Thứ Ba, 31 tháng 1, 2017

Waching daily Feb 1 2017

NEW DEVELOPMENTS INVOLVING

THIS WATER LINE BREAK NEAR YALE

AND APACHE.

CREWS ARE WORKING ON ONE AND

THEN THERE WAS ANOTHER BREAK

NEAR 4th AND BOULDER.

Reporter: LOOK AT THAT WATER

SHOOTING INTO THE SKY.

THE CONTRACTOR HAD TO STOP FOR

SEVERAL HOURS WHILE THESE GUYS

WORKED TO FIX THE BREAK.

THE CITY SAYS ABOUT A HANDFUL

OF CUSTOMERS WERE IMPACTED BY

THIS BUT TRAFFIC WAS NOT

BECAUSE WHERE THE LINE BROKE,

THAT SIDE OF THE ROAD WAS

ALREADY CLOSE.

BUT DOWNTOWN AT BOULDER AND 4th

STREET, IT IS A DIFFERENT

STORY. I CAME THROUGH AND THAT

STREET WAS BLOCKED OFF BY THE

TRUCKS.

Reporter: THE ROAD WAS

CLOSED MONDAY NIGHT AND IT IS

STILL CLOSED THIS EVENING

BECAUSE OF A FOUR INCH

WATERLINE LEAK.

KAREN ALWAYS STATE FINGER HOUSE

AND SHE SAYS THE BUSINESS HAS

BEEN HERE FOR SIX YEARS AND SHE

HAS SEEN DOZENS OF WATER LINE

BREAKS. BUT SHE SAYS THE ROAD

USUALLY REOPENS WHEN THE LINE

IS FIXED AND THAT IS NOT THE

CASE THIS TIME. THE PAVEMENT

HAS TO BE REPAIRED THIS TIME.

THE CONTRACTOR DIDN'T COME OUT

TO PUT DOWN NEW CONCRETE AND

NOW THEY HAVE TO OVERLAY THE

ROAD WITH ASPHALT AND THAT

CANNOT BE DONE UNTIL WEDNESDAY.

THE ROAD WILL NOT BE OPEN UNTIL

WEDNESDAY AFTERNOON, AT THE

EARLIEST.

AND SAYS THIS IS NOT GOOD FOR

HER BUSINESS.

I HAVE TUESDAY CUSTOMERS AND

I HATE TO SEE THEM MISSING

THEIR BACON CHEESEBURGERS.

Reporter: THE WATER IS BACK ON

WERE BOTH WATER LINE BREAKS

For more infomation >> VIDEO: Water spews after north Tulsa break - Duration: 2:02.

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My First Video!!! - Duration: 1:20.

9 of Hearts

Thx for watching!!

For more infomation >> My First Video!!! - Duration: 1:20.

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Video: Tom Messner is looking for snow for the Wednesday AM commute. 1.31.17 - Duration: 4:33.

AND RESTORE THE

ORIGINAL GONDOLA.

ORIGINAL GONDOLA. TOM: THAT WOULD BE FANTASTIC IN

TOM: THAT WOULD BE FANTASTIC IN NEW YORK.

NEW YORK. I HEARD THE SKATING WAS GOOD,

I HEARD THE SKATING WAS GOOD, BUT IT WAS COLD, BUT THEY HAVE

BUT IT WAS COLD, BUT THEY HAVE BEEN MAKING SNOW.

BEEN MAKING SNOW. WE HAVE NATURAL SNOW AND WE WILL

WE HAVE NATURAL SNOW AND WE WILL GET MORE.

GET MORE. DO YOU KNOW HOW COLD IT WAS?

DO YOU KNOW HOW COLD IT WAS? BRIAN: COLD.

BRIAN: COLD. 13?

13? STEPHANIE: FOUR.

STEPHANIE: FOUR. TOM: IT WAS NINE!

TOM: IT WAS NINE! WE HAVE YOU COVERED.

WE HAVE YOU COVERED. EVER SEE "QUIZ SHOW," THAT WAS

EVER SEE "QUIZ SHOW," THAT WAS COOL.

COOL. BIG CHEATERS.

BIG CHEATERS. NORTHERN NEW YORK IS WHERE IT

NORTHERN NEW YORK IS WHERE IT WAS THE COLDEST AT 19 BELOW IN

WAS THE COLDEST AT 19 BELOW IN SARANAC, AND YOU GET INTO THE

SARANAC, AND YOU GET INTO THE POSITIVE TERRITORY.

POSITIVE TERRITORY. CERTAINLY NOT FOR EVERYONE.

CERTAINLY NOT FOR EVERYONE. WE HAD NEGATIVE NUMBERS IN

WE HAD NEGATIVE NUMBERS IN NORTHEAST KINGDOM AND THE

NORTHEAST KINGDOM AND THE TEMPERATURES ARE EASY TO TAKE,

TEMPERATURES ARE EASY TO TAKE, 26 IN BURLINGTON AND 24 IN

26 IN BURLINGTON AND 24 IN PLATTSBURGH AND 20'S IN MUST

PLATTSBURGH AND 20'S IN MUST PLACES, WITH SOME EXCEPTIONS

PLACES, WITH SOME EXCEPTIONS ALONG THE NORTHERN TIER IN

ALONG THE NORTHERN TIER IN NEWPORT AND MONTREAL.

NEWPORT AND MONTREAL. IF YOU ARE STEPPING OUT IN THE

IF YOU ARE STEPPING OUT IN THE CHAMPLAIN VALLEY, YOU WILL BE IN

CHAMPLAIN VALLEY, YOU WILL BE IN GOOD SHAPE.

GOOD SHAPE. PARTLY CLOUDY AND LESS THEN AN

PARTLY CLOUDY AND LESS THEN AN HOUR, AT MID-50'S BUT A LOT OF

HOUR, AT MID-50'S BUT A LOT OF CLOUDS BY A COUPLE OF HORSES

CLOUDS BY A COUPLE OF HORSES FROM THEN SO FIGURE 9:00 AND

FROM THEN SO FIGURE 9:00 AND 11:00 AND THICKENING UP BECAUSE

11:00 AND THICKENING UP BECAUSE THE SYSTEM TO THE WEST WILL

THE SYSTEM TO THE WEST WILL CONTINUE TO AFFECT US AND

CONTINUE TO AFFECT US AND RESEARCH UP IF YOU WANT TO CULL

RESEARCH UP IF YOU WANT TO CULL IT THAT BECAUSE IT WILL GO SOUTH

IT THAT BECAUSE IT WILL GO SOUTH OF US AND KICK THE HIGH PRESSURE

OF US AND KICK THE HIGH PRESSURE OUT OF HERE AND THAT HELPED WITH

OUT OF HERE AND THAT HELPED WITH THE SUNSHINE TODAY AND THIS TAKE

THE SUNSHINE TODAY AND THIS TAKE OVER.

OVER. THIS COMES ON THROUGH, WE HAVE

THIS COMES ON THROUGH, WE HAVE SNOW AROUND HERE LATE TONIGHT

SNOW AROUND HERE LATE TONIGHT INTO TOMORROW

INTO TOMORROW IT IS LIGHT SNOW.

IT IS LIGHT SNOW. NOT A MAJOR STORM.

NOT A MAJOR STORM. BUT THE TIMING IS STINKS.

BUT THE TIMING IS STINKS. THE COMMUTE WILL HAVE SNOW

THE COMMUTE WILL HAVE SNOW COMING DOWN SO BE AWARE OF SLICK

COMING DOWN SO BE AWARE OF SLICK ROADS.

ROADS. WE HAVE A COLD FRONT MOVING

WE HAVE A COLD FRONT MOVING THROUGH BEHIND THIS.

THROUGH BEHIND THIS. IT WILL THEN BE COLD AROUND HERE

IT WILL THEN BE COLD AROUND HERE AGAIN.

AGAIN. IT IS ALL RELATIVE.

IT IS ALL RELATIVE. IT HAS BEEN VERY, VERY WARM IN

IT HAS BEEN VERY, VERY WARM IN JANUARY.

JANUARY. >> STORM TRACKER, THE MAIN EVENT

>> STORM TRACKER, THE MAIN EVENT TO THE SOUTH IN SOUTHERN NEW

TO THE SOUTH IN SOUTHERN NEW ENGLAND WITH AN ADVISORY IN

ENGLAND WITH AN ADVISORY IN AFFECT AND PLACES LIKE BEST AND

AFFECT AND PLACES LIKE BEST AND TOWARD PROVIDENCE AND HARTFORD

TOWARD PROVIDENCE AND HARTFORD LOOKING FOR 1 TO 3 INCH AND THE

LOOKING FOR 1 TO 3 INCH AND THE TEAMING IS BAD BECAUSE IT IS THE

TEAMING IS BAD BECAUSE IT IS THE AFTERNOON AND EVENING COMMUTE

AFTERNOON AND EVENING COMMUTE HAPPENING NOW.

HAPPENING NOW. TO THE WEST, YOU CAN SEE THE

TO THE WEST, YOU CAN SEE THE REMNANTS OF THE SYSTEM SO A LAST

REMNANTS OF THE SYSTEM SO A LAST SNOW AROUND THE GREAT LAKES.

SNOW AROUND THE GREAT LAKES. NOT GREAT DEPTHS BUT A LOT OF

NOT GREAT DEPTHS BUT A LOT OF AREAS WITH SNOW.

AREAS WITH SNOW. TOM MORNING, WE COULD HAVE LIGHT

TOM MORNING, WE COULD HAVE LIGHT SUNNY.

SUNNY. IT IS.

IT IS. CAN DOWN.

CAN DOWN. EVEN AT 8:00 AND IT STARTS

EVEN AT 8:00 AND IT STARTS BEFORE THAT.

BEFORE THAT. A CHANCE FOR SNOW SHOWERS AT

A CHANCE FOR SNOW SHOWERS AT NOON.

NOON. THEN A LOT OF CLOUDS.

THEN A LOT OF CLOUDS. MOST OF THE SNOW IN THE FIRST

MOST OF THE SNOW IN THE FIRST HALF OF THE DAY.

HALF OF THE DAY. WE ARE LOOKING AHEAD AT 8:30 NOT

WE ARE LOOKING AHEAD AT 8:30 NOT MUCH GOING ON BUT WATCH HOW THE

MUCH GOING ON BUT WATCH HOW THE CLOUDS THICKEN UP WITH THE SUNNY

CLOUDS THICKEN UP WITH THE SUNNY FOR THE COMMUTE.

FOR THE COMMUTE. THE EVER HEAVIER STUFF OR THE

THE EVER HEAVIER STUFF OR THE MOTHER STEADY STUFF IS EAST THE

MOTHER STEADY STUFF IS EAST THE CHAMPLAIN VALLEY AT 7:00

CHAMPLAIN VALLEY AT 7:00 TOMORROW MORNING AND IT IS

TOMORROW MORNING AND IT IS LIGHTENING UP BY THE AFTERNOON

LIGHTENING UP BY THE AFTERNOON AND, STILL, SNOW TO THE WEST

AND, STILL, SNOW TO THE WEST BECAUSE OF WHAT IS HAPPENING

BECAUSE OF WHAT IS HAPPENING WITH LAKE ONTARIO WHERE WE ARE

WITH LAKE ONTARIO WHERE WE ARE EXPECTING A BUNCH OF LAKE-EFFECT

EXPECTING A BUNCH OF LAKE-EFFECT SNOW.

SNOW. THE THURSDAY GROUNDHOG DAY WE

THE THURSDAY GROUNDHOG DAY WE ARE LOOKING GOOD AND THE

ARE LOOKING GOOD AND THE LAKE-EFFECT SNOW IS RAMPING UP

LAKE-EFFECT SNOW IS RAMPING UP AS WE GET INTO FRIDAY WITH THE

AS WE GET INTO FRIDAY WITH THE LICK AFFECT SNOW COMING INTO THE

LICK AFFECT SNOW COMING INTO THE ADIRONDACKS BUT MOST OF US ON

ADIRONDACKS BUT MOST OF US ON FRIDAY, MORE CLOUDS THAN

FRIDAY, MORE CLOUDS THAN SUNSHINE BUT NOT A LAST SNOW.

SUNSHINE BUT NOT A LAST SNOW. HOW MUCH SUNNY THIS TIME?

HOW MUCH SUNNY THIS TIME? ABOUT 1 INCH IN THE CHAMPLAIN

ABOUT 1 INCH IN THE CHAMPLAIN VALLEY AND MORE HEADED TO THE

VALLEY AND MORE HEADED TO THE SOUTH.

SOUTH. IT IS ALL ABUT THE TIMING.

IT IS ALL ABUT THE TIMING. THICKENING CLOUDS, AND LIGHT

THICKENING CLOUDS, AND LIGHT SNOW AT DAWN TOMORROW MORNING,

SNOW AT DAWN TOMORROW MORNING, AND WE WILL CALL IT A SLOW OF 17

AND WE WILL CALL IT A SLOW OF 17 IN THE CHAMPLAIN VALLEY.

IN THE CHAMPLAIN VALLEY. GETTING INTO THE 30'S IN THE

GETTING INTO THE 30'S IN THE CHAMPLAIN VALLEY BUT MOVING TO

CHAMPLAIN VALLEY BUT MOVING TO THE SOUTH IT WILL BE WARMER THAN

THE SOUTH IT WILL BE WARMER THAN THAT WITH LIGHT SUNNY.

THAT WITH LIGHT SUNNY. 31 TOMORROW.

31 TOMORROW. GROUNDHOG DAY.

GROUNDHOG DAY. COMING UP ON THURSDAY.

COMING UP ON THURSDAY. PARTLY SUNNY.

PARTLY SUNNY. A HIGH OF 26 WITH MORE CLOUDS

A HIGH OF 26 WITH MORE CLOUDS THAN SUN.

THAN SUN. PARTLY SUNNY ON SATURDAY.

PARTLY SUNNY ON SATURDAY. BETTER CHANCE FOR SNOW SHOWERS

BETTER CHANCE FOR SNOW SHOWERS ON SUNDAY.

For more infomation >> Video: Tom Messner is looking for snow for the Wednesday AM commute. 1.31.17 - Duration: 4:33.

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VIDEO: County seeks input in taxpayer-funded project - Duration: 1:48.

ALL NEW TONIGHT AT 6:00

P.M., A VISION PLAN IS SET TO

GET UNDERWAY BUT YOUR INPUT IS

STILL NEEDED.

RICK MARANON IS REPORTING LIVE

ON HOW YOU CAN SHARE YOUR

THOUGHTS IN LESS THAN ONE

HOUR Reporter: VOTERS APPROVE

THE FUNDING SOURCE FOR THIS

BACK IN THE FALL. BUT THEY WANT

TO KNOW IF THIS IS SOMETHING

YOU LIKE.

WHILE MANY CITIES WORK ON THEIR

VISION TAX PLANS, TULSA COUNTY

WANTS YOUR OPINION.

WE WANT A LOT OF PUBLIC

INPUT IF WE CAN. THE PUBLIC

WILL BE THE USERS AND THEY CAN

HELP US. Reporter: THE

O'BRIEN PARK RECREATION CENTER

IS NOT SEEN ANY IMPROVEMENT

SINCE THE 1970S THAT WILL

CHANGE THIS YEAR.

THE LAST TIME THE EXTERIOR

WAS RENOVATED WAS IN THE 70s

AND THE BUILDING HAS BEEN

STANDING SINCE 1964.

Reporter: THESE ARE THE

DESIGNS FOR THE NEW RECREATION

CENTER AND THIS POOL IS

REPLACED WITH A SPLASH PAD.

TULSA COUNTY WANTS TO MAKE SURE

THAT PEOPLE WILL USE THESE

THINGS.

I AM HOPING THAT PEOPLE WILL

BE EXCITED ABOUT THIS LIKE WE

ARE . IT IS A REAL POSITIVE

MOVE FOR THE PARK AND THE

CENTER.

Reporter: BEFORE THEY TEAR

INTO THE REC CENTER, THE

MEETING TONIGHT WILL TAKE PLACE

IN THE REC CENTER AT 7:00. IF

YOU WOULD LIKE TO GIVE YOUR

For more infomation >> VIDEO: County seeks input in taxpayer-funded project - Duration: 1:48.

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VIDEO: Grant helps Tulsa County cut down on DUI - Duration: 1:20.

THE SUSPECT OFFERED HIM $100 TO

HIDE OUT.

WE ARE PUTTING TOGETHER THAT

INTERVIEW FOR YOU FOR FOX NEWS

AT 6:00.

SHARON PHILLIPS EXPLAINS

HOW MANY PEOPLE THE POLICE HAVE

ARRESTED AFTER GETTING A

GRANT. THEY HAVE MADE 474 DUI

ARREST SINCE JULY. THE GOAL IS

TO STOP DUI INJURIES, ACCIDENTS

AND DEATHS. THE SHERIFF'S OFFICE

SAYS IT IS WORKING.

THEY HAVE CALLS FOR DOMESTICS

AND BURGLARY CALLS AS WELL THAT

THIS GRANT ALLOWS 20 OFFICERS

TO GO OUT WHO VOLUNTEER THEIR

TIME LOOKING FOR INTOXICATED

DRIVERS.

YOU CAN START AS EARLY AS

2:00 IN THE AFTERNOON AND START

PICKING UP DUIS NOW . IT IS SAD

BUT IT IS TRUE. Reporter:

THERE ARE STRICT GUIDELINES

THAT EACH AGENCY HAS TO FOLLOW.

For more infomation >> VIDEO: Grant helps Tulsa County cut down on DUI - Duration: 1:20.

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VIDEO: People of different faiths gather in Green Country to offer support amid immigration ban - Duration: 2:28.

WE ARE STAYING ON TOP OF A

DEVELOPING STORY.

THE EXECUTIVE ORDER ON

IMMIGRATION.

TODAY PEOPLE GATHERED IN GREEN

COUNTRY TO SHOW THEIR SUPPORT.

LET'S GO TO RICK MARANON FOR

MORE . Reporter: THERE WERE

SOME MUSLIM LEADERS THAT SAID

LOCAL CAMPUS WILL BE IMPACTED.

SOME PASTORS SAY THIS ACTION

KEPT JOSEPH AND MARY OUT OF THE

INN BEFORE THE BIRTH OF JESUS.

EMPATHY, THE DICTIONARY DEFINES

IT AS A PERSON THAT ASSOCIATES

WITH THE FEELINGS OF ANOTHER.

THIS AFTERNOON MANY PEOPLE MET

AT THE ISLAMIC SOCIETY THAT ARE

READY TO FIGHT FOR LOCAL

MUSLIMS.

ALTHOUGH THE TRUMP

ADMINISTRATION INSISTS IT'S

RECENT EXECUTIVE ORDER IS NOT A

MUSLIM MAN, THERE ARE SOME IN

TULSA THAT SAYS THIS IS NOT

JUST A PROBLEM FOR THE CITIES.

THIS TEMPORARY AND OF

MUSLIMS ALONE APPEARS TO BE A

RELIGIOUS TEST.

Reporter: NOW PLANS WITH

FAMILIES OVERSEAS ARE BEING

CANCEL.

LEADERS FROM OTHER FAITH SAY

THIS ORDER IS RUBBING THEM THE

WRONG WAY AS WELL.

MANY REFUGEES FROM TERRORISM

WENT TO EGYPT AND SOMEBODY TOOK

THEM IN.

Reporter: MANY SAY THEY FEEL

THE EMPATHY.

YOU ARE PART OF THIS

COMMUNITY.

WE CARE ABOUT YOU.

WHEN YOU HURT, WE ALL HURT.

Reporter: AN ENTIRE GROUP

SAYS PROTESTS ON THE STREET ARE

GREAT FOR RALLYING LOCAL

SUPPORT.

HOWEVER IF YOU WANT TO MAKE A

DIFFERENCE, CONTACT YOUR MEMBER

OF CONFERENCE -- CONGRESS

For more infomation >> VIDEO: People of different faiths gather in Green Country to offer support amid immigration ban - Duration: 2:28.

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Fractals Video - Duration: 18:44.

The following presentation describes what Fractals are, the history of Fractals, and

how fractals relate to global warming, medicine, nature, and art. A fractal is a curve or geometric

figure, each part of which has the same statistical character as the whole. Fractals are useful

when looking at patterns that recur in progressively smaller scales and in describing partly random

or chaotic phenomena. A simple fractal often observed when trying to understand this concept

would be the Koch snowflake. The Koch snowflake is so named for its Mathematician maker, Helge

von Koch, who was born January 25, 1870 in Stockholm Sweden. Illustrations of the iterative,

progressions of the snowflake are demonstrated here.This is a demonstration of how to create

the Koch Snowflake. This fractal starts as an equilateral/equiangular triangle. An equilateral/equiangular

triangle is a three sided figure in which all sides are of equal length and all angles

have a measure of sixty degrees. From this point the progression begins. Remove the inner

third of each side of the triangle and build another equilateral triangle where the middle

thirds were removed. This makes the second progression. The third progression continues

in a similar fashion. Replace the inner third of each side with another equilateral triangle.

This process can be repeated an infinite number of times. A key feature that applies to all

fractals, seen in the snowflake example, is self-similarity. In other words, if you zoom

in on a very small portion of the fractal, it looks very similar to every other part

of the fractal. A tree can be described in this way. When zooming into a part of a tree,

such as a branch with twigs, it would look very similar to the trunk and its branches.

The illustrations demonstrate the self-similarity a tree might have. Each progression from left

to right zooms more closely than the previous image, yet each image still looks very similar

to the last. This self-similarity can be seen in many aspects of nature from rivers, to

mountains, to seashells and to clouds. Another fractal that is well known is the Cantor Set

or Dust. The creator, Georg Cantor, was born March 3, 1845 in St. Petersburg, Russia. He

became fascinated with the fact that there are an infinite number of points on any particular

line segment. The Cantor Set attempts to demonstrate what happens when an infinite number of line

segments are removed from an initial line interval. The Cantor Set starts with the interval

[0,1], which means, the points 0 and 1 are included in the interval, as well as every

point between. Then, from this line segment, remove the middle third or the interval [1/3,

2/3]. This dust is now called a triadic set. Then, with the two new lines present, remove

the middle third from each. The Sierpinski Gasket, was created by the famous Mathematician,

Waclaw Sierpinski, who was born March 14, 1882 in Warsaw Poland. We will explore 3 ways

of creating the Sierpinski Gasket. One way to make this fractal, is by starting with

a flat plane consisting of points P1, P2, and P3. Then, pick a point anywhere on the

plane. Now randomly choose any of the original 3 points and draw an infinitely small point

in the middle of the distance between the chosen point and the original point. Continue

this process using the new infinitely small point and another randomly chosen original

point. All the points in this generation lay within

the triangular boundary that points P1, P2, and P3 make. However, the strange part is

that there are large sections within the triangle that never contain any points. The distribution

of points form a 2D Sierpinski Gasket as shown, each image from left to right containing more

and more points. Another way to generate a 2D version of the Sierpinski Gasket is by

starting with a triangle and cutting a new triangle out of the middle, resulting in the

creation of 3 solid triangles and one cut out triangle. The triangle that is cut-out

was formed by selecting the midpoints on each side of the original triangles. Then, those

midpoints were used as the vertices of the inscribed triangle. Repeat this process with

the 3 solid remaining triangles. The third method of creating the Sierpinski Gasket encompasses

the use of Pascal's triangle. To create the Sierpinski Gasket using Pascal's Triangle,

every odd number in the progression of the illustration shown, must be included in the

gasket, while every even number will not be included.

A fractal that is closely related to the Sierpinski Gasket is called the Sierpinski Carpet.

The Sierpinski Carpet is a very important fractal when dealing with antennae. This fractal

is used in technology such as cell phones, tablets, high-tech watches and computers.

It is used to organize the antennae as well as allowing for additional signals to be received.

It is important to realize that in addition to using fractals to create more efficient

antennae, fractals were being founded in other places in the 1980's. For instance, at IBM

disruptive frequencies were preventing the transmission of computer data over telephone

lines. The frequencies were simulated and mathematicians noticed that within these frequencies

there were smaller frequencies of similar form, and of course self-similarity meant

that fractals must be present. Global warming is an increase in the earth's average atmospheric

temperature that causes corresponding changes in climate, which may result from the greenhouse

effect. The greenhouse effect is an atmospheric heating phenomenon, caused by short-wave solar

radiation being readily transmitted inward through the earth's atmosphere but longer-wavelength

heat radiation less readily transmitted outward, owing to its absorption by atmospheric carbon

dioxide, water vapor, methane, and other gases. Basically, rising levels of carbon dioxide

are causing concern. This is where trees play an important role. Trees, as well as other

plants, absorb carbon dioxide for the process of photosynthesis. In other words, the more

trees there are the less carbon dioxide in the air and the less global warming will occur.

Using fractal dimensions to describe trees and further entire forest ecosystems, may

assist us in understanding the amount of carbon dioxide being absorbed throughout the world

and the number of plants that need to be grown in order to put a stop in global warming,

or at the very least, to slow down the global warming process. The fractal dimensions help

because instead of measuring every tree and branch and twig in a forest, a survey of one

tree's measurements can be used to calculate the carbon dioxide of the entire forest. To

put it simply, one tree would be measured for the amount of carbon dioxide it would

take in. From this tree, there is a distribution of different sized branches. This distribution

should match the distribution of sizes of trees in the entire forest, meaning the forest

is one enormous fractal itself.Benoit Mandelbrot was Polish-born on November 20, 1924 and was

a French Mathematician. Since he was the catalyst for the discovery of fractals, he is best

known as the Father of Fractal Geometry. He is credited with coining the name fractals

to describe objects and surfaces, which are irregular at various dimensions of scale.

It wasn't until 1975 that Mandelbrot's fractal geometry replaced Euclidian geometry, which

had dominated our mathematical thinking for thousands of years. We now know that Euclidian

geometry pertained only to the artificial realities of the first, second and third dimensions.

These dimensions are imaginary. Only the fourth dimension, which is the dimension of the space-time

continuum we live in, is real. Mandelbrot asked an excellent question: how can one determine

the length of a coastline without following the entire shore with measuring equipment?

This question, as well as other mathematical problems, began Mandelbrot's search. His

search ultimately lead to his studies on fractal dimensions, where he introduced a way of measuring

the degree of roughness or irregularity of an object. Although Mandelbrot should be credited

with the majority of the study on fractals, it was Gaston Julia's modern dynamical systems

theory that saved Mandelbrot from hours upon hours of advanced calculations. As a result,

Mandelbrot relied on computers to plot images and calculate the seemingly endless iterations.

Without this technology, it is unlikely Mandelbrot would have been able to discover as much as

he did. One unique and very famous observation made

by Mandelbrot is known as the Mandelbrot Set. This famous quadratic recurrence equation,

z = z^2 + c , is another example of a design with complex irregularities, that is self-similar

in itself, with a base shape that is similar to the image on the left below. The resulting

self-similar iteration can be as complex as the image on the right below.

Shown here are others who greatly helped with the exploration of Fractals and their contributions.

Fractals can also be found in the medical field. Application of fractal geometry to

cell biology stemmed from the discovery that cellular membrane systems had fractal properties.

Areas such as stem cell research, radiation treatment, and other uncertain cures may all

be ruled out if fractals take a bigger role in the field of medicine. The respiratory,

circulatory, and nervous systems are great examples of branches subdividing over and

over in a fractal form. Below is a cast of lungs that clearly show the symmetry or self-similarity

that every ultra-organized fractal has. It was shown that normal vasculature has a fractal

dimension of 1.7 while tumours have a fractal dimension of 1.89. Meaning, tumours are a

more chaotic vasculature, making them stand out from surrounding vasculature.Charles Darwin

was a Biologist and Scientist born February 12, 1809 in Shrewsbury, England. He is best

known for his work as a naturalist, developing the theory of evolution and the process of

natural selection. However, the question of "design" in nature troubled Darwin all

his professional life. Darwin once wrote, "I am conscious that I am in an utterly

hopeless muddle. I cannot think that the world, as we see it, is the result of chance; and

yet I cannot look at each separate thing as the result of design." Many other scientists

explained the "design" of nature as just occurring because of the creator of this world

- or God. It was said that the perfection of nature was due to arbitrariness and accident.

Darwin, however, seems to have been correct in his assumption that the world cannot be

created by accident. As mentioned before, self-similarity can be seen in many aspects

of nature, from rivers to mountains to clouds to seashells. All these aspects of nature

seem to be in chaotic forms but fractal dimensions can often describe their immense irregularities.

Fractals created a reason for design in nature, thus solving the problem Darwin had with natures

perfection. As in a shoreline, lightning's fractal dimension

is spectacularly arbitrary and irregular. Observing the main stem of electricity emanating

from the lightning, it appears to be similar to a tree trunk. Lightning can be compared

very closely to the irregularity of a tree but at a greater fractal dimension. Peacocks

are great examples of fractals in the animal kingdom. Of course, the fractals are in the

tail of these creatures. Also shown is a very famous fractal of a seashell. The perfect

pattern of the seashell is called the Fibonacci Spiral. Delicate Queen Anne's Lace also

demonstrates a fractal. This plant is really just wild carrot. It is a good example of

a floral fractal, as each blossom produces smaller iterative blooms. The image shown

was shot from underneath the plant so the iterations can be easily observed. Lastly,

there is a special type of broccoli. It is cousin to the cabbage and is a particularly

symmetrical fractal. This broccoli is called Romanescu. Of course, in addition to these

examples, there are innumerable fractals found in nature. If one were to think of the human

body, aren't arms and legs fractals also? The individual phalange of the finger separated

by joints could be considered iterations of the larger phalange before it and the largest

phalange could be seen as the iteration of the arm. This can also be observed with legs

and the toe phalanges. Paul Cezanne, a painter born January 19, 1839 in Aix-en-Provence,

France, once wrote, "Everything in nature is modeled according to the sphere, the cone,

and the cylinder. You have to learn to paint with reference to these simple shapes…"

However, when Benoit spoke of Fractals, he took a different approach by saying, "Clouds

are not spheres, mountains are not cones, coastlines are not circles, and bark is not

smooth, nor does lightning travel in a straight line." Since, the arts are often mirrored

after nature, it would not be surprising to see fractals in the art itself. Even if we

are unconscious of this fact, they are there. Also related to Fractals is computer generated

art, specifically artwork created using fractals themselves, have been made by uninformed programmers,

who use Mandelbrot's Set (z = z^2 + c) with a z value other than 0. These artworks turned

out to be hideous and are referred to as Mandelbrot Roadkill.

An artist named Jackson Pollock, born January 28, 1912 in Cody, Wyoming, unconsciously adopted

the language of nature, or fractals, to create his own artwork in a very self-similar form.

Pollock began with a canvas lying in a horizontal position, and used a continuous stream of

paint and gravity to achieve his painting. When compared to paintings such as Pollock's,

where drip trajectories were studied, the results were strikingly similar. The painting

on the left demonstrates a pendulum freely swinging. The paint lines are in a non-chaotic

form. However, the middle painting was achieved when the pendulum was knocked at a frequency

slightly lower than the one at which it naturally swings. When examining a smaller portion of

these paintings, it can be seen, that a small section has similar statistical data compared

to the entire canvas. If a person gleaned only one piece of knowledge from this paper,

it should be the fact that fractals are everywhere. Fractals make up the food we eat, the flowers

we keep in our homes, the various parts of our bodies, the artwork we observe, the décor

we use at home, the weather just outside our doors, and even the animals we keep. When

so many things in this world seem so random and chaotic, fractals make sense of the arbitrariness.

This topic is extremely new and very under-explored. More attention needs to be paid to the world

of fractals, more importance needs to be placed on learning about fractals, and more studies

need to be completed about fractals. This topic of discussion is not just some cool

mathematical element, but instead, blends mathematics with every sphere of knowledge.

From nature, to art, to medicine and beyond, fractals are showing themselves and giving

the world a new avenue to explore and from which to gain great insight. Exploring fractal

dimensions could aid in finding cures for cancer, find sanity in seemingly random paintings,

and give lucidity to beautiful aspects of nature. Clearly, this is the perfect topic

to delve into for the betterment of human understanding.

For more infomation >> Fractals Video - Duration: 18:44.

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VIDEO: Former mentor faces 215 years in prison for 11 counts of child sex abuse - Duration: 1:58.

TAX PLACE FOR INVESTMENT.

OF FORMER TULSO YOUTH

MENTOR WAS SENTENCED TODAY TO

215 YEARS IN PRISON.

52-YEAR-OLD TIMOTHY CATO HAS

BEEN FIND -- FOUND GUILTY OF

CHILD SEXUAL ABUSE.

Reporter: 215 YEARS IN

PRISON.

THE ASSISTANT DISTRICT ATTORNEY

SAYS SHE IS GLAD THE JUDGE

FOLLOWED THE JURY'S SENTENCING

RECOMMENDATION FOR THE SAKE OF

THE CHILDREN.

IT IS JUSTIFICATION FOR ALL

OF THE CHILDREN WHO CAME

FORWARD TO SPEAK FOR EVERYBODY

ELSE.

I AM DISAPPOINTED IN THE

DECISION TODAY REGARDING GIVING

CONSECUTIVE TIME INSTEAD OF

CONCURRENT TIME.

Reporter: WE TOLD YOU BACK

IN NOVEMBER THAT TIMOTHY CATO

WAS CHARGED WITH 11 COUNTS OF

CHILD SEX-ABUSE.

HE THEY SAY HE USED HIS JOB TO

PRAY ON YOUNG BOYS AND SHELTERS

THAT DID NOT HAVE A FIGURE.

HE WAS IN EVERY POSSIBLE

POSITION YOU COULD PUT YOURSELF

IN.

POLICE STARTED

INVESTIGATING BACK IN 2014 BUT

PROSECUTORS SAY THE CRIMES DATE

BACK TO 2007.

ONE BOY WAS AS YOUNG AS NINE

YEARS OLD.

THEY SAY THAT TIMOTHY CATO

MANIPULATED THEM. HE WOULD

TOUCH THEM INAPPROPRIATELY IN

THEIR SLEEP.

CHILDREN ARE TAKEN OUT OF

HOMES WHERE THERE IS VIOLENCE

OR DRUG ABUSE, AND HE TOOK HIM

INTO HIS HOME AND ABUSE THEM.

For more infomation >> VIDEO: Former mentor faces 215 years in prison for 11 counts of child sex abuse - Duration: 1:58.

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For more infomation >> Most funny videos - Duration: 2:03.

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VIDEO: Sand Springs police search for man accused of offering girl candy at bus stop - Duration: 1:28.

THE CAPITAL TONIGHT.

WE WILL HAVE HIS PRESIDENTIAL

ADDRESS STARTING AT 7:00 P.M.

TONIGHT.

A CHILD HAS BEEN APPROACHED

BY A STRANGER FOR THE SECOND

TIME IN ONE WEEK.

THIS CASE INVOLVES A MAN

OFFERING CANDY.

LET'S GO TO CAILEY DOUGHERTY

WHO IS LIVE FOR US.

Reporter: THIS LAST INCIDENT

HAPPENED AT A SCHOOL AND THIS

ONE HAPPENED OUTSIDE THESE

APARTMENTS. HERE IS A LOOK AT

THE SUV POLICE ARE LOOKING FOR.

A 13-YEAR-OLD GIRL WAS WAITING

FOR THE BUS WITH THREE OTHER

STUDENTS WHEN A RED FORD

EXPEDITION STOPPED IN THE

MIDDLE OF THE ROAD AND A 40-

YEAR-OLD MAN WITH OF BEARD

OFFERED CANDY TO THE GIRL.

SHE REFUSED TO GO OVER TO HIM.

ANY TIME A STRANGER APPROACHES

A CHILD LIKE THIS, MANY FEARED

THE WORST.

I CAN'T IMAGINE IT. I CAN'T

IMAGINE ANYONE LOSING THEIR

KIDDO.

Reporter: POLICE SAY THE DO

NOT BELIEVE THAT THESE TWO

INCIDENTS ARE CONNECTED BUT

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