But solving model problem can not be done without mathematics.
解决模型问题又往往离不开数学语言。
The research in the issuing scope of national debts cannot do without mathematics thinking modes and mathematics methods, such as qualitative analysis and quantitative analysis.
国债发行规模的研究离不开数学思维方式和数学方法，如定性分析与定量分析；
A serious study of physics is impossible without some knowledge of mathematics.
没有一点数学知识是不能开展严谨的物理学研究的。
Without a pause we donned our tunics on our dusty bodies, and started on our courses of literature, mathematics, geography and history.
操练完毕，还没抖掉身上的灰尘，我们就得披上外褂，开始读文学、数学、地理和历史。
To learn more, researchers decided to explore the relationship between children's mathematics achievement and their innate ability to estimate and compare quantities without counting.
为了了解更多，研究者决定探究一下孩子们的数学成绩和他们与生俱来的无需计算就能估计与比较数量的能力之间的关系。
The science of mathematics presents the most brilliant example of how pure reason may successfully enlarge its domain without the aid of experience.
数学科学呈现出一个最辉煌的例子，表明不用借助实验，纯粹的推理能成功地扩大人们的认知领域。
I see how that might give you some incentive, but I hope the mathematics also inspires you without the monetary prospects.
这事儿看来给了你一些鼓励，不过我希望数学还能激励你多一些非功利的想法。
The result shows that the Finnish students' capabilities in reading, science, mathematics and question solving are high as a whole, without polarization.
国际测评结果显示，芬兰学生在阅读、科学、数学、解决问题能力方面不仅整体水平高，且没有两极分化现象。
Neednt calculate right room capacity, because of right ventricle's form that without accurate mathematics model come and calculate right ventricular capacity.
不用计算右室容量，由于右室腔形状复杂很难用一个固定而准确的数学模型来计算右室容量。
This blind adaptive algorithm was studied without channel estimation. The algorithm is equivalent to an equal gain combining in mathematics form.
该算法在数学形式上可等效为等增益合并的形式，并可分别由子空间和最小最大滤波的方法来求解。
In fact, he's written a serious treatise about the craft of prediction-without academic mathematics-cheerily aimed at lay readers.
实际上，他写的是一篇关于预测技巧的正儿八经的论文，书里没有理论性的数学运算，它是供外行读者们读来消遣的。
Science and mathematics are important but, without the humanities, we will not be a strong people.
科学和数理等学科虽然重要，但是没有人文素养的背景，我们是不可能成为强大的民族。
If in computer science we should arrive at certainty without doubt and truth without error, it behooves us to place the foundations of it in mathematics. - Roger Bacon.
要使计算机科学的内容准确无疑和真实无误，就应当将数学作为它的基础。-罗杰·培根。
B he love mathematics so much that he will spend a whole day solving mathematical problems without remembering to have meals.
他热爱数学，以至于他会花一整天没有解决数学问题而忘记吃饭。
Only half of the students who begin primary school complete the cycle, leaving far too many children without basic mastery of language and mathematics and the acquisition of life skills.
只有一半的学生能完成初等教育，还有很多孩子不能掌握基础语言和数学运算及生活技能。
Only half of the students who begin primary school complete the cycle, leaving far too many children without basic mastery of language and mathematics and the acquisition of life skills.
只有一半的学生能完成初等教育，还有很多孩子不能掌握基础语言和数学运算及生活技能。
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