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prove that d (x1,xn)<=d (x1,x2)+d (x2,x3)+.................+d (xn-1,xn)

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What kind of space is there in one metric ton?

One metric ton is equivalent to 1,000 kilograms. The volume of space occupied by one metric ton of materials will vary depending on the density of the substance. For example, one metric ton of lead will take up less space than one metric ton of feathers due to their different densities.


What is a system of measurement based on ten?

Matter is defined as that which has mass and occupies space. There are procedures to measure both. Even if you can't measure the mass of an object directly (such as a gas), you can still determine it's mass by measuring the space it occupies. Pressure is one way to measure the mass of gas by the amount of space it occupies.


How is the space of atoms in a solid different from a liquid and a gas?

A solid is more compact.


What is the basic metric for liquid?

The basic metric for liquid is volume, which is typically measured in units such as liters (L) or milliliters (mL). This measurement indicates the amount of space that the liquid occupies.


What is the price per pound of a metric ton?

That depends on what substance the dealer has a metric ton of. If it's a metric ton of air, the price is probably quite low, although they would probably not offer to deliver it. It it's a metric ton of water, the price is probably a bit higher, but still quite low, and they might include delivery. If it's a metric ton of gold, I would expect the price to be very high; but it would be rather compact, and whatever quantity you buy would probably fit easily in the back seat of your car.

Related Questions

Is Closed and bounded subset of a complete metric space compact?

No.


When is a metric on a set complete?

A metric on a set is complete if every Cauchy sequence in the corresponding metric space they form converges to a point of the set in question. The metric space itself is called a complete metric space. See related links for more information.


Can give the Examples for compact spaces in topology?

Any closed bounded subset of a metric space is compact.


Prove that Hilbert Space is a Metric Space?

The question doesn't make sense, or alternatively it is true by definition. A Hilbert Space is a complete inner product space - complete in the metric induced by the norm defined by the inner product over the space. In other words an inner product space is a vector space with an inner product defined on it. An inner product then defines a norm on the space, and every norm on a space induces a metric. A Hilbert Space is thus also a complete metric space, simply where the metric is induced by the inner product.


What is metric space?

The assumptions of a metric space except for symmetry.


What is quasi metric space?

The assumptions of a metric space except for symmetry.


Where can I find a compact parking space for my vehicle?

You can find a compact parking space for your vehicle in parking lots, garages, or on the street in designated compact car spaces.


Why is the metric space R - 0 not complete?

The metric space ( \mathbb{R} \setminus {0} ) is not complete because there exist Cauchy sequences in this space that do not converge to a limit within the space. For instance, consider the sequence ( x_n = \frac{1}{n} ), which is a Cauchy sequence in ( \mathbb{R} \setminus {0} ) since it approaches 0 as ( n ) goes to infinity. However, the limit of this sequence, 0, is not included in ( \mathbb{R} \setminus {0} ), demonstrating that the space lacks completeness.


What is the role of the determinant of metric in determining the properties of a given space?

The determinant of the metric in a space determines the properties of that space, such as its curvature and distance measurements. It helps define the geometry and structure of the space.


What are the best features to look for in a small range hood for a compact kitchen space?

When looking for a small range hood for a compact kitchen space, consider features like efficient ventilation power, compact size to fit the space, adjustable fan speeds, and easy-to-clean filters.


What is the geometrical interpretatio of semi metric space?

I am also dying to know geometrical interpretation of semi-metric space . If anyone have idea please do infrom me as well


What are the two factors that make urban settlements compact?

large population and lack of space in the cities, the settlement is compact