What patterns can we find in nature? Plants, flowers and fruits have all kinds of patterns, from petal numbers that are in the Fibonacci sequence, to symmetry, fractals and tessellation.
Mathematics in the Modern World - GE3 - Set TheoryFlipped Channel
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What patterns can we find in nature? Plants, flowers and fruits have all kinds of patterns, from petal numbers that are in the Fibonacci sequence, to symmetry, fractals and tessellation.
Mathematics in the Modern World - GE3 - Set TheoryFlipped Channel
If you happen to like this powerpoint, you may contact me at flippedchannel@gmail.com
I offer some educational services like:
-powerpoint presentation maker
-grammarian
-content creator
-layout designer
Subscribe to our online platforms:
FlippED Channel (Youtube)
http://bit.ly/FlippEDChannel
LET in the NET (facebook)
http://bit.ly/LETndNET
This powerpoint includes:
Triangles and Quadrangles
Definition, Types, Properties, Secondary part, Congruency and Area
Definitions of Triangles and Quadrangles
Desarguesian Plane
Mathematician Desargues and His Background
Harmonic Sequence of Points/Lines
Illustrations and Animated Lines.
Philosophy module 1 - The Meaning and Method of Doing PhilosophyRey An Castro
Philosophy Module 1: The Meaning and Method of Doing Philosophy of Rey An C. Castro, LPT., was created as a tool for teaching Philosophy in senior high school students.
The author aims to help educators and students in teaching and learning Philosophy.
Physiological Indicators Associated with Moderate and Vigorous activities .pptxKhristineFederico
Health Optimizing Physical Education Grade 12, 2nd semester Physiological Indicators Associated with Moderate and Vigorous activities
Is any form of exercise or movement of the body that uses energy. Some of your daily life activities—doing active chores around the house, yard work, walking the dog—are examples
If the physical activity you do is too easy for your body, changes would be minimal. Hence, your body should be challenged. You need to sustain moderate to vigorous intensity of physical activity for your body to be challenged
Physiological indicators are those signs that are physiologic in nature or have to do with bodily processes. These include heart rate, rate of perceived exertion (RPE), and pacing. Each of these physiological indicators is important. However, depending on your fitness goal and personal preference, each indicator has its own advantages.
a. Heart Rate. Also known as pulse rate, this is the number of times a person’s heart beats per
minute. It indicates the effort your heart is doing based on the demands you place on your body.
The more demanding your physical activity is, the faster the heart rate.
220 is the standard MHR 1.Get the Maximum Heart Rate
MHR = 220 – (AGE) =
*To compute your MHR you need to subtract your age from standard MHR.
This is an assessment of the intensity of exercise based on how you feel. It is basically a subjective assessment of effort which ranges from 6 (very, very light) to 20 (very, very hard) with 1-point increments in between.
These refer to the rate or speed of doing physical activities. This means that a person can take it slow when engaged in physical activities or do them quickly depending on the FITT Principle.
One of the best PPT on HERONS' FORMULA You will get here.Contains all most all information about Heron, its formula.Formulas of some other shapes also.Area of triangles and its derivation.
Archimedes Research Paper
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This powerpoint includes:
Triangles and Quadrangles
Definition, Types, Properties, Secondary part, Congruency and Area
Definitions of Triangles and Quadrangles
Desarguesian Plane
Mathematician Desargues and His Background
Harmonic Sequence of Points/Lines
Illustrations and Animated Lines.
Philosophy module 1 - The Meaning and Method of Doing PhilosophyRey An Castro
Philosophy Module 1: The Meaning and Method of Doing Philosophy of Rey An C. Castro, LPT., was created as a tool for teaching Philosophy in senior high school students.
The author aims to help educators and students in teaching and learning Philosophy.
Physiological Indicators Associated with Moderate and Vigorous activities .pptxKhristineFederico
Health Optimizing Physical Education Grade 12, 2nd semester Physiological Indicators Associated with Moderate and Vigorous activities
Is any form of exercise or movement of the body that uses energy. Some of your daily life activities—doing active chores around the house, yard work, walking the dog—are examples
If the physical activity you do is too easy for your body, changes would be minimal. Hence, your body should be challenged. You need to sustain moderate to vigorous intensity of physical activity for your body to be challenged
Physiological indicators are those signs that are physiologic in nature or have to do with bodily processes. These include heart rate, rate of perceived exertion (RPE), and pacing. Each of these physiological indicators is important. However, depending on your fitness goal and personal preference, each indicator has its own advantages.
a. Heart Rate. Also known as pulse rate, this is the number of times a person’s heart beats per
minute. It indicates the effort your heart is doing based on the demands you place on your body.
The more demanding your physical activity is, the faster the heart rate.
220 is the standard MHR 1.Get the Maximum Heart Rate
MHR = 220 – (AGE) =
*To compute your MHR you need to subtract your age from standard MHR.
This is an assessment of the intensity of exercise based on how you feel. It is basically a subjective assessment of effort which ranges from 6 (very, very light) to 20 (very, very hard) with 1-point increments in between.
These refer to the rate or speed of doing physical activities. This means that a person can take it slow when engaged in physical activities or do them quickly depending on the FITT Principle.
One of the best PPT on HERONS' FORMULA You will get here.Contains all most all information about Heron, its formula.Formulas of some other shapes also.Area of triangles and its derivation.
Archimedes Research Paper
Archimedes Research Paper
Why Was Archimedes Important
The Life Of Archimedes Essay
Archimedes Principle
Archimedes Life And Accomplishments
Essay on Archimedes
The Experiment : Archimedes Principle Essay
Archimedes Accomplishments
Archimedes Research Paper
Archimedes Research Papers
Archimedes Essay
How Did Archimedes Influence His Work
Archimedes Research Paper
Essay on Archimedes
Essay about The Life and Work of Archimedes
Archimedes of Syracuse Essay
Archimedes Essay examples
Essay On Archimedes
A Few Good MenA handful of brave men armed with the weapons of m.docxransayo
A Few Good Men
A handful of brave men armed with the weapons of mathematics and courage toppled, in a span of a mere one hundred years, the entire geocentric model of the universe. The Polish astronomer Copernicus1 (1473-1543) challenged the geocentric model of Ptolemy (the one with the epicycles) on the grounds that placing the sun at the center of the solar system and assuming that Earth revolves about the sun (and rotates around its axis) reduces the number of equations describing the motion of the planets from about eighty down to thirty.
His book De revolutionibus orbium coelestium appeared in 1543 after his death. The Vatican ignored the book as it only suggested that the mathematical model putting the sun at the center makes more sense. He didn’t assert that this is the way things are.
At the time of publication of this first round in the cosmic battle, the major hero, Galileo, was not yet born. We shall get to him soon.
A Danish astronomer, Tycho Brahe2 (1546-1601), patiently collected a mountain of astronomical data over a ten-year period. Upon his death, his assistant Johan Kepler3 (1571-1630), whom he had taught to observe and then hypothesize, interpreted the data and formulated his three laws of planetary motion.
1Nicole Oresme also opposed the theory of a stationary Earth as proposed by Aristotle and advocated the motion of Earth some 200 years before Copernicus. He eventually rejected his own ideas.
2He was appointed Imperial Mathematician to the Holy Roman Emperor, Rudolph II, and Kepler was hired as his assistant to help with the calculations. He also wore a golden nose to replace his own which he lost in a duel.
3Kepler’s mathematical work on the volume of a wine barrel is considered to be at the forefront of integral calculus and the calculation of volumes of solids of revolution.
· 1. The planets revolve about the sun in elliptical orbits, with the sun at one focal point of the ellipse. (An ellipse has two focal points, or foci.)
· 2. An imaginary line from the sun to a planet sweeps out equal areas in equal time intervals.
· 3. No matter which planet we study, the ratio of the square of the average distance from the sun to the cube of the length of time of one complete revolution is the same.
Aha! The motion of the planets is entirely predicable using mathematics. Furthermore, the Church and the ancient philosophers were wrong! The orbits are elliptic – not circular – and Earth is just another planet. And the best part is that these laws rest on mathematics and observation – not on authority. Kepler, too, escaped the wrath of the Roman inquisition. He lived outside of Rome’s sphere of influence. Our main hero, as we shall see, was not as lucky.
Galileo4 (1564-1642) was the son of a Florentine merchant. As a boy, he studied music, art, and poetry. He designed mechanical toys. He showed mathematical promise when he was a medical student. He noticed that after the hanging lamps were filled with oil and lit, they swung back.
The first trigonometric table was compiled by Hipparchus, who is now.pdfajitdoll
The first trigonometric table was compiled by Hipparchus, who is now known as \"the father of
trigonometry.\"Sumerian astronomers studied angle measure, using a division of circles into 360
degrees.They and the Babylonians studied the ratios of the sides of similar triangles and
discovered some properties of these ratios, but did not turn that into a systematic method for
finding sides and angles of triangles. The ancient Nubians used a similar method. The ancient
Greeks transformed trigonometry into an ordered science.
Classical Greek mathematicians (such as Euclid and Archimedes) studied the properties of
chords and inscribed angles in circles, and proved theorems that are equivalent to modern
trigonometric formulae, although they presented them geometrically rather than algebraically.
Claudius Ptolemy expanded upon Hipparchus\' Chords in a Circle in his Almagest. The modern
sine function was first defined in the Surya Siddhanta, and its properties were further
documented by the 5th century Indian mathematician and astronomer Aryabhata. These Greek
and Indian works were translated and expanded by medieval Islamic mathematicians. By the
10th century, Islamic mathematicians were using all six trigonometric functions, had tabulated
their values, and were applying them to problems in spherical geometry. Knowledge of
trigonometric functions and methods reached Europe via Latin translations of the works of
Persian and Arabic astronomers such as Al Battani and Nasir al-Din al-Tusi. One of the earliest
works on trigonometry by a European mathematician is De Triangulis by the 15th century
German mathematician Regiomontanus. Trigonometry was still so little known in 16th century
Europe that Nicolaus Copernicus devoted two chapters of De revolutionibus orbium coelestium
to explain its basic concepts.
Driven by the demands of navigation and the growing need for accurate maps of large
geographic areas, trigonometry grew into a major branch of mathematics. Bartholomaeus
Pitiscus was the first to use the word, publishing his Trigonometria in 1595. Gemma Frisius
described for the first time the method of triangulation still used today in surveying. It was
Leonhard Euler who fully incorporated complex numbers into trigonometry. The works of James
Gregory in the 17th century and Colin Maclaurin in the 18th century were influential in the
development of trigonometric series. Also in the 18th century, Brook Taylor defined the general
Taylor series.
Solution
The first trigonometric table was compiled by Hipparchus, who is now known as \"the father of
trigonometry.\"Sumerian astronomers studied angle measure, using a division of circles into 360
degrees.They and the Babylonians studied the ratios of the sides of similar triangles and
discovered some properties of these ratios, but did not turn that into a systematic method for
finding sides and angles of triangles. The ancient Nubians used a similar method. The ancient
Greeks transformed trigonometry into an ord.
DERIVATION OF MODIFIED BERNOULLI EQUATION WITH VISCOUS EFFECTS AND TERMINAL V...Wasswaderrick3
In this book, we use conservation of energy techniques on a fluid element to derive the Modified Bernoulli equation of flow with viscous or friction effects. We derive the general equation of flow/ velocity and then from this we derive the Pouiselle flow equation, the transition flow equation and the turbulent flow equation. In the situations where there are no viscous effects , the equation reduces to the Bernoulli equation. From experimental results, we are able to include other terms in the Bernoulli equation. We also look at cases where pressure gradients exist. We use the Modified Bernoulli equation to derive equations of flow rate for pipes of different cross sectional areas connected together. We also extend our techniques of energy conservation to a sphere falling in a viscous medium under the effect of gravity. We demonstrate Stokes equation of terminal velocity and turbulent flow equation. We look at a way of calculating the time taken for a body to fall in a viscous medium. We also look at the general equation of terminal velocity.
Earliest Galaxies in the JADES Origins Field: Luminosity Function and Cosmic ...Sérgio Sacani
We characterize the earliest galaxy population in the JADES Origins Field (JOF), the deepest
imaging field observed with JWST. We make use of the ancillary Hubble optical images (5 filters
spanning 0.4−0.9µm) and novel JWST images with 14 filters spanning 0.8−5µm, including 7 mediumband filters, and reaching total exposure times of up to 46 hours per filter. We combine all our data
at > 2.3µm to construct an ultradeep image, reaching as deep as ≈ 31.4 AB mag in the stack and
30.3-31.0 AB mag (5σ, r = 0.1” circular aperture) in individual filters. We measure photometric
redshifts and use robust selection criteria to identify a sample of eight galaxy candidates at redshifts
z = 11.5 − 15. These objects show compact half-light radii of R1/2 ∼ 50 − 200pc, stellar masses of
M⋆ ∼ 107−108M⊙, and star-formation rates of SFR ∼ 0.1−1 M⊙ yr−1
. Our search finds no candidates
at 15 < z < 20, placing upper limits at these redshifts. We develop a forward modeling approach to
infer the properties of the evolving luminosity function without binning in redshift or luminosity that
marginalizes over the photometric redshift uncertainty of our candidate galaxies and incorporates the
impact of non-detections. We find a z = 12 luminosity function in good agreement with prior results,
and that the luminosity function normalization and UV luminosity density decline by a factor of ∼ 2.5
from z = 12 to z = 14. We discuss the possible implications of our results in the context of theoretical
models for evolution of the dark matter halo mass function.
What is greenhouse gasses and how many gasses are there to affect the Earth.moosaasad1975
What are greenhouse gasses how they affect the earth and its environment what is the future of the environment and earth how the weather and the climate effects.
Professional air quality monitoring systems provide immediate, on-site data for analysis, compliance, and decision-making.
Monitor common gases, weather parameters, particulates.
THE IMPORTANCE OF MARTIAN ATMOSPHERE SAMPLE RETURN.Sérgio Sacani
The return of a sample of near-surface atmosphere from Mars would facilitate answers to several first-order science questions surrounding the formation and evolution of the planet. One of the important aspects of terrestrial planet formation in general is the role that primary atmospheres played in influencing the chemistry and structure of the planets and their antecedents. Studies of the martian atmosphere can be used to investigate the role of a primary atmosphere in its history. Atmosphere samples would also inform our understanding of the near-surface chemistry of the planet, and ultimately the prospects for life. High-precision isotopic analyses of constituent gases are needed to address these questions, requiring that the analyses are made on returned samples rather than in situ.
Toxic effects of heavy metals : Lead and Arsenicsanjana502982
Heavy metals are naturally occuring metallic chemical elements that have relatively high density, and are toxic at even low concentrations. All toxic metals are termed as heavy metals irrespective of their atomic mass and density, eg. arsenic, lead, mercury, cadmium, thallium, chromium, etc.
Comparing Evolved Extractive Text Summary Scores of Bidirectional Encoder Rep...University of Maribor
Slides from:
11th International Conference on Electrical, Electronics and Computer Engineering (IcETRAN), Niš, 3-6 June 2024
Track: Artificial Intelligence
https://www.etran.rs/2024/en/home-english/
Salas, V. (2024) "John of St. Thomas (Poinsot) on the Science of Sacred Theol...Studia Poinsotiana
I Introduction
II Subalternation and Theology
III Theology and Dogmatic Declarations
IV The Mixed Principles of Theology
V Virtual Revelation: The Unity of Theology
VI Theology as a Natural Science
VII Theology’s Certitude
VIII Conclusion
Notes
Bibliography
All the contents are fully attributable to the author, Doctor Victor Salas. Should you wish to get this text republished, get in touch with the author or the editorial committee of the Studia Poinsotiana. Insofar as possible, we will be happy to broker your contact.
(May 29th, 2024) Advancements in Intravital Microscopy- Insights for Preclini...Scintica Instrumentation
Intravital microscopy (IVM) is a powerful tool utilized to study cellular behavior over time and space in vivo. Much of our understanding of cell biology has been accomplished using various in vitro and ex vivo methods; however, these studies do not necessarily reflect the natural dynamics of biological processes. Unlike traditional cell culture or fixed tissue imaging, IVM allows for the ultra-fast high-resolution imaging of cellular processes over time and space and were studied in its natural environment. Real-time visualization of biological processes in the context of an intact organism helps maintain physiological relevance and provide insights into the progression of disease, response to treatments or developmental processes.
In this webinar we give an overview of advanced applications of the IVM system in preclinical research. IVIM technology is a provider of all-in-one intravital microscopy systems and solutions optimized for in vivo imaging of live animal models at sub-micron resolution. The system’s unique features and user-friendly software enables researchers to probe fast dynamic biological processes such as immune cell tracking, cell-cell interaction as well as vascularization and tumor metastasis with exceptional detail. This webinar will also give an overview of IVM being utilized in drug development, offering a view into the intricate interaction between drugs/nanoparticles and tissues in vivo and allows for the evaluation of therapeutic intervention in a variety of tissues and organs. This interdisciplinary collaboration continues to drive the advancements of novel therapeutic strategies.
(May 29th, 2024) Advancements in Intravital Microscopy- Insights for Preclini...
Ancient mathematics
1.
2. One of the many great
mathematical discoveries of
Archimedes was the
relationship between the
surface area of a cylinder
and a sphere. Archimedes
discovered that a sphere
that has the same diameter
as the height and width of
the cylinder is 2/3 of the
surface area of the cylinder
3. Archimedes’ first war
invention was a claw that was
said to be able to lift ships out
of the water and then smash
them. From Pappus we have
learned that in connection with
his discovery of the solution to
the problem of moving a given
weight by a given force, that
Archimedes upon applying the
law of the lever is to have said,
“Give me a place to stand on,
and I can move the earth.”
4.
5. Archimedes taking his bath on day, he
noticed that that the level of the water in
the tub rose as he got in, and he had the
sudden inspiration that he could use this
effect to determine the volume (and
therefore the density) of the crown. In
his excitement, he apparently rushed out
of the bath and ran naked through the
streets shouting, "Eureka! Eureka!" (“I
found it! I found it!”). This gave rise to
what has become known as Archimedes’
Principle: an object is immersed in a
fluid is buoyed up by a force equal to the
weight of the fluid displaced by the
object.
6. The circumference of a circle is the actual
length around the circle which is equal to
360°. Pi (p) is the number needed to
compute the circumference of the circle.
p is equal to 3.14.
Pi is greek and has been around for over
2000 years!
In circles the AREA is equal to 3.14 (p) times
the radius (r) to the power of 2.
Thus the formula looks like:
A= pr2.
In circles the circumference is 3.14 (p) times
the Diameter.
Thus the formula looks like:
2pr or pd.
Lines in Circles.
AB = Diameter,
OC = Radius,
ED = Chord,
FG = Tangent,
EHD = Arc,
ADB = Semicircle,
OCB = Sector,
COB = Central Angle.
7. Plate portraying soldiers
using a compass to measure
the barrel of a cannon. Jim
Bennet, Stephen Johnston
(edited by), The Geometry of
War (1500-1750), Oxford,
1996, p. 15.
Using instruments was
indispensable in the military
field, where the technology
of firearms called for
increasingly more precise
mathematical knowledge.al
8. This 19th century model is based on a
drawing made by Galileo's (1564-1642)
friend and biographer Viviani (1622-
1703) of a pendulum clock, which
Galileo designed just before his death
and which was partly constructed by
his son Vincenzio in 1649. It represents
the first known attempt to apply a
pendulum to control the rate of a
clock. He recognised the potential of
using a pendulum to control a clock but
died before his work could be
completed.
9. Box for mathematical
instruments (17th ca.),
Florence, Istituto e Museo di
Storia della Scienza .
This box contains a set of
mathematical instruments
dating from the 17th century,
coming from the Medicean
collections. The interior,
divided into nineteen
compartments, now holds
thirteen pieces, all made of
brass: various instruments for
drawing, a pair of knives and
a proportional compass.
10. Mordente’s compass (1591),
Florence, Istituto e Museo di
Storia della Scienza.
Invented by Fabrizio
Mordente (1532 – c. 1608)
to measure the smallest
fraction of a degree, this
particular proportional
compass with eight points is
distinguished by the
presence of sliding cursors.
Based on their positions, it
was possible to establish the
proportions between lines,
geometric figures and solid
bodies.
11. Geometric and military
compass of Galileo Galilei
(c. 1606), Florence,
Istituto e Museo di Storia
della Scienza
The Istituto e Museo di
Storia della Scienza of
Florence possesses one of
the very rare surviving
examples of Galileo’s
compass, probably the
one donated by the Pisan
scientist to Cosimo II along
with a printed copy of the
Operazioni del compasso
geometrico et militare.
12. 3-Dimensional figures
Leonardo da Vinci kept also busy with complex
3-dimesional geometric figures. Leonardo drew these
in all their variants. In his period in Florence he was
already introduced to the perspective geometry . The
abstract perfection from these complex figures must
have charmed and fascinated him.
19. A calculating machine in
the 17th century.
In 1888, William S. Burroughs
patented his first calculator. Like
the Comptometer, it was really an
adder-subtracter, but it could
multiply and divide via repeated
additions and subtractions
20. 1876 Centennial
Expo Geo B Grants
calculating
machine.
In 1851, J. W. Nystroms
calculating machine.
21. The Arithmetical machine (pictured) is one of the
first mechanical calculating devices known to
exist.