Problem: The important legacy of this period included substantial advances in factual knowledge, especially in anatomy, zoology, botany, mineralogy, geography, mathematics and astronomy; an awareness of the importance of certain scientific problems, especially those related to the problem of change and its causes; and a recognition of the methodological importance of applying mathematics to natural phenomena and of undertaking empirical research. In the Hellenistic age scholars frequently employed the principles developed in earlier Greek thought: the application of mathematics and deliberate empirical research, in their scientific investigations. Thus, clear unbroken lines of influence lead from ancient Greek and Hellenistic philosophers, to medieval Muslim philosophers and scientists, to the European Renaissance and Enlightenment, to the secular sciences of the modern day. Neither reason nor inquiry began with the Ancient Greeks, but the Socratic method did, along with the idea of Forms, great advances in geometry, logic, and the natural sciences. According to Benjamin Farrington, former Professor of Classics at Swansea University:
What era utilized Greek theories?
The answer is the following: the Hellenistic age

Problem: Application of electric motors revolutionized industry. Industrial processes were no longer limited by power transmission using line shafts, belts, compressed air or hydraulic pressure. Instead every machine could be equipped with its own electric motor, providing easy control at the point of use, and improving power transmission efficiency. Electric motors applied in agriculture eliminated human and animal muscle power from such tasks as handling grain or pumping water. Household uses of electric motors reduced heavy labor in the home and made higher standards of convenience, comfort and safety possible. Today, electric motors stand for more than half of the electric energy consumption in the US.
In what domain did electric motors reduce reliance on humans and animals?
The answer is the following: agriculture

Problem: Two major hardware revisions of the Xbox 360 have succeeded the original models; the Xbox 360 S (also referred to as the "Slim") replaced the original "Elite" and "Arcade" models in 2010. The S model carries a smaller, streamlined appearance with an angular case, and utilizes a redesigned motherboard designed to alleviate the hardware and overheating issues experienced by prior models. It also includes a proprietary port for use with the Kinect sensor. The Xbox 360 E, a further streamlined variation of the 360 S with a two-tone rectangular case inspired by Xbox One, was released in 2013. In addition to its revised aesthetics, Xbox 360 E also has one fewer USB port and no longer supports S/PDIF.
What component of the 360 S prevents overheating issues prevalent in prior versions?
The answer is the following: a redesigned motherboard

Problem: Compression is useful because it helps reduce resource usage, such as data storage space or transmission capacity. Because compressed data must be decompressed to use, this extra processing imposes computational or other costs through decompression; this situation is far from being a free lunch. Data compression is subject to a spacetime complexity trade-off. For instance, a compression scheme for video may require expensive hardware for the video to be decompressed fast enough to be viewed as it is being decompressed, and the option to decompress the video in full before watching it may be inconvenient or require additional storage. The design of data compression schemes involves trade-offs among various factors, including the degree of compression, the amount of distortion introduced (when using lossy data compression), and the computational resources required to compress and decompress the data.
What type of scheme involves trade offs among other things?
The answer is the following:
data compression