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Two sets with the same number of elements are called "equinumerous" or "equipollent." This means there is a one-to-one correspondence between the elements of the two sets, allowing for a direct pairing without any leftover elements in either set. If the sets are finite, they have the same cardinality, which is the term used to describe the number of elements in a set.
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How do you determine if number sets same or different?
To determine if number sets are the same, compare their elements to see if they contain exactly the same numbers, regardless of order or repetition. If each number in one set can be matched to a number in the other set without any discrepancies, the sets are the same. If there are any differing elements or counts of elements, the sets are different. Using a method like sorting the sets or converting them to a list of unique elements can help in this comparison.
What do you called the arrangement of grouping elements by three?
This arrangement is called "triplets," where elements are grouped in sets of three.
Who is the scientist that grouped elements into sets of three?
Newland, Moseley, , Dobereiner, Mendeleeff...
Are there more domains than orders?
No, there are more orders (groups) than domains. The number of orders is infinite, while the number of domains is finite. Orders are sets of elements with a defined operation that satisfy group properties, while domains are sets of elements with defined operations that satisfy ring or field properties.
What sets an atom of one element apart from all the other elements give an example?
An atom of one element is distinguished from all other elements by its unique number of protons, known as the atomic number. For example, a carbon atom has six protons, while an oxygen atom has eight protons. This difference in proton number defines the element's chemical properties and behavior, as well as its position in the periodic table. Thus, no two elements can have the same atomic number.
Two sets that contain the same number of elements are called what?
Two sets that contain the same number of elements are called "equinumerous" or "equipollent."
What is meaning of equivalent sets?
Equivalent sets are sets with exactly the same number of elements.
What is equal set from equivalent sets?
equal sets with exactly the same elements and number of elements.equivalent sets with numbers of elements
How do you determine if number sets same or different?
To determine if number sets are the same, compare their elements to see if they contain exactly the same numbers, regardless of order or repetition. If each number in one set can be matched to a number in the other set without any discrepancies, the sets are the same. If there are any differing elements or counts of elements, the sets are different. Using a method like sorting the sets or converting them to a list of unique elements can help in this comparison.
What is the meaning of equivalent set?
Equivalent sets are sets with exactly the same number of elements.
Are all equal sets are equivalent sets why?
no,because if for example :setA "A,B,C" and setB "D,E,F" they do have the same number of elements ,but they don't have the same elements.
Is equal sets and equivalent sets are the same?
No, equal sets and equivalent sets are not the same. Equal sets contain exactly the same elements, meaning every element in one set is also in the other. In contrast, equivalent sets have the same number of elements but may contain different elements. For example, the sets {1, 2, 3} and {3, 2, 1} are equal, while the sets {1, 2} and {4, 5} are equivalent but not equal, as both contain two elements.
Are equivalent sets equal?
No, equivalent sets are not necessarily equal. Two sets are considered equivalent if they have the same cardinality, meaning they contain the same number of elements, regardless of the actual elements within them. For example, the sets {1, 2, 3} and {a, b, c} are equivalent because both have three elements, but they are not equal since they contain different elements.
What is it when you have all the elements in two or more sets?
The set of elements that are elements of the two (or more) given sets is called the intersection of the sets.
What is equal set?
Two sets are equal if they both contain the same elements.
When are two sets equivalent?
Two sets are considered equivalent when they contain the same number of elements, regardless of whether the elements themselves are the same or the order in which they are listed. This means there exists a one-to-one correspondence (bijective function) between the elements of the two sets. It’s important to note that equivalent sets can be of different types, such as finite and infinite sets, as long as their cardinalities match.
Which sets are equal?
Two sets are equal when they have the same elements.
