Preheat the oven to 350 degrees.
Butter an 8-inch square baking dish, and place it in the hot oven while you prepare the batter.
Sift or stir together the flour, cornmeal, baking powder and baking soda.
In a mixing bowl, beat the eggs and the melted butter until well-blended. Add the sugar, salt, milk and vinegar and beat well. Stir the dry ingredients into the egg mixture just until the batter is smooth.
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