600 ÎÈÈ 2so 700 ÏÈÈ satso 800 ÐÈÈ Aa5so 900 ÑÈÈ nvso 1,000 É,ÈÈÈ hjar, Aek hjar 10,000 ÉÈ,ÈÈÈ ds hjar 100,000 ÉÈÈ,ÈÈÈ la`, Aek la` 5 1,000,000 É,ÈÈÈ,ÈÈÈ ds la` 10,000,000 ÉÈ,ÈÈÈ,ÈÈÈ kro6 100,000,000 ÉÈÈ,ÈÈÈ,ÈÈÈ ds kro6 1,000,000,000 É,ÈÈÈ,ÈÈÈ,ÈÈÈ Abj 10,000,000,000 ÉÈ,ÈÈÈ,ÈÈÈ,ÈÈÈ ds Abj Note: There is no concept of ‘million’ in Gujarati While reading a number of more than two digits, no ‘and’ is required as in English. Examples: ÊÎÑ bso Ag8ois]aer Ë,ÎÐÏ {a8 jhar 2so isTyasI Í,ÉÐ,ÑÈÍ pa&c la`, A7ar hjar, nvso pa&c However, while doing counting the conjunction ne may be used while reading the last two digits. If the penultimate digit is 0 (zero) the ne may be used with the last digit. Examples: ÊÎÑ bsone Ag8ois]aer Ë,ÎÐÏ {a8 jhar 2sone isTyasI Í,ÉÐ,ÑÈÍ pa&c la`, A7ar hjar, nvsone pa&c Ordinals The ordinals behave like adjectives and agree with the nouns in gender. English Ordinals Masculine Feminine Neuter 6 phelo phelI phelu& Élo ÉlI Élu& Second bIjo bI@ bIju& 2nd Êjo Ê@ Êju& Third {aIjo {aI@ {aIju& 3rd Ëjo Ë@ Ëju& Fourth co9o co9I co9u& 4th Ì9o Ì9I Ì9u& Fifth pa&cmo pa&cmI pa&cmu& Ímo ÍmI Ímu& Sixth 2¹o 2¹I 2¹u& 6th ιo ιI ιu& Seventh satmo satmI satmu& Ïmo ÏmI Ïmu& First 5 7 th th For each of the higher ordinal use mo, mI, mu& as the case may be. Fractions Following are the terms for Gujarati fractions: Simple ¼ pa ½ A60u& 7 ¾ po8u& Plus Examples Plus ¼ sva 1¼ sva Aek Plus ½ sa6a 3½ sa6a {a8 Plus ¾ po8u& 2¾ po8a {a8 Notes: (1) The A60u& And po8u& agree with the noun in gender and number. Examples: A60o kagX ‘half paper’ A60a kagX ‘half of the papers’ A60I kerI ‘half mango’ A60I kerIAo ‘half of the mangos A60u& keXu& ‘half banana’ A60a& keXa& ‘half of the bananas’ (2) For 1 ½ and 2 ½ always use A7I and do7 respectively. 8 Vocabulary* * Derived with a few modifications from "wCcgi8tnI pir-aqa" 1966. (Terminology of higher mathematics), Publisher: Gujarat University, Ahmedabad, India. 9 A alternately AekaNtre absolute inrpex alternating function p/its&imt iv0ey absolute term Aclpd alternating series p/its&imt [ae7I absolute value inrpex mULy analysis absurd As&gt p<(9kr8, ive¿leq8 accuracy coksa: analytical geometry vE¿leiqk -Uimit acute angle l3uko8 angle `U8o acute angled triangle l3ui{ako8 angle at the center keN±S9 `U8o additon srvaXo, v]aakar angle at the circumferemce capS9 ko8 adjacent angle s&lGn ko8 angle of contact Sp=R`U8o adjacent sides s&lGn bajuAo angle of depression Avse0 admissible solution SvIkayR wkel angle of elevation wTse0 admissible value SvIkayR ik&mt angular ko8Iy aggregate smUh, g8 angular diagram v<ta&= Aak<it algebra bIjgi8t angular measurement ve0 algebric expression bIj rai= angular momentum ko8Iy vegman algebric geometry yam-Uimit angular velocity ko8Iy veg algebric bEijk anti-logarithm p/itl3ug8k AekaNtr applied mathematics p/yo@t gi8t alternate AekaNtr p/ma8 applied statistics alternaternado p/yo@t Aa&k6a=aS{a 10 approximately Aa=re, lg-g a priori pUvRSvIk<t, g<hIt apse apse line arc area areal areal co-ordinate arithmetic average average srera=, m)yk, srasrI axis Ax axiom SvtŠis)0 sTy axis of co-ordinate Axo, yamaxo axis of reference Aa0ar Axo axis of perspective ±Q5 yx axis of X = X re`a, -Ujax axis of Y=Y re`a, ko4\yx nIcoCc ib&du nIcoCc re`a cap xe{afX xe{aIy xe{aIy yam sma&tr srera= B arithmetic mean sma&tr m)yk backward formula p<Q5sU{a arithmetic progression sma&tr [ae8I bar-diagram St&-ak<it arithmetic series sma&tr [ae7I base Aa0ar, payo arithmetic geometric series sma&tr gu8o]ar [ae7I base of support Aa0arpI5 basic Aa0ar-Ut, mUX-Ut arms (of angle) -Uja, re`a ascending c7to k/m bell-shaped diagram 3&4ak<it association s&b&0 bimodal iµbhulk associate law smUhno inym binode iµtl pat assumption SvIk<it binominal iµpdI assymetrical ivqm, ivs&imt bipole 0/uvyuGm at random y±C2 biquadratic iµvgR 11 Vyvsay ivqyk Aa&k6a=aS{a business statistics C cantesinal central central moments characteristic (of log) v<]aak<it circular function v<]aIy iv0ey circular measure v<]aIy man circular line (at a point) v<]are`a circular points v<]aib&duAo circular at infinity An&te v<]aib&duAo circular test ck/Iy pirx8 circulating decimals Aav<]a d=a&= circumcenter pirkeN± circumference piri0, pir3 circumpolar pir0/uvIy circum-radius piri{ajya circumscribed circle pirv<]a circumscribing pirgt class vgR class magnitude vgRman classification vgIRkr8 bje4, A&dajp{a budget cardinal circular diagram phoXa: breadth capacity ck/Iy inyamko =a`a branch canonical variation circular determinants kO&s bracket cancel vtUXakar, v<]aIy pirre`a bounding line calculus circular iµcl bivariate calculation vtuRX, v<]a iµ-ajk bisector calculating machine circle g8trIy&{a g8trI kln gi8t w6a6I devu& iviht cln xmta g8naTmk =ta&=k keN±Iy keiN±y p/3at pU8aR&k 12 co-effecient colliner collinearity column combination common common multiple common system (of Log) commutative law A&k, gu8k, shgu8k cone =&ku conical point =&kupat conical projection =&kup/xep conicoids =&kuj conjugate Anub&0 conoid =&kva-as conormal points smi-l&b ib&duAo consecutive k/imk consequent w]arpd consistency s&gtta constant Acl constituent 34k smre` smre`ta kolm, St&s&cy samaNy samaNy AvyvI samaNy d=a0ar k/mno inym comparision test tulna pirx8 complete differential pU8R ivkl complete the squares pU8R vgR krvo component equations 34k smIkr8 components 34ko composite im[a composite hypothesis s&yukt pirkLpna composite number -ajy pU8aR&k compound s&yukt computation computer Ai-g8na Ai-g8k construction of index numbers contavarient Aa&krcna p/itcl covective equilibrium s&vahI s&iS9it converse Wl4u&, p/it co-ordinate yam co-ordination smNvy coplaner correlation smtlIy shs&b&0 corollary wpp/mey 13 corresponding Anu£p camulants yog3at corresponding angle Anuko8 cumulative s&cyI co-terminal angles smsIm `U8a curve vk/re`a, vk/ couple blyuGm, yuGm curve fitting vk/ ANvayojn covariance shivcr8 curve surface vk/tl covarient shcl curve tracing vk/ale`n cross-multiplication SviStkgu8n ityRk gu8n curve in space i{aimt vk/ curvilinear vk/Iy re`avilnu& ityRk p/ma8 cusp ini=t cube 3n, sm3n cuspidal locus ini=t ib&dup9 cube root 3nmUX, t<tIymUl cut 2edvu& cubic contravariant i{a3at p/itcl cycle ck/ cubic co-variant i{a3at shcl cyclic ck/Iy cubic curve i{a3atI vk/ cycle of quotients (continued fraction) cubic equation 3naTmk smIkr8 i{a3at smIkr8 cycle of substitution Aade=ck/ cyclic order ck/Iy k/m cross-ration of pencil cubic expression i{a3at pdavil i{a3at smIkr8 cubic measure 3nfX, 3nman cubic surd 3nIkr8 cuboid l&b3n -agflonu& ck/ cyclic part (continued fraction) cyclic quadrilateral Aav<]a `&6 v<]aIy ctuQko8 cylinder nXakar 14 w6a6I devu& D damped Avm&idt damping factor Avm&dn Avyv dash 6e= data Aa&k6a, maihtI decagon d=ko8 decimal demand curve magvk/ denominator 2ed denote d=aRvvu& derivative ivklnfl ivkilt d=a&= derivative of an arc capnu& ivkln decimal fraction d=a&= ApU8aR&k derived function ingimt iv0ey deciles d=a&=k descending wtrtu& decreasing 34tu& descending node AvrohI pat deduce ingmn krvu& descriptive statistics deduction ingmn v8RnaTmk Aa&k6a=aS{a determinant in¾ayk deviation ivcln diagonal ivk8R diagonal points ivk8R ib&duAo diagonal triangle ivk8R i{ako8 diagram Aak<it diameter Vyas diametral plane keN±tl difference equation A&trsmIkr8 definite definite integral definition degree suini¾t inyt s&kl Vya~ya A&= degree ma{aa degree of curve vk/no 3ata&k degree of an expression of an equation degree of freedom pirma8 Svat&{yma{aa delete dUr krvu& 15 A&trkoQ4k difference table divisor -ajk domain xe{a double bm8u&, iµgui8t double contact iµSp=R double integral iµs&kl double line iµkre`a double point iµib&du double root iµkbIj double sampling iµind=Rn double star yuGmtark ivklnIy differentiable ivkLyta differentiability ivkl differential ivklnivd\ya differential calculus ivklngu8 differential coefficien ivkl smIkr8 differential equation capno ivkl differential of an arc ivkln differentiation differentiation under the integral sign s&kl ich\nma& ivkln digit Aa&k6o double tabulation iµiv0 koQ4k dihendral angle iµtlko8 doublet vIjyuGm dimension pirma8 doubly infinite (system of curves) distribution iv-ajn, ivtr8 equal distributed ivxoi-t equal in all respect iµAn&t brabr, sr`u&, sman svaR&gsm, Aek£p dividend -ajy aequality saMy, smanta dividendo ivyogp/ma8 equate smIkvu& divisibility inŠ=eq -ajyta equation smIkr8 division -agakar equations involving reciprocals of unknowns division transformation -agakr ivi0 VyitkraTmk smIkr8 16 equations involving reciprocals of center wTkeN±s&Skar equations involving reciprocals of motion gitsmIkr8 equations involving reciprocals of three moments i{a-ajk smIkr8 equations involving reciprocals of trigonometrical i{ako8mItIy smIkr8 equiangular smko8 equiangular spiral smko8avtR equiconjugate diameter smanub)0 keN±re`a equi-cross smityRk\ equidistant sr`e A&tre equivalent smxe{a equivalent smpirma8I equivalent sman equivalent equations smbIj equivalent equation pyaRiyk smIkr8 equivalent system sms&iht error {au4I escribed circle bihv<t estimate Anuman krvu& estimate Aag8n krvu& estimate AnUman, Aag8k estimated Anuimit Euler's exponential values Ao:lrnu& 3ata&kIy mULy even bekI even function smiv0ey example da`lo, wdahr8 ex-center bihQkeN± expend ivStr8 krvu& expansion ivStr8 expected frequency Apeixt Aav<i]a expected value Apeixt mULy explicit SpQ4 exponent 3ata&k exponential 3ata&kIy exponential value express 3ata&kIy £p d=aRvvu& expression pdavil, rai= ex-radious bihr\i{ajya F 17 factor Avyv focus nai- factorial k/mgui8t foot of the perpendicular l&bpad factorial design k/mgui8t rcna foot of poundal fU4 pawN6l factorization Avyv p<(9kr8 force diagram bX Aale` factor reversal test pdivpyaRs prIx8 form £p, Sv£p formula sU{a forward formula Ag/ sU{a four-part formula ctu3R4k sU{a forth power ctu3aRt forth proportional ctu9R p/ma8pd forth root ctu9R mUX fraction ApU8aR&k iS9r, inyt, ini¾t fractional (adj.) ApU8aR&k fixed line iS9r re`a fractional equation ApU8aR&kvaXu& smIkr8 flat surface smtl frequency AavtRn s&~ya iv0ey fl mUX-Ut factor theorem figure finite finite discontinuity finite series five parts-formula fixed focal distance Avyv p/mey Aak<it pirimt, sIimt pirimt AsatTy pirimt [ae8I p&c34k sU{a nai-A&tr focal ellipse nai-j wpvly function fundamental focal hyperbola nai-j Aitvly fundamental operation mUX-Ut ik/yaAo focal perabola nai-j prvly fundamental plane mUXtl focal redius nai-i{ajya G 18 geometric average geometric mean general smgu8o]ar srera= grouping of data Aa&knu& vgIRkr8 maihtInu& vgIRkr8 growth rate v<i)0dr smgu8o]ar Vyapk H generally samaNy rIte harmonic (Algebra) hraTmk generate sjRvu& harmonic dynamics s&vadI, p/sv& adI generating function sjRk iv0ey harmonic series Svirt [ae8I generator sjRkre`a harmonic system Svirt g8, SvrIt VyvS9a geometry -Uimit geometric mean smgu8o]ar [ae8I geometric series smgu8o]ar [ae7I grade g/e6 graded data k/mb)0 Aa&k6a k/mb)0 maihtI H.C.F. (Higest Common Factor) height gu.sa.A.(guru]am sa0ar8 Avyv) w&ca: heptagon sPtko8 heterogeneous ivqma&g, ivqm pirma8 hexagon q4\ko8 higest term wCc pd histogram St&-ale` historiogram samiyk Aale` Graco-Latin square g/IkoÝle4In cors graph Aale` graph paper Aale`np{a graphical statics Aale`Iy iS9itiv}aan hedograph vegale` great circle guruv<]a homogeneous sma&g smpirma8 homograph vk/tale` G.C.M (greatest Common Measure) gu.sa.A (guru]am sa0ar8 Avyv) group indices smUh Aa&k 19 homographic smÝityRk imaginary part kaLpink A&= homothetic sm£p Ane smiS9t impact s&3at impedance Avba0 implicit gi-Rt improper Anuict improper fraction Anuict ApU8aR&k improper integral Anuict s&kl incenter A&tŠkeN± inclination nitko8 ivtr8 inclined plane nttl hypergeometric series Aitgu8o]ar [ae7I included angle A&tgRt ko8 A&tgRt `U8o hypotenuse k8R incommensurable As&mey incommensurability As&meyta incomplete ApU8R sm£pta keN± homothetic center smixitj horizontal smixitj re`a horizontal line xEitj l&bn horizontal parallax smixitj tl horizontal plane smixitj A&tr horizontal range hypergeometric distribution Aitgu8o]ar pirkiLpt hypothetical kiLpta9R, px ahypothesis I ideal index number Aad=R A&k inconsistent (equations) As&gt identical svaR&gsm, inTysm increase v0aro incrementary ration wpcy p/ma8 in defect ¢8 indefinite Aini¾t, Ainyt Ainyt s&kln identity imaginarily homothetic imaginary inTysmta kLPnaiS9t sm£p kaLpink indefinite integral 20 independent indetermination index index number indicatrix indirect indirect correlation indirect inquiry indirect diagram ingress p/ve= intial Aad\y initial line Aad\yre`a in perspective sm±Q4 iradius A&tŠiS{ajy inscribed circle A&tv<t insertion inve=n integer pU8aR&k integral s&kilt, s&kl inrpex Aini¾tta 3ata&k 3ata&k n&br vk/indeR= prox VySt shs&b&0 prox tpas indeR=k Aale` integral as the limit of a sum [ae7Ina lx£pe s&kln inductive inference Aagimk Anuman induction method Aagmnp)0it integral calculus s&klnivd\ya inequality AsmIkr8 integral curve s&kilt vk/ inference Anuman integral expression pU8aR&k pdavil inferior conjunction inferior number Aa&tryuit nIc s&~ya integral part integral solution pU8aR&= pU8aR&k bIj infinite An&t integrand s&kLy infinitesimal =UNyai-cl integrate s&kln krvu& infinitely great An&t integrating factor infinitely small ATyLp s&kLykark Avyv An&tI integration s&kln infinity integration, approximate S9UX s&kln 21 integration in series [ae7I£p s&kln inverse (circle) p/tIp interior angle A&tŠko8 inverse circular function v<]aIy p/itiv0ey interior opposite angle A&tŠs&mu`ko8 inverse curves p/tIp vk/o interminable division An&t -agakr inverse function p/itiv0ey in terms of arch capIy, cayp/clI ainverse hyperbolic functions AitvlyI internal A&tirt inverse line. etc. p/i{ajya vgere internal bisector A&tiµR-ajk inverse operations Wl4I ik/yaAo inverse ivprIt inverse operator p/itkark inverse interpolation ivpirt A&tveR=n inverse order Wl4o k/m inverse point p/tIp ib&du inverse probability ivprIt s&-avna inverse proportion VySt p/ma8 interpolation with equal intervals p/itiv0ey sma&tr A&tveR=n interpolation with unequal intervals interpretation Asma&tr A&tveR=n A9R34n interquartile range ctu9Rk A&tr inverse ration VySt gu8o]ar intersect 2edvu& inverse variation VySt cln intersect prthogonally l&b2ed 9vo l&b2ed krvo inversely similar p/itÝsm£p vgaR&t shs&b&0 inversion p/tIpn interclass correlation Svay]a invertendo VyStp/ma8 intrinsic in¾l investigation ANve=n ainvariable investigator ANveqk inverse VySt, WL4u& 22 involute p/itkeN±j law of Indices 3ata&kno inym involution 3atik/ya law of larage numbers mhas&~yaAono inym involution smuTk/m8 law of Statistical regularity Aa&k6aAonI inyimttaAono is)0a&t involution pencil smuTk/m8 re`avil involution range smuTk/m8 ib&dup&ikt leading term Ag/pd irrational As&mey leading constituent Ag/34k isogonal smnt leading diagonal Ag/ivk8R isolated point Aeka&kI ib&du least l3u]am isoperimetric smpirimitk least square Nyuntm vgR isosceles tetrahedron iµsm ctuQflk left hand vam isosceles triangle iµsm i{ako8 left hand side 6abI baju, pUvRpx lemma pUvRp/mey lemniscate iµpa=I length l&ba: level smtl, smixitj J jekoibyn Jacobians joint frequency distributions joint probability s&yuky Aav<i]a ivtr8 s&yukt s&-avna s&yukt cln joint variation K p/kar kind L Latin square le4In cors level of significance sa9RktanI kxa latus-rectum nai-l&b like (terms) sjatIy law of inverse square VySt vgRno inym likelyhood function ivs&-avna iv0ey 23 likelyhod ration test like parallel forces like (signs) limit limited limiting ivs&-avna gu8o]ar prIx8 sjatIy sma&tr bXo literal coeffecient v8Rgu8k locus ib&dup9 logarithm l3ug8k logarithmic series l3ug8kIy [ae8I logical tkRs&gt lower quartile p/9m ctu9Rk smich\n lx sImIt sImaNt M gurucap limiting points lxib&du major arc limiting value lx manifold classification bhuiv0 vgIRkr8 limitless inŠsIm manifold tabulation bhuiv0 koQ4krcna line re`a mantissa A&=k marginal sImavtIR mathematical analysis gi8tIy iv¿leq8 mathematical inducation gi8tIy Anuman matrix [aei8k maximum Ai0ktm maximum likelihood Ai0ktm s&-avna mean srera=, m)yk, m)ym mean anomaly m)ym ko8 line at infinity linear line integral line of centers line of curvature line of force line of greatest slope An&t re`a re`Iy, sure` re`as&kl keN±re`a vk/tare`a blre`a mh]am 7aXnI re`a line of regression inyt s&b&0 re`a literal equation v8R smIkr8 24 mean derivation srera= ivcln minimum value NyUntm mULy mean parallax m)yman S9an-ed minor wpin¾ayk mean proportional m)ym p/ma8pd minor arc l3ucap mean value m)ykman minus bad, Ao2a, ¢8 mean theoram m)ykmannu& p/mey mixed fraction im[a ApU8aR&k measure map, man monotonic AeksU{aI measure of association s&b&0man multinominal bhupdI measurement of angles ko8mapn ko8map multinominal distribution bhupdI ivtr8 multinominal expression bhupdI pdavil multiple gui8t multiple angles gui8t `U8aAo multiple correlation bhuclIy shs&b&0 medial section m)ymey 2ed median m)yga method of detached coefficient metod of differences p<9k gu8a&konI rIt A&trivi0 method of divisors -ajkivi0 multiple integral bhus&kl method of expansion ivStr8ivi0 multiple point bhul ib&du method of substitution Aade=nI rIt multiple regression bhuclIy inyt s&b&0 multiple root bhugui8t bIj multiplicand gu*y method of undermined multipliers middle term Aini8Rt gu8konI rIt m)ypd mid-point m)yib&du& multiplication gu8akar minimum NyUntm multiplication rule gu8akarno inym 25 multiplier gu8k norm of angles ko8ad=R multivariate bhucl norm of sides -ujad=R multiple analysis bhucl p<(9kr8 notation multivariate distribution bhucl ivtr8 p/tIkVyvS9a, s&ketn prSpr, parSpirk nucleus nai- mutual null hypothesis inrakr8Iy pikLpna null line =UNy -/amk re`a null plane =UNy -/amk tl null point null sequence =UNy -/amk ib&du =UNy [ae8I number s&~ya number scale s&~yale` numerator A&= N nadir p/itm)y natural logarithm p/ak<itk l3ug8k samaNy l3ug8k natural number negative samaNy s&~ya ¢8, ¢8aTmk, Ao2a negative association ¢8aTmk s&b&0 negative correlation ¢8aTmk shs&b0 normal p/ma*y, samaNy numerical s&~yaTmk normal curve p/ma*y ivtr8 numerical coefficient A&kgu8k normal distribution p/ma*y ivtr8 numerical factor A&kavyv normal equations p/ma*y smIkr8o numerically sadI s&~yanI rIte normal plane Aivl&b tl normal regression p/ma*y inyt s&b&0 normal section l&b2ed O oblique {aa&sI, ityRk observed frequency Avlokn Aav<i]a observer Avloknkar 26 obtuse angle obtuse angled triangle octagon octahedron odd order of figurate numbers s£p s&~ya [ae8I order of powers 3atk/m order of surds kr8I3at ordinal k/maTmk ordinal numbers k/maTmk s&~yaAo guruko8 gurui{ako8 AQ4ko8 AQ4flk AekI s&~ya, Asm ordinary (differential equations) odd functions ogive curve ordinate samaNy koi4 origin ortho-center Wgmib&du, Wgm l&bkeN± orthocentric tetrahedron l&bctuQflk Asm iv0ey s&ymI Aav<i]a vk/ open (curve) l&bC2edkta, l&b]v. ivv<]a open (interval) ivv<]a orthogonal l&b2edI operational factor ik/yasUck Avyv orthogonal involution l&bko8Iy smuTk/m8 operator kark orthogonal pencil l&bko8Iy re`avlI orthogonality opposite Wl4u& opposite angle s&mu` ko8 orthogonal polynomial l&b2edI bhupdI opposite edges s&mu` 0ar orthogonal projection l&bp/xep opposite sides samsamI bajuAo, s&m` u bajuAo orthogonal trajectory l&b2edI vk/ orthogonal transformation l&b2edI pirvtRn opposition p/ityuit order k/m order of differentials equations kxa, k/m P pair jo6, yuGm pair of straight line re`ayuGm 27 partisan ivyojn partial association Aa&i=k s&b&0 partisan of numbers pU8aR&konu& ivyojn partial correlation Aa&i=k shs&b&0 parent population mUX smiQ4 partial differential equiation Aa&i=k ivkl smIkr8 parabola prvly parabolic prvlyI parabolic point prvlyib&du parabloid prvlyj parallactic angle l&bnko8 parallactic ellipse l&bn wpvly parallax parallel parallel curves parallelopiped parallelogram partial differentiation AekclIy ivkln Aa&i=k ivkln partial fraction ApU8aR&k `&6, Aa&i=k `&6 partial product partial regression iv-agIy gu8akar Aa&i=k inyt s&b&0 particular ivi=Q4 particular integral ivi=Q4 s&kl particular values ivyojn mULyo partly A&=tŠ pedal equuation paidk smIkr8 pedal (Simpson) line paidk re`a l&bn, S9an-ed smaNtr smaNtr vk/o smaNtr flk smaNtr -Uj, smaNtr baju, ctuQko8 pedal triangles (Ortho-centric) smaNtr-Ujno inym pencil paidk i{ako8 re`avlI parameter p/cl pencil in involution smuTk/m8 re`avlI parametric p/clIy pentaggon p&cko8 part A&=, -ag, `&6, 34k pentahedron p&cflk per cent p/it =tk parallelogram law 28 percentage 4ka point equation ib&dusmIkr8 percentiles =ta&=k point estimation ib&duAag8n perfect cube pU8R 3n point of application p/yogib&du, kayRib&du perimeter pirimit point of bisection m)yib&du points of concurrence s&gmib&du points of contact points of intersection Sp=Rib&du 2ednib&du permutation permutation with repetition k/mcy AavtIR k/mcy permutation with restriction =rtI k/mcy perpendicular l&b points of suspension Avl&bn ib&du perpendicular bisector l&b iµ-ajk points of symmetry simitkeN± perpendicular line l&bre`a points of trisection i{a-agib&du perturbations ivxo- polygon bhuko8 plane smtl apolygonal numbers bhukoi8k s&~yaAo plane angle smtl ko8 polyhedron bhuflk polynominal bhupdI polynominal regression bhupidk inyt s&b&0 plane circuit plane of floation smtl sikR4 Plvntl plane of section smtlC2ed plumb line AoX&banI re`a position iS9it planimeters xe{amapk positive 0n, 0naTmk plot (the points) Aale`vu& positive correlation 0n shs&b&0 point ib&du power 0at 29 power function power series principle section p/C2ed principle solution p/bIj sam(yR iv0ey 3at [ae7I principle value of logarithm p/mULy power of a test prIx8 sam(yR prinicple of superimposition A)yaropno inym preceding pUvRgamI principle part p/0an A&=, mu~y A&= prediction p/ak\k9n prime (mutually) sapex Aiv-ajy prism ip/zm prime function Aiv-ajy pdavil probable s&-ivt probable error s&-ivt {au4I probability s&-avna problem smSya, kU4p/½ product gu8akar product formula gu8akarsU{a progression [ae8I projectile p/ixPt projective p/xepI projective geometry p/xep -Uimit projective property p/xep]v proof saibtI, isi)0 proper fraction wict ApU8aR&k property gu80mR prime meridian prime modulus prime number prime vertical primitive primitive root principle principle axes principle directions principle normal principle plane principle radius Aar&i-k yamo]ar mUl mana&k Aiv-ajy pU8aR&k pUvaRpr wd\v<]a pUvRg mU~y bIj inym, is)0aNt mu~y Axo p/id=a p/ai-l&b p/flk p/i{ajya 30 proporation p/ma8 proporational p/ma8 quadratic surd vgRkr8I, vgaRTmk kr8I quadrature xe{akln quadrilateral gu8aTmk Aa&k6a quantiles ivyojko quantitative data quantity manaTmk Aa&k6a rai= m)ym p/ma8pd proporational mean p/ma8sr propositionally p/mey, sa)y proposition aprotracter ko8mapk prove quantum index mana&k pure geometry saibt krvu&, is)0 krvu& =u)0 -Uimit quartic curve ctu4aRtI vk/ pure mathematics =u)0 gi8t quartile deviation ctu9Rk ivcln purposive sampling shetuk ind=Rn questionnaire p/½avil quotient -agakar O Q.E.D. :it is)0m\ quotient (continued fraction) -agfl C.E.F. :it k<tm R quadrangle ctuQko8, cors radian i{ajyako8 quadrantal triangle l&bi{a-Uj radical mUl quadratic vgaRTmk radical axis mUlax quadratic equlation vgaRTmk smIkr8, iµ3at smIkr8 radical center mUl keN± radical palne mUl tl quadratic expression vgaRTmk pdavil radical sign mUl ich\n quadratic function vgaRTmk fl, vgaRTmk iv0ey radicand Aa0ar 31 radius i{ajya ratio estimate p/ma8 Aag8k radius of convergence Ai-sar i{ajya ratio test gu8o]ar prIx8 radius of curvature vk/ta i{ajya ratio of equality smgu8o]ar radius of gyration -/m i{ajya ratio of greater inequality Ai0gu8o]ar radius of inversion p/tIpn i{ajya ratio of lesser inequality hIngu8o]ar radius of torsion kui4lta i{ajya ratio of variation cln p/ma8 radius of vector i{ajya sid^= rational s&mey radix A&kna&k rational integral function pU8R3atbhupdI radix fraction A&knp)0itma& ApU8aR&k rational integral function pU8aR&k pdavlI rational number s&mey s&~ya rationalize s&mey krvu& rationalization s&meyIkr8 rationalising factor s&meykark smuTk/m8 ib&dup&ikt real vaStivk range of projective points p/xepI ib&dup&ikt real number vaStivk s&~ya rank k/m real part vaStivk A&= rank correlation k/ma&k shs&b&0 reciprocal Vyitkr, VySt rate dr reciprocal determinant VySt in¾ayk ratio gu8o]ar, p/ma8 reciprocal equation VySt smIkr8 ration chart p/ma8 ic{a reciprocal figures p/ityog Aak<itAo random range range of convergence range of involution yd^C2k ib&dup&ikt Ai-sar myaRda 32 reciprocal relation p/ityog s&b&0 reminder theorem =eq p/mey reciprocal root VySt bIj represent reciprocal theorem p/ityog p/mey d=aRvvu&, in£p8 krvu&, s&ketn krvu& reciprocally proportional VySt p/ma8ma& representation s&ketna, in£p8 reciprocation VyStIkr8 representative sample p/itini0 ind=Rn rectangle l&bcors residual error Avi=Q4 doq rectangular array Aaytsr8I residues Av=eq, v¥I rectangular axis l&ba=o residues of powers of numbers rectangular distribution Aayat ivtr8 rectangular hyperbola rectification rectifying plane rectiliner figure rectiliner motion recurring decimal pU8aR&k3atav=eq resolve into factors Avyv p<(9kr8 respectively Anuk/me result pir8am resultant pir8amI reversed order Wl4o k/m reversibility ivpyaRsta rhomboid sm0ar, smaNtr flk l&baitvly capkln Sp=aRi-l&b tl sure` Aak<it sure` git Aav<]a d=a&= recurrence formula Aav<i]asU{a relativity of co-ordinates yamonI sapexta rhombus smctu-uRj relativity sapexta right angle ka4`U8o, l&bko8 reminder =eq right angled triangle l&bi{ako8 right circulation cone sm=&ku, =&ku reminder after n-terms pda&te =eq 33 smisilN6r, isilN6r right cylinder sampling of variables manaTmk ind=Rn scalar function Ai±= iv0ey scalar product Ai±= gu8akar scale of notation A&knp)0it scale of relation s&b&0sU{a scalene triangle ivqm i{ako8 scattered diagram ivkI8aRk<it, ivkI8R ic{a l&bip/zm right prism l&bC2ed right section mUl, mUX root bIj root of an equation har row rule inym Rule (additional) yoginym score p/aPta&k rule of cross multiplication SviStk gu8n inym secant 2edk re`a sector of circle v<ta&= sectorial area iµi{ajy xe{a segment sure`a `&6, `&6 segment of circle v<]a`&6 segment of a stright line sure`a`&6, pd self-conjugate triangle Svanub)0 i{ako8 self evident SvtŠis)0 self induction AaTmp/er8 self-polar Svanub)0 semi-axies A0aRx semi circle A0Rv<t spaRkar inym rule, zigzag rei`t p<Q5 ruled surface fU4p$\4I ruler S sample sampling ind=R ind=Rn sampling distribution ind=Rn ivtr8 sampling method ind=Rn rIit sampling of attribute gu8aTmk ind=Rn sampling technique ind=Rn p)0it 34 semi-cubical parabola saim0nIy prvly set square ka4`Ui8yu&, l&bpamk semi-continuity 6A0RsatTy side (f an equiatio) px, baju semi-diameter A0RVyas, A0RkeN±re`a sign ich\n, s&ket, s&}aa semi-inter quartile range A0Rctu9Rk A&tr significance sa9Rkta semi-vertical angle A0R i=rŠko8 significant sa9R seperation of roots kark iv-ajn, bIj ivyojn significant figure sa9R A&k signless number ivich\n s&~ya, sadI s&~ya sm£p semi-perimeter A0Rpirimit sequence [ae8I similar serial Anuk/m similar and directly homothetic serial correlation [ae7Igt shs&b&0 series [ae7I series (of family) of curves vk/s&hit similitude Anu£pta series finite saNt [ae7I simple equation sadu& smIkr8 series of images p/itib&b [ae8I simple sampling srl ind=Rn series, recurring Aav<]a [ae7I simplification sadu& £p series, reversion of [e7I ivpyaRs simplify sadu& £p Aapvu& sequential analysis AaynÝk/imk p<(9kr8 simultaneous equation yugpt\ smIkr8 single tabulation Aekiv0 koQ4krcna set g8 smiS9t sm£p similar and inversely homothetic p/itiS9t sm£p 35 singular point AsamaNy ib&du spherical polygon golIy bhuko8 size kd spherical radius golIy i{ajya sketch Aak<it, Aale`n spherical segment golIy `&6 skew ivqmtlIy spherical triangle golIy i{ako8 skew quadrilateral ivqmtl ctuQko8 spherical trigonometry golIy i{ako8imit skewness ivqmta square (verb) vgR krvo slant hight {aa&sI w&ca: square (noun) vgR slope 7aX square (noun) cors small circle l3uv<]a squared paper Aale`p{a smooth curve suvk/ square root vgRmUl solid 3nak<it, 3n square term vgRpd solid angle 3nko8 standard p/mai8t solution wkel standard angles ivi=Q4 `U8aAo solve (the ewuation) smIkr8 2o6vu& standardization p/ma8Ikr8 solved example g8elo da`lo statement k9n, iv0an sorter y9avgRk statistic Aag8k sorting y9avgRn statistica; Aa&k6aiv`yk, sa&i~ykIy source of error doqnu& mUX statistician Aa&k6a=aS{aI, s&~yavE}aaink statistics (data) Aa&k6a specification indeR=n spherical cap i=rob&0 36 Aa&k6a=aS{a, s&~yaiv}aan, sa&i~ykI sum formula yogsU{a sum of a series [ae7Ifl step pd summation srvaXo, yogik/ya straight angle sure` ko8 summation formula [ae7I flsU{a, yogsU{a straight line sure`a supplementary angle pUrk ko8 surd kr8I surd index kr8I 3ata&k survey sveR, moj8I symbol p/tIk, s&ket, ich\n, s&}aa statistics (as a science) stratum sub-duplicate ration subject of formula sub-multiple Str vgRmUl gu8o]ar sU{ano ktaR wpgui8t sub-multiple angles wpgui8t `U8aAo subordinate root gO8 bIj smmetric smimt substitution Aade= symmetric determinant smimt in¾yaTmk substraction badbakI symmetrical smimt symmetric equation smimt smIkr8 asymmetric expression smimt pdavil, smimt rai= symmetry smimt synthetic division s&ixPt -agakar subtriplicate ration successsive reduction successive terms sufficient sufficient statistic 3nmUl gu8o]ar k/imk l3ukr8, k/imk s&xepn k/imk pdo pyaRPt pyaRPt Aag8k T sufficiency pyaRiPt table sum srvaXo, yog koQ4k 37 tabular logarithm koQ4kIy l3ug8k transformation (of equation) £paNtr tabulation koQ4krcna transit circle yoMyotr v<]a term pd translation S9anetr test (verb) cksavu&, meXvI jovu& transversal 2edk re`a trapezium sml&bk triangle i{ako8 =aS{aIy, sE)0aiNtk triangle of forces bli{ako8 p/mey triangle of reference Aa0ar i{ako8 triangular prism i{apa¼R ip/zm trigonometry i{ako8 imit trigonomometrical i{ako8imtIy prIx8, kso4I test (noun) theoretical theorem theorem of the equivalent layer tULy p<Q5tanu& p/mey theorem of parallel axes smaNtr Axono inym theory of equation smIkr8 p/kr8 trihedral angle i{atlko8 theory of probability s&-avnano is)0aNt trilinear i{are`Iy trilinear quadric surd i{apdI vgIRkr8 triple i{agui8t triple tabulation i{aiv0 koQ4k rcna thickness third proportional ja6a: t<tIy p/ma8pd third quartile t<tIy ctu9Rk total derivation pU8R ivkln triply orthogonal (system) i{a0a l&b2edI total differential pU8R ivkl trirectangular triangle trace dorvu&, Aale`vu& i{al&b, i{al&b i{apuj 2edk vk/ trisect (verb) i{a-ajn krvu& trajectory 38 true SpQ4, sTy, sacu& variance ivcr8, ivcln two dimensional iµimt variate cl two dimensional field iµimt xe{a variate difference method claNtr rIit the lower bound pra0Š sIma variation cln, v034 the upper bound pro)vRsIma variation constant clngu8k vector si±= U unequal Asm vector field si±= xe{a unit Aekm vector product si±= gu8akar universal savRi{ak vectorial angle si±= ko8 univariate Aekcl verification taXo, `atrI unlimited inŠsIm, Apirimt vertex i=roib&du unlike (signs) Asm vertical w)vR, l&bk unlike term ivjatIy vertical angle i=rŠko8 vertical plane W)vR smtl V valid p/ma8 vertical circle W)vRv<]a validity p/ma8ta, p/ama*y vertical line value ik&mt, mULy W)vR re`a, le`a&k re`a variable cl vertically opposite angle Ai-ko8 variable (adjective) cilt vinculum re`akO&s variable rate ivcilt dr volume 3nfX W 39 w.r.t (with respect to) na ivqe without reminder inŠ=eq whole number pU8R=&k s&~ya Y No word Z zero =UNy zero produce =UNy gu8akar