Geometry Regular Polygon Area Worksheet
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Wetlands Mapper Frequently Asked Questions
Frequently Asked Questions: Wetlands Mapper December 2015 Mapper Content and Display How does the public access the new Mapper? The Wetlands Mapper can be found at: http://www.fws.gov/wetlands/ Does the updated mapper display all wetland polygons from the Wetlands Geodatabase? Yes. All available wetland map data both vector and raster scanned images are on the Mapper. Does the updated mapper display all wetland labels? Yes. Larger polygon labels will display right away. Smaller polygon labels will display at larger scale and appear inside the feature. At what scale do the Wetlands display on screen? Wetlands first display at 1:144,448 scale. The nominal scale for wetland data is 1:12,000 or 1:24,000 although higher resolution is possible. How is the display scale determined? Display scales are pre-determined intervals. The maximum zoom scale is 1:71. ESRI base maps will not display below 1:1,128 scale resolution for the contiguous United States and Puerto Rico, 1:9,028 for Alaska, and 1:4,514 for Hawaii, and the Pacific Trust Islands. Can I minimize the Available Layers Window? Yes. Click on minimize + or – symbol in the upper right hand corner of the Available Layers Window. Can I zoom to locations? How do I find the Pacific Trust Islands? Yes. Use the “Zoom to” tool to quickly go to Alaska, Hawaii, Puerto Rico and Virgin Islands or the Pacific Trust Islands. Enter the name, address, or zip code into the “Find Location” tool to go to a specific location. Latitude and longitude coordinates may also be entered using the format [longitude, latitude]. -
Thermodynamics of Spacetime: the Einstein Equation of State
gr-qc/9504004 UMDGR-95-114 Thermodynamics of Spacetime: The Einstein Equation of State Ted Jacobson Department of Physics, University of Maryland College Park, MD 20742-4111, USA [email protected] Abstract The Einstein equation is derived from the proportionality of entropy and horizon area together with the fundamental relation δQ = T dS connecting heat, entropy, and temperature. The key idea is to demand that this relation hold for all the local Rindler causal horizons through each spacetime point, with δQ and T interpreted as the energy flux and Unruh temperature seen by an accelerated observer just inside the horizon. This requires that gravitational lensing by matter energy distorts the causal structure of spacetime in just such a way that the Einstein equation holds. Viewed in this way, the Einstein equation is an equation of state. This perspective suggests that it may be no more appropriate to canonically quantize the Einstein equation than it would be to quantize the wave equation for sound in air. arXiv:gr-qc/9504004v2 6 Jun 1995 The four laws of black hole mechanics, which are analogous to those of thermodynamics, were originally derived from the classical Einstein equation[1]. With the discovery of the quantum Hawking radiation[2], it became clear that the analogy is in fact an identity. How did classical General Relativity know that horizon area would turn out to be a form of entropy, and that surface gravity is a temperature? In this letter I will answer that question by turning the logic around and deriving the Einstein equation from the propor- tionality of entropy and horizon area together with the fundamental relation δQ = T dS connecting heat Q, entropy S, and temperature T . -
The Tragedy of the Gamer: a Dramatistic Study of Gamergate By
The Tragedy of the Gamer: A Dramatistic Study of GamerGate by Mason Stephen Langenbach A thesis submitted to the Graduate Faculty of Auburn University in partial fulfillment of the requirements for the Degree of Master of Arts Auburn, Alabama May 5, 2019 Keywords: dramatism, scapegoat, mortification, GamerGate Copyright 2019 by Mason Stephen Langenbach Approved by Michael Milford, Chair, Professor of Communication Andrea Kelley, Professor of Media Studies Elizabeth Larson, Professor of Communication Abstract In August 2014, a small but active group of gamers began a relentless online harassment campaign against notable women in the videogame industry in a controversy known as GamerGate. In response, game journalists from several prominent gaming websites published op-eds condemning the incident and declared that “gamers are dead.” Using Burke’s dramatistic method, this thesis will examine these articles as operating within the genre of tragedy, outlining the journalists’ efforts to scapegoat the gamer. It will argue that game journalists simultaneously engaged in mortification not to purge the guilt within themselves but to further the scapegoating process. An extension of dramatistic theory will be offered which asserts that mortification can be appropriated by rhetors seeking to ascend within their social order’s hierarchy. ii Acknowledgments This project was long and arduous, and I would not have been able to complete it without the help of several individuals. First, I would like to thank all of my graduate professors who have given me the gift of education and knowledge throughout these past two years. To the members of my committee, Dr. Milford, Dr. Kelley, and Dr. -
Calculus Terminology
AP Calculus BC Calculus Terminology Absolute Convergence Asymptote Continued Sum Absolute Maximum Average Rate of Change Continuous Function Absolute Minimum Average Value of a Function Continuously Differentiable Function Absolutely Convergent Axis of Rotation Converge Acceleration Boundary Value Problem Converge Absolutely Alternating Series Bounded Function Converge Conditionally Alternating Series Remainder Bounded Sequence Convergence Tests Alternating Series Test Bounds of Integration Convergent Sequence Analytic Methods Calculus Convergent Series Annulus Cartesian Form Critical Number Antiderivative of a Function Cavalieri’s Principle Critical Point Approximation by Differentials Center of Mass Formula Critical Value Arc Length of a Curve Centroid Curly d Area below a Curve Chain Rule Curve Area between Curves Comparison Test Curve Sketching Area of an Ellipse Concave Cusp Area of a Parabolic Segment Concave Down Cylindrical Shell Method Area under a Curve Concave Up Decreasing Function Area Using Parametric Equations Conditional Convergence Definite Integral Area Using Polar Coordinates Constant Term Definite Integral Rules Degenerate Divergent Series Function Operations Del Operator e Fundamental Theorem of Calculus Deleted Neighborhood Ellipsoid GLB Derivative End Behavior Global Maximum Derivative of a Power Series Essential Discontinuity Global Minimum Derivative Rules Explicit Differentiation Golden Spiral Difference Quotient Explicit Function Graphic Methods Differentiable Exponential Decay Greatest Lower Bound Differential -
The Equation of Radiative Transfer How Does the Intensity of Radiation Change in the Presence of Emission and / Or Absorption?
The equation of radiative transfer How does the intensity of radiation change in the presence of emission and / or absorption? Definition of solid angle and steradian Sphere radius r - area of a patch dS on the surface is: dS = rdq ¥ rsinqdf ≡ r2dW q dS dW is the solid angle subtended by the area dS at the center of the † sphere. Unit of solid angle is the steradian. 4p steradians cover whole sphere. ASTR 3730: Fall 2003 Definition of the specific intensity Construct an area dA normal to a light ray, and consider all the rays that pass through dA whose directions lie within a small solid angle dW. Solid angle dW dA The amount of energy passing through dA and into dW in time dt in frequency range dn is: dE = In dAdtdndW Specific intensity of the radiation. † ASTR 3730: Fall 2003 Compare with definition of the flux: specific intensity is very similar except it depends upon direction and frequency as well as location. Units of specific intensity are: erg s-1 cm-2 Hz-1 steradian-1 Same as Fn Another, more intuitive name for the specific intensity is brightness. ASTR 3730: Fall 2003 Simple relation between the flux and the specific intensity: Consider a small area dA, with light rays passing through it at all angles to the normal to the surface n: n o In If q = 90 , then light rays in that direction contribute zero net flux through area dA. q For rays at angle q, foreshortening reduces the effective area by a factor of cos(q). -
Area of Polygons and Complex Figures
Geometry AREA OF POLYGONS AND COMPLEX FIGURES Area is the number of non-overlapping square units needed to cover the interior region of a two- dimensional figure or the surface area of a three-dimensional figure. For example, area is the region that is covered by floor tile (two-dimensional) or paint on a box or a ball (three- dimensional). For additional information about specific shapes, see the boxes below. For additional general information, see the Math Notes box in Lesson 1.1.2 of the Core Connections, Course 2 text. For additional examples and practice, see the Core Connections, Course 2 Checkpoint 1 materials or the Core Connections, Course 3 Checkpoint 4 materials. AREA OF A RECTANGLE To find the area of a rectangle, follow the steps below. 1. Identify the base. 2. Identify the height. 3. Multiply the base times the height to find the area in square units: A = bh. A square is a rectangle in which the base and height are of equal length. Find the area of a square by multiplying the base times itself: A = b2. Example base = 8 units 4 32 square units height = 4 units 8 A = 8 · 4 = 32 square units Parent Guide with Extra Practice 135 Problems Find the areas of the rectangles (figures 1-8) and squares (figures 9-12) below. 1. 2. 3. 4. 2 mi 5 cm 8 m 4 mi 7 in. 6 cm 3 in. 2 m 5. 6. 7. 8. 3 units 6.8 cm 5.5 miles 2 miles 8.7 units 7.25 miles 3.5 cm 2.2 miles 9. -
Right Triangles and the Pythagorean Theorem Related?
Activity Assess 9-6 EXPLORE & REASON Right Triangles and Consider △ ABC with altitude CD‾ as shown. the Pythagorean B Theorem D PearsonRealize.com A 45 C 5√2 I CAN… prove the Pythagorean Theorem using A. What is the area of △ ABC? Of △ACD? Explain your answers. similarity and establish the relationships in special right B. Find the lengths of AD‾ and AB‾ . triangles. C. Look for Relationships Divide the length of the hypotenuse of △ ABC VOCABULARY by the length of one of its sides. Divide the length of the hypotenuse of △ACD by the length of one of its sides. Make a conjecture that explains • Pythagorean triple the results. ESSENTIAL QUESTION How are similarity in right triangles and the Pythagorean Theorem related? Remember that the Pythagorean Theorem and its converse describe how the side lengths of right triangles are related. THEOREM 9-8 Pythagorean Theorem If a triangle is a right triangle, If... △ABC is a right triangle. then the sum of the squares of the B lengths of the legs is equal to the square of the length of the hypotenuse. c a A C b 2 2 2 PROOF: SEE EXAMPLE 1. Then... a + b = c THEOREM 9-9 Converse of the Pythagorean Theorem 2 2 2 If the sum of the squares of the If... a + b = c lengths of two sides of a triangle is B equal to the square of the length of the third side, then the triangle is a right triangle. c a A C b PROOF: SEE EXERCISE 17. Then... △ABC is a right triangle. -
Calculus Formulas and Theorems
Formulas and Theorems for Reference I. Tbigonometric Formulas l. sin2d+c,cis2d:1 sec2d l*cot20:<:sc:20 +.I sin(-d) : -sitt0 t,rs(-//) = t r1sl/ : -tallH 7. sin(A* B) :sitrAcosB*silBcosA 8. : siri A cos B - siu B <:os,;l 9. cos(A+ B) - cos,4cos B - siuA siriB 10. cos(A- B) : cosA cosB + silrA sirrB 11. 2 sirrd t:osd 12. <'os20- coS2(i - siu20 : 2<'os2o - I - 1 - 2sin20 I 13. tan d : <.rft0 (:ost/ I 14. <:ol0 : sirrd tattH 1 15. (:OS I/ 1 16. cscd - ri" 6i /F tl r(. cos[I ^ -el : sitt d \l 18. -01 : COSA 215 216 Formulas and Theorems II. Differentiation Formulas !(r") - trr:"-1 Q,:I' ]tra-fg'+gf' gJ'-,f g' - * (i) ,l' ,I - (tt(.r))9'(.,') ,i;.[tyt.rt) l'' d, \ (sttt rrJ .* ('oqI' .7, tJ, \ . ./ stll lr dr. l('os J { 1a,,,t,:r) - .,' o.t "11'2 1(<,ot.r') - (,.(,2.r' Q:T rl , (sc'c:.r'J: sPl'.r tall 11 ,7, d, - (<:s<t.r,; - (ls(].]'(rot;.r fr("'),t -.'' ,1 - fr(u") o,'ltrc ,l ,, 1 ' tlll ri - (l.t' .f d,^ --: I -iAl'CSllLl'l t!.r' J1 - rz 1(Arcsi' r) : oT Il12 Formulas and Theorems 2I7 III. Integration Formulas 1. ,f "or:artC 2. [\0,-trrlrl *(' .t "r 3. [,' ,t.,: r^x| (' ,I 4. In' a,,: lL , ,' .l 111Q 5. In., a.r: .rhr.r' .r r (' ,l f 6. sirr.r d.r' - ( os.r'-t C ./ 7. /.,,.r' dr : sitr.i'| (' .t 8. tl:r:hr sec,rl+ C or ln Jccrsrl+ C ,f'r^rr f 9. -
Writing “Gamers”: the Gendered Construction of Gamer Identity in Nintendo Power (1994-1999) Amanda C
Running head: WRITING GAMERS Writing “Gamers”: The Gendered Construction of Gamer Identity in Nintendo Power (1994-1999) Amanda C. Cote This is an Accepted Manuscript of an article published by Sage in Games and Culture on July 1, 2018, available online: https://journals.sagepub.com/doi/10.1177/1555412015624742. Abstract In the mid-1990s, a small group of video game designers attempted to lessen gaming’s gender gap by creating software targeting girls. By 1999, however, these attempts collapsed, and video games remained a masculinized technology. To help understand why this movement failed, this article addresses the unexplored role of consumer press in defining “gamers” as male. A detailed content analysis of Nintendo Power issues published from 1994-1999 shows that mainstream companies largely ignored the girls’ games movement, instead targeting male audiences through player representations, sexualized female characters, magazine covers featuring men, and predominantly male authors. Given the mutually constitutive nature of representation and reality, the lack of women in consumer press then affected girls’ ability to identify as gamers and enter the gaming community. This shows that, even as gaming audiences diversify, inclusive representations are also needed to redefine “gamer” as more than just “male”. Keywords: media history, video games, gender, consumer press, critical content analysis WRITING GAMERS Introduction Following the success of the Nintendo Wii in the mid-2000s and the subsequent spread of mobile gaming, popular and industry media have paid significant attention to casual games’ potential to broaden the video game audience (Mindlin 2006, Kane 2009, “U-Turn” 2012). Played frequently or even primarily by women, casual and mobile offerings break the stereotypical view of games as a masculinized technology primarily consumed by men and boys. -
Mapspain: Administrative Boundaries of Spain
Package ‘mapSpain’ September 10, 2021 Type Package Title Administrative Boundaries of Spain Version 0.3.1 Description Administrative Boundaries of Spain at several levels (CCAA, Provinces, Municipalities) based on the GISCO Eurostat database <https://ec.europa.eu/eurostat/web/gisco> and 'CartoBase SIANE' from 'Instituto Geografico Nacional' <https://www.ign.es/>. It also provides a 'leaflet' plugin and the ability of downloading and processing static tiles. License GPL-3 URL https://ropenspain.github.io/mapSpain/, https://github.com/rOpenSpain/mapSpain BugReports https://github.com/rOpenSpain/mapSpain/issues Depends R (>= 3.6.0) Imports countrycode (>= 1.2.0), giscoR (>= 0.2.4), leaflet (>= 2.0.0), png (>= 0.1-5), rappdirs (>= 0.3.0), raster (>= 3.0), sf (>= 0.9), slippymath (>= 0.3.1), utils Suggests knitr, rgdal, rmarkdown, testthat (>= 3.0.0), tibble, tmap (>= 3.0.0) VignetteBuilder knitr Config/testthat/edition 3 Encoding UTF-8 LazyData true RoxygenNote 7.1.2 X-schema.org-applicationCategory cartography X-schema.org-isPartOf https://ropenspain.es/ X-schema.org-keywords rOpenSpain, tiles, r, maps, spatial, rstats, r-package, municipalities, Spain, gisco, provinces, ign, administrative-boundaries, ccaa, static-tiles NeedsCompilation no 1 2 mapSpain-package Author Diego Hernangómez [aut, cre, cph] (<https://orcid.org/0000-0001-8457-4658>, rOpenSpain), EuroGeographics [cph] (for the administrative boundaries.), Instituto Geográfico Nacional [cph] (for the administrative boundaries.) Maintainer Diego Hernangómez <[email protected]> Repository CRAN Date/Publication 2021-09-10 12:10:06 UTC R topics documented: mapSpain-package . .2 addProviderEspTiles . .4 esp_clear_cache . .5 esp_codelist . .6 esp_dict_region_code . .8 esp_getTiles . .9 esp_get_can_box . 12 esp_get_capimun . 14 esp_get_ccaa . 17 esp_get_country . -
The American Society of Echocardiography
1 THE AMERICAN SOCIETY OF ECHOCARDIOGRAPHY RECOMMENDATIONS FOR CARDIAC CHAMBER QUANTIFICATION IN ADULTS: A QUICK REFERENCE GUIDE FROM THE ASE WORKFLOW AND LAB MANAGEMENT TASK FORCE Accurate and reproducible assessment of cardiac chamber size and function is essential for clinical care. A standardized methodology creates a common approach to the assessment of cardiac structure and function both within and between echocardiography labs. This facilitates better communication and improves the ability to compare results between studies as well as differentiate normal from abnormal findings in an individual patient. This document summarizes key points from the 2015 ASE Chamber Quantification Guideline and is meant to serve as quick reference for sonographers and interpreting physicians. It is designed to provide guidance on chamber quantification for adult patients; a separate ASE Guidelines document that details recommended quantification methods in the pediatric age group has also been published and should be used for patients <18 years of age (3). (1) For details of the methodology and the rationale for current recommendations, the interested reader is referred to the complete Guideline statement. Figures and tables are reproduced from ASE Guidelines. (1,2) Table of Contents: 1. Left Ventricle (LV) Size and Function p. 2 a. LV Size p. 2 i. Linear Measurements p. 2 ii. Volume Measurements p. 2 iii. LV Mass Calculations p. 3 b. Left Ventricular Function Assessment p. 4 i. Global Systolic Function Parameters p. 4 ii. Regional Function p. 5 2. Right Ventricle (RV) Size and Function p. 6 a. RV Size p. 6 b. RV Function p. 8 3. Atria p. -
Difference Between Angular Momentum and Pseudoangular
Difference between angular momentum and pseudoangular momentum Simon Streib Department of Physics and Astronomy, Uppsala University, Box 516, SE-75120 Uppsala, Sweden (Dated: March 16, 2021) In condensed matter systems it is necessary to distinguish between the momentum of the con- stituents of the system and the pseudomomentum of quasiparticles. The same distinction is also valid for angular momentum and pseudoangular momentum. Based on Noether’s theorem, we demonstrate that the recently discussed orbital angular momenta of phonons and magnons are pseudoangular momenta. This conceptual difference is important for a proper understanding of the transfer of angular momentum in condensed matter systems, especially in spintronics applications. In 1915, Einstein, de Haas, and Barnett demonstrated experimentally that magnetism is fundamentally related to angular momentum. When changing the magnetiza- tion of a magnet, Einstein and de Haas observed that the magnet starts to rotate, implying a transfer of an- (a) gular momentum from the magnetization to the global rotation of the lattice [1], while Barnett observed the in- verse effect, magnetization by rotation [2]. A few years later in 1918, Emmy Noether showed that continuous (b) symmetries imply conservation laws [3], such as the con- servation of momentum and angular momentum, which links magnetism to the most fundamental symmetries of nature. Condensed matter systems support closely related con- Figure 1. (a) Invariance under rotations of the whole system servation laws: the conservation of the pseudomomentum implies conservation of angular momentum, while (b) invari- and pseudoangular momentum of quasiparticles, such as ance under rotations of fields with a fixed background implies magnons and phonons.