THE DISCOVERY OF ENGLISH - VOCABULARY CALCULATOR

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American International Journal of Research in Science, Technology, Engineering & Mathematics Available online at http://www.iasir.

1 American International Journal of Research in Science, Technology, Engineering & Mathematics Available online at ISSN (Print): , ISSN (Online): , ISSN (CD-ROM): AIJRSTEM is a refereed, indexed, peer-reviewed, multidisciplinary and open access journal published by International Association of Scientific Innovation and Research (IASIR), USA (An Association Unifying the Sciences, Engineering, and Applied Research) THE DISCOVERY OF ENGLISH - VOCABULARY CALCULATOR Rahali Lawali Usmanu Danfodiyo University Teaching Hospital, Sokoto Objectives of the Study i. To introduce the use of English Derivation Formulas to serve as a means of improving the arrangement of words inside the Oxford, Medical and Nursing dictionary. ii. To laid a solid foundation for further research on the versatility of English Vocabularies. iii. To prove the Diversity of English Language using transliteration as the source. iv. To emphasize the importance of using English Vocabulary Calculator to verify the accuracy of the arrangement of words in our dictionaries. v. To introduce the stepwise derivation of natural numbers to serve as a means of improving the concept of number theorems vi. To sharpen the students understanding of natural numbers and improve their counting abilities vii. To prove the link between the arrangement of elements in the periodic table and the stepwise derivation of Natural Numbers/English Vocabularies viii. To make some importance modifications on number theorems ix. To state the bedrock for the derivation of advanced security intelligence language. Background of the Study The early mathematicians have contributed allot in the world of science and technology. It is the fruit of their collective efforts that the scientists are building on, and come up with new discoveries, innovations & inventions. For example, calculators, computers & handsets to mention but few were made into reality by transforming, modernizing and constant updating of the work of the early mathematicians, such as Thales, Pythagoras, Aristotle & Plato, these are the key founders of scientific knowledge, and without them perhaps, there will be no science. The Source of English Vocabulary Calculator: The Pythagoreans said that all words had their origin and composition in numbers. In order to prove the above Pythagoreans assertion, we need to find out the bedrocks of all counting numbers and coordinate them into a theory that will confirm the above Pythagoreans assertion. After careful analyses of natural numbers, three forms of positive integers, such as 1, 10 and 100 have turned out to be the bedrocks of all counting numbers and their coordination into theory of English Vocabulary Calculator perhaps, confirm the above Pythagoreans assertion. The Theory of English Vocabulary Calculator States that: All natural numbers are derived from 10 digits only, which when combined systematically will produce different groups of number sequence, each 1 group comprises of a 100 sets of counting numbers; and in every group, the last digit which must be an odd number is turned out to be at the terminus, only to tell letters how to behave. NATURAL - NUMBER DERIVATION FORMULAS Generation Features Formula Sum total Indices F1 1-digit numbers e.g 1 etc F F2 2-digit numbers e.g 10 etc F1 + F F3 3-digit numbers e.g 100 etc F1 + F To infinity Note: the sign of Addition [+] is here used as the symbol of prefixation Examples of Stepwise Derivation of Natural Numbers Natural Numbers of First Generation (F1) i. F1 Generation (1-Digit numbers) ii. Sum Total: 10 iii. No. of Tables: 1 iv. Formula (F1) v. AIJRSTEM ; 2016, AIJRSTEM All Rights Reserved Page 204

2 Table of the natural numbers of First-Generation Theoretical Proof: An odd number 9 (i.e. 10-1) has occupied the terminus Natural Numbers of Second Generation (F2) i. F2 Generation (2-Digit numbers) ii. Sum Total: 100 iii. No. of Tables: 1 iv. Formula (F1 + F1) Table of the natural numbers of Second-Generation Theoretical Proof: An odd number 99 (i.e ) has occupied the terminus The Uniqueness of The Families of Second-Generation All tables (with the exception of the first table) are said to be accurate only if they reflect all the families of second generation based on prefix. Write any 2-Digit number and read across the table only to find out that you are simply picking out of a box! Periodic comparisons: across the table, there is a difference of 1 digit while down the table, there is a difference of 10 digits (note : if the class interval is to be resolved individually, each digit has to be written in pairs e.g 10/10/11/11/12/12...,hence from 10 to 10, no digit is missing, but from 10 to 11 one digit is missing, which is 10, the second couple.) Natural Numbers of Third Generation (F3) i. F3 Generation (3-Digit numbers) ii. Sum Total: 1000 iii. No. of Tables: 10 iv. Formula (F1 + F2) Table of the natural numbers of Third-Generation[No.1] Surely, it has been worked out by prefixing 1 to the families of second generation Theoretical Proof: An odd number 199 (i.e ) has occupied the terminus Sequentially, this is how the derivation will continuous until we arrived at 999, after which we should proceed with the families of the fourth generation (4-Digit numbers). MODIFICATION OF NUMBER THEOREMS Odd and Even number theorem States that in every set of two natural numbers that are sequential, the former must be an even number while the letter must be an odd number regardless of their generation e.g. (0,1)/(2,3)/(10,11)/(102,103) AIJRSTEM ; 2016, AIJRSTEM All Rights Reserved Page 205

3 Common Factors Theorem States that the whole common factors of any natural number are derived from the families that have came in the preceding generations and in its own generation provided that the first divisor is 1 and the last common factor is the number itself. E.g. 10(1,2,5,10)/12(1,2,3,4,6,12) Square numbers theorem States that the derivation of all square numbers is determined by the sequential omission of a given set of natural numbers, such as two numbers, four numbers, six numbers..., provided that the first square number is 1.E.g If the first square number is 1, then the second square number is 4, third square number is 9 etc Note: from 1 to 4 there is an omission of two numbers (2 and 3) etc English - Vocabulary Derivation Formula The stepwise derivation of natural numbers which was formulated based on the 3 sets of positive integers highlighted in the theory, such as 1, 10 & 100 enable us to arrive at the following guidelines: For example: F1 = e.g. 1 (1 Digit number) F2 = e.g. 10 (2 Digit number) F3 = e.g. 100 (3 Digit number) In Linguistics sense, we have F1 = e.g. I (1 letter word) F2 = e.g. G0 (2 - letter word) F3 = e.g. See (3 letter word) ENGLISH - VOCABULARY DERIVATION FORMULAS Generation Features Formula Sum total Indices F1 1-letter words e.g 1 etc F F2 2-letter words e.g go, on, to etc. F1 + F F3 3-letter words e.g big, key, ear. F1 + F2 17, Etc. To infinity Thus, it is evident that the 26 letters of English will admit of an infinity of combinations and arrangements, sufficient to represent not only all conceptions of the mind, but all words in all languages whatever. (provided that transliteration is considered to be the source of language diversity) For example: Words of First Generation (F1) i. F1 Generation (1-letter words) ii. Sum Total: 26 iii. No. of Tables:1 iv. Formula (F1) Table of the English words of First-Generation A B C D E F G H I J K L M N O P Q R S T U V W X Y Z i. F2 Generation (2-letter words) ii. Sum Total: 676 iii. No. of Tables:1 iv. Formula (F1 + F1) Table of the English words of Second-Generation aa ab ac ad ae af ag ah ai aj ak al am an ao ap aq ar as at au av aw ax ay az ba bb bc bd be bf bg bh bi bj bk bl bm bn bo bp bq br bs bt bu bv bw bx by bz ca cb cc cd ce cf cg ch ci cj ck cl cm cn co cp cq cr cs ct cu cv cw cx cy cz da db dc dd de df dg dh di dj dk dl dm dn do dp dq dr ds dt du dv dw dx dy dz ea eb ec ed ee ef eg eh ei ej ek el em en eo ep eq er es et eu ev ew ex ey ez fa fb fc fd fe ff fg fj fi fj fk fl fm fn fo fp fq fr fs ft fu fv fw fx fy fz ga gb gc gd ge gf gg gh gi gj gk gl gm gn go gp gq gr gs gt gu gv gw gx gy gz ha hb hc hd he hf hg hh hi hj hk hl hm hn ho hp hq hr hs ht hu hv hw hx hy hz ia ib ic id ie if ig ih ii ij ik il im in io ip iq ir is it iu iv iw ix iy Iz ja jb jc jd je jf jg jh ji jj jk jl jm jn jo jp jq jr js jt ju jv jw jx jy jz ka kb kc kd ke kf kg kh ki kj kk kl km kn ko kp kq kr ks kt ku kv kw kx ky kz la lb lc ld le lf lg lh li lj lk ll lm ln lo lp lq lr ls lt lu lv lw lx ly lz ma mb mc md me mf mg mh mi mj mk ml mm mn mo mp mq mr ms mt mu mv mw mx my mz AIJRSTEM ; 2016, AIJRSTEM All Rights Reserved Page 206

4 na nb nc nd ne nf ng nj ni nj nk nl nm nn no np nq nr ns nt nu nv nw nx ny nz oa ob oc od oe of og oh oi oj ok ol om on oo op oq or os ot ou ov ow ox oy oz pa pb pc pd pe pf pg ph pi pj pk pl pm pn po pp pq pr ps pt pu pv pw px py pz qa qb qc qd qe qf qg qh qi qj qk ql qm qn qo qp qq qr qs qt qu qv qw qx qy qz ra rb rc rd re rf rg rh ri rj rk rl rm rn ro rp rq rr rs rt ru rv rw rx ry rz sa sb sc sd se sf sg sh si sj sk sl sm sn so sp sq sr ss st su sv sw sx sy sz ta tb tc td te tf tg th ti tj tk tl tm tn to tp tq tr ts tt tu tv tw tx ty tz ua ub uc ud ue uf ug uh ui uj uk ul um un uo up uq ur us ut uu uv uw ux uy uz va vb vc vd ve vf vg vh vi vj vk vl vm vn vo vp vq vr vs vt vu vv vw vx vy vz wa wb wc wd we wf wg wh wi wj wk wl wm wn wo wp wq wr ws wt wu wv ww wx wy wz xa xb xc xd xe xf xg xh xi xj xk xl xm xn xo xp xq xr xs xt xu xv xw xx xy xz ya yb yc yd ye yf yg yh yi yj yk yl ym yn yo yp yq yr ys yt yu yv yw yx yy yz za zb zc zd ze zf zg zh zi zj zk zl zm zn zo zp zq zr zs zt zu zv zw zx zy zz Theoretical Proof Write any word of 2 letters regardless of your language (i.e on the basis of transliteration) and read across the table, only to find out that you are simply picking out of a box! The Uniqueness of The Families of Second Generation All tables [with the exception of the first table] are said to be accurate only if they reflect all the families of second generation based on prefix. Periodic comparisons: across the table, there is a difference of 1 word while down the table, there is a difference of 26 words (note : if the class interval is to be resolved individually, each word has to be written in pairs e.g aa/aa/bb/bb/cc/cc...,hence from aa to aa no word is missing, but from aa to ab one word is missing, which is aa, the second couple.) English - Vocabulary Calculator Vocabulary calculator was derived after the 2 sets of positive integers, such as 100, & 1 were read based on their square products. e.g. 100 = 10 2, 1 = 1 2 i. Definition Is an inventive formula which was obtained by transforming the fundamental formula for calculating the area of square or rectangle into a linguistic Formula for computing the serial number of a word or vocabulary ii. Derivation 1 st - Step: Area of Square/Rectangle Area = length x breadth Also, a = l x b 2 nd Step: Simple Quadratic Equation: To transform the above formula into a simple quadratic equation, we need to substitute the sign of multiplication (x) in the formula with the sign of addition (+). Hence, we have: - a = l + b (i) o = - a (l+b) (ii) o = (-al) + (-ab) (iii) o = al + ab (vi) 3 rd Step: Equal Sign Rule For the two sides of the above equation to be in harmony, the value of (a) must be zero (0) For example: Taken the value of (a) to be [0] and that of [l] and [b] to be 1 and 2 respectively. We have: 0 = al + ab 0 = 0 x x 2 0 = = 0 4 th Step :English Vocabulary Calculator Logically: - al + ab = 0, only when the value of a is zero - al x ab = 0, only when one of the variables (a, l or b) has a zero value - also, it will not make any difference, even if the formula was read as: 0 = (a b x l) provided that one of the variables will have a zero value and the sign of multiplication (x) is held constant. Hence, our English Vocabulary Calculator is here verified as: 0 = (a b x l) ++ Also, input = (a b x l) ++ Taken the input to be a vocabulary, while the output to be the serial number of a vocabulary. AIJRSTEM ; 2016, AIJRSTEM All Rights Reserved Page 207

5 In formulaic sense, the 3 variables were taken to mean: a = stand for the actual number of all the letters of English Therefore, a = 26 (constant) b = stand for the index (in descending order) to which the actual number of all the letters of English will be multiply by itself. It is dynamic; it depends on the position occupied by a letter inside a word. For example, in the word Book, we have the following sequence of 4 indexes: 3, 2, 1, 0. Hence, we have B(26 3 )/O(26 2 )/O(26 1 )/K(26 0 ). L = Stand for the serial No. of a letter of English when arrange alphabetically. It is static, it will never change. For example S/No letters A B C D E F G H I J K L M N O P Q R S T U V W X Y Z Now, let us put our vocabulary calculator to the test based on the following linguistic question. QUESTION NO.1 You are giving 3 active vocabularies, such as Go, On & To as an input and you are instructed to state the derivation features of each word and use the vocabulary calculator to calculate the serial No. of the words 1 st Go Derivation Features i. F2 Generation (2 letter words) ii. Formula:(F1 + F1) iii. Sum Total (676) iv. No. of Tables (1) Calculation of serial no. - Input [Go] Solution Data a (the actual number of all the English alphabet) = 26 b (the indexes to which 26 will be multiplied by itself) = 2 indexes: 1,0 l (the serial number of each letter of English) = G 7, O 15 - Computation G [26 1 x 7] + O [26 0 x 15] [182] + [15] Output [197] Serial Number [starting from F1]. Hence it will be No. 171 among the words of second generation i.e nd -On Derivation Features i. F2 Generation (2 letter words) ii. Formula= (F1 + F1) iii. Sum Total= [676] iv. No of Tables (1) Calculation of The Serial No. Input [On] Data a = 26 b = 2 indexes: 1, 0 l = O 15, N 14 - Computation O [26 1 x 15] + N [26 0 x 14] [390] + [14] Output [404] serial No. [Starting from F1]. Hence it will be Number 378 among the words of second generation i.e rd - To Derivation Features i. F2 Generation [2 letter words] ii. Formula [F1 + F1] iii. Sum Total [676] iv. No of tables (1) Calculation of the serial no. Input [To] Data a = 26 b = 2 indexes: 1, 0 l = T 20, O 15 - Computation T [26 1 x 20] + O [26 0 x 15] [520] + [15] Output [535] serial number. [Starting from F1]. Hence it will be number 509 among the words of second generation i.e AIJRSTEM ; 2016, AIJRSTEM All Rights Reserved Page 208

6 Example of Stepwise Arrangement of English Vocabularies in the Oxford Dictionary First -Generation Features: Formula: Sum Total: 1- letter words F1 26 Active vocabulary: Part of speech: Explanation: [a]-[s/n=1] Refer to any of your English Dictionary Refer to any of your English Dictionary [I]-[s/n=9] Second- Generation Features: Formula: Sum Total: 2- letter words F1 + F1 676 Active vocabulary: Part of speech: Explanation: [an]-[s/n=40] Refer to any of your Oxford Dictionary Refer to any of your Oxford Dictionary [as]-[s/n=45] [at]-[s/n=46] Etc INTRODUCTION TO ADVANCED SECURITY INTELLIGENCE LANGUAGE: If no word will have more than one serial no. then our English phrases, clauses and sentences can be written in both words and figures provided that spacing is held constant in all the cases. IN WORDS [Phrase] 1-I go to work 2-In my own car IN FIGURES [Phrase] REFERENCES [1] E. Books, The philosophy of Arithmetic, Philadelphia (1876), P. 24 [2] Oxford Advanced Learner s Dictionary 8 th Edition, [3] The Number Philosophy of Pythagoras; History of philosophy London, 1819 [4] The origin of letters & numerals: According to the Sefer Yetzirah, Philadelphia, [5] [6] AIJRSTEM ; 2016, AIJRSTEM All Rights Reserved Page 209

T h e C S E T I P r o j e c t

T h e C S E T I P r o j e c t T h e P r o j e c t T H E P R O J E C T T A B L E O F C O N T E N T S A r t i c l e P a g e C o m p r e h e n s i v e A s s es s m e n t o f t h e U F O / E T I P h e n o m e n o n M a y 1 9 9 1 1 E T