Elephant

Clopen

Clopen set

A graph with several clopen sets. Each of the three large pieces (i.e. components) is a clopen set, as is the union of any two or all three.

Not to be confused with Half-open interval.

In topology, a clopen set (a portmanteau of closed-open set) in a topological space is a set which is both open and closed. That this is possible may seem counter-intuitive, as the common meanings of openand closed are antonyms. But their mathematical definitions are not mutually exclusive. A set is closed if its complement is open, which leaves the possibility of an open set whose complement is also open, making both sets both open and closed, and therefore clopen.

No Churn Oreo Ice Cream

No Churn Oreo Ice Cream
INGREDIENTS
 2 cup Heavy Whipping Cream
 14 oz Sweetened Condensed Milk
 3 Tablespoons melted butter3
 12 oz Oreos
 1 tsp Vanilla
DIRECTIONS
 Crush 2/3 of cookies in food processor.
 Crumble remainder by hand to get variety of size pieces.
 In a large bowl, whisk, heavy cream and vanilla on high speed until soft peaks form.
 Fold in condensed milk and butter until blended.
 Fold in crushed cookies.
 Spread this mixture into a loaf pan.
 Cover with foil and freeze for 6 hours or until firm.

Rhubarb Cake

Rhubarb Cake
2 Tablespoons Butter, melted
1 cup Sugar
1 Egg
2 cups Flour
1 teaspoon Baking Powder
1/2 teaspoon Baking Soda
1/2 teaspoon Salt
1 cup Buttermilk
2 cups Rhubarb, Chopped
Streusel Topping
1/4 cup Flour
1/4 cup Sugar
2 tablespoons Butter, melted
Vanilla Sauce
1/2 cup Butter
3/4 cup Sugar
1/2 cup Evaporated milk
1 teaspoon Vanilla

Cream butter and sugar. Beat in egg. Add combined flour, b.powder, b. Soda & salt
alternately with buttermilk. Beat till just moistened. Fold in rhubarb & pour into 9" sq.
Baking dish. Combine topping ingred. and sprinkle over batter. Bake @ 350, 40 to 45 min.
For sauce: melt butter in pan. Add sugar & milk. Bring to boil. Cook & stir 2-3 min. Remove from heat stir in vanilla. Serve on top of cake

Public Ed