What does the word homogeneous mean in math?

A function is called a homogeneous function if the value of f(tx) remains the same when you multiply the value of each variable by a number. For example, the function (x,y,z) → x2+y2+z2 is a homogeneous function because when you multiply each variable by a constant, the value of the function remains the same.

What does the word homogeneous mean in chemistry?

A chemical is called homogeneous if the properties of the solution do not depend on the location of the solution. For example, if you stirred sugar into water, each sugar particle would dissolve into the surrounding water at the same rate, even if the sugar was in the middle of the container and the water was on the sides.

What does the word homogeneous mean in science?

A physical system is said to be homogeneous if the physical properties of the system do not vary with location, meaning that the system is uniform throughout. A system that is not uniform is said to be heterogeneous. One example of a heterogeneous system is a bowl of sand. If you measure the density of sand in different locations within the bowl, you will find that the sand is not uniform, as the density may be different in one area than the rest of the bowl.

What does the word homogeneous mean in biology?

A homogeneous population is one in which the members are genetically similar to one another. A population is said to be genetically homogeneous if each member of the population shares a single set of genes. There are two different kinds of diversity within a population: diversity due to genetic differences among the individuals, and diversity due to different ways each individual can express the same set of genes.

What does the word homogeneous mean in physics?

In physics, a physical system is said to be homogeneous if the properties of the system do not vary at different locations within the system. For example, a ball is a physical system. If you take a small ball and place it on a flat surface, the ball will still be a ball; it will still have the same properties everywhere on the ball. On the other hand, consider a square block. If you were to take a small cube from the middle of this block, the properties of