breakthroughs — a military movement or advance all the way through and beyond an enemy's front-line defense.
findings — the act of a person or thing that finds; discovery.
analyses — to separate (a material or abstract entity) into constituent parts or elements; determine the elements or essential features of (opposed to synthesize): to analyze an argument.
diagnoses — to determine the identity of (a disease, illness, etc.) by a medical examination: The doctor diagnosed the illness as influenza.
methods — a procedure, technique, or way of doing something, especially in accordance with a definite plan: There are three possible methods of repairing this motor.