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<head><title>Function _ Thing -- attach the first argument to a function of two or more arguments</title>
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<div><h1>Function _ Thing -- attach the first argument to a function of two or more arguments</h1>
<div class="single"><h2>Synopsis</h2>
<ul><li><div class="list"><dl class="element"><dt class="heading">Usage: </dt><dd class="value"><div><tt>g = f_x</tt></div>
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<li><span>Operator: <a href="__us.html" title="a binary operator, used for subscripting and access to elements">_</a></span></li>
<li><div class="single">Inputs:<ul><li><span><tt>f</tt>, <span>a <a href="___Function.html">function</a></span>, a function of two or more arguments</span></li>
<li><span><tt>x</tt>, <span>a <a href="___Thing.html">thing</a></span></span></li>
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<li><div class="single">Outputs:<ul><li><span><tt>g</tt>, <span>a <a href="___Function.html">function</a></span>, a new function with the property that <tt>g(y)</tt> returns the value of <tt>f(x,y)</tt>, that <tt>g(y,z)</tt> returns the value of <tt>f(x,y,z)</tt>, and so on.</span></li>
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<div class="single"><h2>Description</h2>
<div><p>This abbreviation allows us to save a bit of typing, and in some cases, agrees with standard mathematical notation.</p>
<table class="examples"><tr><td><pre>i1 : R = ZZ[a .. i];</pre>
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<tr><td><pre>i2 : f = genericMatrix(R,a,3,3)
o2 = | a d g |
| b e h |
| c f i |
3 3
o2 : Matrix R <--- R</pre>
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<tr><td><pre>i3 : exteriorPower(2,f)
o3 = | -bd+ae -bg+ah -eg+dh |
| -cd+af -cg+ai -fg+di |
| -ce+bf -ch+bi -fh+ei |
3 3
o3 : Matrix R <--- R</pre>
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<tr><td><pre>i4 : exteriorPower_2 f
o4 = | -bd+ae -bg+ah -eg+dh |
| -cd+af -cg+ai -fg+di |
| -ce+bf -ch+bi -fh+ei |
3 3
o4 : Matrix R <--- R</pre>
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<tr><td><pre>i5 : p = prepend_7
o5 = p
o5 : FunctionClosure</pre>
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<tr><td><pre>i6 : p {8,9,10}
o6 = {7, 8, 9, 10}
o6 : List</pre>
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