Erect comes from the Latin word erectus, meaning  âupright, elevated, loftyâ or âeager, alert, aroused.â Erect is a verb, as in, it will take you years to erect your replica of the Eiffel Tower using only gum and toothpicks. Erect is also an adjective, as in something that is tall, firm, straight or rigid, like a half-dead plant that becomes more erect when you water it.
mathematical - characterized by the exactness or precision of mathematics; mathematical precision. math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement.
Algebra is a branch of mathematics that substitutes letters for numbers, and an algebraic equation represents a scale where what is done on one side of the scale is also done to the other side of the scale and the numbers act as constants.