Generalized complex structure - Revision history

en>John of Reading: /* The generalized tangent bundle */Typo/general fixing, replaced: Viceversa → Vice versa using AWB

2015-01-04T12:22:17Z

The generalized tangent bundle: Typo/general fixing, replaced: Viceversa → Vice versa using AWB

← Older revision		Revision as of 14:22, 4 January 2015
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	~~[[File:Graph (PSF).png\|thumb\|220px\|This simple graph shows data over intervals with connected points]]~~		Oscar is how he's known as and he totally loves this name. Minnesota is exactly where he's been living for many years. Hiring is her day job now and she will not alter it anytime soon. Doing ceramics is what my family and I appreciate.<br><br>Here is my page - [http://chatmast.com/index.php?do=/BookerSipessk/info/ at home std testing]
	A '''line chart''' or '''line graph''' is a type of [[chart]] which displays information as a series of data points called 'markers' connected by straight [[wikt:line\|line]] segments.<ref>Burton G. Andreas (1965). ''Experimental psychology''. p.186</ref> It is a basic type of [[chart]] common in many fields. It is similar to a [[scatter plot]] except that the measurement points are ordered (typically by their x-axis value) and joined with straight line segments. '''Line Charts show how a particular data changes at equal intervals of time'''. A line chart is often used to visualize a trend in data over intervals of time – a [[time series]] – thus the line is often drawn chronologically. <ref>Neil J. Salkind (2006). ''Statistics for People who (think They) Hate Statistics: The Excel Edition''. page 106.</ref>

	~~== Structure ==~~

	~~A line chart is typically drawn bordered by two perpendicular lines, called ''axes''. The horizontal axis is called the ''x-axis'~~' and ~~the vertical axis is called the ''y-axis''~~. ~~To aid visual measurement, there may be additional lines drawn parallel to either axis. If lines are drawn parallel to both axes, the resulting lattice~~ is ~~called a '~~'~~grid''.~~

	Each axis represents one of the data quantities to be plotted. Typically the y-axis represents the [[dependent variable]] and the x-axis (sometimes called the [[abscissa]]) represents the [[independent variable]]. The chart can then be referred to as a graph of ``Quantity one versus quantity two'', plotting quantity one up the y-axis and quantity two along the x-axis.

	~~The individual axes represent [[number line]]~~s ~~and so may contain small marks, called ''ticks'', indicating significant values on the line~~. ~~The ticks may be annotated with the value they represent. A short description of the axis~~ is ~~often used to annotate each axis, usually in the pattern ``Physical Quantity (physical unit)''. These annotations are called ''labels''.~~

	~~The chart may contain an overall description called a ''title'',~~ and ~~if the chart contains more than one line,~~ it ~~may also contain a list describing each line, called a ''key'' or a ''legend''~~.

	~~Finally, the data to be presented~~ is ~~plotted at the intersection of the (imaginary) perpendicular lines extending from the axes,~~ and ~~straight line segments are drawn between those intersection points.~~

	~~== Example ==~~
	In the experimental sciences, data collected from experiments are often visualized by a graph. For example, if one were to collect data on the speed of a body at certain points in time, one could visualize the data by a [[data table]] such as the following:
	~~[[Image:ScientificGraphSpeedVsTime~~.~~svg\|thumb\|300px\|Graph of Speed Vs Time]]~~
	~~{\| class="wikitable"~~
	~~! Elapsed Time (s)~~
	~~! Speed (m s~~<~~sup~~>−1<~~/sup~~>)
	\|-
	~~\| 0~~
	~~\| 0~~
	\|-
	~~\| 1~~
	~~\| 3~~
	\|-
	~~\| 2~~
	~~\| 7~~
	\|-
	~~\| 3~~
	~~\| 12~~
	\|-
	~~\| 4~~
	~~\| 20~~
	\|-
	~~\| 5~~
	~~\| 30~~
	\|-
	~~\| 6~~
	~~\| 45~~
	\|}

	~~The table "visualization"~~ is a great way of displaying exact values, but can be a poor way to understand the underlying patterns that those values represent. Because of these qualities, the table display is often erroneously conflated with the data itself; whereas it is just another visualization of the data.

	~~Understanding the process described by the data in the table is aided by producing a graph or line chart of ''Speed versus Time''. Such a visualisation appears in the figure to the right.~~

	Mathematically, if we denote time by the variable <math>t</math>, and speed by <math>v</math>, then the function plotted in the graph would be denoted <math>v(t)</math> indicating that <math>v</math> (the dependent variable) is a function of <math>t</math>.

	~~== Best~~-~~fit ==~~
	~~Charts often include an overlaid mathematical function depicting the~~ [~~[best-fit]] trend of the scattered data. This layer is referred to as a best-fit layer and the graph containing this layer is often referred to as a line graph.~~

	It is simple to construct a "best-fit" layer consisting of a set of line segments connecting adjacent data points; however, such a "best-fit" is usually not an ideal representation of the trend of the underlying scatter data for the following reasons:

	~~# It is highly improbable that the discontinuities in the slope of the best-fit would correspond exactly with the positions of the measurement values~~.
	~~# It is highly unlikely that the experimental error in the data is negligible, yet the curve falls exactly through each of the data points.~~

	In either case, the best-fit layer can reveal trends in the data. Further, measurements such as the [[gradient]] or the area under the curve can be made visually, leading to more conclusions or results from the data.

	A true best-fit layer should depict a continuous mathematical function whose parameters are determined by using a suitable error-minimization scheme, which appropriately weights the error in the data values. Such [[curve fitting]] functionality is often found in [[list of graphing software\|graphing software]] or [[spreadsheet]]s. ~~Best-fit curves may vary from simple [[linear equation]]s to more complex quadratic, polynomial, exponential, and periodic curves.<ref>{{cite web\|title=Curve fitting\|url~~=~~http:~~//~~physics.~~info/~~curve-fitting/\|work=The Physics Hypertextbook}}</ref>~~

	~~==See also==~~
	~~{{Commons category\|Line charts}}~~
	* [[Fan chart (time series)]]
	* [[List of information graphics software]]
	* [[Curve fitting]]

	~~==References==~~
	~~{{reflist}}~~

	~~[[Category:Quality control tools]]~~
	~~[[Category:Statistical charts and diagrams]]~~
	~~[[Category:Financial charts]~~]

93.31.174.15: Calabi-yau versus himself?

2014-01-20T22:10:54Z

Calabi-yau versus himself?

← Older revision		Revision as of 00:10, 21 January 2014
Line 1:		Line 1:
	~~Oscar~~ is ~~what my spouse enjoys~~ to ~~contact me~~ and ~~I completely dig that name~~. ~~One~~ of ~~the very best things~~ in the ~~globe~~ for ~~him~~ is to ~~collect badges but he~~ is ~~struggling~~ to ~~find time for~~ it. For ~~many years he'~~s ~~been working as~~ a ~~receptionist~~. ~~South Dakota~~ is ~~exactly where me and my spouse live and my family members enjoys~~ it.<br><br>~~Also visit my web site :~~: [~~https://www~~.~~machlitim~~.~~org~~.il/~~subdomain~~/~~megila~~/~~end~~/~~node~~/~~9243 std home test~~]		[[File:Graph (PSF).png\|thumb\|220px\|This simple graph shows data over intervals with connected points]]
			A '''line chart''' or '''line graph''' is a type of [[chart]] which displays information as a series of data points called 'markers' connected by straight [[wikt:line\|line]] segments.<ref>Burton G. Andreas (1965). ''Experimental psychology''. p.186</ref> It is a basic type of [[chart]] common in many fields. It is similar to a [[scatter plot]] except that the measurement points are ordered (typically by their x-axis value) and joined with straight line segments. '''Line Charts show how a particular data changes at equal intervals of time'''. A line chart is often used to visualize a trend in data over intervals of time – a [[time series]] – thus the line is often drawn chronologically. <ref>Neil J. Salkind (2006). ''Statistics for People who (think They) Hate Statistics: The Excel Edition''. page 106.</ref>

			== Structure ==

			A line chart is typically drawn bordered by two perpendicular lines, called ''axes''. The horizontal axis is called the ''x-axis'' and the vertical axis is called the ''y-axis''. To aid visual measurement, there may be additional lines drawn parallel to either axis. If lines are drawn parallel to both axes, the resulting lattice is called a ''grid''.

			Each axis represents one of the data quantities to be plotted. Typically the y-axis represents the [[dependent variable]] and the x-axis (sometimes called the [[abscissa]]) represents the [[independent variable]]. The chart can then be referred to as a graph of ``Quantity one versus quantity two'', plotting quantity one up the y-axis and quantity two along the x-axis.

			The individual axes represent [[number line]]s and so may contain small marks, called ''ticks'', indicating significant values on the line. The ticks may be annotated with the value they represent. A short description of the axis is often used to annotate each axis, usually in the pattern ``Physical Quantity (physical unit)''. These annotations are called ''labels''.

			The chart may contain an overall description called a ''title'', and if the chart contains more than one line, it may also contain a list describing each line, called a ''key'' or a ''legend''.

			Finally, the data to be presented is plotted at the intersection of the (imaginary) perpendicular lines extending from the axes, and straight line segments are drawn between those intersection points.

			== Example ==
			In the experimental sciences, data collected from experiments are often visualized by a graph. For example, if one were to collect data on the speed of a body at certain points in time, one could visualize the data by a [[data table]] such as the following:
			[[Image:ScientificGraphSpeedVsTime.svg\|thumb\|300px\|Graph of Speed Vs Time]]
			{\| class="wikitable"
			! Elapsed Time (s)
			! Speed (m s<sup>−1</sup>)
			\|-
			\| 0
			\| 0
			\|-
			\| 1
			\| 3
			\|-
			\| 2
			\| 7
			\|-
			\| 3
			\| 12
			\|-
			\| 4
			\| 20
			\|-
			\| 5
			\| 30
			\|-
			\| 6
			\| 45
			\|}

			The table "visualization" is a great way of displaying exact values, but can be a poor way to understand the underlying patterns that those values represent. Because of these qualities, the table display is often erroneously conflated with the data itself; whereas it is just another visualization of the data.

			Understanding the process described by the data in the table is aided by producing a graph or line chart of ''Speed versus Time''. Such a visualisation appears in the figure to the right.

			Mathematically, if we denote time by the variable <math>t</math>, and speed by <math>v</math>, then the function plotted in the graph would be denoted <math>v(t)</math> indicating that <math>v</math> (the dependent variable) is a function of <math>t</math>.

			== Best-fit ==
			Charts often include an overlaid mathematical function depicting the [[best-fit]] trend of the scattered data. This layer is referred to as a best-fit layer and the graph containing this layer is often referred to as a line graph.

			It is simple to construct a "best-fit" layer consisting of a set of line segments connecting adjacent data points; however, such a "best-fit" is usually not an ideal representation of the trend of the underlying scatter data for the following reasons:

			# It is highly improbable that the discontinuities in the slope of the best-fit would correspond exactly with the positions of the measurement values.
			# It is highly unlikely that the experimental error in the data is negligible, yet the curve falls exactly through each of the data points.

			In either case, the best-fit layer can reveal trends in the data. Further, measurements such as the [[gradient]] or the area under the curve can be made visually, leading to more conclusions or results from the data.

			A true best-fit layer should depict a continuous mathematical function whose parameters are determined by using a suitable error-minimization scheme, which appropriately weights the error in the data values. Such [[curve fitting]] functionality is often found in [[list of graphing software\|graphing software]] or [[spreadsheet]]s. Best-fit curves may vary from simple [[linear equation]]s to more complex quadratic, polynomial, exponential, and periodic curves.<ref>{{cite web\|title=Curve fitting\|url=http://physics.info/curve-fitting/\|work=The Physics Hypertextbook}}</ref>

			==See also==
			{{Commons category\|Line charts}}
			* [[Fan chart (time series)]]
			* [[List of information graphics software]]
			* [[Curve fitting]]

			==References==
			{{reflist}}

			[[Category:Quality control tools]]
			[[Category:Statistical charts and diagrams]]
			[[Category:Financial charts]]

en>Enyokoyama: add reference

2012-07-08T14:25:19Z

add reference

New page

Oscar is what my spouse enjoys to contact me and I completely dig that name. One of the very best things in the globe for him is to collect badges but he is struggling to find time for it. For many years he's been working as a receptionist. South Dakota is exactly where me and my spouse live and my family members enjoys it.<br><br>Also visit my web site :: [https://www.machlitim.org.il/subdomain/megila/end/node/9243 std home test]