Category:Reciprocals
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This category contains results about Reciprocals.
Definitions specific to this category can be found in Definitions/Reciprocals.
Let $X$ be a number or an expression such that $X$ is not equal to, nor evaluates to, zero.
Then $\dfrac 1 X$ is called the reciprocal of $X$.
Subcategories
This category has the following 30 subcategories, out of 30 total.
E
- Examples of Reciprocals (74 P)
I
- Integer Reciprocal Space (13 P)
L
O
- Ordering of Reciprocals (3 P)
P
R
- Reciprocal of Logarithm (3 P)
- Reciprocal of Null Sequence (2 P)
S
U
Pages in category "Reciprocals"
The following 84 pages are in this category, out of 84 total.
A
- Approximation to Reciprocal times Derivative of Gamma Function
- Arccosecant of Reciprocal equals Arcsine
- Arccosine of Reciprocal equals Arcsecant
- Arccotangent of Reciprocal equals Arctangent
- Arcsecant of Reciprocal equals Arccosine
- Arcsine of Reciprocal equals Arccosecant
- Arctangent of Reciprocal equals Arccotangent
C
D
G
I
L
M
N
- Newton-Mercator Series/Examples/2
- Nth Derivative of Reciprocal
- Nth Derivative of Reciprocal of Mth Power
- Nth Derivative of Reciprocal of Mth Power/Corollary
- Number times Recurring Part of Reciprocal gives 9-Repdigit
- Number to Reciprocal Power is Decreasing
- Numbers the Multiple of whose Reciprocal are Cyclic Permutations
P
R
- Rational Number Expressible as Sum of Reciprocals of Distinct Squares
- Real Area Hyperbolic Cosine of Reciprocal equals Real Area Hyperbolic Secant
- Real Area Hyperbolic Sine of Reciprocal equals Real Area Hyperbolic Cosecant
- Real Area Hyperbolic Tangent of Reciprocal equals Real Area Hyperbolic Cotangent
- Reciprocal as Summation of Binomial Coefficients of Reciprocals
- Reciprocal Function is Continuous on Real Numbers without Zero
- Reciprocal Function is Discontinuous at Zero
- Reciprocal Function is Strictly Decreasing
- Reciprocal Function is Unbounded on Open Unit Interval
- Reciprocal of 89 as Sum of Fibonacci Numbers by Negative Powers of 10
- Reciprocal of Complex Exponential
- Reciprocal of Complex Number
- Reciprocal of Complex Number in terms of Conjugate and Modulus
- Reciprocal of Holomorphic Function
- Reciprocal of Logarithm
- Reciprocal of Null Sequence
- Reciprocal of One Minus Secant
- Reciprocal of One Plus Cosecant
- Reciprocal of Power of Complex Number
- Reciprocal of Quotient of Real Numbers
- Reciprocal of Real Exponential
- Reciprocal of Real Number is Non-Zero
- Reciprocal of Square of 1 Less than Number Base
- Reciprocal of Strictly Negative Real Number is Strictly Negative
- Reciprocal of Strictly Positive Real Number is Strictly Positive
- Reciprocal Sequence is Strictly Decreasing
- Reciprocals of Odd Numbers adding to 1
- Reciprocals whose Decimal Expansion contain Equal Numbers of Digits from 0 to 9
S
- Sequence of Powers of Reciprocals is Null Sequence
- Sequence of Reciprocals is Null Sequence
- Sequence of Smallest Numbers whose Reciprocal has Period n
- Sum of Reciprocals in Base 10 with Zeroes Removed
- Sum of Sequence of Products of 3 Consecutive Reciprocals
- Sum of Sequence of Products of 3 Consecutive Reciprocals/Corollary
- Sum of Sequence of Products of Consecutive Odd and Consecutive Even Reciprocals
- Sum of Sequence of Products of Consecutive Odd Reciprocals
- Sum of Sequence of Products of Consecutive Reciprocals
- Sum of Sequence of Products of Squares of 3 Consecutive Reciprocals
- Sum of Sequence of Products of Squares of 3 Consecutive Reciprocals/Proof 1
- Sum of Sequence of Products of Squares of 3 Consecutive Reciprocals/Proof 2
- Sum of Sequence of Products of Squares of Consecutive Odd Reciprocals
- Sum of Sequence of Reciprocals of 3 n + 1 Alternating in Sign
- Sum of Sequence of Reciprocals of 3 n + 2 Alternating in Sign
- Sum of Sequence of Reciprocals of 4 n + 1 Alternating in Sign