Case 6:12-cv-00799-JRG Document 143-7 Filed 04/11/14 Page 1 of 6 PageID #: 4284
`Case 6:12—cv—00799—JRG Document 143-7 Filed 04/11/14 Page 1 of 6 Page|D #: 4284
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`EXHIBIT G
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`EXHIBIT G
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`Case 6:12—cv—00799—JRG Document 143-7 Filed 04/11/14 Page 1 of 6 Page|D #: 4284
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`EXHIBIT G
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`EXHIBIT G
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`
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`Case 6:12-cv-00799-JRG Document 143-7 Filed 04/11/14 Page 2 of 6 PageID #: 4285
`Case 6:12—cv—00799—JRG Document 143-7 Filed 04/11/14 Page 2 of 6 Page|D #: 4285
`
`|?II.|I"'II-
`I\.'II'.- L!" I-
`
`nwmnxangn mum:
`
`ii-1-cl-DIIEIEI
`
`I115‘-BEE
`
`
`
`Case 6:12-cv-00799-JRG Document 143-7 Filed 04/11/14 Page 3 of 6 PageID #: 4286
`Case 6:12—cv—00799—JRG Document 143-7 Filed 04/11/14 Page 3 of 6 Page|D #: 4286
`
`W3
`
`IHIT I"'EDEIL'«E'I"
`
`E‘. an infinite
`DT"+'EF-‘GENT 5-F«I3I.[ES .-‘L divergent
`:-itrics with urn r'III-lie sum. .-H. u:riL-5 I:f:Iu.1 dues }n:m.- :: finsre
`sum is -ruilcrl a I.'[:I|'|.1|':|.'fi|_-.|'|I. 51-|'i:5_
`
`DIVIDEND II! IhL'. tquuliull u
`L1r1-'ju:l:'nn:|.
`
`I
`
`1':
`
`4'
`
`n;', gr 1:. cu]!-::1;] U3:
`
`DI'ir'l5F['.|T'~'- Ilivlsinrl is II1-: nppmiu: -upemlinn u-1 m:,:[|jp-1u_-a-
`'|i|III|-]rn'I|
`-35 -F-' = -I’.
`|:|'.r:I14.'+ III = r.I.FI::Icr I::-::|r|',|r|I»:,n|". 2!: El =
`-Hi. .-nmJ 4!! + =':- = :::.Trm .~:g.'m|:u::l
`i:~. I.'n-av.-.::1ItIru:prv.',:-in:-:11.
`-slim:-=u1n irr uriI‘rImv:ti.v:'. In algebra ram-5.: 1I'rI.Ii:-:1I1r|x nn.-, wnt-
`5||$l'l FM |'m1.'I'I|:|I'I:-ii
`II + |'.I' = 1'3:-".IJ._FrIr' n:IIrrIr|I;|I;|I!|I_1n:]]
`|1u,|--
`11»=::-:::~.. M: is .53rm'rrnJ:i.tcd hg: uJ.i'J.
`r_.‘:iau.-
`rL|:«.u n-muindur;
`$3 nllwlil: dirJniEIn.l
`
`fll"'|-'[5'|3'H III the E|'-||.-|-:l|||::'i|1- ra -' .'r = L‘.
`
`.'J is called Lhu I.ll'|.'|ui_1T
`
`[33'I'-'E{7fi-HEDl1UN 9- fl-!HJ::I‘.'-.I|1L'v:|.H1n it B. pan-i|g.'E'In::c.'|rI:I:1 with
`J! I"aI:v:.=.. [Sm p-nl}l:|and.1-rm.|
`r_.‘im.-. Fig|_|_|'l: 4:5-_|
`
`|'uur.-Inna 1.-: I|1I: .a-:1: I1E':|II ]:re,1,5.5i-
`|}fl'H-UH Thu: n:JI.1-rnnein at" u.
`hie 5-alum fur Ih-: urgum-:-nl uh: i.|'I|.'||.1l nuIn|'||:-r| u|'
`:I:1_|:
`f'l|JI!i.'[i:'l1|i. [Eur [|||1u['Iiu-|'|.f|
`
`HUT PRUBUET LEI: ll and B hr r-.-.-n r;I-|;Ii|.'|:n:-a'|.-'..'ir_m:.]
`
`‘I.-|=_-4}
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`|‘E|r'.‘I-
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`L"H|:I'|1!l:|'||:I.'III!Ii
`
`||I'E'
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`Ii — [13-'_.n'I;~.:'I1-..
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`:.I,_,,'u
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`5- — [-‘»'..~'1~:.1'-1:——.Jr,.J
`
`Flnlfl -1-E Er-::I:|e::=-zlh-Edrunn
`
`
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`Case 6:12-cv-00799-JRG Document 143-7 Filed 04/11/14 Page 4 of 6 PageID #: 4287
`Case 6:12—cv—00799—JRG Document 143-7 Filed 04/11/14 Page 4 of 6 Page|D #: 4287
`
`|_'.H'_I1' I3"FI.Il'IIJI.'-|L'l
`
`lid
`
`The due p-r=.'n:Iu::!.1::t' LII! mu 'I-'-I'.'=..!|2-|2IT}'i'i"P-'I'i1I-P1'|'
`Ll-I.'J"I|1».-.I-1 I-I2: he:
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`il-"r Fl ' |'IH1=
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`a -
`
`I1:
`
`-r
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`rJ,.|':I. + :1-_.h, -I- I:lu,!1';|+
`
`-- 4'.I...|f2I..
`
`Tu. find 4: 11¢: I-,n:uJu:.1. _I.-nu t1au1li|:-l_-r n1i|1hv: »:'.w.'Irru:mu'rH:J-
`ing 1:uJ:|'|_'|p1:In|:1|5-: uni-.-u.:.-h ~.-m.::-rr :u1.d: dun :1::|:I tun-gcfl1:1'a||uF
`|J:|-:5|:- |_:|n;|-u;|uI;-|_'5 Lu. ru.-:1-nJinuanaz'nm1:n1 Hpam: Hlifi
`|:I:::u:-n1:r.5-:
`
`I - £u..u_,r
`
`I7‘ Ehrlhv]
`
`u -13- -r r1,|'J, + .u,n'.I,
`
`is .1 11un1!-x.-r, nr 9:4:-alnr. r.1t'r:I:.r :hn.rL I].
`11:: d:;u|_ pmu.-up:
`'|.|'I.':-|:,'|I:|-|'_ TI‘: d,I:|I p:|1:r|;IL1I:1 1:4 I.||_1.-5,: -L‘.'|||E-II 'H'.'a-E !-'.I:“:flfl.l' []l‘IDI:i'lIIi.'t.
`.5._|m|J',n:r Fcl-[';|'|1 lnr UH: glut r|rI::-|:|i-I.|.-:':L -|‘:.J|I bl-E I-|:|1I.I'|d ‘bf:-' {IEfi|'|-
`ing I|'|E' length 114' Each 1H.-e.'I!I1r:
`r_, = "I.-"';:'+
`
`-fl:
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`r... = "'4-"'r|'|'-'.:
`
`I
`
`T'hE|!|!
`
`I'll = rur,
`
`31:3?
`fllbl
`----- I --
`
`tH:I.wI::n mun»: H u.:ruJ- lhfi E-H155.
`]_,.|:I_ |'J'" he Th: .'mg|:-I:
`H,_ h: II1:-_' nngir: hetl.-.~:m 1.r-.'cI.+:ur h and Lh»:
`1.‘-.'I:II.h-. mill
`:9 = 1.!“
`{i_,_ he Ilka zmglc: I:-1::-.I.':r.:ra 111:: w-1.1 'I-'I:|.1|2|l.'$-.
`Th-|..‘-I1:
`
`er
`
`1':
`'-- n:nm'i|'_,;—' = 1:-u5fi|.__
`rd
`1-.‘-
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`"7.-'
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`”:
`-- - 51:1fi|_,; — = am-5',-.
`‘rd
`r|'|
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`1.14.’; can n,-,u.-rig: the r1e;:|1 pr-ndLu:1 1'-:I-ITm||:I:
`
`u - h = r,.r,,[-::::r5H1'..4:n5 Hy. + 5in£'_,s'tnE|'.,]
`
`Lrgiug 111.: Jimnuln Im llbu u;n:=:im:- nf II1: d.i.EE1:-I-1:11-:-I:
`E‘:-::-.m:1n::1 l-ml nnglcs givrn
`
`11 ' h = r,r,,1!I.t5t3'
`
`
`
`Case 6:12-cv-00799-JRG Document 143-7 Filed 04/11/14 Page 5 of 6 PageID #: 4288
`Case 6:12—cv—00799—JRG Document 143-7 Filed 04/11/14 Page 5 of 6 Page|D #: 4288
`
`"15
`
`I!HL'I'1'I'I-'I'|!'.|'I'.l-'-|..'E'I
`
`thin uh: dnl pmaim.-I: 4:-.am he
`E.-H.].=!-i
`t'I.1I'i11uia.
`l:L=.t
`Th:
`I':r1in-ii by multiplying [hr rnag'n.iIi.1i:|r: Hf the |'|.'+'-:I 1.-i.-..::ur'-.
`rim! III: 1:-riu-Litiir c:-l" U19: anglr: |:u::1.i-i:4:n l|'IE|I'l. "|'|'ii,-». iuuans
`thu.I the I2II2|'|i pruui-m:l ifi
`:iJrr.:'.i.-:1_-.- gu.':l |'ni nu.-u ||||1H.I,~;
`
`1. Twnzu mzun:-'_n:r-:i 1'i:=..'tnn=; will Ih:J:erpe:iiJii;:L|;|ri|';-u1:1
`unly if :hr:Lr
`:1-:3-I. pL1.n'J:in::
`:i:-.
`:2-m.
`r.&.
`:.':-=n:-
`i.Ii;H:
`'|'lTl]|:||.||..'I
`navcaus. LILFIII :.'i:n: H 4 IEI, mizanirly; er - 'i3II:)",:i
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`ll - II Ian I'll; u_Iac-i:I.
`1 Thu! 1II2I|i FI|'I'JI11.|i.'|.
`j4:::1ii:i-rL IJF"."I3-l."E|.'I-I" 3 run 'I.'E'n':|:-i1r h:
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`|-;:- I"|r-irl Ih: pru-
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`I ' II
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`.
`|.'|-TI.'.|j|!vH|I!'||.'li.'.If.|2I:'i|'| h - ]* = —hh ' I:
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`in _n.-.;,-nlm-_ «nib: |'_I|'|_'|—
`Nun": ihnr rlre I..|I|.:ll'I|i|'_I.' i'n~l||i'iI_|-In an:
`Li-'.‘421:|I.'II'i
`'+'-I:-t:iIrrE1~:
`|'I'rt'1:iI.!:i1 11¢ mullip-i:.I:ng a 5r.'a.|aJ' timcs H1:
`w.-i.'-mm It. [See fi!;4,I;|'I:. -.‘.i'_ I
`I1lh-iznw Ur. din pmduti -:.'a.u hi:
`Hart: is i|l1 I'.!il.ilTI1|2"]I.‘
`u~:I=r.l In: FIr1I:|:I1v: nngt: in-::t'-I.-i:::n 11.-an ~.'r:u:'Lu:i.i'a. Tin: 1.'|.l:'l:i|"Il." uf
`I|'I.'
`iI11g,|r:
`I1-::|!'A'»:cI1 [ht 1'i::::tr-rs I|.|:i imd :2.-A1} will be
`given 1_'|:,'
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`,
`'.| a.
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`cu-50 =4 = ii.-.i-5
`‘J3 -
`-.-*'2ri
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`El = Li.ri:r:~iJ5Ji|5 = H!"
`
`
`
`Figure -I11"
`
`
`
`Case 6:12-cv-00799-JRG Document 143-7 Filed 04/11/14 Page 6 of 6 PageID #: 4289
`Case 6:12—cv—00799—JRG Document 143-7 Filed 04/11/14 Page 6 of 6 PagelD #: 4289
`
`R’
`
`233
`
`
`
`R3 The R3 value for a multiple regression is a number that
`indicates how well the regression explains the variance in
`the dependent variable. R3 is always between [I and l. Ifit
`is close to 1. the regression has explained a lot of the vari-
`ance: ii" it is close to [l. the regression has not explained
`very much. In the case of a simple regression, this is often
`written r3. which is the square of the correlation coeffi-
`cient between the independent variable and the dependent
`variable. (See regression: multiple regression.)
`
`RADMN MEASURE Radian measure is a way to measure
`angles that is often the most convenient for mathematical
`pu
`The radian measure of an angle is found by mea-
`suring the length of the intercepted am: and dividing it by
`me radius of the circle. For example, the circurnference of
`a circle is 2m; so a full circle (360 degrees} equals 211' radi-
`ans. Also. I80 degrees equals rr radians, and a right angle
`{'30 degrees} has a measure of rrt'2 radians. T'he radian
`measure of an angle is u.nit—ii‘ee (i.e., it does not matter
`whether the radius of the circle is measured in inches,
`meters. or miles). Radian measure is required when
`trigonometric functions are used in eaiculus.
`RADICAL The radical symbol {VF} is used to indicate the
`taking of a root of a number. Thus {7} means I.he qth root
`of I, which is the number that, when used as a factor q
`times. equals x: [\?/E)” = I. Here qr is called the index of
`the radical. Lf no index is specified. then the square root is
`meant. A radical always means to take the positive value.
`For example, both 3»! = 5 and y = —5 satisfy :91 =' 25; but
`1/5 = 5. {See root.)
`
`RAIJICAND The radicand is the part of an expression that
`
`is inside the radical sign. For esanipie. in the expression
`V l - xl I.l1e expression {I — 1:3) is the radicand.
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