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📄 scheme_by_scaling.hlp

📁 是一个经济学管理应用软件 很难找的 但是经济学学生又必须用到
💻 HLP
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{smcl}
{* 23mar2005}{...}
{cmd:help scheme by scaling}
{hline}

{title:Scaling for {help by_option:by graphs}, {helpb graph combine}, and {helpb graph matrix}}

{p 3 3 2}
These entries control the rate at which the size of text, markers, and line
widths are scaled (decreased) as the number of graphs plotted increases for 
{cmd:graph, by()}; {cmd:graph combine}; and {cmd:graph matrix}.

{p 3 3 2}
These are advanced and rarely used scheme file entries.{p_end}
{p2colset 4 29 32 0}
{p2col:entry} description{p_end}
{p2line}
{p2col:{cmd:special by_slope1}      {space 5}{it:#}}
	rate of scaling before the knot for {cmd:by} graphs (1){p_end}
{p2col:{cmd:special by_knot1}      {space 6}{it:#}}
	point at which scaling changes from slope1 to slope2 for {cmd:by}
	graphs(3){p_end}
{p2col:{cmd:special by_slope2}      {space 5}{it:#}}
	rate of scaling after the knot for {cmd:by} graphs (1){p_end}
{p2col:{cmd:special combine_slope1}  {space 0}{it:#}}
	rate of scaling before the knot for {cmd:graph combine} (1){p_end}
{p2col:{cmd:special combine_knot1}   {space 1}{it:#}}
	point at which scaling changes from slope1 to slope2 for 
	{cmd:graph combine}(1){p_end}
{p2col:{cmd:special combine_slope2}  {space 0}{it:#}}
	rate of scaling after the knot for {cmd:graph combine} (1){p_end}
{p2col:{cmd:special matrix_slope1}   {space 1}{it:#}}
	rate of scaling before the knot for {cmd:graph matrix} (1){p_end}
{p2col:{cmd:special matrix_knot1}    {space 2}{it:#}}
	point at which scaling changes from slope1 to slope2 for 
	{cmd:graph matrix}(2){p_end}
{p2col:{cmd:special matrix_slope2}   {space 1}{it:#}}
	rate of scaling after the knot for {cmd:graph matrix} (1){p_end}
{p2line}
{p 3 7 2}
(1) Generally, 0<{it:#}<1 for slopes, with 0 being no scaling and 1 scaling in
nearly direct proportion to the ceiling of the square root of the number of
graphs.{p_end} 
{p 3 7 2}
(2) When the ceiling of the square root of the exceeds the value of the knot,
the rate of scaling moves from slope1 to slope2.{p_end}

{p 3 3 2}
The formula for the scaling factor is a spline based on the slopes and knots.
Let

	s1 = slope1
	s2 = slope2
	k  = knot
	n  = ceiling(sqrt(number_of_graphs))

{p 3 3 2}
The scaling factor is then

{p 8 12 4}
	s = 1 - s1(n-1)/n + indicator(n>k)(s2-s1)(n-k)/n

{p 3 3 2}
where s is the proportion of the unscaled size.  s close to 0 implies very
small sizes, and s=1 implies no scaling.


{title:Also see}

{psee}
Online:
{help scheme files}
{p_end}

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