Triangular and Simplex Numbers
... which will not be found in most math classes. The beauty of triangular numbers lies in the ease with which they lend themselves to the independent derivation of properties. In much of mathematics, you must spend years taking classes, building intuition and machinery, before being able to discover re ...
... which will not be found in most math classes. The beauty of triangular numbers lies in the ease with which they lend themselves to the independent derivation of properties. In much of mathematics, you must spend years taking classes, building intuition and machinery, before being able to discover re ...
Least Common Multiple (LCM)
... Example 3: Find the LCM(6,8,12) Find the GCF of the numbers given Since two of the numbers share a Since ...
... Example 3: Find the LCM(6,8,12) Find the GCF of the numbers given Since two of the numbers share a Since ...
complex numbers
... To add or subtract complex numbers, add or subtract their real parts and then add or subtract their imaginary parts. Adding complex numbers is easy. To multiply complex numbers, use the rule for multiplying binomials. After you are done, remember that i 2 1 and make the substitution. In fact, if ...
... To add or subtract complex numbers, add or subtract their real parts and then add or subtract their imaginary parts. Adding complex numbers is easy. To multiply complex numbers, use the rule for multiplying binomials. After you are done, remember that i 2 1 and make the substitution. In fact, if ...
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SECTION 2-5 Complex Numbers
... Is there any need to consider another number system? Yes, if we want the simple equation x2 1 to have a solution. If x is any real number, then x2 0. Thus, x2 1 cannot have any real number solutions. Once again a new type of number must be invented, a number whose square can be negative. The ...
... Is there any need to consider another number system? Yes, if we want the simple equation x2 1 to have a solution. If x is any real number, then x2 0. Thus, x2 1 cannot have any real number solutions. Once again a new type of number must be invented, a number whose square can be negative. The ...
Section 2.3: Infinite sets and cardinality
... Suppose that A and B are sets (finite or infinite). We say that A and B have the same cardinality (written |A| = |B|) if a bijective correspondence exists between A and B. In other words, A and B have the same cardinality if it’s possible to match each element of A to a different element of B in such a ...
... Suppose that A and B are sets (finite or infinite). We say that A and B have the same cardinality (written |A| = |B|) if a bijective correspondence exists between A and B. In other words, A and B have the same cardinality if it’s possible to match each element of A to a different element of B in such a ...
Infinity
Infinity (symbol: ∞) is an abstract concept describing something without any limit and is relevant in a number of fields, predominantly mathematics and physics.In mathematics, ""infinity"" is often treated as if it were a number (i.e., it counts or measures things: ""an infinite number of terms"") but it is not the same sort of number as natural or real numbers. In number systems incorporating infinitesimals, the reciprocal of an infinitesimal is an infinite number, i.e., a number greater than any real number; see 1/∞.Georg Cantor formalized many ideas related to infinity and infinite sets during the late 19th and early 20th centuries. In the theory he developed, there are infinite sets of different sizes (called cardinalities). For example, the set of integers is countably infinite, while the infinite set of real numbers is uncountable.