I found an answer from en.wikipedia.org

**Inequality** (**mathematics**) - Wikipedia

In **mathematics**, an **inequality** is a relation that holds between two values when
they are ... If the values in **question** are elements of an ordered set, such as the
integers or the real numbers, .... Note that both (Q, +, ��, ≤) and (R, +, ×, ≤) are
ordered fields, but ≤ cannot be defined in order to **make** (C, +, ×, ≤) an ..... 67 (
**first** ed.) ...

For more information, see **Inequality** (**mathematics**) - Wikipedia

I found an answer from en.wikipedia.org

Variational **inequality** - Wikipedia

In **mathematics**, a variational **inequality** is an **inequality** involving a functional,
which has to be solved for all possible values of a given variable, belonging
usually to a convex set. The **mathematical** theory of variational **inequalities** was
initially **developed** to deal with equilibrium **problems**, ... The **first problem**
involving a variational **inequality** was the Signorini **problem** ...

For more information, see Variational **inequality** - Wikipedia

I found an answer from math.stackexchange.com

real analysis - Reverse Triangle **Inequality** Proof - **Mathematics** ...

Move |x| to the right hand side in the **first inequality** and |y| to the right hand side
in ... Combining these two facts together we get the reverse triangle inequality:.

For more information, see real analysis - Reverse Triangle **Inequality** Proof - **Mathematics** ...

I found an answer from math.stackexchange.com

random graphs - How does this **first inequality** lead to the second ...

Mar 28, 2017 **...** ... that would be a **problem**. It's a **problem** we don't have here, because making λ
bigger only **makes** the term raised to the k -th power smaller.

For more information, see random graphs - How does this **first inequality** lead to the second ...

I found an answer from mathworld.wolfram.com

Triangle **Inequality** -- from Wolfram MathWorld

Geometrically, the right-hand part of the triangle **inequality** states that the sum ...
Handbook of **Mathematical** Functions with Formulas, Graphs, and **Mathematical**
Tables, ... Explore anything with the **first** computational knowledge engine. ...
Unlimited random practice **problems** and answers with **built**-in Step-by-step
solutions.

For more information, see Triangle **Inequality** -- from Wolfram MathWorld

I found an answer from hsm.stackexchange.com

**mathematics** - Who attached Buniakovsky's name to the Cauchy ...

Mar 3, 2016 **...** Oddly enough, Cauchy **did** not use his **inequality** in his text, except in some ...
The **first** time Cauchy's **inequality** was applied in earnest by anyone was in ... the
calculation of the roots of **algebraic** and transcendental equations.

For more information, see **mathematics** - Who attached Buniakovsky's name to the Cauchy ...

I found an answer from mathworld.wolfram.com

Cauchy's **Inequality** -- from Wolfram MathWorld

The **inequality** is sometimes also called Lagrange's **inequality** (Mitrinović 1970, p.
... so the solution is complex and can be found using the quadratic **equation** ...

For more information, see Cauchy's **Inequality** -- from Wolfram MathWorld

I found an answer from hsm.stackexchange.com

astronomy - When **did** it become possible to predict the time and ...

Another **question** is how far in advance one could predict. ... The **first inequality** is
die to Hipparchus and its maximal amplitude is about 6 degrees. ... Further
**mathematical** achievements of 19-th century **made** possible very ...

For more information, see astronomy - When **did** it become possible to predict the time and ...

The signs for greater than (>) and less than (<) were introduced in 1631 in “Artis Analyticae Praxis ad Aequationes Algebraicas Resolvendas.” The book was the work of British mathematician, Thomas Harriot, and was published 10 years after his death in 1621. The symbols actually were invented by the book’s editor. Harriot initially used triangular symbols which the editor altered to resemble the modern less/greater than symbols. Interestingly, Harriot also used parallel lines to denote equality. However, Harriot’s equal sign was vertical (II) rather than horizontal (=).