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Outer Measure is always greater than or equal to the inner measure. If the set is Lebesgue measurable, then they are equal.

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15y ago

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Why you define lebesgue outer measure?

Roughly speaking, the outer measure contains all the subset of the given set so it measures everything inside. Ps. If the outer measure is equal to inner measure then it is called "Lebesgue measure"


How would you measure a gold ring?

To measure a gold ring, you can use a caliper to determine its inner diameter, which helps ascertain the ring size. Alternatively, you can measure the circumference of the ring by wrapping a flexible measuring tape around the inner edge. For weight, a precision scale can be used to measure the ring in grams. Additionally, you can compare the ring to a standard ring sizing chart for size reference.


How do you compare ratios-?

To compare ratios, compare the products of the outer terms by the inner terms.


How is rainfall measured if it exceeds two inches?

When a heavy rainstorm results in water greater than 2 inches, the water flows over the top of the inner container and into the overflow can, which is 4 inches taller than the inner container. The observer measures and records the amount of rain in the inner container and empties the inner container. Then, the observer carefully pours the water from the overflow can into the inner container, measures it and records it. The observer adds the two recorded totals together to obtain a final amount of rainfall.


Why is there 2 scales on a protractor?

A protractor has two scales to measure angles in both degrees and radians. The outer scale typically measures angles from 0° to 180°, while the inner scale can also represent angles from 0° to 180°, but it allows for easier reading from both sides of the protractor. This dual functionality enables users to measure angles more conveniently, depending on their specific needs.

Related Questions

Why you define lebesgue outer measure?

Roughly speaking, the outer measure contains all the subset of the given set so it measures everything inside. Ps. If the outer measure is equal to inner measure then it is called "Lebesgue measure"


How would you measure a gold ring?

To measure a gold ring, you can use a caliper to determine its inner diameter, which helps ascertain the ring size. Alternatively, you can measure the circumference of the ring by wrapping a flexible measuring tape around the inner edge. For weight, a precision scale can be used to measure the ring in grams. Additionally, you can compare the ring to a standard ring sizing chart for size reference.


How do you compare ratios-?

To compare ratios, compare the products of the outer terms by the inner terms.


How do the sizes of the four inner planets compare?

they are small


Instrument use to measure water density?

a process known as potentiometry. This method measures the voltage that develops between the inner and outer surfaces of an ion selective electrode.


What is the inner diameter of the handlebars that measure 31.8 mm?

The inner diameter of the handlebars that measure 31.8 mm is approximately 28.2 mm.


How can I measure an inner tube accurately?

To measure an inner tube accurately, use a ruler or measuring tape to measure the diameter of the tube when it is fully inflated. Measure from one edge of the tube to the opposite edge, passing through the center. This measurement will give you the accurate size of the inner tube.


Compare and contrast the inner planets including Pluto?

Too badd (:


What is learned from an electrocochleograph?

An electrocochleograph measures electrical activity in the inner ear in response to sound stimuli. It is used to assess hearing function and diagnose disorders such as Meniere's disease, a condition affecting the inner ear characterized by vertigo, hearing loss, and tinnitus.


How can I accurately measure a bike inner tube?

To accurately measure a bike inner tube, use a tape measure to determine the length and width of the tube when it is fully inflated. Measure the diameter of the tube when it is not inflated to ensure you get the correct size.


How can I accurately measure an inner tube for my bicycle?

To accurately measure an inner tube for your bicycle, first remove the old tube and measure its diameter and width. Use a tape measure or ruler to get these dimensions. Then, when purchasing a new inner tube, make sure it matches the measurements of the old tube to ensure a proper fit.


How do the sizes of the inner planets compare to the sizes of the gas giant planets?

inner planets are small and outer planets are big and cold and gas giants.