Jason Anderson

British artist Jason Anderson creates colorful abstract paintings composed of pixelated swatches of pastel-toned oil paint. Up-close, the artist’s paintings look like blocky layers of shapes and color; but, from afar, his scenes—featuring cityscapes, roads, trains, and marinas—are revealed.

Anderson began his career as a stained glass apprentice, where he worked on restoring the windows of cathedrals. He soon progressed onto designing the glass murals himself, where he learned how to break down subject matter into “jigsaws” of colored sections. This approach still shines through in his paintings today—complex scenes are brought to life with simple shapes and careful consideration to hue and tone.

Energy formulas for imaginary matter

An imaginary matter is the mirror image of the corresponding real matter.

Energy formulas for real matters are still useful for imaginary matters if an observer is in the imaginary space. Then how are energy formulas for imaginary matters expressed if an observer who is in the real space could observe imaginary matters?

Suppose that observer A is in the real space and observer B is the mirror image of observer A in the imaginary space.

The space velocity vector and spacetime velocity vector measured by observer A are the opposite of those measured by observer B in the same way that the left and right sides of the mirror image are swapped, i.e., the space speed measured by observer A is constant at the maximum speed c and the spacetime speed measured by observer A is variable.

The relationship of these velocity vectors are shown in the figure below.

Assuming an imaginary matter moves at speed vi measured by observer B, the space speed vsB, time speed vtB and spacetime speed vstB measured by observer B are as follows:

On the other hand, the space speed vsA, time speed vtA and spacetime speed vstA measured by observer A are as follows:

The following equation holds true for time speed.

Hence, the following formula is obtained for the spacetime speed measured by observer A.

The spacetime speed measured by observer A is smaller as the space speed measured by observer B is larger.

Real matters cannot move at the speed of light at the cost of having mass, while imaginary matters also have mass but move at the speed of light.

Mass energy vector is in the time axis of the space-time complex plain and the time axis is common between the real space and imaginary space. Hence, the magnitude of mass energy vector is invariant for the spatial inversion. The imaginary space axis is at right angles to the real space axis in the space-space complex plain.

Therefore, the mass energy of imaginary matter measured by observer A is expressed as follows:

where “−i” is the operator that transfers from the real space to the imaginary space and m is mass.

The energy formulas for real matters in the range of v>c express those for imaginary matters, but the energy formulas of total energy and momentum energy are exchanged for each other. Therefore, the momentum energy Es and total energy Est of imaginary matter measured by observer A are expressed as follows:

For an imaginary matter at rest (vi = 0),

The space speed of imaginary matters is always zero because they have no momentum energy. Hence, an imaginary matter is equivalent to the real matter with (square root of 2) times the mass of the imaginary matter, moving at the speed of light.

The space velocity and time velocity of real matter, light and vacuum energy and those of imaginary matter converted into the real space are arranged below.

・Real matter : relative space speed and relative time speed ・Light : absolute space speed and no time velocity ・Vacuum energy : neither space velocity nor time velocity ・Imaginary matter : absolute space speed and absolute time speed

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astrorelations

4 years ago

crazyest new anime

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4 years ago

the mathematics students

crisp, grey mornings

the scratch of pencil on graph paper

working through complex problems just for the joy of it

baroque era piano music playing in the background

a love of patterns and puzzles

writing out your favorite proofs again and again

advanced math courses, sitting with the upperclassmen

the dusty green of an empty chalkboard

formulas scribbled on your hand in pen

going through a problem again and again until you understand it fully

carefully sketched graphs

short, bitten nails

ice cold water

hands marked with graphite

using math to take apart the world around you

doodling fractals on scratch paper

memorizing digits of pi just to show off to your friends

the moment of clarity when a problem fits together

hair clipped back out of your face

looking for fibonacci sequences in nature

watching a long and complicated equation simplify down to something short and compact

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4 years ago

1,000 Years of Scientific Texts From The Islamic World Are Now Online

Between the 9th and 19th centuries, Arabic-speaking scholars translated Greek, Latin and even Sanskrit texts on topics such as medicine, mathematics and astronomy, fostering a vibrant scientific culture within the Islamic world.

The library, a joint project of the British Library and the Qatar Foundation, offers free access to 25,000 pages of medieval Islamic manuscripts. Among some of the most significant texts:

The Book of Knowledge of Ingenious Mechanical Devices (1206 A.D.), which was inspired by an earlier, 9th-century translation of Archimedes’ writings on water clocks. Devices such as the “Elephant Clock” were the most accurate time-keeping pieces before the first pendulum clocks were built in the 17th century by the Dutch scientist Christiaan Huygens.

This is one of the only three recorded copies of an influential treatise on the construction and use of astrolabes by Abū al-Rayḥān Muḥammad ibn Aḥmad al-Bīrūnī (973-1048), containing 122 diagrams.

See more manuscripts at the Qatar Digital Library.

[via io9]

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3 years ago