Since these equations represent two lines in the xy-plane, the simultaneous solution of these two equations i.

What Is a Field? What Are Instants and Durations? A duration is a measure of elapsed time. It is a number with temporal units such as years or seconds. The second is the agreed upon standard unit for the measurement of duration [in the S. In informal conversation, an instant is a very short duration.

In physics, however, an instant is even shorter. It is instantaneous; it has zero duration.

There is another sense of the word "instant" which means, not duration, but a time, as when we say it happened at that instant. Midnight could be such an instant. It is assumed in physics that an event is always a linear continuum of the instants or times or moments that compose the event, but it is an interesting philosophical question to ask how physicists know it is a continuum.

Nobody could ever measure time that finely, even indirectly. A brief comment on the terms: Regarding time, there is no standard terminology about whether to say interval of time or period of time, although the latter is more popular.

The measure of a period of time is called a "duration" and it always needs a unit. The term "interval" in the phrase " spacetime interval " is a different kind of interval. What Is an Event?

In ordinary discourse, an event is a happening lasting a finite duration during which some object changes its properties.

So, two events are the same if they are both events of the same object having the same property at the same time. A possible-worlds analysis of events might be the way to solve this problem of change.

Physicists, instead, adopt the idealization that a basic event is a point event: No objects need to be involved. The point event is specified relative to a reference frame. A physicist's event might be that an electron is there at that point in space at that point in time.

A point event might involve multiple properties, such as the value not only of the electromagnetic field but also the mass. Your trip to the supermarket to buy carrots is, in principle, analyzable as a collection of a great many point events. The point event is ontologically fundamental in the sense that an object is just a process which is composed of a, usually continuous, series of events.

A mathematical space is a collection of points, and the points need not represent real, physical space. Depending on the mathematical space, a point might represent anything, for example, an ordered-pair consisting of an item's sales price in dollars, and a salesperson's name. These points would compose a two-dimensional space, but the points of a real space, that is, a physical space, can only be spatial locations, that is, places.

For other philosophers it is unacceptable because it involves infinity, namely an infinitesimal size. Inin order to avoid point events altogether, Bertrand Russell and A. Whitehead developed a theory of time based on the assumption that all events in spacetime have a finite, non-zero duration.

They believed this defintion of event is closer to our common sense, our informal beliefs about events. McTaggart argued early in the twentieth century that events change. Many other philosophers those of the so-called B-camp believe it is improper to consider an event to be something that can change, and that the error is in not using the word "change" properly.

This is still an open question in philosophy, but physicists generally use the term "event" as the B-theorists do, namely as something that does not change.So for this equation right over here, we have an infinite number of solutions.

Let's think about this one right over here in the middle. So once again, let's try it. Find k if the following system of equations has a unique solution 2x + (k - 1)y = 6 3x + (2k + 1)y = 9 2.

Find k if the following system of equations has infinite solutions kx + 3y = k - 3 12x + ky = k 3.

In quantum mechanics, the SchrÃ¶dinger equation is a mathematical equation that describes the changes over time of a physical system in which quantum effects, such as waveâ€“particle duality, are webkandii.com systems are referred to as quantum (mechanical) systems. The equation is considered a central result in the study of quantum systems, and its derivation was a significant landmark in. Heroes and Villains - A little light reading. Here you will find a brief history of technology. Initially inspired by the development of batteries, it covers technology in general and includes some interesting little known, or long forgotten, facts as well as a few myths about the development of technology, the science behind it, the context in which it occurred and the deeds of the many. A nxn homogeneous system of linear equations has a unique solution (the trivial solution) if and only if its determinant is non-zero. If this determinant is zero, then the system has an infinite number of solutions.

Relativity and the Separation Formula. The bizarre effects of Special Relativity, introduced by Albert Einstein in , are manifest as time dilation, length contraction, and varying mass. Thus, as an object moves faster, time (t) passes more slowly for it, its length in the direction of motion (l) shrinks, and its mass (m) webkandii.com the velocity of light, time would stand still, length in.

Proof that any linear system cannot have exactly 2 solutions. Ask Question. which would mean the system has 2 infinite solutions. However, I don't think this is rigorous enough and nor do I understand completely why its true.

Can anyone help in explaining (correcting) and elaborating on the intuition and proof of this? Let's imagine. Time. Time is what a clock is used to measure.

Information about time tells the durations of events, and when they occur, and which events happen before which others, so time has a very significant role in the universe's organization.

Together they are a system of linear equations. Can you discover the values of x and y yourself? (Just have a go, play with them a bit.).

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Systems of Linear Equations