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• Optical density
  Q: I ... am wondering if this program is capable of measuring the optical density of images. ...may be a problem. For example, if you need to compute the average optical density for a region in the image, then you face this difficulty:
  1,004 bytes (165 words) - 02:11, 24 September 2010

Page text matches

• Rates of change
  ==Linear Density== Define: $\text{linear density} = \frac{\text{mass}}{\text{length}}$.
  4 KB (678 words) - 15:47, 2 May 2011
• PDEs
  ...onal to the difference of the amounts of material (or, more precisely, the density) in $\alpha$ and the other room adjacent to $a$. So, One can clearly see how the density becomes uniform eventually -- but not across an impenetrable wall ($k(A_5)=
  44 KB (7,469 words) - 18:12, 30 November 2015
• Diffusion
  ...ortional to the difference of amounts of material (or, more precisely, the density) in $a$ and the other room adjacent to $A$. So, One can clearly see how the density becomes uniform eventually -- but not across an impenetrable wall ($k(A_5)=
  39 KB (6,850 words) - 15:29, 17 July 2015
• Integrals of functions of several variables
  ...s the mass of a rectangular contained (box) filled with a gas of variables density? 1&\text{interval }[a,b]&\text{area under the graph in }{\bf R}^2&\text{linear density}\\
  73 KB (13,324 words) - 14:06, 24 November 2018
• Differential calculus of parametric curves
  ...know (from Chapter 13) the answer when this is a straight segment with the density given as a function on this segment such as this metal rod: For a numerical function $f$ on segment $[a,b]$ (linear density), we defined the weight as its Riemann integral $\int_a^bf\, dx$.
  130 KB (22,842 words) - 13:52, 24 November 2018
• Diffusion equation
  ...onal to the difference of the amounts of material (or, more precisely, the density) in $\alpha$ and the other room adjacent to $a$. So, We have used interchangeably “amount of material” and “density of material”. The reason is that we ignore the possibility of cells of di
  35 KB (5,917 words) - 12:51, 30 June 2016
• Applications of integral calculus
  ==The linear density and the mass== Recall how the ''linear density'' was defined. We are given a metal rod:
  103 KB (18,460 words) - 01:01, 13 February 2019
• The geometry a gray scale image
  ...enter of mass of an object is computed as if this is a lamina with uniform density. Generally, the center of mass is found via computing 3 integrals over the ...mage we have an alternative. We can treat the gray values as values of the density of the lamina. The total amount of gray, or ''mass'', in the object in comp
  12 KB (1,927 words) - 03:29, 29 October 2012
• Integration in dimension n
  ...te volumes of complicated figures and the mass of objects with non-uniform density. Suppose we have a (real) box $B$ filled with stuff of varied density. Mathematically, the situation is captured by a function
  33 KB (5,415 words) - 05:58, 20 August 2011
• Mass as an integral
  ...te volumes of complicated figures and the mass of objects with non-uniform density. Suppose we have a (real) box B filled with stuff of varied density. Mathematically, the situation is captured by a function
  3 KB (642 words) - 02:55, 17 August 2010
• Measuring objects
  ...enter of mass of an object is computed as if this is a lamina with uniform density. Generally, the center of mass is found via computing 3 integrals over the ...n object can be understood as its mass as if this is a lamina with uniform density. However, this approach ignores the gray values of the pixels.
  9 KB (1,526 words) - 16:52, 2 January 2011
• Diffusion with various geometry
  which is simply the ''density'' of the material inside $a$. *directly proportional to the difference of density in $a$ and those of its two neighbors, and
  13 KB (2,121 words) - 16:33, 7 June 2013
• Optical density
  Q: I ... am wondering if this program is capable of measuring the optical density of images. ...may be a problem. For example, if you need to compute the average optical density for a region in the image, then you face this difficulty:
  1,004 bytes (165 words) - 02:11, 24 September 2010
• The derivative
  '''Example (density).''' Suppose we are given a uniform metal rod: $$\text{average linear density} = \frac{\text{mass}}{\text{length}}.$$
  75 KB (13,000 words) - 15:12, 7 December 2018
• Wave equation from Maxwell equations
  ...• the magnetic induction• the magnetic field density, • the magnetic flux density; ...acement field'', also called • the electric induction, • the electric flux density;
  4 KB (655 words) - 14:51, 13 July 2012
• Maxwell equations
  ...• the magnetic induction• the magnetic field density, • the magnetic flux density; ...acement field'', also called • the electric induction, • the electric flux density;
  6 KB (922 words) - 00:30, 9 April 2016
• Several variables
  ...x$ and then the increase followed by the decrease of $y$. In addition, the density of the points indicates the speed of the motion. $\square$ ...n cartography: elevation, temperature, humidity, precipitation, population density, etc.:
  76 KB (13,017 words) - 20:26, 23 February 2019
• Saliency
  ...n object can be understood as its mass as if this is a lamina with uniform density. However, this approach ignores the gray values of the pixels. ...mage we have an alternative. We can treat the gray values as values of the density of the lamina.
  4 KB (578 words) - 03:24, 17 October 2010
• Tutorial
  ...of the centroid = the center of mass of the object as a lamina of uniform density), *''location of the center of mass'' (of the object as a lamina with density = gray level), -- not currently
  15 KB (2,525 words) - 16:16, 23 May 2010
• Modern Thermodynamics by John Denker
  ...ar, there is a well-defined local temperature, a well-defined local energy density, et cetera." 25 Density Matrices
  8 KB (1,251 words) - 03:54, 29 March 2011
• Elementary PDEs
  One can clearly see how the density becomes uniform eventually -- but not across an impenetrable wall ($k(A_5)= *directly proportional to the difference of density in $a$ and $a'$, and
  16 KB (2,843 words) - 21:41, 23 March 2016
• Faraday's Law
  ...• the magnetic induction• the magnetic field density, • the magnetic flux density;
  676 bytes (103 words) - 13:26, 13 July 2012
• Counting fixed and live red blood cells
  ...This number would have to be found manually. Considering the fact that the density varies a lot, the resulting estimate would be quite crude.</p>
  4 KB (715 words) - 15:06, 9 October 2010
• Darcy's flow
  *Density and porosity are constant. *$\rho$ is the density of the flow.
  2 KB (343 words) - 12:45, 30 August 2013
• Applications of ODEs
  *$\rho$ is the density of the air, *the density of the air $\rho = 0.074887$ pounds per cubic foot,
  50 KB (8,692 words) - 14:29, 24 November 2018
• Calculus Illustrated
  2 The linear density and the mass 4 The radial density and the mass
  16 KB (1,933 words) - 19:50, 28 June 2021
• Output tab
  ...of the centroid = the center of mass of the object as a lamina of uniform density), *''location of the center of mass'' (of the object as a lamina with density = gray level), -- not currently
  10 KB (1,684 words) - 21:02, 13 June 2010
• Discrete calculus article
  ...re related through discrete calculus. The [[mass]] of an object of known [[density]] that varies incrementally, the [[moment of inertia]] of such objects, as ...to determine the probability of a discrete random variable from an assumed density function.
  27 KB (4,329 words) - 16:02, 1 September 2019
• Partial differential equations
  ...e amount of heat (or material), we need to include the temperature (or the density of the material) in our analysis! Of course, the latter is simply the forme ...te from their current location to an adjacent area with a lower population density. Below we imagine two areas in a country: one is densely and uniformly popu
  53 KB (9,682 words) - 23:19, 18 November 2018
• Functions in higher dimensions
  *4. a $3$-form: the density of the liquid inside the box.
  113 KB (19,680 words) - 00:08, 23 February 2019
• Persistent homology
  ...n(r),$ where $r$ is the radius of the ball, and $m=m(d),$ where $d$ is the density of the cloud. Homology theory allows us to handle this situation as well. S
  9 KB (1,504 words) - 04:14, 6 November 2012
• Calculus by Rogawski
  6.2 Setting Up Integrals: [[Volume]], [[Density]], Average Value
  6 KB (634 words) - 16:38, 1 March 2013
• Isotropy in numerical PDEs
  **increasing density and
  10 KB (1,593 words) - 13:20, 8 April 2013
• Geometry
  ...ds represented by edges in our complex and if $\rho$ represents the linear density of each rod, then the integral gives us the ''weight'' of the curve.
  41 KB (6,928 words) - 17:31, 26 October 2015
• Pseudocode for gray scale images
  ...eir measurements and other characteristics: [[area]], integrated [[optical density]], [[contrast]], etc. The most typical is the area, as below.
  3 KB (527 words) - 17:16, 7 December 2009
• Calculus exercises: part II
  ...r. Find the work needed to pump half of the water out of the aquarium (the density of water is $1000$ kg/m$^{3}$).
  15 KB (2,591 words) - 17:15, 8 March 2018
• Line integrals
  providing the mass of a curve of variable density. The third is the ''line integral along an oriented curve'':
  12 KB (2,194 words) - 14:37, 5 December 2017
• Image Sequences
  ...enerally, the parameter may be any numerical value (pressure, temperature, density, etc).
  19 KB (2,899 words) - 13:33, 29 May 2009
• Robustness of topology: persistence
  A similar construction is possible that uses the density of points instead of the distances.
  12 KB (2,000 words) - 22:54, 5 April 2014
• Calculus exercises: part III
  ...occupies the region $D$ bounded by $y=e^{x},\ $y=0,$\ x=0,\ x=1$, and its density function is $\rho(x,y)=y.$
  46 KB (8,035 words) - 13:50, 15 March 2018
• Measure vegetation coverage
  ...area of the board covered by plant material to serve as an index of plant density." We would like to "develop .. a simple protocol for estimating area-covere
  7 KB (1,239 words) - 16:21, 4 March 2011
• Control of electron transport
  a high density. When the energy of the electrical field becomes higher than the primary be
  2 KB (242 words) - 05:15, 2 March 2011
• Robustness of topology of digital images and point clouds by Saveliev
  their points and, for example, the density of the points.
  27 KB (4,547 words) - 04:08, 6 November 2012
• Membranes containing proteins
  ...evenly distributed. You can compute the average distance by looking at the density of particles (number of particles / the area of the image). Also you can th
  3 KB (456 words) - 16:06, 6 October 2010
• Corneal endothelial cells of the human eye
  The cell density is the total [[area]] divided by the number of cells. The [[counting|number
  2 KB (283 words) - 15:57, 6 October 2010
• Students research projects
  ...ogy in the examination of two dimensional and three dimensional grey-scale density maps of the human brain. The ability of MR to section the brain into slice
  11 KB (1,674 words) - 23:20, 25 October 2011
• Metric complexes
  ...ods represented by edges in our complex while $\rho$ represents the linear density of each rod, the integral gives us the ''weight'' of the curve.
  35 KB (5,871 words) - 22:43, 7 April 2016
• A graph, non-tree representation of the topology of a gray scale image by Saveliev
  ...uch a simple fashion are the total [[intensity]], the integrated [[optical density]] and similar.
  41 KB (6,854 words) - 15:05, 28 October 2011
• The behaviour of double oxide film defects in liquid Al alloys
  ...ined by optical microscopy... Porosity parameters, namely, the pore number density (i.e., number of [[holes|pores]] per unit area of the examined cross-sectio
  2 KB (229 words) - 02:48, 26 October 2010
• Metric tensor
  ...ds represented by edges in our complex and if $\rho$ represents the linear density of each rod, then the integral gives us the ''weight'' of the curve.
  42 KB (7,131 words) - 17:31, 30 November 2015

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