Thus, dark blue jerseys, were introduced with white shorts and the red socks of 1908.

Thus, on a real computer display, each pixel is actually composed of separate red, green, and blue subpixels.

Thus, the red plane shows the points with x = 1, the blue plane shows the points with z = 1, and the yellow plane shows the points with y =− 1.

Thus, ice appears blue, with a slightly greener tint than for liquid water.

Thus, certain color contrasts may look fuzzier than others, depending on the allocation of the primary colors ( green has twice as many elements as red or blue in the Bayer arrangement ).

Thus George, tree, tall and blue are examples of well formed constant symbols.

Thus integration by parts may be thought of as deriving the area of the blue region from the total area and that of the red region.

Thus, they appear sky-blue ( caesius is Latin for pale blue ).

Thus, the flags of the United States, Australia and the United Kingdom might be described as tricolours, while the flag of India ( which has a blue charge in the centre ) would not.

Thus, east is red, north is white, west is black, south is yellow, sky is blue, earth is green and the center is clear ( Thompson 1965 ).

Thus, Aristea ( approximately 56 species ), which has radially symmetric, mostly blue flowers, has three different pollination systems, whereas Sparaxis ( 15 species ), with both zygomorphic and secondarily radially symmetric flowers, in a variety of colors, exhibits five different pollination systems, and Gladiolus, with a similar array of floral types but over two hundred species, exploits seven different pollination systems, some of which have evolved multiple times.

Thus, her successor, Eric of Pomerania used a coat of arms quartered between the coats of arms of Denmark ( three blue lions on a golden shield ), Norway ( a golden lion with an axe on a red shield ) and Sweden ( a golden lion on blue and white wavy stripes ) plus the union mark with the three golden crowns on a blue shield, which is also the case for the following union Kings in the 15th century.

Thus, they were able to discriminate between gray and blue backgrounds, showing their capability for color vision.

Thus, " the sky is blue " ( and all other actually true propositions ) is logically possible: there exists some logically coherent way for the world to be such that it is true, viz., the way that the world actually is.

" Thus he combined the blue, white and red of the French tricolour and the Pan-African colors red, green and yellow.

Thus, after 1864, the plain blue ensign is permitted to be worn, instead of the Red Ensign, by two categories of civilian vessel:

Thus, the angle θ does not change as its apex point is moved around on the circle ( green, blue and gold angles ).

Thus, the TRE is now shown as a dark blue line on DART maps.

Thus, instead of having a " warrior ", " wizard ", and " valkyrie " ( for instance ), in Gauntlet II there could be a " red wizard ", a " blue elf " and a " green warrior ".

Thus, blue is said to be out of gamut.

Thus in areas where blue mussels are threatened, such as the Wadden Sea, it is of great importance to enhance the survival of mussel fields, of which mussel aggregates are the primary component.

Thus the complexity of a digital filter and the computing time involved, grows inversely with, placing a higher cost on filter functions which better approximate the desired behavior.

Thus, when a differential amplifier is used to extract this difference, its output constitutes the low pass filter section.

Thus, given a linear filter evaluated through, for example, reverse correlation, one can rearrange the two spatial dimensions into one dimension, thus yielding a two dimensional filter ( space, time ) which can be decomposed through SVD.

Thus, the output of the second filter vanishes when the coefficients of the first one are input into it.

Thus, nodule mining could cause habitat alteration, direct mortality of benthic creatures, or suspension of sediment, which can smother filter feeders.

Thus, the circuit behaves as a low-pass filter.

Thus, if a site receives spam advertising " herbal Viagra ", the administrator might place this phrase in the filter configuration.

Thus, a statistical filter does not reflect the software author's or administrator's biases as to content, but rather the user's biases.

Thus, applying an edge detection algorithm to an image may significantly reduce the amount of data to be processed and may therefore filter out information that may be regarded as less relevant, while preserving the important structural properties of an image.

Thus a low-cut or rumble filter is used to remove infrasonic energy from a program which may consume undue amplifier power and cause excessive excursions in ( or even damage to ) speakers.

Thus a high-cut or hiss filter may be used to remove annoying white noise at the expense of the crispness of the program material.

Thus in an image processing context the original image ƒ can be recovered from the ' sinogram ' data Rƒ by applying a ramp filter ( in the variable ) and then back-projecting.

Thus a system that can filter images based on their content would provide better indexing and return more accurate results.

Thus, our optimal matched filter is

Thus, in the current context of downsampling, the anti-aliasing filter must be a low-pass filter.

Thus, the circuit behaves as a high-pass filter.

Thus capacitors " filter out " constant pressure differences and slowly-varying, low-frequency pressure differences, while allowing rapid changes in pressure to pass through.

Thus to apply a linear filter, one must first gamma decode the values – and if resampling, one must gamma decode, resample, then gamma encode.

Thus there are many references which filter through into Shakespeare's plays and sonnets derived from this body of thought ; particularly in the description of important characters, and to the power of music above all to ' charm the savage breast ', adjust the elements, and restore the equilibrium and balance, the ' harmony ' of the soul: his characters call for music and are spellbound or restored by it, and in elevated mood, may hear it in the air, or sense its immortal harmonies everywhere.

Thus the Lanczos filter, on its interval, is a product of two sinc functions.