Epigraph (mathematics)
In mathematics, the epigraph of a function is the set of paired values so the output of the function at the first value is less than or equal to the second value. In math terms this means [math]\displaystyle{ (x,r) \in \operatorname{epi}(f) }[/math] if and only if [math]\displaystyle{ f(x) \leq r }[/math].
Epigraph (mathematics) Media
- Error creating thumbnail: About to transcode 1 SVG file(s)
Converting Epigraph.svg to /var/www/html/w/images/temp/transform_bd38c163a796.png ... org.apache.batik.transcoder.TranscoderException: null Enclosed Exception: file:/var/www/html/w/images/temp/svg_2e96940dcd0f4f3e72c21fb1/Epigraph.svg:-1 Cannot find the referenced element: "file:/var/www/html/w/images/temp/svg_2e96940dcd0f4f3e72c21fb1/Epigraph.svg#clip1" specified on the element <g> - may be a problem of 'id' at org.apache.batik.transcoder.SVGAbstractTranscoder.transcode(SVGAbstractTranscoder.java:228) at org.apache.batik.transcoder.image.ImageTranscoder.transcode(ImageTranscoder.java:92) at org.apache.batik.transcoder.XMLAbstractTranscoder.transcode(XMLAbstractTranscoder.java:142) at org.apache.batik.transcoder.SVGAbstractTranscoder.transcode(SVGAbstractTranscoder.java:158) at org.apache.batik.apps.rasterizer.SVGConverter.transcode(SVGConverter.java:1008) at org.apache.batik.apps.rasterizer.SVGConverter.execute(SVGConverter.java:719) at org.apache.batik.apps.rasterizer.Main.execute(Main.java:956) at org.apache.batik.apps.rasterizer.Main.main(Main.java:1009) Caused by: org.apache.batik.bridge.BridgeException: file:/var/www/html/w/images/temp/svg_2e96940dcd0f4f3e72c21fb1/Epigraph.svg:-1 Cannot find the referenced element: "file:/var/www/html/w/images/temp/svg_2e96940dcd0f4f3e72c21fb1/Epigraph.svg#clip1" specified on the element <g> - may be a problem of 'id' at org.apache.batik.bridge.BridgeContext.getReferencedNode(BridgeContext.java:762) at org.apache.batik.bridge.BridgeContext.getReferencedElement(BridgeContext.java:804) at org.apache.batik.bridge.CSSUtilities.convertClipPath(CSSUtilities.java:718) at org.apache.batik.bridge.AbstractGraphicsNodeBridge.buildGraphicsNode(AbstractGraphicsNodeBridge.java:146) at org.apache.batik.bridge.GVTBuilder.buildGraphicsNode(GVTBuilder.java:224) at org.apache.batik.bridge.GVTBuilder.buildComposite(GVTBuilder.java:171) at org.apache.batik.bridge.GVTBuilder.buildGraphicsNode(GVTBuilder.java:219) at org.apache.batik.bridge.GVTBuilder.buildComposite(GVTBuilder.java:171) at org.apache.batik.bridge.GVTBuilder.build(GVTBuilder.java:82) at org.apache.batik.transcoder.SVGAbstractTranscoder.transcode(SVGAbstractTranscoder.java:210) ... 7 more ... error (SVGConverter.error.while.rasterizing.file)
epigraph of a function