Translation of the Latin student anthem, made by 2nd-year Faculty History (specialty "American and European Studies", 1st group).

‎Let $G$ be a finite group‎. ‎The degree pattern of $G$ denoted by‎ ‎$D(G)$ is defined as follows‎: ‎If $pi(G)={p_{1},p_{2},...,p_{k}}$ such that‎ ‎$p_{1}

اجرای موفقیت‌آمیز انواع مدل‌های در مقیاس منطقه‌ای به انتخاب نوع داده و الگوریتم مناسب بازمی‌گردد. این نکته، کنار ممکن‌نبودن اندازه‌گیری تمامی اجزای طبیعت، منجر شکل‌گیری تحولی بزرگ شیوة درک پدیده‌ها شده است. شیوه، می‌توان هر جزء از طبیعت را به‌صورت یک عدد کمّی هندسة فراکتال درآورد. پژوهش حاضر، به‌منظور بررسی بعد شبکة زهکشی روی سازندهای زمین‌شناسی حوضة دشت یزد‌ـ اردکان، هم‌زمان الگوریتم‌های جریان ...

‎Let $p(z)$ be a polynomial of degree $n$ and for a complex number $alpha$‎, ‎let $D_{alpha}p(z)=np(z)+(alpha-z)p'(z)$ denote the polar derivative of the polynomial p(z) with respect to $alpha$‎. ‎Dewan et al proved‎ ‎that if $p(z)$ has all its zeros in $|z| leq k, (kleq‎ ‎1),$ with $s$-fold zeros at the origin then for every‎ ‎$alphainmathbb{C}$ with $|alpha|geq k$‎, ‎begin{align*}‎ ‎max_{|z|=...

Expression of the heterochronic microRNA let-7 is tightly correlated with the onset of adult development in many animals, suggesting that it functions as an evolutionarily conserved developmental timer. This hypothesis has now been confirmed by studies in Drosophila.

Let G be a (p, q) graph. Let f : V (G) → {1, 2, . . . , k} be a map. For each edge uv, assign the label gcd (f(u), f(v)). f is called k-prime cordial labeling of G if |vf (i) − vf (j)| ≤ 1, i, j ∈ {1, 2, . . . , k} and |ef (0) − ef (1)| ≤ 1 where vf (x) denotes the number of vertices labeled with x, ef (1) and ef (0) respectively denote the number of edges labeled with 1 and not labeled with 1....

Let G be a (p, q) graph. Let k be an integer with 2 ≤ k ≤ p and f from V (G) to the set {1, 2, . . . , k} be a map. For each edge uv, assign the label |f(u) − f(v)|. The function f is called a k-difference cordial labeling of G if |νf (i) − vf (j)| ≤ 1 and |ef (0) − ef (1)| ≤ 1 where vf (x) denotes the number of vertices labelled with x (x ∈ {1, 2 . . . , k}), ef (1) and ef (0) respectively den...

Let $(e_j)_{j=1}^\infty $ denote a Schauder basis for Banach space $X$, and let $(e_j^*)_{j=1}^\infty the biorthogonal functionals. We say that has factorization property if identity operator $I_{X^*}$ on $X^