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For instance, when a highly math-anxious student performs disappointingly on a math question, it could be due to math anxiety or the lack of competency in math because of math avoidance. Ashcraft determined that by administering a test that becomes increasingly more mathematically challenging, he noticed that even highly math-anxious ...
The evolutionary origin of birds was an open question in paleontology for over a century, but the modern scientific consensus is that birds evolved from small feathered theropods in the Jurassic. Not all dinosaur lineages were cut short at the end of the Cretaceous during the Cretaceous–Paleogene extinction event , and over 11,000 species of ...
A typical example is the proof of the proposition "there is no smallest positive rational number": assume there is a smallest positive rational number q and derive a contradiction by observing that q / 2 is even smaller than q and still positive.
For example, consider the true statement "If I am a human, then I am mortal." The converse of that statement is "If I am mortal, then I am a human," which is not necessarily true. However, the converse of a statement with mutually inclusive terms remains true, given the truth of the original proposition.
In mathematics, the symmetric difference of two sets, also known as the disjunctive union and set sum, is the set of elements which are in either of the sets, but not in their intersection. For example, the symmetric difference of the sets {,,} and {,} is {,,}.
Active listening encloses the communication attribute characterized by paying attention to a speaker for better comprehension, both in word and emotion. It is the opposite of passive listening, where a listener may be distracted or note critical points to develop a response.
In mathematics, specifically in category theory, hom-sets (i.e. sets of morphisms between objects) give rise to important functors to the category of sets. These functors are called hom-functors and have numerous applications in category theory and other branches of mathematics.
For example, the constant π may be defined as the ratio of the length of a circle's circumference to its diameter. The following list includes a decimal expansion and set containing each number, ordered by year of discovery. The column headings may be clicked to sort the table alphabetically, by decimal value, or by set.