# Template:Math/testcases

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

## Escaping symbols

Also, 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'')}}`

{{Math}}

{ z : ℐm z > 0 } and u(t) = ℛe f ( t + 0·i ), then ℐm f ( t + 0·i ) = H(u)(t)

{{Math/sandbox}}

`{{=}}` { z : ℐm z > 0 } and u(t) = ℛe f ( t + 0·i ), then ℐm f ( t + 0·i ) = H(u)(t)

### The =-sign

• `{{Math|1+2=3}}`

{{Math}}

{{{1}}}

{{Math/sandbox}}

`{{=}}` {{{1}}} N

{{=}}
• `{{Math|1= 1+2=3 }}`

{{Math}}

1+2=3

{{Math/sandbox}}

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

### Using unnamed parameter 1

• `{{Math|1+2=3}}`

{{Math}}

{{{1}}}

{{Math/sandbox}}

`{{=}}` {{{1}}}N

• `{{Math|1=1+2=3}}`

{{Math}}

1+2=3

{{Math/sandbox}}

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

### The |-sign (pipe)

• `{{Math|a abs: | a | }}`

{{Math}}

a abs:

{{Math/sandbox}}

`{{=}}` a abs: N

{{!}}
• `{{Math|a abs: | a |}}`

{{Math}}

a abs: | a |

{{Math/sandbox}}

`{{=}}` a abs: | a |

blank positional
• `{{Math|a abs: | a | is a abs | }}`

{{Math}}

a abs:

{{Math/sandbox}}

`{{=}}` a abs: N

using {{!}}
• `{{Math|a abs: | a | is a abs | }}`

{{Math}}

a abs: | a | is a abs |

{{Math/sandbox}}

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

## Times New Roman (current template)

(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) = bx = 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 = bt) on the graph of the exponential function yields a point (u, t = logbu) 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) = bx is continuous and differentiable, so is its inverse function, logb(x). Roughly speaking, a differentiable function is one whose graph has no sharp "corners".

## Computer Modern Unicode, Times New Roman (/sandbox1)

(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) = bx = 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 = bt) on the graph of the exponential function yields a point (u, t = logbu) 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) = bx is continuous and differentiable, so is its inverse function, logb(x). Roughly speaking, a differentiable function is one whose graph has no sharp "corners".

## Palatino Linotype (/sandbox2)

(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) = bx = 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 = bt) on the graph of the exponential function yields a point (u, t = logbu) 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) = bx is continuous and differentiable, so is its inverse function, logb(x). Roughly speaking, a differentiable function is one whose graph has no sharp "corners".

## Century Schoolbook (/sandbox3)

(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) = bx = 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 = bt) on the graph of the exponential function yields a point (u, t = logbu) 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) = bx is continuous and differentiable, so is its inverse function, logb(x). Roughly speaking, a differentiable function is one whose graph has no sharp "corners".

## Cambria (/sandbox4)

(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) = bx = 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 = bt) on the graph of the exponential function yields a point (u, t = logbu) 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) = bx is continuous and differentiable, so is its inverse function, logb(x). Roughly speaking, a differentiable function is one whose graph has no sharp "corners".

## Constantia (/sandbox5)

(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) = bx = 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 = bt) on the graph of the exponential function yields a point (u, t = logbu) 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) = bx is continuous and differentiable, so is its inverse function, logb(x). Roughly speaking, a differentiable function is one whose graph has no sharp "corners".