{"text_format":"3","workbook":"xlsx","n_sheets":4,"sheets":["megjelenítés","struktogram","lineáris_keresés","iterált_keresés"],"not_rendered":{"charts":1,"macros":1,"defined_names":15},"read":"whole","date_system":"1900"}

{"sheet":"megjelenítés","index":0,"n_rows":28,"n_cols":16,"rows_kept":28}
[]
[null,"metszéspont",{"$nulls":3},"h",{"v":7,"d":"7.00 m"},null,"xe",{"$f":"-b","v":{"v":-6,"d":"-6.00 m"}},null,"n",{"v":10000,"d":"10,000"}]
[]
[null,{"v":-3.3588000000000005,"d":"-3.36 m"},{"$f":"h/4*(2+(1-ABS(x)*2/b)^3+(1-ABS(x)*2/b))","v":{"v":3.2877061393119997,"d":"3.29 m"}},null,null,"b",{"v":6,"d":"6.00 m"},null,"xv",{"$f":"xe+b","v":{"v":0,"d":"0.00 m"}},null,"dx",0.0006,null,"próbálkozás",4402]
[]
["i","x"," f(x)"," g(x)"]
[]
[-10,{"$f":"i/10*b","v":{"v":-6,"d":"-6.00 m"}},{"$f":"h/4*(2+(1-ABS(x)*2/b)^3+(1-ABS(x)*2/b))","v":{"v":0,"d":"0.00 m"}},{"$f":"(b^2/6+(x+h/6)^2)^(1/2)","v":{"v":5.418589402336286,"d":"5.42 m"}}]
[-9,{"v":-5.4,"d":"-5.40 m"},{"$f":"h/4*(2+(1-ABS(x)*2/b)^3+(1-ABS(x)*2/b))","v":{"v":1.204,"d":"1.20 m"}},{"v":4.890921294716478,"d":"4.89 m"}]
[-8,{"v":-4.800000000000001,"d":"-4.80 m"},{"v":2.0719999999999987,"d":"2.07 m"},{"v":4.381907245836123,"d":"4.38 m"}]
[-7,{"v":-4.199999999999999,"d":"-4.20 m"},{"v":2.6880000000000006,"d":"2.69 m"},{"v":3.8988602323129133,"d":"3.90 m"}]
[-6,{"v":-3.5999999999999996,"d":"-3.60 m"},{"v":3.136,"d":"3.14 m"},{"v":3.4526962089229785,"d":"3.45 m"}]
[-5,{"v":-3,"d":"-3.00 m"},{"v":3.5,"d":"3.50 m"},{"v":3.0595932917809696,"d":"3.06 m"}]
[-4,{"v":-2.4000000000000004,"d":"-2.40 m"},{"v":3.8639999999999994,"d":"3.86 m"},{"v":2.742464422943552,"d":"2.74 m"}]
[-3,{"v":-1.7999999999999998,"d":"-1.80 m"},{"v":4.312,"d":"4.31 m"},{"v":2.530041721219457,"d":"2.53 m"}]
[-2,{"v":-1.2000000000000002,"d":"-1.20 m"},{"v":4.928,"d":"4.93 m"},{"v":2.4497165368897504,"d":"2.45 m"}]
[-1,{"v":-0.6000000000000001,"d":"-0.60 m"},{"v":5.795999999999999,"d":"5.80 m"},{"v":2.5141819964177436,"d":"2.51 m"}]
[0,{"v":0,"d":"0.00 m"},{"v":7,"d":"7.00 m"},{"v":2.7131367660166177,"d":"2.71 m"}]
[1,{"v":0.6000000000000001,"d":"0.60 m"},{"v":5.795999999999999,"d":"5.80 m"},{"v":3.020117731332855,"d":"3.02 m"}]
[2,{"v":1.2000000000000002,"d":"1.20 m"},{"v":4.928,"d":"4.93 m"},{"v":3.4060403860070587,"d":"3.41 m"}]
[3,{"v":1.7999999999999998,"d":"1.80 m"},{"v":4.312,"d":"4.31 m"},{"v":3.8472212194142297,"d":"3.85 m"}]
[4,{"v":2.4000000000000004,"d":"2.40 m"},{"v":3.8639999999999994,"d":"3.86 m"},{"v":4.326789931474732,"d":"4.33 m"}]
[5,{"v":3,"d":"3.00 m"},{"v":3.5,"d":"3.50 m"},{"v":4.833333333333334,"d":"4.83 m"}]
[6,{"v":3.5999999999999996,"d":"3.60 m"},{"v":3.136,"d":"3.14 m"},{"v":5.35920806753303,"d":"5.36 m"}]
[7,{"v":4.199999999999999,"d":"4.20 m"},{"v":2.6880000000000006,"d":"2.69 m"},{"v":5.899246656235956,"d":"5.90 m"}]
[8,{"v":4.800000000000001,"d":"4.80 m"},{"v":2.0719999999999987,"d":"2.07 m"},{"v":6.449892333296047,"d":"6.45 m"}]
[9,{"v":5.4,"d":"5.40 m"},{"v":1.204,"d":"1.20 m"},{"v":7.0086454548015995,"d":"7.01 m"}]
[10,{"v":6,"d":"6.00 m"},{"v":0,"d":"0.00 m"},{"v":7.573711845001176,"d":"7.57 m"}]

{"sheet":"struktogram","index":1,"n_rows":19,"n_cols":11,"rows_kept":19}
[null,"Struktogram használat"]
[null,"algoritmus (paraméterek)"]
[]
["szekvencia:","utasítás 1",{"$nulls":6},"(elemi utasítás)"]
["(utasítások egymás","utasítás 2",{"$nulls":6},"(összetett  utasítás  => új struktogramban kifejtendő)"]
["utáni sorozata)","…"]
[null,"utasítás n"]
[]
["kétirányú elágazás:","i","feltétel",{"$nulls":3},"h",null,"jelölések:",":=","értékadás (a bal oldal legyen egyenlő"]
[null,"(igaz ág)",null,null,"(hamis ág)",{"$nulls":5},"a jobb oldal kiértékelése utáni értékkel)"]
[{"$nulls":9},"˄","és logikai operátor"]
["többirányú elágazás:","felt1","felt2"," ","…",null,"feltn",null,null,"˅","vagy logikai operátor"]
["(felbontható kétirányú",{"$nulls":3},"…",{"$nulls":4},"˥","logikai negálás"]
["elágazások sorozatára)",{"$nulls":8},"á",true]
[{"$nulls":9},"á",true]
["ciklus:",null,null,"feltétel","(teljesül a feltétel)",null," ",null,null,"â",false]
[null,null,"(ciklusmag)",{"$nulls":6},"SKIP","üres utasítás"]
[{"$nulls":10},"(továbblépés a következő utasításra)"]
[null,"(nem teljesül a feltétel)"]

{"sheet":"lineáris_keresés","index":2,"n_rows":11,"n_cols":7,"rows_kept":11,"merged":[[1,1,1,4]]}
[]
[null,"f(x) és g(x) függvények metszéspontja [xe,xv] intervallumban\n(paraméterek: xe,xv, n, és h, b függvényparaméterek)",{"$nulls":4},"f(x)"]
[null,"dx :=  (xv − xe) / n",{"$nulls":4}," f := h/4 · ( 2 + (1−|x|) · 2/b )³ + (1−|x|) · 2/b ) )"]
[null,"x := xe"]
[null,"e := Sgn( f(x) − g(x) )"]
[null,"i := 0",{"$nulls":4},"g(x)"]
[null,"i < n  ˄  e · ( f(x) − g(x) ) > 0"]
[null,null,"i := i + 1",{"$nulls":3}," g := Sqr( b²/6 + (x + h/6)² )"]
[null,null,"x := xe + i * dx"]
[null,"i","e · ( f(x) − g(x) ) ≤  0",null,"h"]
[null,"metszéspont: [ mpx ; f(mpx) ]\n(valójában: x − dx < mpx ≤ x )",null,"nincs metszéspont [ xe ; xv ]-ben\n(vagy sűrűbb lépésköz szükséges)"]

{"sheet":"iterált_keresés","index":3,"n_rows":15,"n_cols":8,"rows_kept":15,"merged":[[1,2,1,5]]}
[]
[null,null,"f(x) és g(x) függvények metszéspontja [xe,xv] intervallumban\n(paraméterek: xe,xv, n, és h, b függvényparaméterek)",{"$nulls":4},"f(x)"]
[null,"ciklus indítása",{"$nulls":5}," f := h/4 · ( 2 + (1−|x|) · 2/b )³ + (1−|x|) · 2/b ) )"]
[null,null,"dx :=  (xv − xe) / n"]
[null,null,"x := xe"]
[null,null,"e := Sgn( f(x) − g(x) )",{"$nulls":4},"g(x)"]
[null,null,"i := 0"]
[null,null,"i < n  ˄  e · ( f(x) − g(x) ) > 0",{"$nulls":4}," g := Sqr( b²/6 + (x + h/6)² )"]
[{"$nulls":3},"i := i + 1"]
[{"$nulls":3},"x := xe + i * dx"]
[null,null,"xe := x − dx"]
[null,null,"xv := x"]
[null,"dx < határérték  ˅  e · ( f(x) − g(x) ) = 0"]
[null,"i","e · ( f(x) − g(x) ) ≤  0",null,null,"h"]
[null,"metszéspont: [ mpx ; f(mpx) ]\n(valójában: x − dx < mpx ≤ x )",null,null,"nincs metszéspont [ xe ; xv ]-ben\n(vagy sűrűbb lépésköz szükséges)"]