Changes

The next four Tables expand the expressions of <math>\operatorname{E}f</math> and <math>\operatorname{D}f</math> in two different ways, for each of the sixteen functions.  Notice that the functions are given in a different order, here being collected into a set of seven natural classes.

The next four Tables expand the expressions of <math>\operatorname{E}f</math> and <math>\operatorname{D}f</math> in two different ways, for each of the sixteen functions.  Notice that the functions are given in a different order, here being collected into a set of seven natural classes.

{| align="center" border="1" cellpadding="4" cellspacing="0" style="font-weight:bold; text-align:center; width:96%"

{| align="center" border="1" cellpadding="0" cellspacing="0" style="font-weight:bold; text-align:center; width:96%"

|+ '''Table 3.  <math>\operatorname{E}f</math> Expanded Over Ordinary Features <math>\{ x, y \}\!</math>'''

|+ '''Table 3.  <math>\operatorname{E}f</math> Expanded Over Ordinary Features <math>\{ x, y \}\!</math>'''

|- style="background:ghostwhite"

|- style="background:ghostwhite; height:36px"

| style="width:16%" | &nbsp;

| style="width:16%" | &nbsp;

| style="width:16%" | <math>f\!</math>

| style="width:16%" | <math>f\!</math>

| style="width:16%" | <math>\operatorname{E}f|_{xy}\!</math>

| style="width:16%" | <math>\operatorname{E}f|_{xy}</math>

| style="width:16%" | <math>\operatorname{E}f|_{x(y)}\!</math>

| style="width:16%" | <math>\operatorname{E}f|_{x(y)}</math>

| style="width:16%" | <math>\operatorname{E}f|_{(x)y}\!</math>

| style="width:16%" | <math>\operatorname{E}f|_{(x)y}</math>

| style="width:16%" | <math>\operatorname{E}f|_{(x)(y)}\!</math>

| style="width:16%" | <math>\operatorname{E}f|_{(x)(y)}</math>

|-

|-

| <math>f_{0}\!</math>

| <math>f_{0}\!</math>