.address {
    display: block;
    font-family: sans-serif;
    font-size: 0.75em;
    font-weight: bold;
    margin-bottom: 2em;
    margin-top: 0;
    text-align: center;
    text-indent: 0
    }
.address1 {
    display: block;
    font-family: sans-serif;
    font-size: 0.75em;
    font-weight: bold;
    margin-bottom: 15em;
    margin-top: 0;
    text-align: center;
    text-indent: 0
    }
.alphaa {
    display: block;
    padding-top: 2%;
    text-align: justify;
    text-indent: -1.8em;
    margin: 0
    }
.alphab {
    display: block;
    padding-top: 2%;
    text-align: justify;
    text-indent: -1.87em;
    margin: 0
    }
.alphad {
    display: block;
    padding-top: 2%;
    text-align: justify;
    text-indent: -1.85em;
    margin: 0
    }
.alphad1 {
    display: block;
    padding-top: 2%;
    text-align: justify;
    text-indent: -1.85em;
    margin: 0 0 1.5em
    }
.alphaf {
    display: block;
    padding-top: 2%;
    text-align: justify;
    text-indent: -1.75em;
    margin: 0
    }
.alphag {
    display: block;
    padding-top: 2%;
    text-align: justify;
    text-indent: -1.92em;
    margin: 0
    }
.alphai {
    display: block;
    padding-top: 2%;
    text-align: justify;
    text-indent: -1.68em;
    margin: 0
    }
.alphal {
    display: block;
    padding-top: 2%;
    text-align: justify;
    text-indent: -1.62em;
    margin: 0
    }
.alpham {
    display: block;
    padding-top: 2%;
    text-align: justify;
    text-indent: -2.1em;
    margin: 0
    }
.alphao {
    display: block;
    padding-top: 2%;
    text-align: justify;
    text-indent: -1.88em;
    margin: 0
    }
.author {
    display: block;
    font-family: sans-serif;
    font-size: 1.125em;
    line-height: 1.2;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    white-space: nowrap
    }
.bibitem {
    display: block;
    font-size: 0.75em;
    margin-bottom: 0;
    margin-top: 0;
    text-indent: -1.72em
    }
.bibitem1 {
    display: block;
    font-size: 0.75em;
    margin-bottom: 0;
    margin-top: 0;
    text-indent: -2.17em
    }
.bibitem2 {
    display: block;
    font-size: 0.75em;
    margin-bottom: 0;
    margin-top: 0;
    text-indent: -2.57em
    }
.calibre {
    display: block;
    font-size: 1em;
    padding-left: 0;
    padding-right: 0;
    text-align: justify;
    margin: 0 5pt
    }
.calibre1 {
    height: auto;
    width: auto
    }
.calibre2 {
    text-decoration: none
    }
.calibre3 {
    display: block
    }
.calibre4 {
    line-height: 1.2
    }
.calibre5 {
    line-height: 1.2;
    text-decoration: none
    }
.calibre6 {
    display: block;
    margin-left: 1.58em
    }
.calibre7 {
    display: block;
    margin-bottom: 0;
    margin-left: 2.32em;
    padding-left: 1.58em
    }
.calibre8 {
    display: block;
    margin-bottom: 0;
    margin-left: 3.02em;
    padding-left: 3.9em
    }
.calibre9 {
    display: block;
    margin-bottom: 1em;
    margin-left: 2.32em;
    padding-left: 1.58em
    }
.calibre10 {
    display: block;
    margin-left: 2.32em
    }
.calibre11 {
    display: block;
    margin-bottom: 1em;
    margin-left: 1.93em
    }
.calibre12 {
    display: block;
    margin-left: 1.87em
    }
.calibre13 {
    display: block;
    margin-left: 0.6em
    }
.calibre14 {
    display: block;
    margin-left: 6.1em
    }
.calibre15 {
    border-collapse: separate;
    border-spacing: 2px;
    display: table;
    margin-bottom: 0;
    margin-top: 0;
    padding-left: 0%;
    padding-right: 0%;
    text-align: left;
    text-indent: 0
    }
.calibre16 {
    display: table-column-group
    }
.calibre17 {
    display: table-column
    }
.calibre18 {
    display: table-row;
    vertical-align: middle
    }
.calibre19 {
    display: table-cell;
    text-align: inherit;
    vertical-align: inherit;
    padding: 1px
    }
.calibre20 {
    height: auto;
    text-align: center;
    width: auto
    }
.calibre21 {
    display: block;
    margin-left: 6em
    }
.calibre22 {
    color: gray;
    display: block;
    height: 2px;
    margin: 0.5em auto;
    border: currentColor inset 1px
    }
.calibre23 {
    display: block;
    margin-bottom: 0;
    margin-left: 1.1em
    }
.calibre24 {
    font-size: 0.75em;
    line-height: normal;
    vertical-align: sub
    }
.calibre25 {
    display: block;
    margin-left: 1.4em;
    padding-left: 0.5em
    }
.calibre26 {
    display: block;
    margin-left: 6.5em
    }
.calibre27 {
    display: block;
    margin-bottom: 0;
    margin-left: 1.9em
    }
.calibre28 {
    display: block;
    margin-left: 2.2em
    }
.calibre29 {
    display: block;
    margin-bottom: 0;
    margin-left: 1.4em
    }
.calibre30 {
    display: block;
    margin-left: 1.4em
    }
.calibre31 {
    display: table-cell;
    text-align: inherit;
    vertical-align: bottom;
    padding: 1px
    }
.calibre32 {
    display: block;
    margin-left: 3em
    }
.calibre33 {
    display: block;
    margin-left: 7em
    }
.calibre34 {
    display: block;
    margin-bottom: 1em;
    margin-left: 2.43em
    }
.calibre35 {
    display: block;
    margin-left: 1.9em
    }
.calibre36 {
    display: block;
    margin-left: 2.75em
    }
.calibre37 {
    display: table-cell;
    text-align: inherit;
    vertical-align: top;
    padding: 1px
    }
.calibre38 {
    display: block;
    margin-left: 2.47em
    }
.calibre39 {
    display: block;
    margin-left: 1.72em;
    padding-left: 0.85em
    }
.calibre40 {
    display: block;
    margin-left: 2.17em;
    padding-left: 0.4em
    }
.calibre41 {
    display: block;
    margin-left: 2.57em
    }
.centerline {
    display: block;
    text-align: center
    }
.copy {
    display: block;
    font-size: 1em;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0
    }
.copya {
    display: block;
    font-size: 1em;
    margin-bottom: 0.5em;
    margin-top: 0;
    text-align: center;
    text-indent: 0
    }
.copyb {
    display: block;
    font-size: 1em;
    margin-bottom: 1em;
    margin-top: 0;
    text-align: center;
    text-indent: 0
    }
.dedication {
    display: block;
    font-size: 1em;
    font-weight: bold;
    text-align: center;
    text-indent: 0;
    margin: 25% 3% 3%
    }
.disp-quote {
    display: block;
    font-size: 0.75em;
    margin-bottom: 1em;
    margin-left: 2em;
    margin-top: 1em;
    text-align: justify;
    text-indent: 0
    }
.eq {
    display: block;
    margin-bottom: 1em;
    margin-left: 0;
    margin-top: 1em;
    page-break-inside: avoid;
    text-indent: 0
    }
.equation-label {
    display: block;
    font-size: 1em;
    padding-top: 2%;
    text-align: right;
    text-indent: 0;
    margin: 0
    }
.equation-label1 {
    display: block;
    font-size: 1em;
    text-align: right;
    text-indent: 0;
    margin: 0 0 0 40px
    }
.fcaption {
    display: block;
    font-size: 0.75em;
    padding-top: 2%;
    text-align: justify;
    text-indent: 0;
    margin: 0 0 1.5em 1em
    }
.fig-caption {
    display: block;
    font-size: 0.75em;
    padding-top: 2%;
    text-align: center;
    text-indent: 0;
    margin: 0 0 1.5em
    }
.figure {
    display: block;
    margin-left: auto;
    margin-right: auto
    }
.fnote {
    display: block;
    font-size: 0.75em;
    padding-top: 2%;
    text-align: justify;
    text-indent: -1.1em;
    margin: 0 0 1em
    }
.half-title {
    display: block;
    font-family: sans-serif;
    font-size: 1.125em;
    font-weight: bold;
    line-height: 1.2;
    padding-bottom: 0.2em;
    text-align: center;
    text-indent: 0%;
    margin: 10% 0 2em;
    border-bottom: #818284 solid 6px
    }
.hang {
    display: block;
    padding-top: 2%;
    text-align: justify;
    text-indent: -1.5em;
    margin: 0
    }
.indent {
    display: block;
    padding-top: 2%;
    text-indent: 1.5em;
    margin: 1em 0
    }
.index {
    display: block;
    font-size: 0.75em;
    margin-left: 1em;
    text-indent: -1em;
    padding: 0%
    }
.index-list {
    display: block;
    margin-top: 1em;
    text-align: left
    }
.index1 {
    display: block;
    font-size: 0.75em;
    margin-left: 40pt;
    text-indent: -18pt;
    padding: 0%
    }
.index2 {
    display: block;
    font-size: 0.75em;
    margin-left: 55pt;
    text-indent: -18pt;
    padding: 0%
    }
.itemize {
    display: block;
    list-style-type: disc;
    margin-bottom: 0;
    margin-right: 0;
    margin-top: 0;
    text-align: left;
    text-indent: 0
    }
.itemize1 {
    display: list-item;
    margin-bottom: 0;
    margin-left: 0;
    margin-top: 0;
    text-align: justify;
    text-indent: 0
    }
.label {
    font-size: 0.85em;
    font-weight: bold;
    line-height: 1.2;
    padding-right: 20px
    }
.label1 {
    font-size: 0.79412em;
    font-weight: bold;
    line-height: 1.2;
    padding-right: 20px
    }
.label2 {
    font-size: 0.88889em;
    font-weight: bold;
    padding-right: 20px
    }
.lcaption {
    display: block;
    font-size: 0.75em;
    padding-top: 2%;
    text-align: left;
    text-indent: 0;
    margin: 0 0 0.5em
    }
.logo {
    display: block;
    margin-top: 10%;
    text-align: center;
    text-indent: 0
    }
.math_ {
    height: auto;
    vertical-align: middle;
    width: auto;
    border-top: currentColor none 0;
    border-right: currentColor none 0;
    border-left: currentColor none 0
    }
.math_1 {
    height: auto;
    vertical-align: middle;
    width: auto
    }
.math_2 {
    height: auto;
    text-align: center;
    vertical-align: middle;
    width: auto
    }
.math_3 {
    height: auto;
    line-height: 1.2;
    vertical-align: middle;
    width: auto
    }
.math_4 {
    height: 128px;
    vertical-align: middle;
    width: 607px
    }
.math_5 {
    height: 124px;
    vertical-align: middle;
    width: 645px
    }
.math-display {
    display: block;
    padding-top: 2%;
    text-align: center;
    text-indent: 0%;
    margin: 0
    }
.math-display1 {
    height: 18px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 109px
    }
.math-display2 {
    height: 18px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 179px
    }
.math-display3 {
    height: 18px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 94px
    }
.math-display4 {
    height: 18px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 115px
    }
.math-display5 {
    height: 40px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 215px
    }
.math-display6 {
    height: 40px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 410px
    }
.math-display7 {
    height: 19px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 285px
    }
.math-display8 {
    height: 55px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 85px
    }
.math-display9 {
    height: 56px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 97px
    }
.math-display10 {
    height: 63px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 232px
    }
.math-display11 {
    height: 18px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 130px
    }
.math-display12 {
    height: 18px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 166px
    }
.math-display13 {
    height: 18px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 202px
    }
.math-display14 {
    height: 13px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 57px
    }
.math-display15 {
    height: 12px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 65px
    }
.math-display16 {
    height: 19px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 259px
    }
.math-display17 {
    height: 45px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 129px
    }
.math-display18 {
    height: 89px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 221px
    }
.math-display19 {
    height: 20px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 95px
    }
.math-display20 {
    height: 18px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 218px
    }
.math-display21 {
    height: 17px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 233px
    }
.math-display22 {
    display: block;
    text-align: center;
    text-indent: 0;
    margin: 0
    }
.math-display23 {
    height: 17px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 439px
    }
.math-display24 {
    height: 22px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 302px
    }
.math-display25 {
    height: 52px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 302px
    }
.math-display26 {
    height: 21px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 238px
    }
.math-display27 {
    height: 14px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 202px
    }
.math-display28 {
    height: 15px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 202px
    }
.math-display29 {
    height: 13px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 202px
    }
.math-display30 {
    height: 12px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 202px
    }
.math-display31 {
    height: 14px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 41px
    }
.math-display32 {
    height: 14px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 57px
    }
.math-display33 {
    height: 14px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 42px
    }
.math-display34 {
    height: 42px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 185px
    }
.math-display35 {
    height: 18px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 129px
    }
.math-display36 {
    height: 22px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 220px
    }
.math-display37 {
    height: 21px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 218px
    }
.math-display38 {
    height: 22px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 223px
    }
.math-display39 {
    height: 44px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 597px
    }
.math-display40 {
    height: 16px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 218px
    }
.math-display41 {
    height: 15px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 218px
    }
.math-display42 {
    height: 17px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 149px
    }
.math-display43 {
    height: 17px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 49px
    }
.math-display44 {
    height: 39px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 97px
    }
.math-display45 {
    height: 42px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 97px
    }
.math-display46 {
    height: 44px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 576px
    }
.math-display47 {
    height: 15px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 196px
    }
.math-display48 {
    height: 14px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 196px
    }
.math-display49 {
    height: 16px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 135px
    }
.math-display50 {
    height: 17px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 84px
    }
.math-display51 {
    height: 38px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 83px
    }
.math-display52 {
    height: 79px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 367px
    }
.math-display53 {
    height: 14px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 218px
    }
.math-display54 {
    height: 19px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 138px
    }
.math-display55 {
    height: 20px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 138px
    }
.math-display56 {
    height: 39px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 69px
    }
.math-display57 {
    height: 45px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 183px
    }
.math-display58 {
    height: 22px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 162px
    }
.math-display59 {
    height: 17px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 102px
    }
.math-display60 {
    height: 16px;
    margin-bottom: 0;
    margin-top: 0;
    text-align: center;
    text-indent: 0;
    width: 224px
    }
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