Please capitalize where necessary: veblen was honoured by princeton in 1926 when they named him henry b fine professor of mathematics.
A: Veblen was honoured by Princeton in 1926 when they named him Henry B Fine Professor of Mathematics.
Q: rotary positive displacement pumps, power-driven (excl. those of subheadings 8413,11 and 8413,19 and fuel, lubricating or cooling-medium pumps for internal combustion piston engines)

A: Rotary positive displacement pumps, power-driven (excl. those of subheadings 8413,11 and 8413,19 and fuel, lubricating or cooling-medium pumps for internal combustion piston engines)
Q: the prizes shown in the paytable are in coins and each column corresponds to the number of coins bet (one coin to five coins).
A: The prizes shown in the PAYTABLE are in coins and each column corresponds to the number of coins bet (one coin to five coins).
Problem: the grave from mammen can be dated to the winter of 970/971 ad.
Can you repeat this sentence, but capitalize it?
Answer: The grave from Mammen can be dated to the winter of 970/971 AD.
Text: in both these cases, you have equal or better chances than a player who made three of a kind on the flop.

Correct capitalization: In both these cases, you have equal or better chances than a player who made three of a kind on the flop.
Problem: the quotation we gave above shows that farey explicitly states he has no proof. hardy continues:
Can you repeat this sentence, but capitalize it?
Answer:
The quotation we gave above shows that Farey explicitly states he has no proof. Hardy continues: