Thought I’d try some recent SDMB Factual Questions.
Is there a way to connect wireless headphones to this not-very-new TV?
Yes, there are several ways to connect wireless headphones to an older TV that may not have built-in Bluetooth connectivity:
- Use a Bluetooth transmitter: You can connect a Bluetooth transmitter to the audio output of your TV and pair it with your wireless headphones. This will allow you to listen to audio from your TV wirelessly.
- Use an AV receiver with Bluetooth: If your TV has an audio output, you can connect it to an AV receiver that has Bluetooth connectivity and pair your wireless headphones with the receiver.
- Use an HDMI ARC (Audio Return Channel): If your TV has an HDMI ARC (Audio Return Channel) port, you can use an HDMI ARC-compatible soundbar or AV receiver to connect to the TV and pair your wireless headphones with the soundbar or receiver.
- Use an analog audio cable: If your TV has an analog audio output, you can connect a cable to the output and plug it into the audio input of a pair of wired headphones. You can then cut off the wired headphones and splice the wires to a pair of wireless headphones.
- Use a wireless headphone with a built-in RF (radio frequency) receiver: Some wireless headphones come with a built-in RF receiver that can pick up audio signals from a TV without the need for a direct connection. In this case, you’ll need to connect a small RF transmitter to your TV’s audio output and pair it with your headphones.
Pretty good. #3 is a bit strange and is similar to #2.
#4 is bizarre.
Brick skyscrapers were built straight and square before the use of computerized laser levels through the use of traditional building techniques and tools such as plumb bobs, spirit levels, and straight edges.
Architects and builders would carefully plan the design of the building and create detailed blueprints that included the placement of each brick. During construction, masons would use plumb bobs to ensure that walls were perfectly vertical and spirit levels to ensure that they were level.
Straight edges, such as long steel bars, were used to check the alignment of walls and ensure that corners were square. Masons would also lay out reference lines on the floor and walls to guide their work. Additionally, builders would often use temporary scaffolding or “story poles” to check the alignment of walls as they were being built.
These techniques, combined with the skill and experience of the masons, allowed them to build brick skyscrapers that were straight and square even before the use of computerized laser levels.
Not bad, I guess.
Can Cantor’s proof of uncountable sets be done without a positional number system?
Cantor’s proof of the uncountability of sets is based on a contradiction that is derived from assuming the opposite of what is to be proven. The proof does not specifically require a positional number system, but it relies on the concept of one-to-one correspondence, which is a fundamental property of the real numbers. The proof also relies on the assumption of the well-ordering principle, which states that every non-empty set of real numbers has a smallest element. Therefore, it is possible to say that the proof can be done without a specific type of number system, but it still relies on certain mathematical concepts and principles that are independent of any particular number system.
Is the explanation complete?