Final answer:
Indian mathematics and the Greek and Islamic influence on European mathematics are two sources of new mathematical symbols that have been widely used.
Step-by-step explanation:
Some widely used mathematical symbols have originated from Indian mathematics, including the use of decimals and the number zero. Indian mathematicians also made contributions to trigonometric functions and calculated the value of pi with high precision. Other sources of new mathematical symbols include the Greek and Islamic influence on European mathematics, which led to the decimal positional number system and the invention of algebra.