Search results

...tuples (a,b) and (b,a) are not equal, and the tuples (a,a) and (a) are not equal either. ...ltisets {a,b} and {b,a} are equal, but the multisets {a,a} and {a} are not equal. ...

...s of the pairs are equal, and also the second coordinates of the pairs are equal. ...

...nality of the set ''B'' is ''greater than or equal to'' (or ''more than or equal'' members) set ''B'' if and only if there is an injective function from ''A ...

...follows that the lengths of the pairs of sides opposite each other must be equal. A rectangle with all four sides equal in length is called a [[square (geometry)|square]]. ...

In [[algebra]], the '''discriminant''' of a [[polynomial]] that is equal to zero with [[real number|real]] or [[complex number|complex]] [[coefficie If the discriminant is equal to zero, then there are two repeating [[real numbers]], i.e. exactly one re ...

In all Parallelogram's opposite angles are equal to each other. *Two pairs of opposite sides are equal in length ...

...egular]] decagon, having all sides of equal length and each internal angle equal to 144°. ...

...i</math> and <math>\theta _r</math>) must be equal. Both angles have to be equal whenever reflection occurs. This is known as the "law of reflection". ...

...gle]]''' - A right-angled triangle is a triangle that has an angle that is equal to 90 degrees. (A triangle cannot have more than one right angle) The stand * '''Sine''' (sin) - The sine of an angle is equal to the <math>{\text{Opposite} \over \text{Hypotenuse}}</math><br /> ...

...]s of things can be ordered: Take the first element of a set, it is either equal to the element looked for, or there is an order relation that can be used t ...mple of a symmetric relation is "is equal to". If X "is equal to" Y, Y "is equal to" X. ...

...rface area and the time for planet 1 to cover segment ''A''₁ is equal to the time to cover segment ''A''₂. <br><br> (3) The total orbi #A line segment joining a planet and the Sun sweeps out equal areas during equal intervals of time. ...

*for [[circular orbit]]s: <math>e\,\!</math> is equal to zero, *for parabolic trajectories: <math>e\,\!</math> is equal to 1, ...

Power is also equal to force times velocity (or speed). ...focus]] light. It is measured in [[dioptre]]s (inverse [[metre]]s), and is equal to one over the [[focal length]] of the optical device. ...

| equals, is equal to | approximately equal ...

...hematics)|function]] counting the number of [[prime number]]s less than or equal to some [[real number]] ''x''. It is written as <math>\pi(x)</math>, but it ...

* A finite number is a number which is not equal to <math>\pm\infty</math>; all [[real number]]s are finite. ...

...ound the [[equation]] for [[energy]]: [[E=mc²]]. This means that energy is equal to a certain amount of [[mass]]. However, this is a simplified version of h ...f light (which is "c" in this equation), <math>\frac{v^2}{c^2}</math> will equal one, and since that would leave one minus one in the denominator, there wou ...

The '''solar mass''' is a [[unit of measurement]] of [[mass]]. It is equal to the mass of the [[Sun]], about 332,950 times the mass of the [[Earth]], ...

One of the [[angle]]s of a [[right triangle]] is always equal to 90 [[degree (geometry)|degrees]]. This angle is the [[right angle]]. The ...s that the [[area]] of a [[square (geometry)|square]] on the hypotenuse is equal to the [[sum]] of the areas of the squares on the legs. In this picture, th ...

...ple, 2 is the square root of 4, because 2×2=4. Only numbers bigger than or equal to zero have real square roots. A number bigger than zero has two square ro ...efer most likely to the base of a square. As the sides of a square are all equal, the word radix may be interpreted as side of a square, even not literally ...

...(antiderivative) of a function f is another function F whose derivative is equal to the first function f. ...of a function f with respect to the variable t over the interval [a,x] is equal to the function f with respect to x. This describes the derivative and inte ...

...subsequence (not necessarily consecutive) of these integers, whose sum is equal to <math> 0 </math>. (Hint: Consider <math> b_i=a_i-i </math>) ...ubsets <math> A'\subseteq A </math> and <math> B'\subseteq B </math> with equal sum, i.e. <math>\sum\limits_{x\in A'}x=\sum\limits_{y\in B'}y </math> (Hint ...

...values so the output of the function at the first value is [[less than or equal to]] the second value. In math terms this means <math>(x,r) \in \operatorn ...

...lost, and so the kinetic energy of the two objects after the collision is equal to their total kinetic energy before the collision. Elastic collisions occu Setting the two equal gives us our first equation: ...

...e <math>x + 1</math> does not have one because <math>x + 1</math> is never equal to ''x''. ...

The diameter of a circle is equal to twice its radius (''d'' equals 2 times ''r''). ...ivided by ''d''). As a [[Fraction (mathematics)|fraction]] the number π is equal to about {{frac|22|7}} or 335/113 (which is closer) and as a number it is ...

...hey are equal to each other. That is not true when the thing they are both equal to is 0/0. This means that the normal rules of maths do not work when the n ...

...eld]]s. Tesla can be measured in different ways; for example, one tesla is equal to one [[weber (unit)|weber]] per square meter. Using other SI derived units, a tesla is also equal to: ...

If the exponent is equal to 2, then the power is called '''square''' because the [[area]] of a [[squ If the exponent is equal to 3, then the power is called '''cube''' because the [[volume]] of a [[cub ...

...rved]] object, meaning that the total initial momentum of a system must be equal to the total final momentum of a system. Total amount of '''momentum''' re The meaning is that the net force on an object is equal to the rate of change in momentum of the object. ...

...umber ''a''. The new ratio is (''a''+''b'')/''a''. If these two ratios are equal to the same number, then that number is called the '''golden ratio'''. The ...a'' is then <math>(\varphi+1)/\varphi</math>. Because these two ratios are equal, this is true: ...

...ller than ''b'', that is, it is either bigger, or [[Equality (mathematics)|equal]] to ''b'') ...eq b</math> means that ''a'' is not bigger than ''b'', or it is smaller or equal to ''b'') ...

...s|mass]] {{math|''m''}}, the net force {{math|'''F'''}} on the particle is equal to the mass {{math|''m''}} times the particle's [[w:acceleration|accelerati ...to be confused with ''G'', the universal gravitational constant), roughly equal to 9.8 meters per second² (32 feet per second²) on Ea ...

...d be 0, and so <math>cos\theta</math> would be 1. So the two equations are equal. ...

...relative to the entire <math>2\pi</math> encompassing one orbit is simply equal to ratio of the time of flight to the [[orbit]]al [[orbital period|period]] ...

...hat values will cause the [[:en:Fraction_(mathematics)|denominator]] to be equal to 0 because this will make the function undefined, and therefore not [[:en ...

...ion]] with value of the [[weighted average]] of 2 points is [[less than or equal to]] the weighted average of the function at those points. Also, a functio ...

For an ideal (without [[friction]]) mechanism, it is also equal to: ...

...[[symbol rate]]. If one [[symbol]] can be transmitted per second, this is equal to one Baud. The unit is named after [[Jean-Maurice-Émile Baudot]] a French ...

A '''fraction''' is a number that shows how many equal parts there are. When we write fractions, we show one number with a line ab #Think of a cake made of 4 equal parts. Each is 1 part of 4. In maths, you write this as <math>\tfrac{1}{4}< ...

* 1 Newton is equal to the amount of force required to accelerate an object at a rate or 1 metr ...

The DI is equal to the minimum inter-cluster distance divided by the maximum cluster size. ...

...w many [[9 (number)|nines]] there are before the [[ellipsis]], it is still equal to 1. ...9, meaning there is no number between 0.999... and 1. Therefore, they are equal. ...

{{cquote|The increase in the internal energy of a thermodynamic system is equal to the amount of [[heat|heat energy]] added to the system minus the [[Work ...n the surroundings, and to state that the total energy added by heating is equal to the sum of the increase in internal energy plus the work done by the sys ...

...[[moment of inertia]] (resistance to angular acceleration or deceleration, equal to the product of the mass and the square of its perpendicular distance fro ...

...[[moment of inertia]] (resistance to angular acceleration or deceleration, equal to the product of the mass and the square of its perpendicular distance fro ...

...s, a satellite must go fast enough it misses the ground. For the forces to equal each other, ...[Gravitational constant]]. To make a circle, the angular frequency must be equal to, ...

...very bin <math>i</math>, the expected load <math>\mathbf{E}[X_i]</math> is equal to the average load <math>m/n</math>. ...is within <math>O\left(\frac{m}{n}\right)</math>, which is asymptotically equal to the average load. ...

The [[SI]] unit of electric current is the [[ampere]] (A). This is equal to one [[coulomb]] of charge in one second. ...n is caused by temperature, and electrons flowing in one direction tend to equal the electrons flowing from the other direction, so this is not what causes ...

...to 5 + 5, or 2 is equal to 5 + 5, or 3 is equal to 5 + 5, ... , or 100 is equal to 5 + 5, or ..., etc. : For at least one [[natural number]] ''n'', ''n'' is equal to 5+5. ...