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factorial - Why does 0! = 1? - Mathematics Stack Exchange

Why does 0! = 1 0! = 1? All I know of factorial is that x! x! is equal to the product of all the numbers that come before it. The product of 0 and anything is 0 0, and seems like it would be

algebra precalculus - Zero to the zero power is $0^0=1 ...

As for the simplified versions of the above laws, the same can be said for 00 = 0 0 0 = 0, so this cannot be a justification for defining 00 = 1 0 0 = 1. 00 0 0 is ambiguous in the same way that

Seeking elegant proof why 0 divided by 0 does not equal 1

10 Several years ago I was bored and so for amusement I wrote out a proof that 0 0 0 0 does not equal 1 1. I began by assuming that 0 0 0 0 does equal 1 1 and then was eventually able to

Is $0$ a natural number? - Mathematics Stack Exchange

Is there a consensus in the mathematical community, or some accepted authority, to determine whether zero should be classified as a natural number? It seems as though formerly $0$ was

Justifying why 0/0 is indeterminate and 1/0 is undefined

.0 0 = x 0 0 = x 0x = 0 0 x = 0 x x can be any value, therefore 0 0 0 0 can be any value, and is indeterminate. 1 0 = x 1 0 = x 0x = 1 0 x = 1 There is no such x x that

I have learned that 1/0 is infinity, why isnt it minus infinity?

92 The other comments are correct: 1 0 1 0 is undefined. Similarly, the limit of 1 x 1 x as x x approaches 0 0 is also undefined. However, if you take the limit of 1 x 1 x as x x approaches

Difference between quot;uot;, quot;uot;, and quot;uot; - Mathematics Stack Exchange

In mathematical notation, what are the usage differences between the various approximately-equal signs quot;uot;, quot;uot;, and quot;uot;? The Unicode standard lists all of them inside the Mathematical

Mathematics Stack Exchange

Qamp;A for people studying math at any level and professionals in related fields

How do I explain 2 to the power of zero equals 1 to a child

The exponent 0 0 provides 0 0 power (i.e. gives no power of transformation), so 30 3 0 gives no power of transformation to the number 1 1, so 30 = 1 3 0 = 1. Once you have the intuitive

Newest Questions - Mathematics Stack Exchange

Mathematics Stack Exchange is a platform for asking and answering questions on mathematics at all levels.

factorial - Why does 0! = 1? - Mathematics Stack Exchange

Why does 0! = 1 0! = 1? All I know of factorial is that x! x! is equal to the product of all the numbers that come before it. The product of 0 and anything is 0 0, and seems like it would be

algebra precalculus - Zero to the zero power is $0^0=1 ...

As for the simplified versions of the above laws, the same can be said for 00 = 0 0 0 = 0, so this cannot be a justification for defining 00 = 1 0 0 = 1. 00 0 0 is ambiguous in the same way that

Seeking elegant proof why 0 divided by 0 does not equal 1

10 Several years ago I was bored and so for amusement I wrote out a proof that 0 0 0 0 does not equal 1 1. I began by assuming that 0 0 0 0 does equal 1 1 and then was eventually able to

Is $0$ a natural number? - Mathematics Stack Exchange

Is there a consensus in the mathematical community, or some accepted authority, to determine whether zero should be classified as a natural number? It seems as though formerly $0$ was

Justifying why 0/0 is indeterminate and 1/0 is undefined

.0 0 = x 0 0 = x 0x = 0 0 x = 0 x x can be any value, therefore 0 0 0 0 can be any value, and is indeterminate. 1 0 = x 1 0 = x 0x = 1 0 x = 1 There is no such x x that

I have learned that 1/0 is infinity, why isnt it minus infinity?

92 The other comments are correct: 1 0 1 0 is undefined. Similarly, the limit of 1 x 1 x as x x approaches 0 0 is also undefined. However, if you take the limit of 1 x 1 x as x x approaches

Difference between quot;uot;, quot;uot;, and quot;uot; - Mathematics Stack Exchange

In mathematical notation, what are the usage differences between the various approximately-equal signs quot;uot;, quot;uot;, and quot;uot;? The Unicode standard lists all of them inside the Mathematical

Mathematics Stack Exchange

Qamp;A for people studying math at any level and professionals in related fields

How do I explain 2 to the power of zero equals 1 to a child

The exponent 0 0 provides 0 0 power (i.e. gives no power of transformation), so 30 3 0 gives no power of transformation to the number 1 1, so 30 = 1 3 0 = 1. Once you have the intuitive

Newest Questions - Mathematics Stack Exchange

Mathematics Stack Exchange is a platform for asking and answering questions on mathematics at all levels.

factorial - Why does 0! = 1? - Mathematics Stack Exchange

Why does 0! = 1 0! = 1? All I know of factorial is that x! x! is equal to the product of all the numbers that come before it. The product of 0 and anything is 0 0, and seems like it would be

algebra precalculus - Zero to the zero power is $0^0=1 ...

As for the simplified versions of the above laws, the same can be said for 00 = 0 0 0 = 0, so this cannot be a justification for defining 00 = 1 0 0 = 1. 00 0 0 is ambiguous in the same way that

Seeking elegant proof why 0 divided by 0 does not equal 1

10 Several years ago I was bored and so for amusement I wrote out a proof that 0 0 0 0 does not equal 1 1. I began by assuming that 0 0 0 0 does equal 1 1 and then was eventually able to

Is $0$ a natural number? - Mathematics Stack Exchange

Is there a consensus in the mathematical community, or some accepted authority, to determine whether zero should be classified as a natural number? It seems as though formerly $0$ was

Justifying why 0/0 is indeterminate and 1/0 is undefined

.0 0 = x 0 0 = x 0x = 0 0 x = 0 x x can be any value, therefore 0 0 0 0 can be any value, and is indeterminate. 1 0 = x 1 0 = x 0x = 1 0 x = 1 There is no such x x that

I have learned that 1/0 is infinity, why isnt it minus infinity?

92 The other comments are correct: 1 0 1 0 is undefined. Similarly, the limit of 1 x 1 x as x x approaches 0 0 is also undefined. However, if you take the limit of 1 x 1 x as x x approaches

Difference between quot;uot;, quot;uot;, and quot;uot; - Mathematics Stack Exchange

In mathematical notation, what are the usage differences between the various approximately-equal signs quot;uot;, quot;uot;, and quot;uot;? The Unicode standard lists all of them inside the Mathematical

Mathematics Stack Exchange

Qamp;A for people studying math at any level and professionals in related fields

How do I explain 2 to the power of zero equals 1 to a child

The exponent 0 0 provides 0 0 power (i.e. gives no power of transformation), so 30 3 0 gives no power of transformation to the number 1 1, so 30 = 1 3 0 = 1. Once you have the intuitive

Newest Questions - Mathematics Stack Exchange

Mathematics Stack Exchange is a platform for asking and answering questions on mathematics at all levels.

factorial - Why does 0! = 1? - Mathematics Stack Exchange

Why does 0! = 1 0! = 1? All I know of factorial is that x! x! is equal to the product of all the numbers that come before it. The product of 0 and anything is 0 0, and seems like it would be

algebra precalculus - Zero to the zero power is $0^0=1 ...

As for the simplified versions of the above laws, the same can be said for 00 = 0 0 0 = 0, so this cannot be a justification for defining 00 = 1 0 0 = 1. 00 0 0 is ambiguous in the same way that

Seeking elegant proof why 0 divided by 0 does not equal 1

10 Several years ago I was bored and so for amusement I wrote out a proof that 0 0 0 0 does not equal 1 1. I began by assuming that 0 0 0 0 does equal 1 1 and then was eventually able to

Is $0$ a natural number? - Mathematics Stack Exchange

Is there a consensus in the mathematical community, or some accepted authority, to determine whether zero should be classified as a natural number? It seems as though formerly $0$ was

Justifying why 0/0 is indeterminate and 1/0 is undefined

.0 0 = x 0 0 = x 0x = 0 0 x = 0 x x can be any value, therefore 0 0 0 0 can be any value, and is indeterminate. 1 0 = x 1 0 = x 0x = 1 0 x = 1 There is no such x x that

I have learned that 1/0 is infinity, why isnt it minus infinity?

92 The other comments are correct: 1 0 1 0 is undefined. Similarly, the limit of 1 x 1 x as x x approaches 0 0 is also undefined. However, if you take the limit of 1 x 1 x as x x approaches

Difference between quot;uot;, quot;uot;, and quot;uot; - Mathematics Stack Exchange

In mathematical notation, what are the usage differences between the various approximately-equal signs quot;uot;, quot;uot;, and quot;uot;? The Unicode standard lists all of them inside the Mathematical

Mathematics Stack Exchange

Qamp;A for people studying math at any level and professionals in related fields

How do I explain 2 to the power of zero equals 1 to a child

The exponent 0 0 provides 0 0 power (i.e. gives no power of transformation), so 30 3 0 gives no power of transformation to the number 1 1, so 30 = 1 3 0 = 1. Once you have the intuitive

Newest Questions - Mathematics Stack Exchange

Mathematics Stack Exchange is a platform for asking and answering questions on mathematics at all levels.

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