0
Show that the set of all real numbers is a group with respect to addition?
Karninerezas
Closure: The sum of two real numbers is always a real number.
Associativity: If a,b ,c are real numbers, then (a+b)+c = a+(b+c)
Identity: 0 is the identity element since 0+a=a and a+0=a for any real number a.
Inverse: Every real number (a) has an additive inverse (-a) since a + (-a) = 0
Those are the four requirements for a group.
Wiki User
∙ 14y ago
Add your answer:
Earn +20 pts
Does 0 and -1 show closure property with respect to addition?
-1
How can you Show that the set of integers is a group with respect to addition?
In abstract algebra, a group is a set with a binary operation that satisfies certain axioms, detailed below. For example, the set of integers with addition is a group. The branch of mathematics which studies groups is called group theory. Many of the structures investigated in mathematics turn out to be groups. These include familiar number systems, such as the integers, the rational numbers, the real numbers, and the complex numbers under addition, as well as the non-zero rationals, reals, and complex numbers, under multiplication. Other important examples are the group of non-singular matrices under multiplication and the group of invertible functions under composition. Group theory allows for the properties of such structures to be investigated in a general setting. Group theory has extensive applications in mathematics, science, and engineering. Many algebraic structures such as fields and vector spaces may be defined concisely in terms of groups, and group theory provides an important tool for studying symmetry, since the symmetries of any object form a group. Groups are thus essential abstractions in branches of physics involving symmetry principles, such as relativity, quantum mechanics, and particle physics. Furthermore, their ability to represent geometric transformations finds applications in chemistry, computer graphics, and other fields.
What does this mean To feel or show differential regard for?
you mean diferential (no differential) regard, = to respect, show respect
When you divide 94 by 3 there is a remainder of 1. In the place value chart how do you show your remainder?
You show your remainder by circling the equal group of numbers and then the remainder stays the same you don't circle it.
How can you show how numbers are related to each other?
how can I show how numbers are related to each other
Why the set of rationals does not form a group wrt multiplication?
All the elements in a group must be invertible with respect to the operation. The element 0, which belongs to the set does not have an inverse wrt multiplication.
Does 0 and -1 show closure property with respect to addition?
-1
What does estan mean in spanish?
it means to in a way to show respect to another person or a group of boys.
What is term to show respect for?
Show some respect is the term to use when you want someone to show you respect.
How do you show respect for your community?
you can show respect by helping others
How can you Show that the set of integers is a group with respect to addition?
In abstract algebra, a group is a set with a binary operation that satisfies certain axioms, detailed below. For example, the set of integers with addition is a group. The branch of mathematics which studies groups is called group theory. Many of the structures investigated in mathematics turn out to be groups. These include familiar number systems, such as the integers, the rational numbers, the real numbers, and the complex numbers under addition, as well as the non-zero rationals, reals, and complex numbers, under multiplication. Other important examples are the group of non-singular matrices under multiplication and the group of invertible functions under composition. Group theory allows for the properties of such structures to be investigated in a general setting. Group theory has extensive applications in mathematics, science, and engineering. Many algebraic structures such as fields and vector spaces may be defined concisely in terms of groups, and group theory provides an important tool for studying symmetry, since the symmetries of any object form a group. Groups are thus essential abstractions in branches of physics involving symmetry principles, such as relativity, quantum mechanics, and particle physics. Furthermore, their ability to represent geometric transformations finds applications in chemistry, computer graphics, and other fields.
How can you show respect for Jehovah's organization?
how to show respect for jehovah;s organization
When was Show Some Respect created?
Show Some Respect was created in 1985.
How will you show respect to your environment?
I can show my appreciation by taking care of it,paticipating in activities that help the environment,showing respect and loving it.
How do the Japanese people show respect?
There are many different ways that the Japanese show respect. Their entire culture is based on respect.
Why is it essential to show your clients respect?
Because, if you don't respect them how can they have any respect for you?
When was Do You Really Want Me - Show Respect - created?
Do You Really Want Me - Show Respect - was created in 1995.
