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Do the complex numbers for a group under binary operation ' plus '?
Yes, the complex numbers, as well as the real numbers which are a subset of the complex numbers, form groups under addition.
How do you find the range of a radical function?
The answer depends on what group or field the function is defined on. In the complex plane, the range is the complex plane. If the domain is all real numbers and the radical is an odd root (cube root, fifth root etc), the range is the real numbers. Otherwise, it is the complex plane. If the domain is non-negative real numbers, the range is also the real numbers.
What group of numbers has a mean of 10 median of 12 mode of 12 and a range of 12?
There is no single answer to that. You could come up with many sets of numbers that would have those properties.
Are most numbers rational or irrational?
The set of irrational numbers is larger than the set of rational numbers, as proved by Cantor: The set of rational numbers is "countable", meaning there is a one-to-one correspondence between the natural numbers and the rational numbers. You can put them in a sequence, in such a way that every rational number will eventually appear in the sequence. The set of irrational numbers is uncountable, this means that no such sequence is possible. All rational and irrationals (ie real numbers) are a subset of complex numbers. Complex numbers, in turn, are part of a larger group, and so on.
Is a set of natural numbers a group under the operation of addition?
No, a set of natural numbers is not a group under the operation of addition. For a set to be a group, it must satisfy four properties: closure, associativity, identity, and inverses. While the natural numbers are closed under addition and associative, there is no additive identity (0 is not included in the natural numbers) and no inverses (there is no natural number that can be added to another natural number to yield zero).
Do the complex numbers for a group under binary operation ' plus '?
Yes, the complex numbers, as well as the real numbers which are a subset of the complex numbers, form groups under addition.
Do elements in the same group have similar atomic numbers?
Elements in the same group have similar chemical properties but not necessarily similar atomic numbers. Elements in the same group have the same number of valence electrons, which determines their reactivity and chemical properties.
What is the group of numbers that includes all numbers?
The set of Real numbers includes all commonly used numbers. But the Real numbers are only a proper subset of the set of Complex numbers, and the Complex numbers are a proper subset of Quaternions.It is a bit like the Russian Babushka dolls with one doll inside another which is inside another, and so on. In reality, therefore, there is no such set.Also, note that "Group" has a very special meaning in mathematics. The set of Real numbers is a group, but it is also a Field.
Are Physical properties within a period are more alike than physical properties within a group?
No, physical properties within a group are more alike than physical properties within a period. This is because elements in the same group have similar electron configurations, leading to similar chemical and physical properties, while elements in the same period have different numbers of electron shells and therefore different properties.
How do you find the range of a radical function?
The answer depends on what group or field the function is defined on. In the complex plane, the range is the complex plane. If the domain is all real numbers and the radical is an odd root (cube root, fifth root etc), the range is the real numbers. Otherwise, it is the complex plane. If the domain is non-negative real numbers, the range is also the real numbers.
Are properties within a group are more alike than properties within a period?
Yes, properties within a group are more alike than properties within a period. This is because elements in the same group have similar outer electron configurations, which leads to similar chemical behaviors. In contrast, elements in a period have increasing atomic numbers and varying electron configurations, leading to more differences in properties.
What is a complex?
In mathematics, a complex number is a number that can be expressed in the form a + bi, where "a" and "b" are real numbers and "i" is the imaginary unit, satisfying the equation i^2 = -1. Complex numbers include a real part and an imaginary part.
Which determine the chemical properties of an element?
the atomic masses and atomic numbers... group number and period number... valence electrons and number of shells... these all determine the chemical properties of elements...
What group of numbers has a mean of 10 median of 12 mode of 12 and a range of 12?
There is no single answer to that. You could come up with many sets of numbers that would have those properties.
Are elements with similar chemical properties found in the same period or group on the periodic?
Elements with similar chemical properties are found in the same group on the periodic table. This is because elements in the same group have the same number of valence electrons, which determines their chemical behavior. Elements in the same period have different numbers of electron shells, leading to varying chemical properties.
What is the population of Centro Properties Group?
Centro Properties Group's population is 710.
What is a biquaternion?
A biquaternion is any of the numbers w + xi + yj + zk where w, x, y, and z are complex numbers and the elements of 1, i, j, k multiply as in the quaternion group.
