The use of confocal microscopy for imaging the elliptical structures of the confocal ellipsoid, commonly referred to as confocal-shaped ellipsoid imaging, has revolutionized the study of cellular and molecular structures. Confocal microscopy captures high-resolution, three-dimensional images of specimens by eliminating out-of-focus light, allowing for deep tissue imaging and precise measurement of cellular and subcellular structures. This technology has been instrumental in advancing research in fields such as biology, medicine, and materials science. Example sentences using the terms "confocal," "ellipsoid," and "confocal ellipsoid" in research articles and technical reports have become increasingly prevalent, reflecting the widespread adoption and impact of this imaging technique. These sentences provide valuable insight into the innovative applications of confocal-shaped ellipsoid imaging, demonstrating its importance in a variety of research fields.
共焦椭圆,confocal ellipsoid
1)confocal ellipsoid共焦椭圆
英文短句/例句
1.Calculation of the electric field and capacitance of a confocal elliptic capacitor再论共焦椭圆柱形电容器的电场及电容
2.Performance Analysis of the Elliptic Beam Ring-focus Antenna with a Variable Focal Distance椭圆波束变焦距环焦天线的性能分析
3.The Research on the Generalized Elliptic Curve with Three Foci;“三焦点”广义椭圆曲线及其传动特性
4.The Research on the Generalized Elliptic Curve with Three Foci“三焦点”广义椭圆曲线及其传导特性
5.The earth revolves around the sun in an ellipse with the sun at one of the foci.地球在以太阳为焦点的椭圆上围绕太阳公转。
6.The orbits of the planets are ellipses with the sun at one focus.行星的轨道是以太阳作为焦点之一的椭圆。
7.Tunability of optical parameters of width-variable bent elliptical microfocus mirror变宽度压弯椭圆柱面聚焦镜的光学参数可调性
8.Second order Hamiltonian Systems and Elliptic Resonant Boundary Value Problems;二阶Hamilton系统与椭圆共振边值问题
9.Existence of Solution for a class of nonresonant Fourth-order Elliptic equation一类非共振四阶椭圆方程解的存在性
10.The flatter the ellipse, the farther apart are the foci, and the farther each focus is from the center .椭圆越扁平，两焦点之间的距离越远，每个焦点离中心的距离也越远。
11.Resembling an ellipse in shape;elliptical.椭圆形的形状类似椭圆的，椭圆的
12.Existence and Multiplicity of Solutions for a Class of Elliptic Equations at Resonance;一类椭圆方程共振问题解的存在性和多重性
13.Study on Boundary Value Problems of a Kind of Elliptic Equations;一类非共振椭圆型方程边值问题的研究
14.Research on Secret-Shanring and Digital Signature Based on Elliptic Curve Public Key Cryptosystem;基于椭圆曲线的秘密共享与签名理论研究
15.Multiple Solutions of Dirichlet Problem for Semilinear Elliptic Equations at Resonance;共振的半线性椭圆方程Dirchlet问题解的多重性(英文)
16.A Self-Selecting Sub-Secret Key Sharing Scheme over Elliptic Curves椭圆曲线上可选子密钥的秘密共享方案
17.On the solvability of a higher order bf quasilinear elliptic resonance problem一类高阶拟线性椭圆方程共振问题的可解性
18.An Existence Result for Nonlinear Elliptic Equation at Resonance with Nonsmooth Potential具非光滑位势共振非线性椭圆方程解的存在性
相关短句/例句
elliptic cylinder of equal focal共焦椭圆柱
3)confocal elliptical coaxial line共焦椭圆同轴线
1.Propagation characteristics ofconfocal elliptical coaxial line filled with multilayer dielectrics;填充多层介质的共焦椭圆同轴线传播特性
4)ellipsoid-shaped confocal condenser共焦椭圆柱形电容器
5)elliptic focus椭圆焦点
6)the generalized ellipse with three foci三焦点广义椭圆
1.This paper gives a new concept ofthe generalized ellipse with three foci,shows the ploting method and the mathematical models of the ellipse,builds up the mathematical model of the distance from the gravity center M of the ellipse to the moving point P on the curve of the ellipse,presents the transfer characteristics of the ellipse to force and velocity and its applications in the industry.提出三焦点广义椭圆的概念,给出三焦点广义椭圆的画法及其轨迹方程,建立三焦点广义椭圆的重心M到三焦点广义椭圆轨迹曲线上动点p的距离d的数学模型,研究三焦点广义椭圆构件对力与速度的传动特性及其在工业上的应用。
延伸阅读
椭圆函数与椭圆积分椭圆函数与椭圆积分Elliptic function and integral叮写成R，[丫(。口+·了’(。RZ「犷(二)」的形式，其中R，(二，)，尺:(二1)为二，的有理函数，亦可用夸函数及。函数表示。如遇退化情况，则得初等函数。日函数函数断，旧一乙二八成吧一，)(12)其中:固定，且lm:>o，这是:的偶的整函数。它具有周期1，当将v增加:时，它要乘上‘汗‘今+”，在点:1一刀，十()，十1/2):()I，，，，为整数)处它有单零点。经常讨论的夕函数有四个0，(.一、ilJ(叶·旧司:+引， 一戈一’2厂’__、。11+rl姚‘.’一洲‘、“’夕(t，十飞一-)·夕3(:)=0(:1+l/2)，夕、(:，)=夕(:1)。(13)夕(才/2，二l)满足偏微分方程刁2夕/丙2一妙/决，并有一个简单的拉普拉斯变换。椭圆函数与椭圆积分可用夕函数表示，对维尔斯特拉斯函数而言，:一。‘/、，对雅可比函数或勒让德规范形式的椭圆积分而言，:-;K’/K。变换理论一个椭圆函数的周期集可用各种原始周期对来描述。由一对原始周期到另一对的改变叫做椭圆函数或椭圆积分的变换。原始周期的商:便经受了一个单应变换:一(二+l，)/(二+d).其中。、.乃，:，d为整数，而D一、d一/)’为正，D叫做该变换的次数。全体一次变换组成一个模群。这些变换的研究是很有理论意义的，对数论有用，并用于对椭圆函数的数值计算。它也和椭圆模函数的研究有关，后者指具有下列性质的解析函数据f(:)，只要:与i被模群的变换连系着、那么f(r)便与:(:)代数地联系着。参阅‘傅里叶级数与傅里叶积分”(Fourier series and integrals)条。 [埃尔德里(A.Erdelyl)撰」E(k)一E(二2，k)分别叫做第一种与第二种完全椭圆积分，刀一(1一kZ)’2为补模数.又K‘一K‘(h)一F(二/2，k‘)，E‘=E，(k)=F(二/2，k，)。完全椭圆积分作为走的函数时满足二阶线性微分方程，并为居的超几何函数。它们还满足勒让德关系式，KE‘+K’E+KK‘一二/2这是关于k的恒等式。周期与奇点椭圆积分是多值函数。I的任何两个确定值的差都是某些实数或复数，即所谓周期的整倍数之和。E，F与H都是复变量、一S、n甲的多值函数。这三个函数都在二一士1，士k‘处有支点，而H还在艾一士l)l一’2处有支点。F的周期为4K与2;K‘，E的周期为4E与21(K‘一E‘)由J二o蕊k毛l时完全椭圆积分是实的，故第一(第二)个周期便叫做实(虚)周期。虽则E与F是二一的多值函数，但如果把沿同样路径并对。(l，习采取同样的值而积分得的E，F作为对应值，则君是F的单值函数。
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