<?xml version="1.0"?>
<div class="add">

<span class="kw">take </span>
 <a href="polyalg1.html#G1" title="POLYALG1:aggr.1">AlgebraStr</a>(# <a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>,<a href="gaussint.html#K2" title="GAUSSINT:func.2">g_int_add</a>,<a href="gaussint.html#K3" title="GAUSSINT:func.3">g_int_mult</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (1,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<a href="gaussint.html#K4" title="GAUSSINT:func.4">Sc_Mult</a> #)
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> (  <a href="polyalg1.html#G1" title="POLYALG1:aggr.1">AlgebraStr</a>(# <a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>,<a href="gaussint.html#K2" title="GAUSSINT:func.2">g_int_add</a>,<a href="gaussint.html#K3" title="GAUSSINT:func.3">g_int_mult</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (1,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<a href="gaussint.html#K4" title="GAUSSINT:func.4">Sc_Mult</a> #) is  <a href="polyalg1.html#V1" title="POLYALG1:attr.1">strict</a>  &amp;  <a href="polyalg1.html#G1" title="POLYALG1:aggr.1">AlgebraStr</a>(# <a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>,<a href="gaussint.html#K2" title="GAUSSINT:func.2">g_int_add</a>,<a href="gaussint.html#K3" title="GAUSSINT:func.3">g_int_mult</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (1,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<a href="gaussint.html#K4" title="GAUSSINT:func.4">Sc_Mult</a> #) is  <a href="rlvect_1.html#V2" title="RLVECT_1:attr.2">Abelian</a>  &amp;  <a href="polyalg1.html#G1" title="POLYALG1:aggr.1">AlgebraStr</a>(# <a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>,<a href="gaussint.html#K2" title="GAUSSINT:func.2">g_int_add</a>,<a href="gaussint.html#K3" title="GAUSSINT:func.3">g_int_mult</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (1,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<a href="gaussint.html#K4" title="GAUSSINT:func.4">Sc_Mult</a> #) is  <a href="rlvect_1.html#V3" title="RLVECT_1:attr.3">add-associative</a>  &amp;  <a href="polyalg1.html#G1" title="POLYALG1:aggr.1">AlgebraStr</a>(# <a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>,<a href="gaussint.html#K2" title="GAUSSINT:func.2">g_int_add</a>,<a href="gaussint.html#K3" title="GAUSSINT:func.3">g_int_mult</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (1,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<a href="gaussint.html#K4" title="GAUSSINT:func.4">Sc_Mult</a> #) is  <a href="rlvect_1.html#V4" title="RLVECT_1:attr.4">right_zeroed</a>  &amp;  <a href="polyalg1.html#G1" title="POLYALG1:aggr.1">AlgebraStr</a>(# <a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>,<a href="gaussint.html#K2" title="GAUSSINT:func.2">g_int_add</a>,<a href="gaussint.html#K3" title="GAUSSINT:func.3">g_int_mult</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (1,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<a href="gaussint.html#K4" title="GAUSSINT:func.4">Sc_Mult</a> #) is  <a href="algstr_0.html#V13" title="ALGSTR_0:attr.13">right_complementable</a>  &amp;  <a href="polyalg1.html#G1" title="POLYALG1:aggr.1">AlgebraStr</a>(# <a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>,<a href="gaussint.html#K2" title="GAUSSINT:func.2">g_int_add</a>,<a href="gaussint.html#K3" title="GAUSSINT:func.3">g_int_mult</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (1,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<a href="gaussint.html#K4" title="GAUSSINT:func.4">Sc_Mult</a> #) is  <a href="group_1.html#V5" title="GROUP_1:attr.5">commutative</a>  &amp;  <a href="polyalg1.html#G1" title="POLYALG1:aggr.1">AlgebraStr</a>(# <a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>,<a href="gaussint.html#K2" title="GAUSSINT:func.2">g_int_add</a>,<a href="gaussint.html#K3" title="GAUSSINT:func.3">g_int_mult</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (1,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<a href="gaussint.html#K4" title="GAUSSINT:func.4">Sc_Mult</a> #) is  <a href="group_1.html#V3" title="GROUP_1:attr.3">associative</a>  &amp;  <a href="polyalg1.html#G1" title="POLYALG1:aggr.1">AlgebraStr</a>(# <a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>,<a href="gaussint.html#K2" title="GAUSSINT:func.2">g_int_add</a>,<a href="gaussint.html#K3" title="GAUSSINT:func.3">g_int_mult</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (1,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<a href="gaussint.html#K4" title="GAUSSINT:func.4">Sc_Mult</a> #) is  <a href="vectsp_1.html#V3" title="VECTSP_1:attr.3">right_unital</a>  &amp;  <a href="polyalg1.html#G1" title="POLYALG1:aggr.1">AlgebraStr</a>(# <a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>,<a href="gaussint.html#K2" title="GAUSSINT:func.2">g_int_add</a>,<a href="gaussint.html#K3" title="GAUSSINT:func.3">g_int_mult</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (1,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<a href="gaussint.html#K4" title="GAUSSINT:func.4">Sc_Mult</a> #) is  <a href="vectsp_1.html#V1" title="VECTSP_1:attr.1">right-distributive</a>  &amp;  <a href="polyalg1.html#G1" title="POLYALG1:aggr.1">AlgebraStr</a>(# <a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>,<a href="gaussint.html#K2" title="GAUSSINT:func.2">g_int_add</a>,<a href="gaussint.html#K3" title="GAUSSINT:func.3">g_int_mult</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (1,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<a href="gaussint.html#K4" title="GAUSSINT:func.4">Sc_Mult</a> #) is  <a href="polyalg1.html#V2" title="POLYALG1:attr.2">mix-associative</a>  &amp;  <a href="polyalg1.html#G1" title="POLYALG1:aggr.1">AlgebraStr</a>(# <a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>,<a href="gaussint.html#K2" title="GAUSSINT:func.2">g_int_add</a>,<a href="gaussint.html#K3" title="GAUSSINT:func.3">g_int_mult</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (1,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<a href="gaussint.html#K4" title="GAUSSINT:func.4">Sc_Mult</a> #) is  <a href="vectsp_1.html#V10" title="VECTSP_1:attr.10">scalar-associative</a>  &amp;  <a href="polyalg1.html#G1" title="POLYALG1:aggr.1">AlgebraStr</a>(# <a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>,<a href="gaussint.html#K2" title="GAUSSINT:func.2">g_int_add</a>,<a href="gaussint.html#K3" title="GAUSSINT:func.3">g_int_mult</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (1,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<a href="gaussint.html#K4" title="GAUSSINT:func.4">Sc_Mult</a> #) is  <a href="vectsp_1.html#V8" title="VECTSP_1:attr.8">vector-distributive</a>  &amp;  <a href="polyalg1.html#G1" title="POLYALG1:aggr.1">AlgebraStr</a>(# <a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>,<a href="gaussint.html#K2" title="GAUSSINT:func.2">g_int_add</a>,<a href="gaussint.html#K3" title="GAUSSINT:func.3">g_int_mult</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (1,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<a href="gaussint.html#K4" title="GAUSSINT:func.4">Sc_Mult</a> #) is  <a href="vectsp_1.html#V9" title="VECTSP_1:attr.9">scalar-distributive</a>  )</span><br/>

<span class="kw">thus </span><a NAME="E1:32_1_1"/>
(  <a href="polyalg1.html#G1" title="POLYALG1:aggr.1">AlgebraStr</a>(# <a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>,<a href="gaussint.html#K2" title="GAUSSINT:func.2">g_int_add</a>,<a href="gaussint.html#K3" title="GAUSSINT:func.3">g_int_mult</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (1,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<a href="gaussint.html#K4" title="GAUSSINT:func.4">Sc_Mult</a> #) is  <a href="polyalg1.html#V1" title="POLYALG1:attr.1">strict</a>  &amp;  <a href="polyalg1.html#G1" title="POLYALG1:aggr.1">AlgebraStr</a>(# <a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>,<a href="gaussint.html#K2" title="GAUSSINT:func.2">g_int_add</a>,<a href="gaussint.html#K3" title="GAUSSINT:func.3">g_int_mult</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (1,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<a href="gaussint.html#K4" title="GAUSSINT:func.4">Sc_Mult</a> #) is  <a href="rlvect_1.html#V2" title="RLVECT_1:attr.2">Abelian</a>  &amp;  <a href="polyalg1.html#G1" title="POLYALG1:aggr.1">AlgebraStr</a>(# <a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>,<a href="gaussint.html#K2" title="GAUSSINT:func.2">g_int_add</a>,<a href="gaussint.html#K3" title="GAUSSINT:func.3">g_int_mult</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (1,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<a href="gaussint.html#K4" title="GAUSSINT:func.4">Sc_Mult</a> #) is  <a href="rlvect_1.html#V3" title="RLVECT_1:attr.3">add-associative</a>  &amp;  <a href="polyalg1.html#G1" title="POLYALG1:aggr.1">AlgebraStr</a>(# <a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>,<a href="gaussint.html#K2" title="GAUSSINT:func.2">g_int_add</a>,<a href="gaussint.html#K3" title="GAUSSINT:func.3">g_int_mult</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (1,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<a href="gaussint.html#K4" title="GAUSSINT:func.4">Sc_Mult</a> #) is  <a href="rlvect_1.html#V4" title="RLVECT_1:attr.4">right_zeroed</a>  &amp;  <a href="polyalg1.html#G1" title="POLYALG1:aggr.1">AlgebraStr</a>(# <a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>,<a href="gaussint.html#K2" title="GAUSSINT:func.2">g_int_add</a>,<a href="gaussint.html#K3" title="GAUSSINT:func.3">g_int_mult</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (1,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<a href="gaussint.html#K4" title="GAUSSINT:func.4">Sc_Mult</a> #) is  <a href="algstr_0.html#V13" title="ALGSTR_0:attr.13">right_complementable</a>  &amp;  <a href="polyalg1.html#G1" title="POLYALG1:aggr.1">AlgebraStr</a>(# <a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>,<a href="gaussint.html#K2" title="GAUSSINT:func.2">g_int_add</a>,<a href="gaussint.html#K3" title="GAUSSINT:func.3">g_int_mult</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (1,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<a href="gaussint.html#K4" title="GAUSSINT:func.4">Sc_Mult</a> #) is  <a href="group_1.html#V5" title="GROUP_1:attr.5">commutative</a>  &amp;  <a href="polyalg1.html#G1" title="POLYALG1:aggr.1">AlgebraStr</a>(# <a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>,<a href="gaussint.html#K2" title="GAUSSINT:func.2">g_int_add</a>,<a href="gaussint.html#K3" title="GAUSSINT:func.3">g_int_mult</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (1,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<a href="gaussint.html#K4" title="GAUSSINT:func.4">Sc_Mult</a> #) is  <a href="group_1.html#V3" title="GROUP_1:attr.3">associative</a>  &amp;  <a href="polyalg1.html#G1" title="POLYALG1:aggr.1">AlgebraStr</a>(# <a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>,<a href="gaussint.html#K2" title="GAUSSINT:func.2">g_int_add</a>,<a href="gaussint.html#K3" title="GAUSSINT:func.3">g_int_mult</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (1,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<a href="gaussint.html#K4" title="GAUSSINT:func.4">Sc_Mult</a> #) is  <a href="vectsp_1.html#V3" title="VECTSP_1:attr.3">right_unital</a>  &amp;  <a href="polyalg1.html#G1" title="POLYALG1:aggr.1">AlgebraStr</a>(# <a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>,<a href="gaussint.html#K2" title="GAUSSINT:func.2">g_int_add</a>,<a href="gaussint.html#K3" title="GAUSSINT:func.3">g_int_mult</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (1,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<a href="gaussint.html#K4" title="GAUSSINT:func.4">Sc_Mult</a> #) is  <a href="vectsp_1.html#V1" title="VECTSP_1:attr.1">right-distributive</a>  &amp;  <a href="polyalg1.html#G1" title="POLYALG1:aggr.1">AlgebraStr</a>(# <a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>,<a href="gaussint.html#K2" title="GAUSSINT:func.2">g_int_add</a>,<a href="gaussint.html#K3" title="GAUSSINT:func.3">g_int_mult</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (1,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<a href="gaussint.html#K4" title="GAUSSINT:func.4">Sc_Mult</a> #) is  <a href="polyalg1.html#V2" title="POLYALG1:attr.2">mix-associative</a>  &amp;  <a href="polyalg1.html#G1" title="POLYALG1:aggr.1">AlgebraStr</a>(# <a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>,<a href="gaussint.html#K2" title="GAUSSINT:func.2">g_int_add</a>,<a href="gaussint.html#K3" title="GAUSSINT:func.3">g_int_mult</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (1,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<a href="gaussint.html#K4" title="GAUSSINT:func.4">Sc_Mult</a> #) is  <a href="vectsp_1.html#V10" title="VECTSP_1:attr.10">scalar-associative</a>  &amp;  <a href="polyalg1.html#G1" title="POLYALG1:aggr.1">AlgebraStr</a>(# <a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>,<a href="gaussint.html#K2" title="GAUSSINT:func.2">g_int_add</a>,<a href="gaussint.html#K3" title="GAUSSINT:func.3">g_int_mult</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (1,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<a href="gaussint.html#K4" title="GAUSSINT:func.4">Sc_Mult</a> #) is  <a href="vectsp_1.html#V8" title="VECTSP_1:attr.8">vector-distributive</a>  &amp;  <a href="polyalg1.html#G1" title="POLYALG1:aggr.1">AlgebraStr</a>(# <a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>,<a href="gaussint.html#K2" title="GAUSSINT:func.2">g_int_add</a>,<a href="gaussint.html#K3" title="GAUSSINT:func.3">g_int_mult</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (1,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<a href="gaussint.html#K4" title="GAUSSINT:func.4">Sc_Mult</a> #) is  <a href="vectsp_1.html#V9" title="VECTSP_1:attr.9">scalar-distributive</a>  )
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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