187,398 research outputs found

    A Note on the Degenerate Morse Inequalities

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    In this paper we give an analytic proof of the degenerate Morse inequalities in the spirit of E. Witten. The max-min methods are used to estimate the number of ‘small’ eigenvalues of Witten’s deformed Laplacian.</p

    Homologia de morse para variedades com bordo

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    Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas, Programa de Pós-Graduação em Matemática e Computação Científica, Florianópolis, 2010Dada uma variedade Riemanniana M e uma função de Morse f definida em M, definimos os espaços modulares dos fluxos do campo vetorial gradiente negativo de f e investigamos a colagem de trajetórias desses espaços. Além disso, estudamos a orientação e uma compactificação trivial para os espaços modulares. Associamos à função de Morse f um complexo que consiste dos grupos livres gerados pelos pontos críticos de f e um operador de bordo contando linhas de fluxo orientadas. A homologia deste complexo, chamada Homologia de Morse, coincide com a Homologia Singular de M

    Multi-dimensional Morse Index Theorems and a symplectic view of elliptic boundary value problems

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    Morse Index Theorems for elliptic boundary value problems in multi-dimensions are proved under various boundary conditions. The theorems work for star-shaped domains and are based on a new idea of measuring the "oscillation" of the trace of the set of solutions on a shrinking boundary. The oscillation is measured by formulating a Maslov index in an appropriate Sobolev space of functions on this boundary. A fundamental difference between the cases of Dirichlet and Neumann boundary conditions is exposed through a monotonicity that holds only in the former case

    Letter from Robert R. McBurney and Richard C. Morse to Oliver C. Morse (April 13, 1891)

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    This is a letter written by Robert R. McBurney and Richard C. Morse to Oliver C. Morse. The letter is dated April 13, 1891. In the letter they express regret that they were unable to attend the special Trustee Meeting, but that they wished to express their opinion about the new athletic fields and campus of Springfield College, at the time known as the YMCA Training SchoolThis item is part of a folder that has been cataloged and is in the Springfield College Learning Commons holdings, see here: https://springfieldcollege.on.worldcat.org/oclc/85164088

    Morse, R.

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    Carte de Visite of R. Morse, 2nd Maine Infantry; From the Janet & Bedford Hayes Collectionhttps://digitalmaine.com/arc_civilwarportraits/3290/thumbnail.jp

    Morse, R.

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    Carte de Visite of R. Morse, 2nd Maine Infantry; From the Janet & Bedford Hayes Collectionhttps://digitalmaine.com/arc_civilwarportraits/3290/thumbnail.jp

    [Coastal steamer Electra, decked with signal flags, at riverside wharf being inspected by an unidentified crowd at quayside, New South Wales] [picture] /

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    This negative is in private ownership.; Part of: Robert Morse Withycombe collection.; Title devised by cataloguer based on information supplied by donor.; Condition of original: Some damage.; "R. Parsons in Australian coastal passenger ships (1981) reports Electra arrived in Australia in 1897"--File 202/24/00072.; Electronic reproduction. Canberra : National Library of Australia, 2002. 1 digital photograph : col. Mode of access: World Wide Web

    morse: 1.4

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    &lt;a class="anchor" href="#whats-new-in-morse-14"&gt;&lt;span class="octicon octicon-link"&gt;&lt;/span&gt;&lt;/a&gt;What's new in MORSE 1.4? &lt;a class="anchor" href="#general"&gt;&lt;span class="octicon octicon-link"&gt;&lt;/span&gt;&lt;/a&gt;General &lt;ul&gt; &lt;li&gt;Numpy is now needed for Morse. It is used in several places where computations using mathutils is not precise enough (float vs double precision).&lt;/li&gt; &lt;li&gt;Time management has been improved in various way. A &lt;strong&gt;morse_sync&lt;/strong&gt; tool has been introduced to improve precision and timing of high-frequency components (#683). If available in Blender (Blender &gt; 2.77), it is also possible to accelerate or slow-down the simulation (#388). Moreover, Morse now try to compute automatically the right time settings. If you meet any problem related to time, make sure to read the Time and Event documentation and / or report issue to the Morse project.&lt;/li&gt; &lt;/ul&gt; &lt;a class="anchor" href="#components"&gt;&lt;span class="octicon octicon-link"&gt;&lt;/span&gt;&lt;/a&gt;Components &lt;a class="anchor" href="#robots"&gt;&lt;span class="octicon octicon-link"&gt;&lt;/span&gt;&lt;/a&gt;Robots &lt;ul&gt; &lt;li&gt;the human avatar in MORSE has been entierly rewritten. The new human model is much simpler, yet much nicer (in particular, it features mesh skinning for good looking animations). On the downside, the interactive mode is gone for now. Depending on interest, it can be revived in a future version (possibly through external scripts, for added flexibility).&lt;/li&gt; &lt;/ul&gt; &lt;a class="anchor" href="#actuators"&gt;&lt;span class="octicon octicon-link"&gt;&lt;/span&gt;&lt;/a&gt;Actuators &lt;ul&gt; &lt;li&gt;the semantic of the Waypoint and Destination actuators has slightly changed: once the destination is reached, they do not attempt anymore to actively stay at this position. This permits another motion actuator to 'take over' the control of the robot. The previous behaviour is still desirable in certain cases (notably for flying robots), and can be re-enabled by setting the property RemainAtDestination to true: motion.properties(RemainAtDestination=True). This option is also added to the RotorcraftWaypoint actuator, but it defaults to true (hence, no behaviour change compared to MORSE 1.3).&lt;/li&gt; &lt;li&gt;the orientation actuator has been enhanced to possibly work more realistically, by limiting the speed of the rotations. The default is still to go directly to the desired orientation.&lt;/li&gt; &lt;li&gt;The keyboard and joystick actuators do not call anymore the robot apply_speed method with values set to zero when no input is received. The previous behaviour prevented them to be used in combination with another motion actuator (they would always overwrite other motion commands with zeros).&lt;/li&gt; &lt;li&gt;The Armature actuator has two new services (rotate_joints and translate_joints) that let the user set the rotations/translations of only a subset of the armature's joints by providing a custom mapping {joint name: value}.&lt;/li&gt; &lt;li&gt;The rotorcraft_attitude actuator has been extended to be able to control the rotorcraft in yaw rate or in absolute yaw (using the YawRateControl property). If it is the case, you can configure if you want to configure to use normal yaw or north using the property UseAngleAgainstNorth. Last, you can configure the actuator to use a linear or quadratic thrust model using LinearThrust.&lt;/li&gt; &lt;li&gt;Introduce the drag &quot;actuator&quot; which allows to simulate the drag (air resistance) force opposite to the move of the robot. It allows more realistic simulation (if desired).&lt;/li&gt; &lt;li&gt;Introduce the external_force actuator which allows to apply external force (typically force from the environment such as wind) to a robot. It has the same interface than force_torque, but apply force in the global frame.&lt;/li&gt; &lt;li&gt;Introduce the quadrotor_dynamic_control actuator which allows to control a quadrotor from the speed of its four engine, using simple dynamic equation.&lt;/li&gt; &lt;/ul&gt; &lt;a class="anchor" href="#sensors"&gt;&lt;span class="octicon octicon-link"&gt;&lt;/span&gt;&lt;/a&gt;Sensors &lt;ul&gt; &lt;li&gt; &lt;strong&gt;longitude&lt;/strong&gt;, &lt;strong&gt;latitude&lt;/strong&gt; and &lt;strong&gt;altitude&lt;/strong&gt; are not anymore properties of the GPS sensor but must be set at the environment level. Moreover, the property &lt;strong&gt;angle_against_north&lt;/strong&gt; allows to configure the angle between the X-axis and the geographic north (must be positive when the Blender X-axis is East of true North, negative if is West of true North).&lt;/li&gt; &lt;li&gt;Introduce the new high-level sensor Attitude, allowing to compute the attitude of the system&lt;/li&gt; &lt;li&gt;Introduce the sensor Magnetometer which allows to compute the magnetic field vector of the Earth.&lt;/li&gt; &lt;li&gt;Extend the sensor IMU to return also the magnetic field vector.&lt;/li&gt; &lt;li&gt;Fixed the collision sensor: it now detects collision only when it is actually colliding (before, any object in a 1x1x1m box around the sensor would return a collision). While here, improve the documentation with a complete example.&lt;/li&gt; &lt;li&gt;Introduce the airspeed sensor , which allows to compute the speed of a vehicle relative to the air.&lt;/li&gt; &lt;/ul&gt; &lt;a class="anchor" href="#modifiers"&gt;&lt;span class="octicon octicon-link"&gt;&lt;/span&gt;&lt;/a&gt;Modifiers &lt;ul&gt; &lt;li&gt;Introduce ECEF, Geodetic, Geocentric modifiers, allowing to convert coordinates from Blender world to ECEF-r or Geodetic or Geocentric coordinates (and vice-versa). It should improve interoperability with flight systems in general.&lt;/li&gt; &lt;li&gt;Introduce Feet modifier, to convert imperial units to meter buts (and vice-versa)&lt;/li&gt; &lt;/ul&gt; &lt;a class="anchor" href="#middlewares"&gt;&lt;span class="octicon octicon-link"&gt;&lt;/span&gt;&lt;/a&gt;Middlewares &lt;a class="anchor" href="#general-1"&gt;&lt;span class="octicon octicon-link"&gt;&lt;/span&gt;&lt;/a&gt;General &lt;ul&gt; &lt;li&gt;Introduce a binding for the Mavlink protocol easing the interoperability of Morse with a lot of free autopilots / architectures.&lt;/li&gt; &lt;/ul&gt; &lt;a class="anchor" href="#ros"&gt;&lt;span class="octicon octicon-link"&gt;&lt;/span&gt;&lt;/a&gt;ROS &lt;ul&gt; &lt;li&gt;Some ROS 'housekeeping' has been performed in this release, including removing the need for rospkg (easier installation!), removing ROS interface with the non-standard (and unused?) JointPositions message and removing references roslib.load_manifest(), a memory of rosbuild-era.&lt;/li&gt; &lt;/ul&gt; &lt;a class="anchor" href="#hla"&gt;&lt;span class="octicon octicon-link"&gt;&lt;/span&gt;&lt;/a&gt;HLA &lt;ul&gt; &lt;li&gt;Handle automatically the case where attributed published by Morse are not owned by it.&lt;/li&gt; &lt;li&gt;Allow to specify a stop_time for the simulation (in simulated seconds)&lt;/li&gt; &lt;li&gt;Make lookahead configurable for the Morse federate&lt;/li&gt; &lt;/ul&gt; &lt;a class="anchor" href="#yarp"&gt;&lt;span class="octicon octicon-link"&gt;&lt;/span&gt;&lt;/a&gt;YARP &lt;ul&gt; &lt;li&gt;Add an adapter for Depth Cameras.&lt;/li&gt; &lt;/ul&gt; &lt;a class="anchor" href="#builder-api"&gt;&lt;span class="octicon octicon-link"&gt;&lt;/span&gt;&lt;/a&gt;Builder API &lt;a class="anchor" href="#api-addition"&gt;&lt;span class="octicon octicon-link"&gt;&lt;/span&gt;&lt;/a&gt;API addition &lt;ul&gt; &lt;li&gt;It is now possible to import environment composed of multiples scenes. The user should select which is the &quot;main_scene&quot; when importing the environment. Moreover, a method &quot;Environment.set_background_scene&quot; has been added to configure the scene to use in background (#651).&lt;/li&gt; &lt;li&gt;The method &quot;bpymorse.set_speed&quot;, used to changed the frequency of Morse main loop is now deprecated in favor of &quot;Environment.simulator_frequency&quot;.&lt;/li&gt; &lt;li&gt;The method Environmement.set_time_scale allows to accelerate or slow-down the simulation (#388).&lt;/li&gt; &lt;li&gt;The new method &quot;Environment.use_vsync&quot; allows to control the vsync parameter&lt;/li&gt; &lt;/ul&gt; &lt;a class="anchor" href="#pymorse"&gt;&lt;span class="octicon octicon-link"&gt;&lt;/span&gt;&lt;/a&gt;Pymorse &lt;ul&gt; &lt;li&gt;Robots created in loop are handled smartly. They are still usable as previously, but it is also possible to access them using the list foos (if your robot name is foo) (#358).&lt;/li&gt; &lt;li&gt;Streams are now created lazily, fixing control with large number of robots / sensors (#626).&lt;/li&gt; &lt;/ul&gt

    R. C. Derby, 1874

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    Cabinet photograph of R. C. Derby, photographed by George Daniels Morse (at 417 Montgomery Street in San Francisco) and dated 1874

    Morse R salt marsh

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    air view Morse R marsh Project Name: Kelley NGGDPP Grant 2019https://digitalmaine.com/mgs_geologic_field_photos/9641/thumbnail.jp
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