plotmath package:grDevices R Documentation _M_a_t_h_e_m_a_t_i_c_a_l _A_n_n_o_t_a_t_i_o_n _i_n _R _D_e_s_c_r_i_p_t_i_o_n: If the 'text' argument to one of the text-drawing functions ('text', 'mtext', 'axis', 'legend') in R is an expression, the argument is interpreted as a mathematical expression and the output will be formatted according to TeX-like rules. Expressions can also be used for titles, subtitles and x- and y-axis labels (but not for axis labels on 'persp' plots). In most cases other language objects (names and calls, including formulas) are coerced to expressions and so can also be used. _D_e_t_a_i_l_s: A mathematical expression must obey the normal rules of syntax for any R expression, but it is interpreted according to very different rules than for normal R expressions. It is possible to produce many different mathematical symbols, generate sub- or superscripts, produce fractions, etc. The output from 'demo(plotmath)' includes several tables which show the available features. In these tables, the columns of grey text show sample R expressions, and the columns of black text show the resulting output. The available features are also described in the tables below: *Syntax* *Meaning* 'x + y' x plus y 'x - y' x minus y 'x*y' juxtapose x and y 'x/y' x forwardslash y 'x %+-% y' x plus or minus y 'x %/% y' x divided by y 'x %*% y' x times y 'x %.% y' x cdot y 'x[i]' x subscript i 'x^2' x superscript 2 'paste(x, y, z)' juxtapose x, y, and z 'sqrt(x)' square root of x 'sqrt(x, y)' yth root of x 'x == y' x equals y 'x != y' x is not equal to y 'x < y' x is less than y 'x <= y' x is less than or equal to y 'x > y' x is greater than y 'x >= y' x is greater than or equal to y 'x %~~% y' x is approximately equal to y 'x %=~% y' x and y are congruent 'x %==% y' x is defined as y 'x %prop% y' x is proportional to y 'plain(x)' draw x in normal font 'bold(x)' draw x in bold font 'italic(x)' draw x in italic font 'bolditalic(x)' draw x in bolditalic font 'symbol(x)' draw x in symbol font 'list(x, y, z)' comma-separated list '...' ellipsis (height varies) 'cdots' ellipsis (vertically centred) 'ldots' ellipsis (at baseline) 'x %subset% y' x is a proper subset of y 'x %subseteq% y' x is a subset of y 'x %notsubset% y' x is not a subset of y 'x %supset% y' x is a proper superset of y 'x %supseteq% y' x is a superset of y 'x %in% y' x is an element of y 'x %notin% y' x is not an element of y 'hat(x)' x with a circumflex 'tilde(x)' x with a tilde 'dot(x)' x with a dot 'ring(x)' x with a ring 'bar(xy)' xy with bar 'widehat(xy)' xy with a wide circumflex 'widetilde(xy)' xy with a wide tilde 'x %<->% y' x double-arrow y 'x %->% y' x right-arrow y 'x %<-% y' x left-arrow y 'x %up% y' x up-arrow y 'x %down% y' x down-arrow y 'x %<=>% y' x is equivalent to y 'x %=>% y' x implies y 'x %<=% y' y implies x 'x %dblup% y' x double-up-arrow y 'x %dbldown% y' x double-down-arrow y 'alpha' - 'omega' Greek symbols 'Alpha' - 'Omega' uppercase Greek symbols 'theta1, phi1, sigma1, omega1' cursive Greek symbols 'Upsilon1' capital upsilon with hook 'aleph' first letter of Hebrew alphabet 'infinity' infinity symbol 'partialdiff' partial differential symbol 'nabla' nabla, gradient symbol '32*degree' 32 degrees '60*minute' 60 minutes of angle '30*second' 30 seconds of angle 'displaystyle(x)' draw x in normal size (extra spacing) 'textstyle(x)' draw x in normal size 'scriptstyle(x)' draw x in small size 'scriptscriptstyle(x)' draw x in very small size 'underline(x)' draw x underlined 'x ~~ y' put extra space between x and y 'x + phantom(0) + y' leave gap for "0", but don't draw it 'x + over(1, phantom(0))' leave vertical gap for "0" (don't draw) 'frac(x, y)' x over y 'over(x, y)' x over y 'atop(x, y)' x over y (no horizontal bar) 'sum(x[i], i==1, n)' sum x[i] for i equals 1 to n 'prod(plain(P)(X==x), x)' product of P(X=x) for all values of x 'integral(f(x)*dx, a, b)' definite integral of f(x) wrt x 'union(A[i], i==1, n)' union of A[i] for i equals 1 to n 'intersect(A[i], i==1, n)' intersection of A[i] 'lim(f(x), x %->% 0)' limit of f(x) as x tends to 0 'min(g(x), x > 0)' minimum of g(x) for x greater than 0 'inf(S)' infimum of S 'sup(S)' supremum of S 'x^y + z' normal operator precedence 'x^(y + z)' visible grouping of operands 'x^{y + z}' invisible grouping of operands 'group("(",list(a, b),"]")' specify left and right delimiters 'bgroup("(",atop(x,y),")")' use scalable delimiters 'group(lceil, x, rceil)' special delimiters The symbol font uses Adobe Symbol encoding so, for example, a lower case mu can be obtained either by the special symbol 'mu' or by 'symbol("m")'. This provides access to symbols that have no special symbol name, for example, the universal, or forall, symbol is 'symbol("\042")'. Note to TeX users: TeX's '\Upsilon' is 'Upsilon1', TeX's '\varepsilon' is close to 'epsilon', and there is no equivalent of TeX's '\epsilon'. TeX's '\varpi' is close to 'omega1'. 'vartheta', 'varphi' and 'varsigma' are allowed as synonyms for 'theta1', 'phi1' and 'sigma1'. 'sigma1' is also known as 'stigma', its Unicode name. Control characters (e.g. '\n') are not interpreted in character strings in plotmath, unlike normal plotting. The fonts used are taken from the current font family, and so can be set by 'par(family=)' in base graphics, and 'gpar(fontfamily=)' in package 'grid'. _O_t_h_e_r _s_y_m_b_o_l_s: On many OSes and some graphics devices many other symbols are available as part of the standard text font, and all of the symbols in the Adobe Symbol encoding are in principle available _via_ changing the font face or (see 'Details') plotmath: see the examples section of 'points' for a function to display them. ('In principle' because some of the glyphs are missing from some implementations of the symbol font.) Unfortunately, 'postscript' and 'pdf' have support for little more than European and CJK characters and the Adobe Symbol encoding (and in a few fonts, also Cyrillic characters). In a UTF-8 locale any Unicode character can be entered, perhaps as a '\uxxxx' or '\Uxxxxxxxx' escape sequence, but the issue is whether the graphics device is able to display the character. The widest range of characters is likely to be available in the 'X11' device using cairo: see its help page for how installing additional fonts can help. In non-UTF-8 locales there is normally no support for symbols not in the languages for which the current encoding was intended. _R_e_f_e_r_e_n_c_e_s: Murrell, P. and Ihaka, R. (2000) An approach to providing mathematical annotation in plots. _Journal of Computational and Graphical Statistics_, *9*, 582-599. The symbol codes can be found in octal in the Adobe reference manuals, e.g. for Postscript or PDF and in decimal, octal and hex at . _S_e_e _A_l_s_o: 'demo(plotmath)', 'axis', 'mtext', 'text', 'title', 'substitute' 'quote', 'bquote' _E_x_a_m_p_l_e_s: require(graphics) x <- seq(-4, 4, len = 101) y <- cbind(sin(x), cos(x)) matplot(x, y, type = "l", xaxt = "n", main = expression(paste(plain(sin) * phi, " and ", plain(cos) * phi)), ylab = expression("sin" * phi, "cos" * phi), # only 1st is taken xlab = expression(paste("Phase Angle ", phi)), col.main = "blue") axis(1, at = c(-pi, -pi/2, 0, pi/2, pi), labels = expression(-pi, -pi/2, 0, pi/2, pi)) ## How to combine "math" and numeric variables : plot(1:10, type="n", xlab="", ylab="", main = "plot math & numbers") theta <- 1.23 ; mtext(bquote(hat(theta) == .(theta))) for(i in 2:9) text(i,i+1, substitute(list(xi,eta) == group("(",list(x,y),")"), list(x=i, y=i+1))) ## note that both of these use calls rather than expressions. plot(1:10, 1:10) text(4, 9, expression(hat(beta) == (X^t * X)^{-1} * X^t * y)) text(4, 8.4, "expression(hat(beta) == (X^t * X)^{-1} * X^t * y)", cex = .8) text(4, 7, expression(bar(x) == sum(frac(x[i], n), i==1, n))) text(4, 6.4, "expression(bar(x) == sum(frac(x[i], n), i==1, n))", cex = .8) text(8, 5, expression(paste(frac(1, sigma*sqrt(2*pi)), " ", plain(e)^{frac(-(x-mu)^2, 2*sigma^2)})), cex = 1.2) ## some other useful symbols plot.new(); plot.window(c(0,4), c(15,1)) text(1, 1, "universal", adj=0); text(2.5, 1, "\\042") text(3, 1, expression(symbol("\042"))) text(1, 2, "existential", adj=0); text(2.5, 2, "\\044") text(3, 2, expression(symbol("\044"))) text(1, 3, "suchthat", adj=0); text(2.5, 3, "\\047") text(3, 3, expression(symbol("\047"))) text(1, 4, "therefore", adj=0); text(2.5, 4, "\\134") text(3, 4, expression(symbol("\134"))) text(1, 5, "perpendicular", adj=0); text(2.5, 5, "\\136") text(3, 5, expression(symbol("\136"))) text(1, 6, "circlemultiply", adj=0); text(2.5, 6, "\\304") text(3, 6, expression(symbol("\304"))) text(1, 7, "circleplus", adj=0); text(2.5, 7, "\\305") text(3, 7, expression(symbol("\305"))) text(1, 8, "emptyset", adj=0); text(2.5, 8, "\\306") text(3, 8, expression(symbol("\306"))) text(1, 9, "angle", adj=0); text(2.5, 9, "\\320") text(3, 9, expression(symbol("\320"))) text(1, 10, "leftangle", adj=0); text(2.5, 10, "\\341") text(3, 10, expression(symbol("\341"))) text(1, 11, "rightangle", adj=0); text(2.5, 11, "\\361") text(3, 11, expression(symbol("\361")))