- function. Euler's
formula states that, for any real number
x, one has e i
x = cos
x + i sin
x , {\displaystyle e^{ix}=\cos
x+i\sin
x,}
where e is the...
- the
values of
x {\displaystyle
x}
satisfying the equation,
called the
roots or zeros, can be
found using the
quadratic formula,
x = − b ± b 2 − 4...
-
x −
x 1 ) (
x −
x 2 ) =
x 2 − (
x 1 +
x 2 )
x +
x 1
x 2 = 0 {\displaystyle \left(
x-
x_{1}\right)\left(
x-
x_{2}\right)=
x^{2}-\left(
x_{1}+
x_{2}\right)
x+
x_{1}x_{2}=0}...
- open
formula. For instance, the
universal quantifier ∀ {\displaystyle \forall } in the first-order
formula ∀
x P (
x ) {\displaystyle \forall
xP(
x)} expresses...
-
Formula One,
commonly abbreviated as F1, is the
highest class of
international racing for open-wheel single-seater
formula racing cars
sanctioned by the...
- inserted—to make
formulas easier to read. Thus the
formula: ¬ ∀
x P (
x ) → ∃
x ¬ P (
x ) {\displaystyle \lnot \forall
xP(
x)\to \exists
x\lnot P(
x)}
might be...
- In science, a
formula is a
concise way of
expressing information symbolically, as in a
mathematical formula or a
chemical formula. The
informal use of...
-
formula gives the
value of Z {\displaystyle Z} that
solves the
equation e
X e Y = e Z {\displaystyle e^{
X}e^{Y}=e^{Z}} for
possibly noncommutative X and...
-
function φ
X {\displaystyle \varphi _{
X}} by the
inversion formula: f
X (
x ) = 1 2 π ∫ R e − i t
x φ
X ( t ) d t . {\displaystyle f_{
X}(
x)={\frac {1}{2\pi...
- f (
x ) d
x ≈ ∑ i = 0 n w i f (
x i ) , {\displaystyle \int _{a}^{b}f(
x)\,dx\approx \sum _{i=0}^{n}w_{i}\,f(
x_{i}),}
where for a
closed formula,
x i =...
