讲二次根式以前一定要先讲实数理论吗？

1.前言根据现行全日制中学数学数学大纲,讲二次根式以前,先讲数的开方和实数概念.这是完全正确的.因为二次根式的理论基础是有理数的平方根,因此必须先讲数的开方,由此就出现了无理数.这就迫使我们非讲实数概念不可.这是初中代数教学中一大难点.对于初中学生来说,要理解实数概念太困难了.可是不讲又不行.二次根式就无法进行了.没办法,只好马马虎虎地讲.目前中学数学大纲就是采取这个方针.     

高效液相色谱手性固定相的研究 Ⅰ.L-缬氨酸-叔丁酰胺型固定相的制备及对映体拆分

本文报道一种新型手性L-缬氨酸-叔丁酰胺型固定相的制备及用它直接拆分对映体的实验。实验结果表明,这种手性固定相对外消旋氨基酸衍生物有较好的拆分效果。洗脱液中异丙醇的含量对拆分效果有较大影响,异丙醇的含量增加,拆分效果下降。拆分样品的结构对总分离度(R_s)也有一定影响,在四种不同洗脱液系统中,DL-苯丙氨酸衍生物的R_s都比DL-缬氨酸衍生物和DL-亮氨酸衍生物小。流量0.6～2.0mL/min时对总分离度无明显影响。实验结果也证明,四种氨基酸衍生物都是D型的先洗脱。     

双硫腙—泡沫塑料富集原子吸收光谱测定化探样品中的银

近年来,国内外对泡沫塑料分离富集微量金属元素已有很多报道。我们参照双硫腙萃取测银的条件,拟定双硫腙—泡塑富集、硫脲解脱、加热雾室火焰原子吸收光谱仪测定痕量银的分析方法,基本能满足化探分析要求。     

DECARBOXYLATION DURING THE FORMATION OF THE FLUORESCENT NAD DERIVATIVE OF D-GLYCERALDEHYDE-3-PHOSPHATE DEHYDROGENASE

During the formation of the fluorescent NAD derivative of rabbit muscle D-glyceral-dehydc-3-phosphate dehydrogenase modified with ~(14)C-1-iodoacetate by ultraviolet irradiation about 1/2 of the total radioactivity is removed as CO_2, when the fluorescent intensity has reached a maximum, With a weak light source, it can be shown that the formation of the fluorescent derivative precedes the decarboxylation. For the Bacillus stearothermophilus enzyme the formation of the fluorescent NAD derivative is an all-sites reaction and is accompanied by the removal of 4 CO_2 molecules showing conclusively that CO_2 has come from the subunits carrying the fluorophore.It is known that the yeast enzyme can be carboxymethylated either at 4, or under carefully controlled conditions, at 2 of the active site SH groups. Experiments with ~(14)C-labelled NAD~ show that both the tetrakis and his carboxymethylated enzymes form 2 molecules of the fluorescent NAD derivative. However, for the biscarboxymethylated enzyme, only on     

一种蓝色聚合物激光材料

聚合物作为一种有机发光材料,由于在平板显示和光电子器件中的良好应用前景而受到广泛研究［１～２］．近年来,一个重要进展是在聚合物中观测到了受激发射（简称Ｐｏｌｙ－ｍｅｒ激光）现象［３～６］．Ｐｏｌｙｍｅｒ激光最早是在溶液中实现的［３～４］．作为一种新型...     

sine-Gordon模型与高斯波泛函方法

应用高斯波泛函方法,研究了sine-Gordon模型的基态、单粒子态和两粒子态。在Cole-man临界点附近,sine-Gordon系统趋于零质量玻色子系统,从而具有共形对称性。本文同时证明,当重整化质量有限时,在两粒子态中存在束缚态。 关键词：     

基于Shannon-Cosine小波精细积分法的壁画降噪修复方法

为修复受破损且噪声点众多的壁画图像,提出了用偏微分方程（partial differential equation,PDE）扩散的方法对图像进行降噪修复。针对PDE法求解精度较低的问题,提出了一种Shannon-Cosine小波精细积分法,运用小波数值方法对偏微分方程进行离散处理,降低其方程组规模,并采用精细积分法求解,有效提高了计算速度。试验结果表明,采用该算法对受损壁画降噪处理后,视觉上,图像边界更清晰,且噪声点得到有效减少,达到了保边降噪的效果,更符合人眼的视觉效果;客观上,与中值滤波、均值滤波和维纳滤波方法相比,采用本算法处理后的图像其PSNR值和SSIM值均最大。因此,运用Shannon-Cosine小波精细积分法求解图像的PDE模型是可行的,取得了较好的图像降噪效果。     

The stability of a non-extensive relativistic Fermi system

Based on the statistical theory of non-extensive relativity,and using theoretical analysis and numerical simulation,the non-extensive mechanical stability of ultra-relativistic free Fermi gas is investigated.The expressions of the stability conditions under high and low temperatures are given,and the mechanisms of the influences of temperature,ultrarelativistic effect,and non-extensive parameter q on stability are analysed.Our results show that at high temperature and under the condition of q < 1,the stability of a non-extensive system is weaker than that of an extensive system,and the relativistic effect reduces system stability as compared with a non-relativistic system.However,under the condition of q > 1,the stability of the non-extensive system is stronger than that of the extensive system,and the relativistic effect strengthens the system stability as compared with the non-relativistic system.In addition,under the condition of low temperature,the variation of the stability of the non-extensive system with temperature has a turning point.     

Persistent Current in a Mesoscopic Ring Side-Attached with a Quantum Dot

We theoretically investigate properties of the ground state of a closed dot-ring system with a magnetic flux in the Kondo regime by means of a tight-banding Anderson Hamiltonian, using the Slave-Boson mean-field approach. The persistent current shows interesting dependences on the parity and on the size of the system. The signature of Kondo resonance at ζk/L = 0.15 is expected to be observed experimentally in the future. With the intensity of the coupling tD changes from weak to strong, the properties of the system changes largely, which are different from the in-line one because of the attached dot.     

水热合成ZnS:Cu,Al纳米晶体及其全色发射光谱特性

报道了水热法(200℃)直接合成的ZnS:Cu,Al纳米晶及其发光特性.ZnS:Cu,Al纳米晶粒径约15 nm,尺寸分布窄,分散性好,具有纯立方相的类球形结构.借助X射线能谱法(EDX)和原子吸收光谱仪,研究了样品中S,Zn和Cu的含量并详细研究了光致发光(PL)光谱的特性.结果证明存在大量Zn空缺,Cu离子经过水热处理后已掺入到ZnS基体中.PL光谱特性为:样品的激发谱为宽带谱,337 nm激发时样品发出很强的绿光,370～420 nm之间任意波长激发时,发射谱均为宽带谱,且它们基本重合.表明此材料作为近紫外(370～410 nm)发光二极管((n)-UV(370～410 nm)LED)用荧光粉及全色荧光粉具有很大的应用潜力.样品在375 nm激发下全色宽带发射谱是460,510和576 nm带光谱的高斯叠加.当Cu/Zn,Cu/Al和S/Zn分别为3×10-4,2和3.0时,于室内照明条件下肉眼可观察到白色发光.