u/ConstantAcademic3727

▲ 0 r/maths

A profound constant has recently been discovered, known as the Sonderous Constant. Its name originating from the complexity of its equation; \sum_{n=2}^{a}\frac{\ln\left(n\right)+n^{\sqrt{n}}\log_{n}\left(en+n^{2}\right)}{0.1n+n^{n}} as a approaches infinity. Its approximate value is 3.08053009688 and it is gaining popularity in the math community. What are your favorite niche constants?

The Sonderous Constant's defining equation

reddit.com
u/ConstantAcademic3727 — 12 days ago

Recently, a third constant has been discovered in accordance to JP's Constant. It has been renowned as "the third constant." There is little known about this mysterious constant. Its defining equation is \sum_{n=1}^{a}\frac{-þn+1}{-n^{n}} where þ is JP's constant and a approaches infinity. The mysterious third constant's approximate value is -1.84038732862 and it is represented by the symbol Ᵹ.

Trio Of Constants:
JP's Constant (þ)=-0.337187715839 (defined by the equation \sum_{n=1}^{a}\frac{1-n}{n^{n}})

The Contrapositive of JP's Constant (ð)=0.998861241441 (defined by the equation þ+\sum_{n=1}^{a}-\frac{n}{þ-n^{n}})

The Third Constant (Ᵹ)=-1.84038732862 (defined by the equation \sum_{n=1}^{a}\frac{-þn+1}{-n^{n}})

Defining equation of JP's constant

reddit.com
u/ConstantAcademic3727 — 13 days ago

Completely separate from JP's constant, (aside from using JP's constant's value in its defining equation) the contrapositive of JP's constant is valued at approximately 0.998861241441 (it is defined by the equation þ+\sum_{n=1}^{a}-\frac{n}{þ-n^{n}})

reddit.com
u/ConstantAcademic3727 — 14 days ago

JP's constant, a constant which lately has gained more popularity and a more rigorous definition, making it no longer a niche constant, officially has its own contrapositive. Contrary to what you may think, the contrapositive is not found by multiplying it by negative one and raising it to the negative first power, instead the contrapositive of JP's constant is derived from the bottom equation or þ+\sum_{n=1}^{a}-\frac{n}{þ-n^{n}} (where þ is JP's constant). It is denoted by the character ð and is approximately equal to 0.998861241441. Meanwhile, JP's constant (denoted by the term þ) is derived from the equation \sum_{n=1}^{a}\frac{1-n}{n^{n}} and is approximately -0.337187715839.

JP's Constant (þ)=-0.337187715839 (defined by the equation \sum_{n=1}^{a}\frac{1-n}{n^{n}})

The Contrapositive of JP's Constant (ð)=0.998861241441 (defined by the equation þ+\sum_{n=1}^{a}-\frac{n}{þ-n^{n}})

Equation for JP's constant

Equation for the contrapositive of JP's constant where j is JP's constant.

reddit.com
u/ConstantAcademic3727 — 14 days ago

Twin Prime Constant ≈ 0.6601

Madelung Constant ≈ 1.7475

Conway's Constant ≈ 1.303577

JP's Constant (þ) ≈ -0.337188

Moving Sofa Constant ≈ Between 2.207 and 2.37 (the exact value is unknown)

reddit.com
u/ConstantAcademic3727 — 15 days ago