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8 Field (Commons Math 2.1 API)
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89 <!-- ======== START OF CLASS DATA ======== -->
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90 <H2>
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91 <FONT SIZE="-1">
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92 org.apache.commons.math</FONT>
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93 <BR>
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94 Interface Field<T></H2>
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95 <DL>
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96 <DT><DT><B>Type Parameters:</B><DD><CODE>T</CODE> - the type of the field elements</DL>
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97 <DL>
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98 <DT><B>All Known Implementing Classes:</B> <DD><A HREF="../../../../org/apache/commons/math/fraction/BigFractionField.html" title="class in org.apache.commons.math.fraction">BigFractionField</A>, <A HREF="../../../../org/apache/commons/math/util/BigRealField.html" title="class in org.apache.commons.math.util">BigRealField</A>, <A HREF="../../../../org/apache/commons/math/complex/ComplexField.html" title="class in org.apache.commons.math.complex">ComplexField</A>, <A HREF="../../../../org/apache/commons/math/fraction/FractionField.html" title="class in org.apache.commons.math.fraction">FractionField</A></DD>
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99 </DL>
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100 <HR>
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101 <DL>
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102 <DT><PRE>public interface <A HREF="../../../../src-html/org/apache/commons/math/Field.html#line.29"><B>Field<T></B></A></DL>
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103 </PRE>
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104
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105 <P>
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106 Interface representing a <a href="http://mathworld.wolfram.com/Field.html">field</a>.
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107 <p>
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108 Classes implementing this interface will often be singletons.
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109 </p>
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110 <P>
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111
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112 <P>
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113 <DL>
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114 <DT><B>Since:</B></DT>
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115 <DD>2.0</DD>
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116 <DT><B>Version:</B></DT>
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117 <DD>$Revision: 811685 $ $Date: 2009-09-05 13:36:48 -0400 (Sat, 05 Sep 2009) $</DD>
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118 <DT><B>See Also:</B><DD><A HREF="../../../../org/apache/commons/math/FieldElement.html" title="interface in org.apache.commons.math"><CODE>FieldElement</CODE></A></DL>
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119 <HR>
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120
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121 <P>
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122
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123 <!-- ========== METHOD SUMMARY =========== -->
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124
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128 <TH ALIGN="left" COLSPAN="2"><FONT SIZE="+2">
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129 <B>Method Summary</B></FONT></TH>
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130 </TR>
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131 <TR BGCOLOR="white" CLASS="TableRowColor">
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132 <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
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133 <CODE> <A HREF="../../../../org/apache/commons/math/Field.html" title="type parameter in Field">T</A></CODE></FONT></TD>
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134 <TD><CODE><B><A HREF="../../../../org/apache/commons/math/Field.html#getOne()">getOne</A></B>()</CODE>
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135
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136 <BR>
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137 Get the multiplicative identity of the field.</TD>
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138 </TR>
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139 <TR BGCOLOR="white" CLASS="TableRowColor">
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140 <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
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141 <CODE> <A HREF="../../../../org/apache/commons/math/Field.html" title="type parameter in Field">T</A></CODE></FONT></TD>
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142 <TD><CODE><B><A HREF="../../../../org/apache/commons/math/Field.html#getZero()">getZero</A></B>()</CODE>
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143
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144 <BR>
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145 Get the additive identity of the field.</TD>
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146 </TR>
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147 </TABLE>
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148
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149 <P>
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150
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151 <!-- ============ METHOD DETAIL ========== -->
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152
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156 <TH ALIGN="left" COLSPAN="1"><FONT SIZE="+2">
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157 <B>Method Detail</B></FONT></TH>
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158 </TR>
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159 </TABLE>
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160
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161 <A NAME="getZero()"><!-- --></A><H3>
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162 getZero</H3>
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163 <PRE>
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164 <A HREF="../../../../org/apache/commons/math/Field.html" title="type parameter in Field">T</A> <A HREF="../../../../src-html/org/apache/commons/math/Field.html#line.39"><B>getZero</B></A>()</PRE>
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165 <DL>
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166 <DD>Get the additive identity of the field.
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167 <p>
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168 The additive identity is the element e<sub>0</sub> of the field such that
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169 for all elements a of the field, the equalities a + e<sub>0</sub> =
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170 e<sub>0</sub> + a = a hold.
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171 </p>
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172 <P>
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173 <DD><DL>
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174
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175 <DT><B>Returns:</B><DD>additive identity of the field</DL>
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176 </DD>
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177 </DL>
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178 <HR>
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179
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180 <A NAME="getOne()"><!-- --></A><H3>
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181 getOne</H3>
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182 <PRE>
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183 <A HREF="../../../../org/apache/commons/math/Field.html" title="type parameter in Field">T</A> <A HREF="../../../../src-html/org/apache/commons/math/Field.html#line.49"><B>getOne</B></A>()</PRE>
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184 <DL>
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185 <DD>Get the multiplicative identity of the field.
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186 <p>
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187 The multiplicative identity is the element e<sub>1</sub> of the field such that
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188 for all elements a of the field, the equalities a × e<sub>1</sub> =
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189 e<sub>1</sub> × a = a hold.
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190 </p>
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191 <P>
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192 <DD><DL>
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193
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194 <DT><B>Returns:</B><DD>multiplicative identity of the field</DL>
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195 </DD>
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196 </DL>
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