Mathcad Professional 14.0 <description/> <author>student</author> <company>Parametric Technology Corporation</company> <keywords/> <revisedBy>Levente Czumbil</revisedBy> </userData> <identityInfo> <revision>1</revision> <documentID>077C3501-E5DB-42A2-8D78-D9805A0D2EAB</documentID> <versionID>EC428C34-D6E0-4C09-8124-F2AD12398547</versionID> <parentVersionID>00000000-0000-0000-0000-000000000000</parentVersionID> <branchID>00000000-0000-0000-0000-000000000000</branchID> </identityInfo> </metadata> <settings> <presentation> <textRendering> <textStyles> <textStyle name="Normal"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Heading 1"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" 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margin-right="0" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Times New Roman" font-charset="0" font-size="24" font-weight="bold" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Subtitle" base-style="Title"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Times New Roman" font-charset="0" font-size="18" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> </textStyles> </textRendering> <mathRendering equation-color="#000"> <operators multiplication="narrow-dot" derivative="derivative" literal-subscript="large" definition="colon-equal" global-definition="triple-equal" local-definition="left-arrow" equality="bold-equal" symbolic-evaluation="right-arrow"/> <mathStyles> <mathStyle 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underline="false"/> <mathStyle name="User 6" font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 7" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Math Text Font" font-family="Times New Roman" font-charset="0" font-size="14" font-weight="normal" font-style="normal" underline="false"/> </mathStyles> <dimensionNames mass="mass" length="length" time="time" current="current" thermodynamic-temperature="temperature" luminous-intensity="luminosity" amount-of-substance="substance" display="false"/> <symbolics derivation-steps-style="vertical-insert" show-comments="false" evaluate-in-place="false"/> <results numeric-only="true"> <general precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="auto" 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<compatibility multiple-assignment="MC12" local-assignment="MC11"/> </calculationBehavior> <units> <currentUnitSystem name="si" customized="false"/> </units> </calculation> <editor view-annotations="false" view-regions="false"> <ruler is-visible="false" ruler-unit="in"/> <plotTemplate> <xy item-idref="1"/> </plotTemplate> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="true" save-text-images="false" screen-dpi="96"/> <miscellaneous> <handbook handbook-region-tag-ub="259" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295"/> </miscellaneous> </settings> <regions> <region region-id="243" left="12" top="18.75" width="289.5" height="13.5" align-x="12" align-y="30" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit"> <f size="12"> <b> <i>Laboratorul 07</i> </b> </f> <b> <i> - </i> </b> <b> <i>22.11.2017</i> </b> <b> <i> - Soporan Elena-Adriana 1621/3</i> </b> </p> </text> </region> <region region-id="240" left="12" top="50.25" width="369" height="12" align-x="20.25" align-y="60" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <b>!!! </b> <b>A</b> <b>PROXIMAREA FUNCTIILOR PRIN POLINOAME DE INTERPOLARE </b> <b>!!!</b> </p> </text> </region> <region region-id="244" left="18" top="80.25" width="192.75" height="12" align-x="36" align-y="90" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <b> <i>Polinoame de interpolare de tip Lagrange</i> </b> </p> </text> </region> <region region-id="247" left="12" top="98.25" width="423.75" height="12" align-x="23.25" align-y="108" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">=pentru un interval [a,b]; se cunoaste un set de valori x(i), caruia ii corespunde un set de valori y(i)</p> </text> </region> <region region-id="255" left="18" top="123" width="24" height="12.75" align-x="29.25" align-y="132" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">a</ml:id> <ml:real>0</ml:real> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="254" left="66" top="123" width="30" height="12.75" align-x="78.75" align-y="132" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">b</ml:id> <ml:real>10</ml:real> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="253" left="120" top="123" width="31.5" height="12.75" align-x="134.25" align-y="132" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">N</ml:id> <ml:real>20</ml:real> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="252" left="162" top="122.25" width="51.75" height="12" align-x="165.75" align-y="132" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">(nr de elem)</p> </text> </region> <region region-id="256" left="18" top="146.25" width="46.5" height="27.75" align-x="30.75" align-y="162" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">h</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">b</ml:id> <ml:id xml:space="preserve">a</ml:id> </ml:apply> <ml:id xml:space="preserve">N</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="257" left="90" top="152.25" width="15" height="12" align-x="96" align-y="162" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <b> <i>---></i> </b> </p> </text> </region> <region region-id="258" left="120" top="153" width="36" height="12.75" align-x="131.25" align-y="162" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">h</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.5</ml:real> </result> </ml:eval> </math> <rendering item-idref="6"/> </region> <region region-id="198" left="18" top="183" width="36.75" height="12.75" align-x="27" align-y="192" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">i</ml:id> <ml:range> <ml:real>0</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="199" left="78" top="183" width="48.75" height="18" align-x="90.75" align-y="192" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">a</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">h</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="200" left="162" top="170.25" width="48.75" height="33.75" align-x="176.25" align-y="192" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">i</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:real>3</ml:real> </ml:apply> <ml:id xml:space="preserve">N</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="201" left="246" top="182.25" width="88.5" height="12" align-x="258.75" align-y="192" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <i>definim sirurile x si y</i> </p> </text> </region> <region region-id="202" left="18" top="219" width="38.25" height="12.75" align-x="28.5" align-y="228" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">j</ml:id> <ml:range> <ml:real>0</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> </ml:define> </math> <rendering item-idref="10"/> </region> <region region-id="203" left="108" top="216.75" width="123.75" height="32.25" align-x="135.75" align-y="228" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">coef</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <ml:apply> <ml:product/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">j</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">if</ml:id> <ml:sequence> <ml:apply> <ml:equal/> <ml:id xml:space="preserve">i</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <ml:real>1</ml:real> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </ml:apply> </ml:sequence> </ml:apply> </ml:lambda> </ml:apply> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="204" left="18" top="260.25" width="65.25" height="12" align-x="30.75" align-y="270" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">definim functia </p> </text> </region> <region region-id="205" left="102" top="258.75" width="118.5" height="32.25" align-x="165" align-y="270" show-border="false" show-highlight="false" 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xml:space="preserve">i</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:lambda> </ml:apply> </ml:define> </math> <rendering item-idref="14"/> </region> <region region-id="208" left="108" top="350.25" width="282.75" height="24" align-x="125.25" align-y="360" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <i>polinomul Lagrange, interpoleaza functia de legatura f(z) si sirurile x si y pe [a,b]</i> </p> </text> </region> <region region-id="209" left="18" top="387" width="55.5" height="12.75" align-x="28.5" align-y="396" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">z</ml:id> <ml:range> <ml:sequence> <ml:real>0</ml:real> <ml:real>0.1</ml:real> </ml:sequence> <ml:real>10</ml:real> </ml:range> </ml:define> </math> <rendering item-idref="15"/> </region> <region region-id="210" left="18" top="420" width="330.75" height="275.25" align-x="18" align-y="420" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="16"/> <rendering item-idref="17"/> </region> <region region-id="211" left="24" top="698.25" width="389.25" height="12" align-x="41.25" align-y="708" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <i>problema = daca avem prea multe elemente (vezi grafic de la implementarea Netwon)</i> </p> </text> </region> <region region-id="259" left="18" top="728.25" width="302.25" height="12" align-x="35.25" align-y="738" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <b> <i>Polinomul de interpolare a lui Newton cu diferente divizate</i> </b> </p> </text> </region> <region region-id="213" left="24" top="752.25" width="84.75" height="24" align-x="36.75" align-y="762" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <i>definim vectorii x si y</i> </p> </text> </region> <region region-id="214" left="30" top="769.5" width="36" height="111.75" align-x="40.5" align-y="828" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">x</ml:id> <ml:matrix rows="7" cols="1"> <ml:real>1</ml:real> <ml:real>2</ml:real> <ml:real>3</ml:real> <ml:real>4</ml:real> <ml:real>5</ml:real> <ml:real>6</ml:real> <ml:real>7</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="18"/> </region> <region region-id="215" left="102" top="769.5" width="47.25" height="111.75" align-x="114" align-y="828" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">y</ml:id> <ml:matrix rows="7" cols="1"> <ml:real>1</ml:real> <ml:real>4</ml:real> <ml:real>9</ml:real> <ml:real>56</ml:real> <ml:real>25</ml:real> <ml:real>-12</ml:real> <ml:real>49</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="19"/> </region> <region region-id="216" left="24" top="896.25" width="285.75" height="12" align-x="35.25" align-y="906" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <i>scriem algoritmul care calculeaza diferentele divizate</i> </p> </text> </region> <region region-id="217" left="30" top="921" width="231" height="230.25" align-x="96" align-y="930" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Matrix_dif_div</ml:id> <ml:program> <ml:localDefine> <ml:id xml:space="preserve">a</ml:id> <ml:id xml:space="preserve">x</ml:id> </ml:localDefine> <ml:localDefine> <ml:id xml:space="preserve">b</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:localDefine> <ml:localDefine> <ml:id xml:space="preserve">n</ml:id> <ml:apply> <ml:id xml:space="preserve">last</ml:id> <ml:id xml:space="preserve">a</ml:id> </ml:apply> </ml:localDefine> <ml:for> <ml:id xml:space="preserve">j</ml:id> <ml:range> <ml:real>0</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:range> <ml:localDefine> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">G</ml:id> <ml:sequence> <ml:id xml:space="preserve">j</ml:id> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">b</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </ml:localDefine> </ml:for> <ml:for> <ml:id xml:space="preserve">j</ml:id> <ml:range> <ml:real>1</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:range> <ml:program> <ml:for> <ml:id xml:space="preserve">k</ml:id> <ml:range> <ml:real>0</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">n</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </ml:range> <ml:localDefine> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">G</ml:id> <ml:sequence> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">G</ml:id> <ml:sequence> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">j</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">G</ml:id> <ml:sequence> <ml:id xml:space="preserve">k</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">j</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">a</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">a</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:localDefine> </ml:for> <ml:for> <ml:id xml:space="preserve">i</ml:id> <ml:range> <ml:real>1</ml:real> <ml:id xml:space="preserve">j</ml:id> </ml:range> <ml:localDefine> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">G</ml:id> <ml:sequence> <ml:apply> <ml:plus/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">n</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <ml:id xml:space="preserve">j</ml:id> </ml:sequence> </ml:apply> <ml:real>0</ml:real> </ml:localDefine> </ml:for> <ml:id xml:space="preserve">G</ml:id> </ml:program> </ml:for> <ml:id xml:space="preserve">G</ml:id> </ml:program> </ml:define> </math> <rendering item-idref="20"/> </region> <region region-id="218" left="24" top="1160.25" width="240.75" height="12" align-x="27" align-y="1170" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <i>se obtine matricea D de diferente divizate</i> </p> </text> </region> <region region-id="219" left="54" top="1239" width="81" height="12.75" align-x="67.5" align-y="1248" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve">Matrix_dif_div</ml:id> </ml:define> </math> <rendering item-idref="21"/> </region> <region region-id="220" left="156" top="1189.5" width="222.75" height="111.75" align-x="168" align-y="1248" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">D</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:matrix rows="7" cols="7"> <ml:real>1</ml:real> <ml:real>4</ml:real> <ml:real>9</ml:real> <ml:real>56</ml:real> <ml:real>25</ml:real> <ml:real>-12</ml:real> <ml:real>49</ml:real> <ml:real>3</ml:real> <ml:real>5</ml:real> <ml:real>47</ml:real> <ml:real>-31</ml:real> <ml:real>-37</ml:real> <ml:real>61</ml:real> <ml:real>0</ml:real> <ml:real>1</ml:real> <ml:real>21</ml:real> <ml:real>-39</ml:real> <ml:real>-3</ml:real> <ml:real>49</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>6.666666666666667</ml:real> <ml:real>-20</ml:real> <ml:real>12</ml:real> <ml:real>17.333333333333332</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>-6.666666666666667</ml:real> <ml:real>8</ml:real> <ml:real>1.333333333333333</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>2.9333333333333336</ml:real> <ml:real>-1.3333333333333335</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>-0.71111111111111125</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:matrix> </result> </ml:eval> </math> <rendering item-idref="22"/> </region> <region region-id="221" left="24" top="1310.25" width="316.5" height="12" align-x="34.5" align-y="1320" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <i>avand matricea D, construim functia de interpolare Newton</i> </p> </text> </region> <region region-id="222" left="30" top="1341" width="56.25" height="12.75" align-x="40.5" align-y="1350" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">j</ml:id> <ml:range> <ml:real>1</ml:real> <ml:apply> <ml:id xml:space="preserve">last</ml:id> <ml:id 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<region region-id="229" left="186" top="1670.25" width="138.75" height="24" align-x="189.75" align-y="1680" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">M reprezinta vectorul de coeficienti</p> </text> </region> <region region-id="230" left="30" top="1695" width="78" height="16.5" align-x="50.25" align-y="1704" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="3">M</ml:id> <ml:apply> <ml:id xml:space="preserve">cspline</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> 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