Problem: Given the question: Extract the answer to the question from the following context. Question: What is a part of the new state? Context: Likewise, group theory helps predict the changes in physical properties that occur when a material undergoes a phase transition, for example, from a cubic to a tetrahedral crystalline form. An example is ferroelectric materials, where the change from a paraelectric to a ferroelectric state occurs at the Curie temperature and is related to a change from the high-symmetry paraelectric state to the lower symmetry ferroelectic state, accompanied by a so-called soft phonon mode, a vibrational lattice mode that goes to zero frequency at the transition.
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The answer is:
a so-called soft phonon mode

Problem: Given the question: Extract the answer to the question from the following context. Question: Who was conquered early in the war? Context: Two days after the marriage, Bonaparte left Paris to take command of the Army of Italy. He immediately went on the offensive, hoping to defeat the forces of Piedmont before their Austrian allies could intervene. In a series of rapid victories during the Montenotte Campaign, he knocked Piedmont out of the war in two weeks. The French then focused on the Austrians for the remainder of the war, the highlight of which became the protracted struggle for Mantua. The Austrians launched a series of offensives against the French to break the siege, but Napoleon defeated every relief effort, scoring notable victories at the battles of Castiglione, Bassano, Arcole, and Rivoli. The decisive French triumph at Rivoli in January 1797 led to the collapse of the Austrian position in Italy. At Rivoli, the Austrians lost up to 14,000 men while the French lost about 5,000.
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The answer is:
Piedmont

Problem: Given the question: Extract the answer to the question from the following context. Question: The things that can be non-lichen-forming or lichen-forming share some characteristics with? Context: About 1150 species of fungi have been recorded from Antarctica, of which about 750 are non-lichen-forming and 400 are lichen-forming. Some of these species are cryptoendoliths as a result of evolution under extreme conditions, and have significantly contributed to shaping the impressive rock formations of the McMurdo Dry Valleys and surrounding mountain ridges. The apparently simple morphology, scarcely differentiated structures, metabolic systems and enzymes still active at very low temperatures, and reduced life cycles shown by such fungi make them particularly suited to harsh environments such as the McMurdo Dry Valleys. In particular, their thick-walled and strongly melanized cells make them resistant to UV light. Those features can also be observed in algae and cyanobacteria, suggesting that these are adaptations to the conditions prevailing in Antarctica. This has led to speculation that, if life ever occurred on Mars, it might have looked similar to Antarctic fungi such as Cryomyces minteri. Some of these fungi are also apparently endemic to Antarctica. Endemic Antarctic fungi also include certain dung-inhabiting species which have had to evolve in response to the double challenge of extreme cold while growing on dung, and the need to survive passage through the gut of warm-blooded animals.
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The answer is:
algae and cyanobacteria