The future of computer science will be shaped by those who can seamlessly blend mathematical theory with computational practice.
计算机科学的未来将由那些能够无缝融合数学理论与计算实践的人塑造。
The elegance of a mathematical proof often mirrors the efficiency of the algorithm it describes.
数学证明的优雅常常反映了它所描述的算法的效率。
In the age of big data, the mathematical principles of data structures and algorithms have become more critical than ever.
在大数据时代,数据结构和算法的数学原理变得比以往任何时候都更加关键。
The synergy between theoretical computer science and applied mathematics has led to breakthroughs that were once thought impossible.
理论计算机科学与应用数学之间的协同作用带来了曾经被认为不可能的突破。
Mathematical intuition often guides the development of algorithms, but it is the rigorous proof that ensures their correctness and efficiency.
数学直觉常常指导算法的发展,但确保其正确性和效率的是严格的证明。
The quest for efficient algorithms is, at its core, a mathematical endeavor that challenges our understanding of complexity and computability.
追求高效算法的核心是一项数学努力,它挑战了我们对复杂性和可计算性的理解。
Understanding the limits of computation requires a deep dive into the mathematical foundations that underpin algorithmic complexity.
理解计算的极限需要深入研究支撑算法复杂性的数学基础。
The interplay between discrete mathematics and computer science has been a fertile ground for innovation and discovery.
离散数学与计算机科学之间的相互作用一直是创新和发现的沃土。
In the realm of computer science, mathematical rigor is the cornerstone upon which reliable and efficient algorithms are built.
在计算机科学领域,数学严谨性是构建可靠高效算法的基石。
The beauty of mathematics lies not only in its abstract elegance but also in its profound ability to model and solve real-world problems.
数学之美不仅在于其抽象的优雅,还在于其建模和解决现实世界问题的深刻能力。