Pros Tho Don Tics Lecture 5

Embed Size (px)

Citation preview

  • 8/3/2019 Pros Tho Don Tics Lecture 5

    1/13

    $9 f

  • 8/3/2019 Pros Tho Don Tics Lecture 5

    2/13

    $9 f

    &&%&

    Sc^WS`[Z_\^WU[^V

    [`W_

    W^_`S^`WV`WWU`a^WT^Wb_ZYSXWc_`W\_ZSZYU[\W`W

    VWZ`a^WcUcW`SWVST[a` SZ`W_

    WV^SZZ[aZUWV`S`WS_a_Z`WWSST[a`SVbSZ`SYW_SZV

    V_SVbSZ`SYW_[XS`W^S_a_WVX[^SZY\^S^SZV_WU[ZVS^

    \^W__[Z_Z`WST_aS^WV`WZ`WS_`\SYW_WU`a^WSZV`WU[ZY[ZWcWU[bW^US\`W^_

    Z`WT[[

    `W^^W\WS`WV_[W\[Z`_SZSZ`W__[WZ`[ZWV`W

    ZS_\WcS

    [ccWTWYZ[a^WU`a^W

    Sc^WS`[Z_\^WU[^VS_S[`[X_`W\_`_Z[ S_\`SZYSZ\^W__[Z[^T[^VW^[VZY[^cS\^W__[Z W__WZ`S

    WS_a^WWZ`[X\S`WZ`_XSUWW_`ST_ZY`W

    [ccWZ[cX^[_`aVW_`S`a_aS`W^WS^WUW^`SZ`ZY_

    \^W_WZ`Z\S`WZ`_[a`TWX[^WSZVSX`W^W`^SU`ZY`WW`

    cWZ[c`S`SX`W^cWW`^SU`WV`WW``W^W_VaS^VYWS\W

    ^W_[^TSZVcWZcWcSZ``[_W``WW`TSU`[`W^Z[^S\[_`[Z

    [cUSZV[`S`XSbW[_``WW`SZVV[Z`SbWS^WU[^VX[^`W\S`WZ`_[^YZS[ZW_`W^WS^WSZaTW^[XYaVWZW_`S`c

    W\a_S[ZYScS

    cWSbWYaVWZW_`S`V[Z`USZYW`W^\[_`[ZTWX[^WSZVSX`W^

    W`^SU`[Z_[`WW\a_`[XZV`WVWS\[_`[Z[X`W`WW`

    ZU_bW\S\S

  • 8/3/2019 Pros Tho Don Tics Lecture 5

    3/13

    $9 f

    `[V[a`S `W^WS^W_[WSZVS^_Z`W[a`^WSZZ`W^W

    \SUW_aUS_`WZU_bW\S\ScW_SV`S``W[US`[Z[X`W

    ZU_bW\S\S_%TWZV`WZU_SWVYW[X`WUWZ`^S

    ZU_[^_

    WZ[c`S``W`WW`Z`Wa\\W^S^US^WSZYaS`WVSTSXSUS

    `[`W^VYW_[cWZ`W^VYW^W_[^T_SbW`[_W``WS^`XUS`WW`

    STS`[U[\WZ_S`W

    SZVTaS^^WS`[Z_\S[

    ZSc^WS`[Z_\^WU[^V`W^WS^W`^WWTS_U_`W\_

    Va_`ZY`WSS^SZVSZVTaS^^_`[W_`ST_`W\^[\W^

    bW^`US^WS`[Z_\

    [X^_`XZV`WV_`SZUWTW`cWWZ`c[S^UW_`_\[^`SZ`SZVVXXW^WZ`

    TW`cWWZ\S`WZ`_

    ZYWS_[US`[ZZWWV`[XZV`W^WS`[Z_\`W^Y`

    V_`SZUWTW`cWWZ`Wa\\W^ScSZV\S`WZ`_WSV_\WUXUSa\\W^

    ScSZV`W\[^[SZVTaS^[Z`W^WS`[Z_\TW`cWWZ`W

    a\\W^ScSZV`WS_[X^[`S`[Z[X`W[cW^Sc`WZ`^SZ_XW^`_

    ^WS`[Z_\`[SZZ_`^aWZ USWVWZ`S^`UaS`[^cU_a_WV`[_aS`W`W\S`WZ`_Sc_SZV`W^WS`[Z_\TW`cWWZ W

    [^[Z`S^WS`[Z_\TW`cWWZa\\W^SZV[cW^Sc_

    [XZV`W^WS`[Z_\TW`cWWZ`c[[TWU`_SbW`[XZV`W

    SZVS_

    _`W^WS`[Z_\TW`cWWZa\\W^UUa_SW^`USWZ_[Z

    SZV[cW^Sc_cWZ`W`WW`S^WZ[UUa_[Z

    `WUWZ`^U^WS`[ZS_[USWV[^[Z`S^WS`[Z_\

    `_`W^WXW^WZUW\[_`[Z[X`WSZVTW`S`USZTW^[a`ZW

    S__aWVTWVWZ`a[a_\S`WZ`_aZVW^`WV^WU`[Z[X`WVWZ`_`X^[

    `WT[[

  • 8/3/2019 Pros Tho Don Tics Lecture 5

    4/13

    $9 f

    WZ`^U^WS`[Z_`WS[SZVTaS^^WS`[Z_\ZcU

    `WU[ZVW_S^ UaS`Wc``W`ZZW_ SbS_UaS^\[^`[Z[X`W^

    ^W_\WU`bWV__c``WV_[X`W\[^[SZVTaS^[Z`SZV`W

    U[ZVW_ZSZSZ`W^[^_a\W^[^\[_`[ZSYSZ_`S^`UaS^WZWZUW_

    \[^`SZ \[Z`_ST[a`UWZ`^U^WS`[Z

    `_T[ZW`[T[ZW^WS`[Z_\ZVW\WZVWZ`[X`WW`\[_`[Z

    `_^W\^[VaUTWWbWZXcWV[Z SbW`WW`

    `Wa_UWXTW^_S^W^WSWVZ`_\[_`[Z

    [XbW^`USVWZ_[ZZ`_WU`a^WcWU[ZUWZ`^S`W[Z`W[UUa_[Z

    WZ`W\S`WZ`U[W_c [a``WW`[cUSZXZV`W^WS`[Z_\

    TW`cWWZ`Wa\\W^SZV[cW^ScWWTW^ScS_cWa_WS

    YaVWZW`S`\^W_WZ`_TWX[^WSZVSX`W^W`^SU`[ZTWUSa_W`W

    \S`WZ`_U[W_`[WSX`W^W`^SU`[Z_[V[Z`Z[ccS`WW

    TWX[^WZ_[W^S^WUS_W_\S`WZ`_U[Wc`_[W`WW`_[USZV[

    _[WWS_a^WWZ`_a_aS`W\S`WZ`U[W_c`[a``WW`_[

    `WZ[^S^WS`[Z_\_S[_`[_`

    [aZ[cX^[\_[[Y`S`a_UW_ScS_SZVX[^UW^`SZ

    VWY^WW_S^WU[Z`^SU`WV`WSZVTW_SZYWVS``SUWV`[`Wa\\W^

    ScZ[`[Z`^[aY`WTa`c`a_UW_

    WSbW`WS__W`W^[a`_VWWVS\`W^Y[VZ_VWcWSbW

    a_UW_[XS_ US`[ZSZVa_UW_ZX[[^[X`W[a`S``SUWV`[

    `W[VT[ZW

    WZZ[ ^W]a^WV`[UWc_\WS[^_cS[c`WZ`WSZVTW

    _^WSWVSZYZYX`W\S`WZ`__W``ZYa\^Y`a_UW_`S`

    ffffffnfff"

    ffn

    fffn

  • 8/3/2019 Pros Tho Don Tics Lecture 5

    5/13

    $9 f

    [V`WSZVTWa\T`WZ_[Zc``WW\[XY^Sb`cWW\`W

    SZVTWS_\WUXUV_`SZUWScSX^[`Wa\\W^Sc

    WUSa_WcW^WVWSZYc`WVWZ`a[a_\S`WZ`__[ZWWVS

    WS_a^WWZ``S`_\^W_WZ`TWX[^WSZVSX`W^W`^SU`[Za^S

    cWZSZYU[\W`WVWZ`a^W_`[a_W`WU[\W`WVWZ`a^Wc`

    `W`WW`\^W_WZ`[Z``[WW\`W\^[\W^SZV Y`V_`SZUWTW`cWWZ

    a\\W^SZV[cW^Sc_`S`cS_\^W_WZ`TWX[^W`WW`cW^WW`^SU`WV

    XV^ScS\[Z [Z`W`\[X`WZ[_WSZV`W`\[X`WUZ`WZYW`

    S^aW^SZVWS_a^W`WV_`SZUWTW`cWWZ`WUS``WbW^`US

    VWZ_[Z[X[UUa_[Z W\^W_WZ`WVTZ`W\U`a^WTW[c

    __\[^`SZ TWUSa_W_W``W`WW`SUU[^VZY`[`

    X`W^`W`WW`S^W[_`_[_`Ta`cW_`SbW`WbW^`US

    VWZ_[Z[X W_`_[`_`W_SWTWX[^WSZVSX`W^W`^SU`[Z

    bW^`USVWZ [Z[X^W_`_`WV_`SZUWTW`cWWZa\\W^SZV

    [cW^Sc_cWZ`WSZVTW_S`^W_`[a`Z[`[\WZSZVZ[`

    U[_WV

    [Z[cZ[cTa``W_aZZ[cZW^WcWa_W`W

    SbW^SYW`W`[[SZZ[^S\W[\WSZVWS_a^WVSZV

    X[^`WSZVX[aZV`S``WVXXW^WZUWTW`cWWZ`W_W`c[

    _ST[a` Z[X\[\aS`[Z

    `___YZXUSZ`

  • 8/3/2019 Pros Tho Don Tics Lecture 5

    6/13

    $9 f

    _V_`SZUW_USWV`WZ`W^[UUa_SV_`SZUW[^U[[Z

    ^WWcS_\SUWZ[cZS_

    [X[^WVWZ`a[a_\S`WZ`Z[cU[Z_`SZ`SZVTa`

    V[Z`Z[c[[S``__\WW]aS`[Z

    __aW`S`%U%`WZUSZXZV[TWU`bWcU

    _

    %

    WSVWS^WU[^VT[UZ`WSTcUS_ScS^[Z`cS^_

    SVWSUU[^VZY`[`WSbW^SYWWS_a^WWZ`_cWZ\a``WcS^

    Z`W\S`WZ`[a`SZVWS_a^WX^[`\`[`\ _Z[`Z[^

    `_bW^`USVWZ_[Z[XcS^_S__aW`S cWX[aZV %

    `WZcWSbW`[^W[bWcS`[^WSUSUU[^VZY`[`W

    WS\WXcWX[aZV``WZcWSbW`[SVV[XcSZ

    [^VW^`[^WSUcU_`W

    WW`cW^WVW_YZWV`[UWcSZVWbWZVa^ZYUWcZY`WZ[`

    U[WZ`[aUTWUSa_WX`WV[cWWZVa\c`cS`_USWV

    UWZUZYSZVT^a_[`_SZS`a^S\^[`WU [ZZ[^VW^Z[``[a^

    `Wa_UW_SZV[Z`__[`WTWU[WZ`[aU[ZZa`W_

    VS

    W`WW`[Z`[aUZUWcZYSZV_cS[cZY`WSbW^SYW[X

    _cS[cZY_ST[a`VSTa``WSU`aSTWU[WZ`[aUX[^

    W__`SZS_WU[ZV_[`_SU[aZ X[^S[_ Z[`ZY

    XcWYbW`W\S`WZ`S[ZYW^`WW`W __S%`WZcWZ`W

    TWU[WZU[Z`SU`[^W`SZ`W_[aVTWUSa_W`W^W_Z[WZ[aY

    cWSbW

  • 8/3/2019 Pros Tho Don Tics Lecture 5

    7/13

    $9 f

    _\SUWTW`cWWZ`W_[`W^WcTW`WZ_[Z[Za_UW_SZV

    ZXSWVaU[_S

    [`W^WS_[Z_X[^SbZYS^W

    \[ZW`U_

    ^WSZYSc

    `\[X

    WWS_a^ZY`^`[a_W`__aW_`S`V[Z`[bWS[`W`W[^`WTS_W[X`WZ[_WSZV`WTS_W[_W`\[X`WZSZV`W`WUZ

    [X`WUZ`W^_[cWVS\U`a^WX[^Z_`^aWZ`_a_WVX[^

    WS_a^ZYTa Z`WUZUcWa_aSa_WS^aW^

    WSbWcS`_USWV^SZXa^`[^[Z`S\SZW

    `_`W\SZW\S__ZY`^[aY[^T`SWcU_S\\[Z`[Z`W

    VVW[XZXW^[^[^T`S^`[`WW`W^ZSSaV`[^WS`a_W

    _[cZZ`W\U`a^WTW[c

    IfIfJf

    nfnf

    ff

    [c[cUSZZ[c`WU[^^WU \SZW[X`W_a^XSUW[X`W

    cS^Z`W\S`WZ`[a`

  • 8/3/2019 Pros Tho Don Tics Lecture 5

    8/13

    $9 f

    a``_Z[ [a^^WXW^WZUWTWUSa_W`W`WW`S^WZ`S``W_SWWbW

    `WX[[cSUa^bW`WUa^bW[X_\WWSZ`W^[^`WW`S^W[ZYW^`SZ

    \[_`W^[^`WW`

    _[[[[[[[[[[

    Z`WUZUcWa_WcS`_USWVS\W^_\SZWUS\W^_`W

    ZSW[XSVWZ`_`

  • 8/3/2019 Pros Tho Don Tics Lecture 5

    9/13

    $9 f

    `^SYa_ZWS

    X^[`W[cW^T[^VW^[X`WSS[X`WZ[_W`[`W`^SYa_[X`WWS^

    bS^STWTW`cWWZ\S`WZ`_WSZYWTW`cWWZ`WS`^SYa_ZW

    SZV^SZXa^`\SZW_S

    S

    SZ`W^[^cWZWWVS^WXW^WZUWZW`WSZ`W^[^[ZW\S__X^[\a\

    `[\a\`__`WSZ`W^[^^WXW^WZUW`[`WcS

    _[`WcS^\[_`W^[^_[aVTW\S^SWc``WSS`^SYa_

    ZWSZVSZ`W^[^_[aVTW\S^SWc``WZ`W \a\S^ZW

    W\S`WZ`_[aV_[c[X`WZU_SWVYW_`WcS^Z

    WVWZ`a[a_

    [Z[ccWZ[c`WWZY`SZVS_[X`WcS^cW^W[bWcS

    aZ``TWU[W_\S^SW`[

    `WS`^SYa_ZWSZVS``W_SW`W

    _[c_[X`WcS^Z`W^[^X`W^cWZWc`WWZY`[X

    `WcS^cWZWWV`[_a\\[^ `W\_[

    [c[ZY`WcS^_[aVTW

  • 8/3/2019 Pros Tho Don Tics Lecture 5

    10/13

    $9 f

    `WSZYWTW`cWWZ`WU[aWS[X`WZ[_WSZV`W\`^a[X`W\

    _S

    [SVa_ `Wa\\W^cS^`[TW\S^SW`[`WS`^SYa_ZW

    Z`W^\a\S^ZW_[cZY

    TW[c`WU^W_`[X`Wa\\W^\

    [cSX`W^XZ_ZYc``Wa\\W^cW\a``W[cW^[ZWSZV_`S^`

    SVa_`ZY`TSVVZY[^^W[bZYcSS_Z`Wa\\W^

    _aScWSVa_`ZY`Wa\\W^^X[^W_`W`U_\[ZW`U_SZV

    [UUa_S\SZW`WZcW\a``W[cW^^SZV_`S^`SVVZY[^^W[bZY

    cSSUU[^VZY`[[a^

    WZW``c[\SYW_U[Z`SZUS__XUS`[Z[X\^W__[ZS`W^S_

    SZV`STW_X[^S`W^S_a_WVZT[`\^S^SZV_WU[ZVS^

    \^W__[Z_

  • 8/3/2019 Pros Tho Don Tics Lecture 5

    11/13

    $9 f

  • 8/3/2019 Pros Tho Don Tics Lecture 5

    12/13

    $9 f

    S`W^S_X[^`SZY\^S^\^W__[Z_

    fffVbSZ`SYW_S`W^S

    f

    f%f

    f%

    f

    fn

    nfn

    ff

    f

    fnnf

    f

    9ff

    f

    f

    ,

    f

    -ffn

    n

    n

    fnnf

    ff

    fn

    S`W^S_X[^`SZY_WU[ZVS^\^W__[Z_

    fffVbSZ`SYW_S`W^S

    f

    n

    f

    f

    nn

    ff%f

    f

    fnfn

    nf

    %

    n

    fnnf

    ff

    fn

  • 8/3/2019 Pros Tho Don Tics Lecture 5

    13/13

    $9 f