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The equations of state of asymmetric nuclear matter (ANM) starting from the effective potential in a one-loop approximation is investigated. It was showen that chiral symmetry is restored at high nuclear density and the liquid-gas phase transition are both strongly influenced by the isospin degree of freedom.

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i_The pair_ _PL_+_G_Gr_G__,"_ _admits a unique symmetric monoidal structure_ _such that the functor_ _ω_ _is symmetric monoidal._ ii_The functorωis a faithful exact tensor functor, and i[r]

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4. f. **The** question could be answered by going back to **the** passage. Rock candy **is** made by first com- pletely dissolving **the** excess sugar, at a high temperature, then slowly cooling to room temperature. Choices g , h , and j don’t describe heating, followed by slow cooling. 5. d. You can solve this problem by drawing a line through **the** 45 degree Celsius mark. It intersects **the** solubility curve at about 250 g of solute per 100 g of solvent. In order for a solution to be supersatu- rated, **the** amount of sugar has to exceed solubility. Therefore, a total of more than 250 g **is** necessary. If a solution already contains 50 g of sugar, more than 200 grams are required.

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Exercise: Prove that a polynomialpx is symmetric if and only ifpx does not change under the permutations of variables as an expression.. Definition: The monomial symmetric polynomialmλ i[r]

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1. Introduction **The** present text covers mainly **the** two major methods of linear structural analysis, **the** **force** method and **the** displacement method under static loads. There are other topics either within **the** realm of linear static analysis or beyond, that are fundamental to structural analysis. We will briefly touch on these topics and outline **the** relevant issues and encourage readers to study in more depth in another course of structural engineering or through self-study.

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Abstract. **The** equations of state (EOS) of asymmetric **nuclear** matter (ANM) in an extended Nambu-Jona-Lasinio (ENJL) model was investigated by means of examining effective potential in one-loop approximation. Our numerical results show that **isospin** dependence of saturation density in our model **is** reasonably strong and critical temperature for liquid-gas phase transition decreases with increasing neutron excess.

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The Organization is an educational force inside and outside the school, is a reserve force of Ho Chi Minh Communistic Youth Party, is a main force in children’s movement.. The [r]

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At location X = x = 0 and Y = y = 5 km, a disturbance **is** introduced such that the flui parcel obtains a relative speed of u o = 0.5 m/s and v o = 0.5 m/s. In **the** f xed coordinate frame, **the** initial velocity **is** U o = 0.864 m/s and V o = 0.5 m/s. **The** results show that the resultant path of **the** flui parcel **is** elliptical (Fig. 3.16). With a closer inspection of selected snapshots of **the** animation (Fig. 3.17), we can also see that the flui parcel comes closest to **the** rim of **the** tank twice during one full revolution of **the** flui tank. This finding which **is** simply **the** result of **the** elliptical path, **is** **the** important clue to understand why so-called inertial oscilla- tions, described below, have periods half that associated with **the** rotating coordinate

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Abstract **The** combinatorial theory of species developed by Joyal provides a foundation for enumerative combinatorics of objects constructed from finite sets. In this pa- per we develop an analogous theory for **the** enumerative combinatorics of objects constructed from vector spaces over finite fields. Examples of these objects include subspaces, flags of subspaces, direct sum decompositions, and linear maps or ma- trices of various types. **The** unifying concept **is** that of a “ q -species,” defined to be a functor from **the** category of finite dimensional vector spaces over a finite field to **the** category of finite sets.

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of deforming one maximal chain to another. Each rhombic tiling may be viewed as **the** projection of a discrete 2- dimensional surface S within a hypercube or multi-dimensional box onto a generic plane. Such a surface S may be deformed via braid relations (as in Figure 1) to surfaces coming from other reduced expressions for **the** same permutation; relations of **the** form s **i** s **i** +1 s **i** = s **i** +1 s **i** s **i** +1 will take surfaces which include **the** front three faces of a cube to surfaces which instead includes **the** back three faces. **The** surfaces given by **the** same permutation will have **the** same boundary. **The** collection of rhombic tilings for a particular region gives rise to all **the** minimal discrete surfaces within a multi-dimensional box which have some fixed boundary. This point of view leads us to prove in Section 2 that the maximal chains in an orbit of a local **symmetric** group action must be arranged in such a way that they form **the** skeleton of such a multi-dimensional box. Otherwise, braid relations would be violated or an orbit would be incomplete (or both).

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Conservation laws are extremely important in physics. They are enormously helpful, both quantitatively and qualitatively, in figuring out what **is** going on in a physical system. When we say that something **is** “conserved”, we mean that it **is** constant over time. If a certain quantity **is** conserved, for example, while a ball rolls around on a hill, or while a group of particles interact, then **the** possible final motions are greatly restricted. If we can write down enough conserved quantities (which we are generally able to do, at least for **the** problems in this book), then we can restrict **the** final motions down to just one possibility, and so we have solved our problem. Conservation of energy and momentum are two of **the** main conservation laws in physics. A third, conservation of angular momentum, **is** discussed in Chapters 6-8. It should be noted that it **is** not necessary to use conservation of energy and momentum when solving a problem. We will derive these conservation laws from Newton’s laws. Therefore, if you felt like it, you could always simply start with first principles and use F = ma , etc. You would, however, soon grow weary of this approach. **The** point of conservation laws **is** that they make your life easier, and they provide a means for getting a good idea of **the** overall behavior of a given system.

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Coal is used above all for electricity generation in thermal power stations, which are just giant kettles heated with coal where very hot, high-pressure steam is produced, which then spi[r]

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The equations of state (EoS) of asymmetric nuclear matter (ANM) starting from the effective potential in a one-loop approximation is investigated. The numerical computation showed that chiral symmetry is restored asymptotically at high nuclear density and liquid-gas phase transition in asymmetric nuclear matter is first-order.

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A system oscillates as a way of giving off energy. A system that **is** thrown off-kilter has more energy than a system in its equilibrium position. To take **the** simple example of a spring, a stretched-out spring will start to move as soon as you let go of it: that motion **is** evidence of kinetic energy that the spring lacks in its equilibrium position. Because of **the** law of conservation of energy, a stretched-out spring cannot simply return to its equilibrium position; it must release some energy in order to do so. Usually, this energy **is** released as thermal energy caused by friction, but there are plenty of interesting exceptions. For instance, a plucked guitar string releases sound energy: **the** music we hear **is** **the** result of **the** string returning to its equilibrium position.

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It is important, therefore, that we should develop such alternative sources of energy as solar energy and nuclear energy as well as water and wind force (classed as (24) _____ energy).. [r]

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It is important, therefore, that we should develop such alternative sources of energy as solar energy and nuclear energy as well as water and wind force (classed as (24) _____ energy)C. [r]

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Problem 2-136 **The** leg **is** held in position by **the** quadriceps AB , which **is** attached to **the** pelvis at A . If **the** **force** exerted on this muscle by **the** pelvis **is** F, in **the** direction shown, determine **the** stabilizing **force** component acting along **the** positive y axis and **the** supporting **force** component acting along **the** negative x axis.

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Since environmental heterogeneity occurs on a scale com- parable to that of individual cells, macroscopic contin- uum models (usually based on **the** Keller-Segel model [10]) of cell movement are not appropriate to answer **the** above questions. Rather, one requires an approach involv- ing an individual-based model (IBM) of cell movement. In this article we construct a minimal IBM of chemotactic cell movement in an obstacle-ridden environment. Our aim **is** to understand **the** efficiency of chemotaxis in such conditions and whether additional biological mecha- nisms (e.g. an active obstacle-sensing mechanism) are needed to ensure that the chemotactic cell reaches **the** source of **the** chemical to which it **is** sensitive. A few spe- cialized mechanisms of this type are known, for example **the** case of axon guidance [11], in which a combination of chemoattractants and chemorepellents secreted by other cells in **the** environment guide **the** axons along very spe- cific routes to generate precise patterns of neuronal wir- ing. However, this **is** not **the** general case, particularly for free-swimming cellular organisms, which may be simply involved in following chemoattractant left by their prey and thus have no apparent foreknowledge of any obsta- cles in their path. These are **the** cases we shall treat in this study.

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The measured FEA results are consistent with the applied standard force/moments. The error difference of FEM analysis is under 1%. The FEM simulations results are approximately 99-100% of the exerted axial force, vertical force and pitch moment respectively. The designed MP-M dynamometer model is capable to measure spatial force/moment accurately and simulation experiments are discussed.

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Passage V Why does an arrow shot from a bow eventually hit **the** ground? Impetus Theory **The** ancient theory of impetus was used to explain why objects continue to move even when they were no longer acted on, for example, an arrow shot by a bow. **The** theory of impetus says that the bow imparts a certain amount of **the** property of motion to **the** arrow. This property of motion **is** called impetus. Impetus **is** then a property of **the** bow that **is** imparted to **the** arrow. This **is** what causes **the** arrow to fly through **the** air. According to **the** theory of impetus, only a limited amount of motion **is** imparted to **the** arrow by **the** bow. Once this runs out, **the** arrow will fall abruptly to **the** ground. You can think of this theory as being similar to a gas tank. **The** action of **the** bow fills **the** tank of **the** arrow with a certain amount of “motion” or impetus; once **the** tank **is** empty **the** arrow doesn’t move anymore. Furthermore this theory predicts that the impetus **is** used up at a steady rate. So when it runs out, it runs out abruptly. This yields **the** prediction that when **the** arrow uses up **the** impetus imparted to it by **the** bow it will stop in mid air and then fall straight down to earth. For an object to continue moving forever in a straight line **the** impetus theory predicts that it would have to be given an infinite amount of impetus.

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5. Cell Adhesion Measured by **Force** Spectroscopy 105 onto **the** cell at a **force** of a few nanonewtons and held in contact for approximately 30 s to allow **the** speciﬁc molecules on **the** lever to bind before lifting **the** cell off **the** bottom of **the** dish. When **the** cell sticks to **the** sensor, it can be moved to a cell or surface of interest. Typically, **the** interaction strength between cell and cantilever increases with time, due to **the** assimilating cell surface. If **the** cell on **the** dish already sticks to **the** substrate too strongly, it can be pushed gently from **the** side with **the** edge of **the** lever before lifting it up. It would be helpful if at least **the** z piezo could be moved manually for this purpose. **The** best results were obtained with tipless cantilevers, as **the** tip either **is** likely to interfere with **the** adhesion measurements if it surmounts **the** cell or hinders **the** cell adhesion. Unfortunately, **the** spring constants of commercial tipless cantilevers are very stiff (Digital Instruments, 60 mN/m) compared to **the** soft cells (Radmacher, 1997). To obtain compliant and tipless **force** sensors, **the** cantilevers had to be modiﬁed destructively with thin tweezers, as follows, prior to functionalization. A curvature on one of **the** tweezers’ ﬁngers (Fig. 8) effects a grinding while gently squeezing **the** cantilever between **the** tweezers.

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Problem 2- 86 **The** positions of point A on **the** building and point B on **the** antenna have been measured relative to **the** electronic distance meter (EDM) at O . Determine **the** distance between A and B . Hint: Formulate a position vector directed from A to B ; then determine its magnitude.

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(b) Since there **is** no horizontal **force** opposing F , any value of F , no matter how small, will cause **the** crates to accelerate to **the** right. **The** weight of **the** two crates acts at a right angle to **the** horizontal, and **is** in any case balanced by **the** upward **force** of **the** surface on them.

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NEWTON’S LAWS OF MOTION Unbalanced forces are **the** cause of motion. This can be seen by taking a walk and watching any objects that are not moving. A stone on **the** ground, a flowerpot on a window ledge, or a hat on someone’s head all remain where they rest unless something happens. What exactly must happen? Sir Isaac Newton applied his attention to that same question almost 400 years ago. **The** result was Newton’s Laws of Motion. **The** first Law of Motion as expressed by Sir Isaac has come to be known as **the** Law of Inertia.

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Waves WAVE PHENOMENA OCCUR ALMOST anywhere there **is** periodic motion. We have already encountered such periodic motion in **the** back-and-forth movement of pendulums and masses on a spring and with **the** cyclic orbits of objects in a gravitational field. **The** physics of waves **is** also central in explaining how light and sound work. Anything from a violin string to a drum skin to a wine glass can make a sound, suggesting that there are few things in **the** world that cannot produce wave phenomena. We find waves in **the** air, in our bodies, in earthquakes, in computers—and, if we’re surfers, at **the** beach.

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786 T.G. Andersen et al. estimated by **the** GARCH forecasts while **the** last spike (around **the** 2300–2350 “day” marks) **is** exaggerated relative to **the** actual realizations. This reflects **the** fact that the volatility **is** not constant over **the** “day”, and as such **the** (realized) integrated volatility **is** not equal to **the** (optimal) forecast from **the** discrete-time GARCH model which only utilizes **the** past “daily” return observations. Instead, there **is** a genuine random com- ponent to **the** volatility process as it evolves stochastically over **the** “trading day”. As a result, **the** “daily” return observations do not convey all relevant information and **the** GARCH model simply cannot produce fully efficient forecasts compared to what **is** **the**- oretically possible given higher frequency “intraday” data. At **the** same time, in practice it **is** not feasible to produce exact real-time measures of **the** integrated, let alone **the** spot, volatility, as **the** processes are latent and we only have a limited and discretely sampled set of return observations available, even for **the** most liquid asset markets. As such, an important theme addressed in more detail in Sections 4 and 5 below involves **the** con- struction of practical measures of ex-post realized volatility that mimic **the** properties of **the** integrated volatility series.

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parameters of macro generators C, D and E. Generators C, D, and E were tested for different acceleration levels and **the** vibration frequency of **the** shaker was swept in order to determine **the** resonance frequency. In generators A and B, **the** parasitic damping factor and **the** open circuit quality factor were calculated from **the** measured no-load displacement. However, for generators C, D and E, **the** no-load and load voltages at **the** half power bandwidth frequency were measured in order to determine **the** open circuit and closed circuit quality factors and hence **the** damping. Figures 26, 27 and 28 show **the** no-load voltages for different acceleration levels of generators C, D, and E, respectively. It can be seen from these figures that as **the** acceleration level increases, **the** resonance frequency shifts to a lower frequency due to **the** spring softening characteristic of **the** spring constant [31]. This indicates that the displacement of **the** spring constant **is** approaching **the** non- linear region. However, **the** resonance frequency could also shift to a higher frequency with increased acceleration level which **is** normally known as a spring hardening characteristic.

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of W ( θ ) consisting of all w **i** which are L - s - M -Lyndon. Now suppose k ≥ 2 and, for 1 ≤ j ≤ k , w ij **is** φ j -Lyndon where φ j **is** a Lyndon word in L { L, N } ∗ M of length s + 2. If φ k − 1 does not occur in w ik , then we know that we can combine **the** cycles corresponding to w ik − 1 and w ik into a single cycle C such that w ( C ) = w ik − 1 w ik . Thus there will be a cycle θ 0 ∈ SP B ( λ, µ ) such that W ( θ 0 ) ∈ SLS , W ( θ 0 ) arises from θ by replacing **the** two words w ik − 1 and w ik by **the** single word w ik − 1 w ik and sgn ( θ ) = − sgn ( θ 0 ). One could use

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Hence, **the** situation when ZMP can arbitrarily be located in **the** foot plane was practical in designing **the** biped foot dimensions and nominal motion synthesis. When **the** ZMP approaches critical areas or even abandons **the** support polygon ( Figure 27.3 ), balancing **is** focused primarily on compensating for **the** unbalanced dynamic moment using **the** posture control. One way of overcoming such critical situation **is** to switch to a new nominal trajectory that **is** closest to **the** momentary system state. 5 These nominals are synthesized to bring **the** system back to **the** stationary state and enable gait continuation. To do this, it **is** not necessary to have information about exact intensity of **the** disturbance moment. For such an approach (which **is** very close to **the** human behavior in similar situations), it suffices to detect **the** occurrence of such hazardous situations. Thus, there **is** no need for on-line computation of **the** IZMP location for **the** purpose of biped control. For these reasons **the** IZMP location has not gained more practical importance. However, **the** recent development of powerful control and sensory systems and **the** fast expansion of humanoid robots gives a new significance to **the** IZMP, particularly in rehabilitation robotics. **The** consideration of ZMP locations, including also **the** areas outside **the** supporting foot sole, becomes essential for rehabilitation devices. 12

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---- Has units of **force** per unit area. ---- Sign **is** determined by **the** direction of **the** internal **force** and **the** direction of **the** outward normal of **the** imaginary cut surface. Stresses on various planes passing through a point in two dimension can be found by **the**:

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In addition to **the** above mentioned, **the** short- circuit current capacity of metallic sheaths depends on their layout. **The** short-circuit current capacity **is** different for tubular sheats and wire screens, but generally **the** total short-circuit current capacity of a metallic sheath **is** **the** sum of **the** capacity of its components.

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Stochastic processes are divided into stationary and non-stationary . In **the** case of a stationary stochastic process, all probability densities f1, f2, . . . f n do not depend on **the** start of observations and onedimensional probability density **is** not a function of time t. Hence, **the** mean value (4.4.55) and **the** variance (4.4.56) are not time dependent as well.

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were varied across trials. Moreover, a further time delay (of 0 to 80 ms) was randomly added between **the** action and **the** feedback to simulate **the** ubiquitous communication delays in telepresence system. In addition, no visual feedback of **the** initial (joystick- generated) object movement was provided for a random interval of 50-150 ms. **The** results showed that, regardless of action-feedback delay, participants could easily detect **the** visual- haptic asynchrony when **the** SOA exceeded 50 ms. In another experiment, participants received touch and visual stimulus events passively while holding **the** joystick steady. **The** sensitivity for visual-haptic asynchrony (indicated by **the** standard deviation of **the** response distribution) was found to vary between 15 and 38 ms, which was smaller compared to that in **the** active-movement condition. Vogels’ study represents a pioneering study of **the** effects of time delay and visuo-motor movement on visual-haptic simultaneity perception. However, her finding of an advantage, in terms of sensitivity, of passive touch over active movement was likely confounded by **the** experimental setup (as will be elaborated below). Indeed, there **is** a large body of evidence showing that active perception yields more information and enhances performance compared to passive perception (Heller & Myers, 1983; Wexler & Klam, 2001). Critically however, in Vogels’ study, **the** space of **the** hand movement was separated from that of **the** visual representation – which may have impeded **the** crossmodal movement prediction and required more attentional resources. As a result, it **is** likely that, in her setup, **the** uncertainty of **the** asynchrony judgments was actually higher in **the** active-movement condition compared to **the** passive condition.

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where **the** last equality follows from equation **I**.6. This paper **is** organized as follows. In **the** first section we introduce our notation, make some definitions and prove some auxiliary facts. In **the** second section we treat **the** classical S n case, prove our umbral formula for **the** character polynomials as well as Theorem **I**.1. In **the** third section, striving to make our writing accessible to a wider audience, we give a brief tutorial on Kronecker products including simple proofs of some basic results of **the** theory. **The** experts in **symmetric** function theory may skip this section. In **the** fourth section we use **the** pairing s µ → q µ to define a degree preserving isomorphism that sends **the** vector space Λ of **symmetric** polynomials onto **the** vector space of polynomials Q [ x 1 , x 2 , x 3 , . . . ]. We then use this map to derive some well known and some not so well known properties of Kronecker products. **The** study of this map leads to another family of polynomials that we call “set polynomials ” which enjoy properties akin to those of character polynomials and can also be used to compute Kronecker products. In **the** fifth section we treat **the** Hecke algebra case and derive our

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of intersection of **the** hyperbola with **the** real axis are called **the** vertices of **the** hyperbola. Points F 1 (– c , 0) and F 2 ( c , 0) are called **the** foci of **the** hyperbola. This **is** why **the** real axis of a hyperbola **is** sometimes called **the** focal axis. **The** straight lines x = a/e ( y ≠ 0) are called **the** directrices of **the** hyperbola corresponding to **the** foci F 2 and F 1 . **The** focus F 2 ( c , 0) and **the** directrix x = a/e are said to be right, and **the** focus F 1 (– c , 0) and **the** directrix x = – a/e

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Từ khóa: nuclear energy reactions advantages and disadvantageslow energy nuclear reactions the realism and the outlookpower and energy in circuits mastering physics± pss 25 1 power and energy in circuits mastering physicspss 25 1 power and energy in circuits mastering physicsBáo cáo quy trình mua hàng CT CP Công Nghệ NPVchuyên đề điện xoay chiều theo dạngNghiên cứu tổ hợp chất chỉ điểm sinh học vWF, VCAM 1, MCP 1, d dimer trong chẩn đoán và tiên lượng nhồi máu não cấpBiện pháp quản lý hoạt động dạy hát xoan trong trường trung học cơ sở huyện lâm thao, phú thọGiáo án Sinh học 11 bài 13: Thực hành phát hiện diệp lục và carôtenôitGiáo án Sinh học 11 bài 13: Thực hành phát hiện diệp lục và carôtenôitGiáo án Sinh học 11 bài 13: Thực hành phát hiện diệp lục và carôtenôitNGHIÊN CỨU CÔNG NGHỆ KẾT NỐI VÔ TUYẾN CỰ LY XA, CÔNG SUẤT THẤP LPWAN SLIDEPhối hợp giữa phòng văn hóa và thông tin với phòng giáo dục và đào tạo trong việc tuyên truyền, giáo dục, vận động xây dựng nông thôn mới huyện thanh thủy, tỉnh phú thọPhát triển mạng lưới kinh doanh nước sạch tại công ty TNHH một thành viên kinh doanh nước sạch quảng ninhPhát triển du lịch bền vững trên cơ sở bảo vệ môi trường tự nhiên vịnh hạ longNghiên cứu, xây dựng phần mềm smartscan và ứng dụng trong bảo vệ mạng máy tính chuyên dùngSở hữu ruộng đất và kinh tế nông nghiệp châu ôn (lạng sơn) nửa đầu thế kỷ XIXChuong 2 nhận dạng rui roGiáo án Sinh học 11 bài 15: Tiêu hóa ở động vậtchuong 1 tong quan quan tri rui roNguyên tắc phân hóa trách nhiệm hình sự đối với người dưới 18 tuổi phạm tội trong pháp luật hình sự Việt Nam (Luận văn thạc sĩ)Giáo án Sinh học 11 bài 14: Thực hành phát hiện hô hấp ở thực vậtGiáo án Sinh học 11 bài 14: Thực hành phát hiện hô hấp ở thực vậtBÀI HOÀN CHỈNH TỔNG QUAN VỀ MẠNG XÃ HỘI