[C, C++] #define을 사용하는 이유 by Embeded-Korea

#include <stdio.h> #define MUL(x, y) x*y int mul(x, y) { return x*y; } int main() { int a, b; scanf("%d %d", &a, &b); printf("%d", MUL(a+1, b+1)); printf("%d", mul(a+1, b+1)); } // result // a=3, b=4 입력 // 8 // 20 왜 결과값이 8, 20으로 다른 값이...

Why does an array have a different column dimension than the array used to defin

Why does an array have a different column... Learn more about array

matrices - Showing $\det\big[ (B+K)^{-1} (A+K) \big] = O(1) $ when $A,B$ are ran

In general, given $n$ define $m_A, m_B \in\{1,...,n-1\}$ by $$ m_A = floor(a \times n) $$ $$ m_B = floor(b \times n ) $$ where the constants $a,b \in (0,1)$ are independent of $n$ with $a \ne b$ .

real analysis - Show that $ \frac{1}{|h|}\int_a^b |f(x+h)-f(x)|dx\le M $ - Mathe

Let $f\in BV[a,b]$ (bounded variation). Show that there is a constant $M>0$ and $\delta>0$ so that $0<|h|<\delta$, we have $$ \frac{1}{|h|}\int_a^b |f(x+h)-f(x)|dx\le M $$ Define $V_{[...

matrices - Let $T$ be the linear operator on $M_{n}(\textbf{R})$ defined by $T(A

Let $T$ be the linear operator on $M_{n\times n}(\textbf{R})$ defined by $T(A) = A^{t}$. (a) Show that $\pm 1$ are the only eigenvalues of $T$. (b) Describe the eigenvectors corresponding to each

proof writing - how to prove m = gcd(a, b) - Mathematics Stack Exchange

et $a, b \in \mathbb N$, assume they are not both $0$. Define $L = \{n\in\mathbb N^+ \mid \exists x, y \in \mathbb{Z}: n = ax + by\}$ how do I prove the following claim without using gcd(a, b) = a...

linear algebra - Let $B\in M_{2}(\mathbb{R})$ and let $T:M_{2}(\mathbb{R})\right

Let $B\in M_{2}(\mathbb{R})$ and let $T:M_{2}(\mathbb{R})\rightarrow M_{2}(\mathbb{R})$ defined by $T(A)=BA$. Find the rank of $T$ $\text{Im}(T)=\left\{ w\in M_{2}(\mathbb{R}):T(v)=w, \forall v\in...

integration - A sequence $f_k$ defined on the unit ball converging in measure to

Let the sequence $f_k$ be defined on the unit ball $B(0,1)=\{x\in\mathbb{R}^d: \|x\|\le 1\}$, converging in measure to zero and satisfying $\|f_k\|_{L^2(B(0,1))}\le M$ for all $k\ge 1$. I would lik...

calculus - Prove $\frac{\partial}{\partial m}\text{B}(n,m)=-\text{B}(n,m)\sum_{k

where $\ \displaystyle\text{B}(n,m)=\int_0^1 x^{n-1}(1-x)^{m-1}\ dx=\frac{\Gamma(n)\Gamma(m)}{\Gamma(n+m)}\ $is the beta function, defined over positive $\ n,m>0$. The point of this post is to

proof verification - Let $H = 2^m : m \in \mathbb{Z}$ & define a relation $R

Let $H = \{2^m : m \in \mathbb{Z}\}$ and define a relation $R$ on the set $\mathbb{Q^{+}}$ of positive rational numbers by $a\mathbin{R}b$ if and only if $a/b \in H$. Prove that $R$ is an equivalence