Please capitalize where necessary: if actual demand is stable, then a smaller value for alpha will be chosen.
A: If actual demand is stable, then a smaller value for alpha will be chosen.

Q: 4 if you come across an ox or a donkey of your enemy, which has gone astray, lead it back to him.

A: 4 If you come across an ox or a donkey of your enemy, which has gone astray, lead it back to him.

Q: so passed a few short moments; then all of a sudden the terrible lord dashed forth and thrust his sharp spear in the maiden's left side with such force that its point came out of the young man's right, thus joining them together in death. they drooped towards the rock, and their blood gushed forth in a single stream, dyeing the cheeks of the heather-blossoms.
A: So passed a few short moments; then all of a sudden the terrible lord dashed forth and thrust his sharp spear in the maiden's left side with such force that its point came out of the young man's right, thus joining them together in death. They drooped towards the rock, and their blood gushed forth in a single stream, dyeing the cheeks of the heather-blossoms.

Problem: luxurious duplex with parquet floor featuring a sophisticated and unique style in every room and decorated with great care. on the first floor, you will find the lovely living room with a combination of two colors colors, black and white ornaments and decorative details with a touch of zen displayed in paintings and statues, in addition, you will have direct access to the balcony from where you can enjoy the magnificent views to the center of barcelona. on the top floor are two of the five double rooms available, exquisitely decorated in elegant colors, creating a unique space for your rest.
Can you repeat this sentence, but capitalize it?
Answer: Luxurious duplex with parquet floor featuring a sophisticated and unique style in every room and decorated with great care. On the first floor, you will find the lovely living room with a combination of two colors colors, black and white ornaments and decorative details with a touch of zen displayed in paintings and statues, in addition, you will have direct access to the balcony from where you can enjoy the magnificent views to the center of Barcelona. On the top floor are two of the five double rooms available, exquisitely decorated in elegant colors, creating a unique space for your rest.

Text: there is an ongoing effort to build a new debian port (named armhf) which will provide a more efficient userland, suitable for modern arm chips (v7), as found in recent netbooks, tablets, nettops, and smartphones.

Correct capitalization: There is an ongoing effort to build a new Debian port (named armhf) which will provide a more efficient userland, suitable for modern ARM chips (v7), as found in recent netbooks, tablets, nettops, and smartphones.

Please capitalize where necessary: it gives about 70 percent of the average casino's income. 30 percent of the profits from gambling machines is given by problem gamblers.
A:
It gives about 70 percent of the average casino's income. 30 percent of the profits from gambling machines is given by problem gamblers.