Template:Math/testcases

This is the template test cases page for the sandbox of Template:Math. Purge this page to update the examples.
If there are many examples of a complicated template, later ones may break due to limits in MediaWiki; see the HTML comment "NewPP limit report" in the rendered page.
You can also use Special:ExpandTemplates to examine the results of template uses.
You can test how this page looks in the different skins and parsers with these links:

This page is for testing in the Cologne Blue, Modern, Monobook and Vector skins. Sans-serif / serif scaling ratio is 118%.

Escaping symbols[edit]

Also, preview warning can be checked

basic

{{Math |1={ ''z'' : ℐ<sub>''m''</sub> ''z'' > 0 } and ''u''(''t'') = ℛ<sub>''e''</sub> ''f'' ( ''t'' + 0·''i'' ), then  ℐ<sub>''m''</sub> ''f'' ( ''t'' + 0·''i'' ) = ''H''(''u'')(''t'')}}

${z : ℐ m z > 0 } and u (t) = ℛ e f (t + 0\cdot i), then ℐ m f (t + 0\cdot i) = H (u)(t)$

{{=}} ${z : ℐ m z > 0 } and u (t) = ℛ e f (t + 0\cdot i), then ℐ m f (t + 0\cdot i) = H (u)(t)$ Y

The =-sign[edit]

```
{{Math |1+2=3}}
```

${{{1}}}$

{{=}} ${{{1}}}$ N

```
{{Math |1= 1+2=3 }}
```

$1+2=3$

{{=}} $1+2=3$ Y

Using unnamed parameter 1[edit]

```
{{Math |1+2=3}}
```

${{{1}}}$

{{=}} ${{{1}}}$ N

```
{{Math |1=1+2=3}}
```

$1+2=3$

{{=}} $1+2=3$ Y

The |-sign (pipe)[edit]

```
{{Math|a abs: | a | }}
```

$a abs:$

{{=}} $a abs:$ N

```
{{Math|a abs: | a |}}
```

$a abs: | a |$

{{=}} $a abs: | a |$ Y

blank positional

```
{{Math|a abs: | a | is a abs | }}
```

$a abs:$

{{=}} $a abs:$ N

using {{!}}

```
{{Math|a abs: | a | is a abs | }}
```

$a abs: | a | is a abs |$

{{=}} $a abs: | a | is a abs |$ Y

Times New Roman (current template)[edit]

(font-family: 'Times New Roman', 'Nimbus Roman No9 L', Times, serif;)

A compact way of rephrasing the point that the base- $b$ logarithm of $y$ is the solution $x$ to the equation $f (x) = b x = y$ is to say that the logarithm function is the inverse function of the exponential function. Inverse functions are closely related to the original functions: the graphs of the two correspond to each other upon reflecting them at the diagonal line $x = y$ , as shown at the right: a point $(t, u = b t)$ on the graph of the exponential function yields a point $(u, t = log b u)$ on the graph of the logarithm and vice versa. Moreover, analytic properties of the function pass to its inverse function. Thus, as the exponential function $f (x) = b x$ is continuous and differentiable, so is its inverse function, $log b (x)$ . Roughly speaking, a differentiable function is one whose graph has no sharp "corners".

Computer Modern Unicode, Times New Roman (/sandbox1)[edit]

(font-family: 'CMU Serif', 'Times New Roman', 'Nimbus Roman No9 L', Times, serif;)

A compact way of rephrasing the point that the base- $b$ logarithm of $y$ is the solution $x$ to the equation $f (x) = b x = y$ is to say that the logarithm function is the inverse function of the exponential function. Inverse functions are closely related to the original functions: the graphs of the two correspond to each other upon reflecting them at the diagonal line $x = y$ , as shown at the right: a point $(t, u = b t)$ on the graph of the exponential function yields a point $(u, t = log b u)$ on the graph of the logarithm and vice versa. Moreover, analytic properties of the function pass to its inverse function. Thus, as the exponential function $f (x) = b x$ is continuous and differentiable, so is its inverse function, $log b (x)$ . Roughly speaking, a differentiable function is one whose graph has no sharp "corners".

Palatino Linotype (/sandbox2)[edit]

(font-family: 'Palatino Linotype', 'URW Palladio L', Palatino, serif;)

A compact way of rephrasing the point that the base- $b$ logarithm of $y$ is the solution $x$ to the equation $f (x) = b x = y$ is to say that the logarithm function is the inverse function of the exponential function. Inverse functions are closely related to the original functions: the graphs of the two correspond to each other upon reflecting them at the diagonal line $x = y$ , as shown at the right: a point $(t, u = b t)$ on the graph of the exponential function yields a point $(u, t = log b u)$ on the graph of the logarithm and vice versa. Moreover, analytic properties of the function pass to its inverse function. Thus, as the exponential function $f (x) = b x$ is continuous and differentiable, so is its inverse function, $log b (x)$ . Roughly speaking, a differentiable function is one whose graph has no sharp "corners".

Century Schoolbook (/sandbox3)[edit]

(font-family: 'Century Schoolbook', 'Century Schoolbook L', serif;)

A compact way of rephrasing the point that the base- $b$ logarithm of $y$ is the solution $x$ to the equation $f (x) = b x = y$ is to say that the logarithm function is the inverse function of the exponential function. Inverse functions are closely related to the original functions: the graphs of the two correspond to each other upon reflecting them at the diagonal line $x = y$ , as shown at the right: a point $(t, u = b t)$ on the graph of the exponential function yields a point $(u, t = log b u)$ on the graph of the logarithm and vice versa. Moreover, analytic properties of the function pass to its inverse function. Thus, as the exponential function $f (x) = b x$ is continuous and differentiable, so is its inverse function, $log b (x)$ . Roughly speaking, a differentiable function is one whose graph has no sharp "corners".

Cambria (/sandbox4)[edit]

(font-family: Cambria, serif;)

A compact way of rephrasing the point that the base- $b$ logarithm of $y$ is the solution $x$ to the equation $f (x) = b x = y$ is to say that the logarithm function is the inverse function of the exponential function. Inverse functions are closely related to the original functions: the graphs of the two correspond to each other upon reflecting them at the diagonal line $x = y$ , as shown at the right: a point $(t, u = b t)$ on the graph of the exponential function yields a point $(u, t = log b u)$ on the graph of the logarithm and vice versa. Moreover, analytic properties of the function pass to its inverse function. Thus, as the exponential function $f (x) = b x$ is continuous and differentiable, so is its inverse function, $log b (x)$ . Roughly speaking, a differentiable function is one whose graph has no sharp "corners".

Constantia (/sandbox5)[edit]

(font-family: Constantia, serif)

A compact way of rephrasing the point that the base- $b$ logarithm of $y$ is the solution $x$ to the equation $f (x) = b x = y$ is to say that the logarithm function is the inverse function of the exponential function. Inverse functions are closely related to the original functions: the graphs of the two correspond to each other upon reflecting them at the diagonal line $x = y$ , as shown at the right: a point $(t, u = b t)$ on the graph of the exponential function yields a point $(u, t = log b u)$ on the graph of the logarithm and vice versa. Moreover, analytic properties of the function pass to its inverse function. Thus, as the exponential function $f (x) = b x$ is continuous and differentiable, so is its inverse function, $log b (x)$ . Roughly speaking, a differentiable function is one whose graph has no sharp "corners".

abs[edit]