(* Content-type: application/mathematica *) (*** Wolfram Notebook File ***) (* http://www.wolfram.com/nb *) (* CreatedBy='Mathematica 7.0' *) (*CacheID: 234*) (* Internal cache information: NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 145, 7] NotebookDataLength[ 326459, 6124] NotebookOptionsPosition[ 321945, 5976] NotebookOutlinePosition[ 323023, 6012] CellTagsIndexPosition[ 322943, 6007] WindowFrame->Normal*) (* Beginning of Notebook Content *) Notebook[{ Cell[BoxData[""], "hidefromslideshowgraphic", CellChangeTimes->{{3.4483017593296423`*^9, 3.448301769562791*^9}, { 3.4487297016867533`*^9, 3.448729710294153*^9}, {3.449486136735977*^9, 3.449486146926845*^9}, {3.449490735677544*^9, 3.4494907482045183`*^9}, { 3.473785056790244*^9, 3.4737850735465307`*^9}, {3.485608891427413*^9, 3.485608902078108*^9}, 3.4959528097318*^9, {3.4959528499018*^9, 3.4959528820378*^9}, 3.495952958509*^9, 3.499924757734375*^9}, Background->None], Cell[CellGroupData[{ Cell["\<\ INTERVALOV\[CapitalAAcute] ARITMETIKA A V\[CapitalYAcute]ZKUM DIFERENCI\ \[CapitalAAcute]LN\[CapitalIAcute]CH ROVNIC\ \>", "Title", ShowGroupOpener->False, CellChangeTimes->{{3.448190122176695*^9, 3.44819012385317*^9}, { 3.485609127497636*^9, 3.485609133015955*^9}, 3.4959517106628*^9, { 3.49992481203125*^9, 3.4999248326875*^9}}], Cell["Ji\:0159\[IAcute] Benedikt", "Subtitle", CellChangeTimes->{{3.485609136120798*^9, 3.4856091511532907`*^9}, { 3.4856091945334663`*^9, 3.485609199379443*^9}, {3.4951031489375*^9, 3.49510314984375*^9}, {3.495106455296875*^9, 3.495106455453125*^9}, { 3.4959517277292*^9, 3.4959517343904*^9}}], Cell["\<\ Katedra matematiky, Z\[AAcute]pado\[CHacek]esk\[AAcute] univerzita v Plzni\ \>", "Subsubtitle", CellChangeTimes->{ 3.483202458953512*^9, {3.495105345328125*^9, 3.495105347890625*^9}, { 3.49510644571875*^9, 3.495106448390625*^9}, {3.4959517310364*^9, 3.4959517389300003`*^9}, 3.499927794640625*^9, {3.4999279248125*^9, 3.499927925671875*^9}}], Cell[TextData[{ "\n\n\n\n", StyleBox["Author je podporov\[AAcute]n grantem \[CHacek]. 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Obecn\:011b \:0159e\[CHacek]eno je probl\ \[EAcute]m v tom, \:017ee v\[YAcute]sledky aritmetick\[YAcute]ch operac\ \[IAcute] ve strojov\[EAcute] p\:0159esnosti jsou zaokrouhlov\[AAcute]ny, \ proto\:017ee na po\[CHacek]\[IAcute]ta\[CHacek]i lze reprezentovat pouze kone\ \[CHacek]n\[YAcute] po\[CHacek]et \[CHacek]\[IAcute]sel. 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Pro ", Cell[BoxData[ FormBox[ RowBox[{"p", "=", "2"}], TraditionalForm]]], " se rovnice v (1) redukuje na line\[AAcute]rn\[IAcute] rovnici ", Cell[BoxData[ FormBox[ RowBox[{"\[CapitalDelta]u", "=", "\[Lambda]u"}], TraditionalForm]]], ". \:0158\[IAcute]k\[AAcute]me, \:017ee ", Cell[BoxData[ FormBox["\[Lambda]", TraditionalForm]]], " je vlastn\[IAcute] \[CHacek]\[IAcute]slo (1), pokud m\[AAcute] (1) nenulov\ \[EAcute] \:0159e\[SHacek]en\[IAcute], kter\[EAcute] pak naz\[YAcute]v\ \[AAcute]me p\:0159\[IAcute]slu\[SHacek]nou vlastn\[IAcute] funkc\[IAcute]. \ Je zn\[AAcute]mo, \:017ee prvn\[IAcute] vlastn\[IAcute] funkce (p\:0159\ \[IAcute]slu\[SHacek]n\[AAcute] prvn\[IAcute]mu vlastn\[IAcute]mu \[CHacek]\ \[IAcute]slu) nem\:011bn\[IAcute] znam\[EAcute]nko a \:017ee je \ radi\[AAcute]ln\:011b symetrick\[AAcute]." }], "Text", CellChangeTimes->{{3.4959550523878*^9, 3.4959550743213997`*^9}, { 3.4959552515685997`*^9, 3.4959553130326*^9}, {3.4959553560262003`*^9, 3.4959555981382*^9}, 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