Why the points in a line graph can be connected?
Space and AstronomyIn line graphs, the line is created by connecting each individual data point to show local changes, in this way, the local change from point to point can be seen. This is done when it is important to be able to see the local change between pair of points. Why do you connect points on
Why did Euclid write the elements?
Space and Astronomyfoundations of mathematics Euclid’s Elements (c. 300 bce), which presented a set of formal logical arguments based on a few basic terms and axioms, provided a systematic method of rational exploration that guided mathematicians, philosophers, and scientists well into the 19th century. Why is the Elements by Euclid so important? Euclid is often referred to
How do you prove Riemann integrable?
Space and AstronomyAll the properties of the integral that are familiar from calculus can be proved. For example, if a function f:[a,b]→R is Riemann integrable on the interval [a,c] and also on the interval [c,b], then it is integrable on the whole interval [a,b] and one has ∫baf(x)dx=∫caf(x)dx+∫bcf(x)dx. How do you prove a function is not Riemann
Was there a blood moon in 2001?
Space and AstronomyJanuary 9–10, 2001 Total Lunar Eclipse (Blood Moon) When was the last recorded blood moon? The most recent super blood moon was on Jan. 21, 2019, and the next is May 16, 2022. What year did we have a blood moon? When is the next blood moon? The next total lunar eclipse, and therefore the
What is the group v4?
Space and AstronomyIn mathematics, the Klein four-group is a group with four elements, in which each element is self-inverse (composing it with itself produces the identity) and in which composing any two of the three non-identity elements produces the third one. What is the group Z4? The elements Z4 are 0, 1, 2 and 3. Hence the
How did Sputnik get into space?
Space and AstronomyIt was launched into an elliptical low Earth orbit by the Soviet Union on 4 October 1957 as part of the Soviet space program. It orbited for three weeks before its batteries ran out. The satellite then silently continued to orbit the planet for two months before it fell back into the atmosphere on 4
Is the third quarter moon waxing or waning?
Space and AstronomyWaning means it is getting smaller. 🌗 Third Quarter: We see the third quarter moon as a half moon, too. It is the opposite half as illuminated in the first quarter moon. 🌘 Waning Crescent: In the Northern Hemisphere, we see the waning crescent phase as a thin crescent of light on the left. What
How many comets did Charles Messier discover?
Space and Astronomy13 comets13 comets. He compiled a list of nebulous objects in the Northern Hemisphere known as the Messier Catalog. Messier died on April 12, 1817, at the age of 86. In 1757, Messier began searching for a comet whose return was predicted by Edmond Halley. What comets did Messier discover? Messier discovered 13 comets: C/1760
Can a relative maximum be an absolute maximum?
Space and AstronomyHowever, unlike the first example this will occur at two points, x=−2 x = − 2 and x=2 x = 2 . Again, the function doesn’t have any relative maximums. As this example has shown there can only be a single absolute maximum or absolute minimum value, but they can occur at more than one
Are all parallelograms Quadrilaterals?
Space and AstronomyAll parallelograms are quadrilaterals, so if it is a parallelogram, it is also a quadrilateral. The correct answer is that all trapezoids are quadrilaterals. Are all parallelograms are quadrilaterals True or false? Parallelograms are quadrilaterals with two sets of parallel sides. Since squares must be quadrilaterals with two sets of parallel sides, then all squares