약 20 명의 구독자를 보유한 카폼 CARFORM의 블로그. 약 110 건의 게시물이 있습니다. 광주 대표 외형복원 전문점★카폼(CARFORM)★ 버블세차/광택&코팅/실내크리닝/외형복원(도색.덴트)/언더코팅...
How do I prove (with strong induction) that every positive integer $n$ has a representation in the form $$n = c_r2^r + c_{r−1}2^{r−1} + \cdots + c_2 2^2 + c_1 2 + c_0$$ where $r$ is a nonnegative i...
(a) Let $\omega$ a $1-$form defined on the open set $ U \subset \mathbb R ^n$ and $ c:[a,b] \to U$ a $ C^1 -$differentiable curve such that $ |\omega (c(t))| \leq M \quad \forall t \in [a,b]$ Prov...
Consider a momentum-integral of the form in $d$ spatial dimensions:$$C({\bf r})=\int\frac{{\rm d}^dk}{(2\pi)^d}\frac{{\rm e}^{{\rm i}{\bf k}\cdot{\bf r}}}{|{\bf k}|^2+m^2}$$where ${\bf r}=(x_1,x_2,...
normal form (named after Otto Hesse) is an equation used to describe a line in the Euclidean plane R 2 {\displaystyle... from a line a x + b y + c = 0 {\displaystyle ax+by+c=0} to a point...
Let's consider the function defined by the integral: $$R(a,b,c,d)=\int_0^\infty \frac{dx}{\sqrt{(x+a)(x+b)(x+c)(x+d)}}$$ I'm interested in the case $a,b,c,d \in \mathbb{R}^+$. Obviously, the fun...
A: C(2)BrClFI can form 6 different geometrical isomers. R : Each one structure is geometrical isomer of other five structures.
I was asked to prove that the set $C(K)=\{a\in K| a\cdot r=r \cdot a, \forall\; r \in K\}$ forms a commutative subring inside the ring $K$. However unit sets do not contain the element $0$, so they...
Is there a closed form expression for $$ S_\ell = \int\limits_{a}^{c}dr \int\limits_{b}^{d} dr' \, \frac{r r'}{\sqrt{(r - a)(r' - b)(r-c)(r'-d)}} \frac{[\min( r , r')]^{\ell}}{[\max(r,r')]^{\ell+1}...
In mathematics, the Carlson symmetric forms of elliptic integrals are a small canonical set of elliptic integrals to which all others may be reduced. They are a modern alternative to the Legendre forms. The Legendre forms may be expressed in terms of the Carlson forms and vice versa. The C...