The area of mathematics called "gauge field theory,'though investigated in the nineteenth century, has onlyrelatively recently been applied to problems in contemporary quantum mechanics. Differential geometry, another area of mathematics, was investigated by Gauss in the early nineteenth centurylong before Einstein determined that one of its offspring, tensor analysis, was the appropriate mathematics for exploring general relativity. Which one of the following is best illustrated by theexamples presented above? A) Applications of some new theories or techniquesin mathematics are unrecognized until longafter the discovery of those theories or techniques B) Mathematicians are sometimes able to anticipatewhich branches of their subject will proveuseful to future scientists. C The discoveries of modern physics would nothave been possible without major mathematicaladvances made in the nineteenth century. D) The nineteenth century stands out among othertimes as a period of great mathematical achievement E Mathematics tends to advance more quicklythan any of the physical sciences