Please capitalize where necessary: the two american research engineers and nobel prize winners, arno a. penzias and robert w. wilson, found in 1965 the first physical proofs ("the sound of big bang") to the hypothesis earlier presented by pyotr kapitsa and especially by george gamow. penzias and wilson showed that "light is the origin of the universe" ... "suddenly the universe arranged itself in order and became transparent".
A: The two American research engineers and Nobel Prize winners, Arno A. Penzias and Robert W. Wilson, found in 1965 the first physical proofs ("the sound of Big Bang") to the hypothesis earlier presented by Pyotr Kapitsa and especially by George Gamow. Penzias and Wilson showed that "light is the origin of the universe" ... "suddenly the universe arranged itself in order and became transparent".

Q: the light fingered prefer darkness: there are almost twice as many burglaries in the darker times of year than in summer, and only one incident in five is ever results in a conviction.

A: The light fingered prefer darkness: There are almost twice as many burglaries in the darker times of year than in summer, and only one incident in five is ever results in a conviction.

Q: one of the craftsmanship was to produce silver and gold coins. to separate the gold special laboratories were designed and built. in 1978 it was converted into a glass-blower craftsmanshop.
A: One of the craftsmanship was to produce silver and gold coins. To separate the gold special laboratories were designed and built. In 1978 it was converted into a glass-blower craftsmanshop.

Problem: tags: blood, gore, killing, shoot, shooting, violent, zombie, zombies.
Can you repeat this sentence, but capitalize it?
Answer: Tags: blood, gore, killing, shoot, shooting, violent, zombie, zombies.

Text: fully conscious of the difficulties in the undertaking, i have written this little book in the hope that it will help to reveal something of the spirit of mathematics, without unduly burdening the reader with intricate symbolism.

Correct capitalization: Fully conscious of the difficulties in the undertaking, I have written this little book in the hope that it will help to reveal something of the spirit of mathematics, without unduly burdening the reader with intricate symbolism.

Problem: table 3 shows the waste fractions that are recycled, either by processing, composting or by use as biogas.
Can you repeat this sentence, but capitalize it?
Answer:
Table 3 shows the waste fractions that are recycled, either by processing, composting or by use as biogas.