HYPERBOLIC GEOMETRY AND OMEGA TRIANGLES Hyperbolic geometry was first discovered and explored by Omar Khayyam in the 9th century and Giovanni Gerolamo Saccheri in the 15th century. Both were attempting to prove Euclid’s parallel postulate by proving the concept of hyperbolic geometry to be inconsistent‚ and ironically they discovered it to be a new type of geometry. It wasn’t until the 19th century that it became fully developed with help from Karl Friedrich Gauss‚ Janos Bolyai‚ and Nikolai
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Lab Report #1 Introduction A cell’s plasma membrane is known to be selectively permeable. This implies that the membrane is selective on what substances can pass in and out of the cell. There are two methods of transport that occur through the plasma membrane. One method of transport is called active process which uses ATP energy to transport substances through the membrane. The other method is called passive process which does not require the use of ATP energy. During passive processes
Free Diffusion Molecular diffusion Solution
these molecules can be predicted from their Lewis structures‚ however‚ with a model developed about 30 years ago‚ known as the valence-shell electron-pair repulsion (VSEPR) theory. The VSEPR theory assumes that each atom in a molecule will achieve a geometry that minimizes the repulsion between electrons in the valence shell of that atom. The five compounds shown in the figure below can be used to demonstrate how the VSEPR theory can be applied to simple molecules. There are only two places in the
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Name Period Date Molecular Geometry – Ch. 9 For each of the following molecules‚ draw the Lewis Diagram and tally up the electron pairs. Then‚ identify the correct the molecular shape and bond angle. molecule lewis diagram e- tally shape bond angle 1. SeO3 2. AsH3 3. NO2 - 4. BeF2 molecule lewis diagram e- tally shape bond angle 5. SiH4 6. SeH2 7. PF5 8. SCl6 Name:
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e- E) Al+ (g) + e- → Al (g) 4) The molecular geometry of the OH2 molecule is __________. A) linear B) bent C) trigonal planar D) tetrahedral E) octahedral 5) Which of the following correctly represents the second ionization of calcium? A) Ca (g) → Ca+ (g) + e- B) Ca+ (g) → Ca2+ (g) + e- C) Ca- (g) + e- → Ca2- (g) D) Ca+ (g) + e- → Ca2+ (g) E) Ca+ (g) + e- → Ca (g) 6) Using the VSEPR model‚ the molecular geometry of the central atom in CF4 is __________
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7.6 Summary 1. 7.6 Molecular Orbital Theory a. Intro i. Molecular orbital theory states that the atomic orbitals involved in bonding actually combine to form new orbitals that are the property of the entire molecule‚ rather than of the individual atoms forming the bonds. 1. The new orbitals are called molecular orbitals. ii. Electrons shared by atoms in a molecule reside in the molecular orbitals. iii. Molecular orbitals are like atomic orbitals
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Question:An architect designs two houses that are shaped and positioned like a part of the branches of the hyperbola whose equation is 625y^2 - 400x^2=250‚000‚ where x and y are in yards. How far apart are the houses at their closeset point? Answers:625y^2 - 400x^2=250‚000 y^2 / 20^2 - x^2 / 25^2 = 1 The closest two points on separate branches are the vertices‚ and their separation is 2 * 20 = 40yd. I find the question a little confusing‚ though. Question:LORAN (long distance radio navigation)
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MOLECULAR BIOLOGIST Education/Training Required: All molecular biologists must at least earn a bachelor’s degree in a related science field. Required courses usually include cell biology‚ evolutionary biology‚ genetics‚ ecology‚ general chemistry‚ biochemistry‚ organic chemistry‚ physics‚ molecular biology‚ multivariable calculus‚ and linear algebra. Most jobs for molecular biologists require a doctoral degree. During college‚ students may want to participate in science-related activities
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Molecular Geometry A. Natural Orientation of Volumes about a Central Point. You will need 20 round balloons for this experiment. Join them together as indicated in the Balloon Arrangement column and then describe the shape in the space provided. Balloon Arrangement Description of the Shape Two-Balloon Set Linear Three-Balloon Set Trigonal Planar Four-Balloon Set Tetrahedral Five-Balloon Set Trigonal Bipyramidal Six-Balloon Set Octahedral B. Valence Shell Pairs: Single
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Kellogg School of Management The Emerging Molecular Diagnostics Industry: Applera’s Path to a Leadership Role June 5‚ 2003 By John Fadlovich Carl Finamore Jodi Flax Kevin Lynch Rebecca Wildman Applera Corporation in the Molecular Diagnostics Industry Table of Contents 1. 2. Introduction................................................................................................................. 1 Industry Overview ................................................................
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