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< title > simpleAutoDiff< / title >
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< div class = "main-content" id = "content" pageids = "kmath-core::space.kscience.kmath.expressions//simpleAutoDiff/TypeParam(bounds=[space.kscience.kmath.operations.Field[TypeParam(bounds=[kotlin.Any])]])#kotlin.collections.Map[space.kscience.kmath.expressions.Symbol,TypeParam(bounds=[kotlin.Any])]#kotlin.Function1[space.kscience.kmath.expressions.SimpleAutoDiffField[TypeParam(bounds=[kotlin.Any]),TypeParam(bounds=[space.kscience.kmath.operations.Field[TypeParam(bounds=[kotlin.Any])]])],space.kscience.kmath.expressions.AutoDiffValue[TypeParam(bounds=[kotlin.Any])]]/PointingToDeclaration//244675578" >
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< div class = "breadcrumbs" > < a href = "../index.html" > kmath-core< / a > /< a href = "index.html" > space.kscience.kmath.expressions< / a > /< a href = "simple-auto-diff.html" > simpleAutoDiff< / a > < / div >
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< div class = "pull-right d-flex" >
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< div class = "filter-section" id = "filter-section" > < button class = "platform-tag platform-selector common-like" data-active = "" data-filter = ":kmath-core:dokkaHtmlPartial/commonMain" > common< / button > < / div >
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< h1 class = "cover" > < span > simple< / span > < wbr > < span > Auto< / span > < wbr > < span > Diff< / span > < / h1 >
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< / div >
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< div class = "divergent-group" data-filterable-current = ":kmath-core:dokkaHtmlPartial/commonMain" data-filterable-set = ":kmath-core:dokkaHtmlPartial/commonMain" > < div class = "with-platform-tags" > < span class = "pull-right" > < / span > < / div >
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< div >
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< div class = "platform-hinted " data-platform-hinted = "data-platform-hinted" > < div class = "content sourceset-depenent-content" data-active = "" data-togglable = ":kmath-core:dokkaHtmlPartial/commonMain" > < div class = "symbol monospace" > fun < < a href = "simple-auto-diff.html" > T< / a > : < a href = "https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-any/index.html" > Any< / a > , < a href = "simple-auto-diff.html" > F< / a > : < a href = "../space.kscience.kmath.operations/-field/index.html" > Field< / a > < < a href = "simple-auto-diff.html" > T< / a > > > < a href = "simple-auto-diff.html" > F< / a > .< a href = "simple-auto-diff.html" > simpleAutoDiff< / a > (bindings: < a href = "https://kotlinlang.org/api/latest/jvm/stdlib/kotlin.collections/-map/index.html" > Map< / a > < < a href = "-symbol/index.html" > Symbol< / a > , < a href = "simple-auto-diff.html" > T< / a > > , body: < a href = "-simple-auto-diff-field/index.html" > SimpleAutoDiffField< / a > < < a href = "simple-auto-diff.html" > T< / a > , < a href = "simple-auto-diff.html" > F< / a > > .() -> < a href = "-auto-diff-value/index.html" > AutoDiffValue< / a > < < a href = "simple-auto-diff.html" > T< / a > > ): < a href = "-derivation-result/index.html" > DerivationResult< / a > < < a href = "simple-auto-diff.html" > T< / a > > < span class = "top-right-position" > < span class = "copy-icon" > < / span > < div class = "copy-popup-wrapper popup-to-left" > < span class = "copy-popup-icon" > < / span > < span > Content copied to clipboard< / span > < / div > < / span > < / div > < / div > < / div >
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< / div >
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< p class = "paragraph" > Runs differentiation and establishes < a href = "-simple-auto-diff-field/index.html" > SimpleAutoDiffField< / a > context inside the block of code.< / p > < p class = "paragraph" > The partial derivatives are placed in argument < code > d< / code > variable< / p > < p class = "paragraph" > Example:< / p > < div class = "sample-container" > < code class = "" theme = "idea" > < pre > val x by symbol // define variable(s) and their values< br > val y = DoubleField.withAutoDiff() { sqr(x) + 5 * x + 3 } // write formulate in deriv context< br > assertEquals(17.0, y.x) // the value of result (y)< br > assertEquals(9.0, x.d) // dy/dx< / pre > < / code > < / div > < h4 class = "" > Return< / h4 > < p class = "paragraph" > the result of differentiation.< / p > < h2 class = "" > Parameters< / h2 > < div data-togglable = "Parameters" > < div class = "platform-hinted WithExtraAttributes" data-platform-hinted = "data-platform-hinted" data-togglable = "Parameters" > < div class = "content sourceset-depenent-content" data-active = "" data-togglable = ":kmath-core:dokkaHtmlPartial/commonMain" > < div data-togglable = "Parameters" > < div class = "table" data-togglable = "Parameters" > < div class = "table-row" data-filterable-current = ":kmath-core:dokkaHtmlPartial/commonMain" data-filterable-set = ":kmath-core:dokkaHtmlPartial/commonMain" > < div class = "main-subrow keyValue WithExtraAttributes" > < div class = "" > < span class = "inline-flex" > body< / span > < / div > < div > < div class = "title" > < div data-togglable = "Parameters" > < p class = "paragraph" > the action in < a href = "-simple-auto-diff-field/index.html" > SimpleAutoDiffField< / a > context returning < a href = "-auto-diff-value/index.html" > AutoDiffValue< / a > to differentiate with respect to.< / p > < / div > < / div > < / div > < / div > < / div > < / div > < / div > < / div > < / div > < / div > < / div >
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< div class = "divergent-group" data-filterable-current = ":kmath-core:dokkaHtmlPartial/commonMain" data-filterable-set = ":kmath-core:dokkaHtmlPartial/commonMain" > < div class = "with-platform-tags" > < span class = "pull-right" > < / span > < / div >
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< div >
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< div class = "platform-hinted " data-platform-hinted = "data-platform-hinted" > < div class = "content sourceset-depenent-content" data-active = "" data-togglable = ":kmath-core:dokkaHtmlPartial/commonMain" > < div class = "symbol monospace" > fun < < a href = "simple-auto-diff.html" > T< / a > : < a href = "https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-any/index.html" > Any< / a > , < a href = "simple-auto-diff.html" > F< / a > : < a href = "../space.kscience.kmath.operations/-field/index.html" > Field< / a > < < a href = "simple-auto-diff.html" > T< / a > > > < a href = "simple-auto-diff.html" > F< / a > .< a href = "simple-auto-diff.html" > simpleAutoDiff< / a > (vararg bindings: < a href = "https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-pair/index.html" > Pair< / a > < < a href = "-symbol/index.html" > Symbol< / a > , < a href = "simple-auto-diff.html" > T< / a > > , body: < a href = "-simple-auto-diff-field/index.html" > SimpleAutoDiffField< / a > < < a href = "simple-auto-diff.html" > T< / a > , < a href = "simple-auto-diff.html" > F< / a > > .() -> < a href = "-auto-diff-value/index.html" > AutoDiffValue< / a > < < a href = "simple-auto-diff.html" > T< / a > > ): < a href = "-derivation-result/index.html" > DerivationResult< / a > < < a href = "simple-auto-diff.html" > T< / a > > < span class = "top-right-position" > < span class = "copy-icon" > < / span > < div class = "copy-popup-wrapper popup-to-left" > < span class = "copy-popup-icon" > < / span > < span > Content copied to clipboard< / span > < / div > < / span > < / div > < / div > < / div >
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< div class = "divergent-group" data-filterable-current = ":kmath-core:dokkaHtmlPartial/commonMain" data-filterable-set = ":kmath-core:dokkaHtmlPartial/commonMain" > < div class = "with-platform-tags" > < span class = "pull-right" > < / span > < / div >
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< div >
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< div class = "platform-hinted " data-platform-hinted = "data-platform-hinted" > < div class = "content sourceset-depenent-content" data-active = "" data-togglable = ":kmath-core:dokkaHtmlPartial/commonMain" > < div class = "symbol monospace" > fun < < a href = "simple-auto-diff.html" > T< / a > : < a href = "https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-any/index.html" > Any< / a > , < a href = "simple-auto-diff.html" > F< / a > : < a href = "../space.kscience.kmath.operations/-field/index.html" > Field< / a > < < a href = "simple-auto-diff.html" > T< / a > > > < a href = "simple-auto-diff.html" > simpleAutoDiff< / a > (field: < a href = "simple-auto-diff.html" > F< / a > ): < a href = "-auto-diff-processor/index.html" > AutoDiffProcessor< / a > < < a href = "simple-auto-diff.html" > T< / a > , < a href = "-auto-diff-value/index.html" > AutoDiffValue< / a > < < a href = "simple-auto-diff.html" > T< / a > > , < a href = "-simple-auto-diff-field/index.html" > SimpleAutoDiffField< / a > < < a href = "simple-auto-diff.html" > T< / a > , < a href = "simple-auto-diff.html" > F< / a > > > < span class = "top-right-position" > < span class = "copy-icon" > < / span > < div class = "copy-popup-wrapper popup-to-left" > < span class = "copy-popup-icon" > < / span > < span > Content copied to clipboard< / span > < / div > < / span > < / div > < / div > < / div >
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< p class = "paragraph" > Generate < a href = "-auto-diff-processor/index.html" > AutoDiffProcessor< / a > for < a href = "-simple-auto-diff-expression/index.html" > SimpleAutoDiffExpression< / a > < / p > < / div >
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