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ArcCos in Pascal

ArcCos/ArcSin functions
----------------------------------------------------------------
The Turbo Pascal library omits arc-sine and arc-cosine functions. However,
these functions may be calculated using the the relations shown in these
function definitions, returning a result in the range of [-Pi/2 .. Pi/2 ]:

function ArcCos ( X : Real ): Real;
var
TempArcCos : Real;
begin
if X = 0.0 then { to avoid division by 0 }
TempArcCos := Pi / 2.0
else
TempArcCos := ArcTan ( Sqrt ( 1 - X*X ) / X );
if X < 0.0 then
TempArcCos := PI - TempArcCos;
ArcCos := TempArcCos;
end;

function ArcSin ( X : Real ): Real;
begin
if X = 1.0 then { to avoid division by 0 }
ArcSin := Pi / 2.0
else
ArcSin := ArcTan ( X / Sqrt ( 1 - X * X ) );
end;
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Study Reveals a Secret to the Success of Notorious, Disease-Causing Microbes

Mechanism used by oomycetes and fungi to infect humans, animals and plants with serious diseases.

A study published in the July 23 issue of Cell identifies the mechanism used by several types of common, virulent microbes to infect plants and cause devastating blights. Microbes using this infection mechanism include fungi that are currently causing wheat rust epidemics in Africa and Asia, and a class of parasitic algae, called oomycetes, that resulted in the Irish potato blight of the 19th Century. These microbes remain an agricultural scourge today.

The researchers ...

More at http://www.nsf.gov/news/news_summ.jsp?cntn_id=117036&WT.mc_id=USNSF_51&WT.mc_ev=click


This is an NSF News item.

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