In mathematical notation, what are the usage differences between the various approximately-equal signs "≈", "≃", and "≅"? The Unicode standard lists all of them inside the Mathematical Operators B...
Other symbols I have seen used for "is defined to be equal to" are three horizontal lines instead of two, and $=$ with either a triangle or "def" written directly above it. I have seen variants of these used by people who predate widespread knowledge of computer programming. It would be interesting to know the earliest uses of a special symbol for this (and what symbols were chosen). An ...
Dividing by a negative number is the same as dividing by a positive number and then multiplying by $-1$. Dividing an inequality by a positive number retains the same inequality. But, multiplying by $-1$ is the same as switching the signs of the numbers on both sides of the inequality, which reverses the inequality: $$ \tag {1} a\lt b\quad\iff -a\gt -b. $$ You should be able to convince ...
Yes, you typically need to sign the back of a check in order to deposit it. This signature is known as an endorsement and is required by most banks to verify the authenticity of the deposit.
I came across a question that seemingly breaks the rule of flipping the sign when multiplying or dividing by a negative sign. Here is the equation to be solved. $$|-x| \\geq 6$$ The positive answer ...
To sign "tender" in American Sign Language (ASL), use a gentle touch or patting motion on the back of your non-dominant hand with your dominant hand's fingertips.
The dollar sign is placed before the amount in standard American English. For example, you would write "$50" rather than "50$." This convention is used in financial documents, pricing, and ...
Yes, you can sign over a government check to someone else by endorsing the back of the check with your signature and writing "Pay to the order of recipient's name" above your signature.
Sign your name exactly as it appears on the front of the card, ensuring consistency for verification purposes. Avoid using a marker or pencil, as these may fade or be erased over time.
